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  Subjects -> COMPUTER SCIENCE (Total: 1993 journals)
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COMPUTER SCIENCE (1157 journals)                  1 2 3 4 5 6 | Last

Showing 1 - 200 of 872 Journals sorted alphabetically
3D Printing and Additive Manufacturing     Full-text available via subscription   (Followers: 13)
Abakós     Open Access   (Followers: 3)
Academy of Information and Management Sciences Journal     Full-text available via subscription   (Followers: 69)
ACM Computing Surveys     Hybrid Journal   (Followers: 22)
ACM Journal on Computing and Cultural Heritage     Hybrid Journal   (Followers: 9)
ACM Journal on Emerging Technologies in Computing Systems     Hybrid Journal   (Followers: 13)
ACM Transactions on Accessible Computing (TACCESS)     Hybrid Journal   (Followers: 3)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Applied Perception (TAP)     Hybrid Journal   (Followers: 6)
ACM Transactions on Architecture and Code Optimization (TACO)     Hybrid Journal   (Followers: 9)
ACM Transactions on Autonomous and Adaptive Systems (TAAS)     Hybrid Journal   (Followers: 7)
ACM Transactions on Computation Theory (TOCT)     Hybrid Journal   (Followers: 11)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Computer Systems (TOCS)     Hybrid Journal   (Followers: 18)
ACM Transactions on Computer-Human Interaction     Hybrid Journal   (Followers: 13)
ACM Transactions on Computing Education (TOCE)     Hybrid Journal   (Followers: 3)
ACM Transactions on Design Automation of Electronic Systems (TODAES)     Hybrid Journal   (Followers: 1)
ACM Transactions on Economics and Computation     Hybrid Journal  
ACM Transactions on Embedded Computing Systems (TECS)     Hybrid Journal   (Followers: 4)
ACM Transactions on Information Systems (TOIS)     Hybrid Journal   (Followers: 20)
ACM Transactions on Intelligent Systems and Technology (TIST)     Hybrid Journal   (Followers: 8)
ACM Transactions on Interactive Intelligent Systems (TiiS)     Hybrid Journal   (Followers: 3)
ACM Transactions on Multimedia Computing, Communications, and Applications (TOMCCAP)     Hybrid Journal   (Followers: 10)
ACM Transactions on Reconfigurable Technology and Systems (TRETS)     Hybrid Journal   (Followers: 7)
ACM Transactions on Sensor Networks (TOSN)     Hybrid Journal   (Followers: 8)
ACM Transactions on Speech and Language Processing (TSLP)     Hybrid Journal   (Followers: 11)
ACM Transactions on Storage     Hybrid Journal  
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 21)
Acta Automatica Sinica     Full-text available via subscription   (Followers: 3)
Acta Universitatis Cibiniensis. Technical Series     Open Access  
Ad Hoc Networks     Hybrid Journal   (Followers: 11)
Adaptive Behavior     Hybrid Journal   (Followers: 11)
Advanced Engineering Materials     Hybrid Journal   (Followers: 26)
Advanced Science Letters     Full-text available via subscription   (Followers: 7)
Advances in Adaptive Data Analysis     Hybrid Journal   (Followers: 8)
Advances in Artificial Intelligence     Open Access   (Followers: 16)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Computer Science : an International Journal     Open Access   (Followers: 13)
Advances in Computing     Open Access   (Followers: 2)
Advances in Data Analysis and Classification     Hybrid Journal   (Followers: 53)
Advances in Engineering Software     Hybrid Journal   (Followers: 25)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Human-Computer Interaction     Open Access   (Followers: 20)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Parallel Computing     Full-text available via subscription   (Followers: 7)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Remote Sensing     Open Access   (Followers: 37)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Advances in Technology Innovation     Open Access   (Followers: 1)
AEU - International Journal of Electronics and Communications     Hybrid Journal   (Followers: 8)
African Journal of Information and Communication     Open Access   (Followers: 6)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Air, Soil & Water Research     Open Access   (Followers: 7)
AIS Transactions on Human-Computer Interaction     Open Access   (Followers: 6)
Algebras and Representation Theory     Hybrid Journal   (Followers: 1)
Algorithms     Open Access   (Followers: 11)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 4)
American Journal of Computational Mathematics     Open Access   (Followers: 4)
American Journal of Information Systems     Open Access   (Followers: 7)
American Journal of Sensor Technology     Open Access   (Followers: 4)
Anais da Academia Brasileira de Ciências     Open Access   (Followers: 2)
Analog Integrated Circuits and Signal Processing     Hybrid Journal   (Followers: 7)
Analysis in Theory and Applications     Hybrid Journal   (Followers: 1)
Animation Practice, Process & Production     Hybrid Journal   (Followers: 5)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 9)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 6)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of Software Engineering     Hybrid Journal   (Followers: 12)
Annual Reviews in Control     Hybrid Journal   (Followers: 6)
Anuario Americanista Europeo     Open Access  
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applied and Computational Harmonic Analysis     Full-text available via subscription   (Followers: 2)
Applied Artificial Intelligence: An International Journal     Hybrid Journal   (Followers: 14)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Clinical Informatics     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Computer Systems     Open Access   (Followers: 1)
Applied Informatics     Open Access  
Applied Mathematics and Computation     Hybrid Journal   (Followers: 32)
Applied Medical Informatics     Open Access   (Followers: 10)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Soft Computing     Hybrid Journal   (Followers: 16)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Architectural Theory Review     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives and Museum Informatics     Hybrid Journal   (Followers: 125)
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Artifact     Hybrid Journal   (Followers: 2)
Artificial Life     Hybrid Journal   (Followers: 6)
Asia Pacific Journal on Computational Engineering     Open Access  
Asia-Pacific Journal of Information Technology and Multimedia     Open Access   (Followers: 1)
Asian Journal of Computer Science and Information Technology     Open Access  
Asian Journal of Control     Hybrid Journal  
Assembly Automation     Hybrid Journal   (Followers: 2)
at - Automatisierungstechnik     Hybrid Journal   (Followers: 1)
Australian Educational Computing     Open Access  
Automatic Control and Computer Sciences     Hybrid Journal   (Followers: 3)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Automatica     Hybrid Journal   (Followers: 9)
Automation in Construction     Hybrid Journal   (Followers: 6)
Autonomous Mental Development, IEEE Transactions on     Hybrid Journal   (Followers: 8)
Basin Research     Hybrid Journal   (Followers: 5)
Behaviour & Information Technology     Hybrid Journal   (Followers: 52)
Bioinformatics     Hybrid Journal   (Followers: 308)
Biomedical Engineering     Hybrid Journal   (Followers: 16)
Biomedical Engineering and Computational Biology     Open Access   (Followers: 13)
Biomedical Engineering, IEEE Reviews in     Full-text available via subscription   (Followers: 17)
Biomedical Engineering, IEEE Transactions on     Hybrid Journal   (Followers: 31)
Briefings in Bioinformatics     Hybrid Journal   (Followers: 46)
British Journal of Educational Technology     Hybrid Journal   (Followers: 123)
Broadcasting, IEEE Transactions on     Hybrid Journal   (Followers: 10)
c't Magazin fuer Computertechnik     Full-text available via subscription   (Followers: 2)
CALCOLO     Hybrid Journal  
Calphad     Hybrid Journal  
Canadian Journal of Electrical and Computer Engineering     Full-text available via subscription   (Followers: 14)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
Cell Communication and Signaling     Open Access   (Followers: 1)
Central European Journal of Computer Science     Hybrid Journal   (Followers: 5)
CERN IdeaSquare Journal of Experimental Innovation     Open Access  
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chemometrics and Intelligent Laboratory Systems     Hybrid Journal   (Followers: 15)
ChemSusChem     Hybrid Journal   (Followers: 7)
China Communications     Full-text available via subscription   (Followers: 7)
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
CIN Computers Informatics Nursing     Full-text available via subscription   (Followers: 12)
Circuits and Systems     Open Access   (Followers: 16)
Clean Air Journal     Full-text available via subscription   (Followers: 2)
CLEI Electronic Journal     Open Access  
Clin-Alert     Hybrid Journal   (Followers: 1)
Cluster Computing     Hybrid Journal   (Followers: 1)
Cognitive Computation     Hybrid Journal   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Communication Methods and Measures     Hybrid Journal   (Followers: 11)
Communication Theory     Hybrid Journal   (Followers: 20)
Communications Engineer     Hybrid Journal   (Followers: 1)
Communications in Algebra     Hybrid Journal   (Followers: 3)
Communications in Partial Differential Equations     Hybrid Journal   (Followers: 3)
Communications of the ACM     Full-text available via subscription   (Followers: 53)
Communications of the Association for Information Systems     Open Access   (Followers: 18)
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering     Hybrid Journal   (Followers: 3)
Complex & Intelligent Systems     Open Access  
Complex Adaptive Systems Modeling     Open Access  
Complex Analysis and Operator Theory     Hybrid Journal   (Followers: 2)
Complexity     Hybrid Journal   (Followers: 6)
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Computación y Sistemas     Open Access  
Computation     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational and Structural Biotechnology Journal     Open Access   (Followers: 2)
Computational and Theoretical Chemistry     Hybrid Journal   (Followers: 9)
Computational Astrophysics and Cosmology     Open Access   (Followers: 1)
Computational Biology and Chemistry     Hybrid Journal   (Followers: 12)
Computational Chemistry     Open Access   (Followers: 2)
Computational Cognitive Science     Open Access   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Condensed Matter     Open Access  
Computational Ecology and Software     Open Access   (Followers: 9)
Computational Economics     Hybrid Journal   (Followers: 9)
Computational Geosciences     Hybrid Journal   (Followers: 14)
Computational Linguistics     Open Access   (Followers: 23)
Computational Management Science     Hybrid Journal  
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Molecular Bioscience     Open Access   (Followers: 2)
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computational Particle Mechanics     Hybrid Journal   (Followers: 1)
Computational Research     Open Access   (Followers: 1)
Computational Science and Discovery     Full-text available via subscription   (Followers: 2)
Computational Science and Techniques     Open Access  
Computational Statistics     Hybrid Journal   (Followers: 13)
Computational Statistics & Data Analysis     Hybrid Journal   (Followers: 31)
Computer     Full-text available via subscription   (Followers: 84)
Computer Aided Surgery     Hybrid Journal   (Followers: 3)
Computer Applications in Engineering Education     Hybrid Journal   (Followers: 6)
Computer Communications     Hybrid Journal   (Followers: 10)
Computer Engineering and Applications Journal     Open Access   (Followers: 5)
Computer Journal     Hybrid Journal   (Followers: 7)
Computer Methods in Applied Mechanics and Engineering     Hybrid Journal   (Followers: 22)
Computer Methods in Biomechanics and Biomedical Engineering     Hybrid Journal   (Followers: 10)
Computer Methods in the Geosciences     Full-text available via subscription   (Followers: 1)
Computer Music Journal     Hybrid Journal   (Followers: 16)
Computer Physics Communications     Hybrid Journal   (Followers: 6)
Computer Science - Research and Development     Hybrid Journal   (Followers: 7)
Computer Science and Engineering     Open Access   (Followers: 17)
Computer Science and Information Technology     Open Access   (Followers: 11)
Computer Science Education     Hybrid Journal   (Followers: 12)
Computer Science Journal     Open Access   (Followers: 20)
Computer Science Master Research     Open Access   (Followers: 10)
Computer Science Review     Hybrid Journal   (Followers: 10)

        1 2 3 4 5 6 | Last

Journal Cover Applied Mathematics and Computation
  [SJR: 1.008]   [H-I: 100]   [32 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0096-3003
   Published by Elsevier Homepage  [3044 journals]
  • Mechanism of MDCK II cell polarization during the cell division: A
           computational study
    • Authors: Myles Kim
      Pages: 1 - 11
      Abstract: Publication date: 15 January 2018
      Source:Applied Mathematics and Computation, Volume 317
      Author(s): Myles Kim
      Some epithelial cells form a monolayer and individual cell in the monolayer is polarized with respect to the membrane protein location and the intracellular structure. It is observed that mitosis and cytokinesis occur in parallel to the monolayer plane so that the monolayer structure is maintained. The centrosome locations of non-mitotic cells, however, are not necessarily positioned to lead the parallel cell division. Therefore, there must be mechanisms by which centrosomes get relocated, for example in MDCK II cells, from the apical domain to lateral domain to have a proper mitosis and moved back to the apical domain after the cytokinesis. The mechanisms, however, remain poorly understood, especially the mechanical part. A computational model is constructed for centriolic microtubule asters which are driven by localized molecular motors on the cortical layer. This model shows that the interaction between the cortical bound molecular motors and microtubules can lead the two-way relocation of the centrosome. The model also shows that the microtubule dynamic instability plays an important role in initiating the relocation, the tight junction is a key element in positioning the centrosome, and the swelling nucleus can accelerate the movement of centrosome to the lateral side.

      PubDate: 2017-09-14T01:20:45Z
      DOI: 10.1016/j.amc.2017.08.054
      Issue No: Vol. 317 (2017)
       
  • Weighted G-Drazin inverses and a new pre-order on rectangular matrices
    • Authors: C. Coll; M. Lattanzi; N. Thome
      Pages: 12 - 24
      Abstract: Publication date: 15 January 2018
      Source:Applied Mathematics and Computation, Volume 317
      Author(s): C. Coll, M. Lattanzi, N. Thome
      This paper deals with weighted G-Drazin inverses, which is a new class of matrices introduced to extend (to the rectangular case) G-Drazin inverses recently considered by Wang and Liu for square matrices. First, we define and characterize weighted G-Drazin inverses. Next, we consider a new pre-order defined on complex rectangular matrices based on weighted G-Drazin inverses. Finally, we characterize this pre-order and relate it to the minus partial order and to the weighted Drazin pre-order.

      PubDate: 2017-09-14T01:20:45Z
      DOI: 10.1016/j.amc.2017.08.047
      Issue No: Vol. 317 (2017)
       
  • Network-based H∞ state estimation for neural networks using
           imperfect measurement
    • Authors: Tae H. Lee; Ju H. Park; Hoyoul Jung
      Pages: 205 - 214
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Tae H. Lee, Ju H. Park, Hoyoul Jung
      This study considers the network-based H ∞ state estimation problem for neural networks where transmitted measurements suffer from the sampling effect, external disturbance, network-induced delay, and packet dropout as network constraints. The external disturbance, network-induced delay, and packet dropout affect the measurements at only the sampling instants owing to the sampling effect. In addition, when packet dropout occurs, the last received data are used. To tackle the imperfect signals, a compensator is designed, and then by aid of the compensator, H ∞ filter which guarantees desired performance is designed as well. A numerical example is given to illustrate the validity of the proposed methods.

      PubDate: 2017-09-02T12:43:34Z
      DOI: 10.1016/j.amc.2017.08.034
      Issue No: Vol. 316 (2017)
       
  • Analysis of deterministic and stochastic mathematical models with
           resistant bacteria and bacteria debris for bacteriophage dynamics
    • Authors: Sukhitha W. Vidurupola
      Pages: 215 - 228
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Sukhitha W. Vidurupola
      Bacteriophages, more colloquially known as phages, are viruses that kill bacteria. Phages are used to treat bacterial infections. In this paper, an underlying deterministic bacteriophage model is extended with the objective of investigating bacteria-phage dynamics taking into account resistant bacteria and bacteria debris, and is analyzed. In addition, this extended model accounts for multiple phage attachment and phage loss due to attachment to latently and actively infected bacteria. Based on this extended deterministic model, two new stochastic models, a continuous-time Markov chain (CTMC) model and an Itô stochastic differential equation (SDE) model were derived and analyzed. Numerical examples illustrate some of the dynamics of the bacteriophage interaction when resistant bacteria are present.

      PubDate: 2017-09-08T01:06:21Z
      DOI: 10.1016/j.amc.2017.08.022
      Issue No: Vol. 316 (2017)
       
  • Finite-time stability and stabilization of switched nonlinear systems with
           asynchronous switching
    • Authors: Ronghao Wang; Jianchun Xing; Zhengrong Xiang
      Pages: 229 - 244
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Ronghao Wang, Jianchun Xing, Zhengrong Xiang
      This paper is concerned with the problem of finite-time stability and stabilization for switched nonlinear systems with asynchronous switching. Firstly, when not all subsystems are finite-time stable (FTS), we propose a finite-time stability criteria to show that if the constraint condition between the settling time and the average dwell time is satisfied, finite-time stability of the system is guaranteed. Then we extend the result to the case which Lipschitzian perturbations exist in the subsystems. When asynchronous switching is considered and not all closed-loop subsystems are finite-time stabilizable, we recur to the generalized inverse of matrices to design a state feedback controller to stabilize the original system. Finally, an example of two container liquid-level system is provided to illustrate the effectiveness of developed result.

      PubDate: 2017-09-08T01:06:21Z
      DOI: 10.1016/j.amc.2017.08.017
      Issue No: Vol. 316 (2017)
       
  • Fast calculation of inverse square root with the use of magic constant
           – analytical approach
    • Authors: Leonid V. Moroz; Cezary J. Walczyk; Andriy Hrynchyshyn; Vijay Holimath; Jan L. Cieśliński
      Pages: 245 - 255
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Leonid V. Moroz, Cezary J. Walczyk, Andriy Hrynchyshyn, Vijay Holimath, Jan L. Cieśliński
      We present a mathematical analysis of transformations used in fast calculation of inverse square root for single-precision floating-point numbers. Optimal values of the so called magic constants are derived in a systematic way, minimizing either relative or absolute errors. We show that the value of the magic constant can depend on the number of Newton–Raphson iterations. We present results for one and two iterations.

      PubDate: 2017-09-08T01:06:21Z
      DOI: 10.1016/j.amc.2017.08.025
      Issue No: Vol. 316 (2017)
       
  • Efficient hypersingular line and surface integrals direct evaluation by
           complex variable differentiation method
    • Authors: Cheuk-Yu Lee; Hui Wang; Qing-Hua Qin
      Pages: 256 - 281
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Cheuk-Yu Lee, Hui Wang, Qing-Hua Qin
      We present an efficient numerical scheme to evaluate hypersingular integrals appeared in boundary element methods. The hypersingular integrals are first separated into regular and singular parts, in which the singular integrals are defined as limits around the singularity and their values are determined analytically by taking the finite part values. The remaining regular integrals can be evaluated using rational interpolatory quadrature or complex variable differentiation (CVDM) for the regular function when machine precision like accuracy is required. The proposed method is then generalised for evaluating hypersingular surface integrals, in which the inner integral is treated as the hypersingular line integral via coordinate transformations. The procedure is implemented into 8-node rectangular boundary element and 6-node triangular element for numerical evaluation. Finally, several numerical examples are presented to demonstrate the efficiency of the present method. To the best of our knowledge, the proposed method is more accurate, faster and more generalised than other methods available in the literature to evaluate hypersingular integrals.

      PubDate: 2017-09-08T01:06:21Z
      DOI: 10.1016/j.amc.2017.08.027
      Issue No: Vol. 316 (2017)
       
  • Discretization and dynamic consistency of a delayed and diffusive viral
           infection model
    • Authors: Yan Geng; Jinhu Xu; Jiangyong Hou
      Pages: 282 - 295
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Yan Geng, Jinhu Xu, Jiangyong Hou
      A diffusive and delayed viral infection model with nonlinear incidence has been studied, and the global dynamical behaviors of the original model is investigated by constructing Lyapunov functionals. Furthermore, the analysis is carried out for the discrete model which is obtained by applying the nonstandard finite difference (NSFD) scheme to the original continuous model. The global stability for the corresponding equilibria is investigated by constructing discrete Lyapunov functionals as well as the positivity and boundedness of solutions of the corresponding continuous model. The results imply that the discretization scheme can efficiently preserves the qualitative properties of solutions for the original continuous model. Numerical experiments are carried out to support the theoretical results.

      PubDate: 2017-09-08T01:06:21Z
      DOI: 10.1016/j.amc.2017.08.041
      Issue No: Vol. 316 (2017)
       
  • How many k-step linear block methods exist and which of them is the most
           efficient and simplest one'
    • Authors: Higinio Ramos; Paul Popescu
      Pages: 296 - 309
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Higinio Ramos, Paul Popescu
      There have appeared in the literature a lot of k-step block methods for solving initial-value problems. The methods consist in a set of k simultaneous multistep formulas over k non-overlapping intervals. A feature of block methods is that there is no need of other procedures to provide starting approximations, and thus the methods are self-starting (sharing this advantage of Runge–Kutta methods). All the formulas are usually obtained from a continuous approximation derived via interpolation and collocation at k + 1 points. Nevertheless, all the k-step block methods thus obtained may be considered as different formulations of one of them, which results to be the most efficient and simple formulation of all of them. The theoretical analysis and the numerical experiments presented support this claim.

      PubDate: 2017-09-08T01:06:21Z
      DOI: 10.1016/j.amc.2017.08.036
      Issue No: Vol. 316 (2017)
       
  • Threshold behavior in a stochastic SIQR epidemic model with standard
           incidence and regime switching
    • Authors: Qun Liu; Daqing Jiang; Ningzhong Shi
      Pages: 310 - 325
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Qun Liu, Daqing Jiang, Ningzhong Shi
      This paper is concerned with the dynamical behavior of a stochastic SIQR epidemic model with standard incidence which is disturbed by both white and telegraph noises. Firstly, we obtain sufficient conditions for persistence in the mean of the disease. Then we establish sufficient conditions for extinction of the disease. In addition, in the case of persistence, we get sufficient conditions for the existence of positive recurrence of the solutions by constructing a suitable stochastic Lyapunov function with regime switching. Meanwhile, the threshold between persistence in the mean and extinction of the stochastic system is also obtained. Finally, some numerical simulations are introduced to demonstrate the analytical results.

      PubDate: 2017-09-08T01:06:21Z
      DOI: 10.1016/j.amc.2017.08.042
      Issue No: Vol. 316 (2017)
       
  • Stochastic stability and instability of an epidemic model with relapse
    • Authors: Mohamed El Fatini; Aadil Lahrouz; Roger Pettersson; Adel Settati; Regragui Taki
      Pages: 326 - 341
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Mohamed El Fatini, Aadil Lahrouz, Roger Pettersson, Adel Settati, Regragui Taki
      In this paper, we present a stochastic epidemic model with relapse. First, we prove global positivity of solutions. Then we discuss stability of the disease-free equilibrium state and we show extinction of epidemics using Lyapunov functions. Furthermore we show persistence of the disease under some conditions on parameters of the model. Our numerical simulations confirm the analytical results.

      PubDate: 2017-09-08T01:06:21Z
      DOI: 10.1016/j.amc.2017.08.037
      Issue No: Vol. 316 (2017)
       
  • Stability and convergence of second order time discrete projection method
           for the linearized Oldroyd model
    • Authors: Jing Zhao; Tong Zhang; Yanxia Qian
      Pages: 342 - 356
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Jing Zhao, Tong Zhang, Yanxia Qian
      In this paper, we consider the second order time discrete projection method for the linearized Oldroyd model based on the time iterative discrete scheme. By the projection method, the original problem is decoupled into two linear subproblems, and each subproblem can be solved easily. Unconditional stability and the corresponding convergence results of the numerical solutions are derived. Our main results are that the convergence orders in time for the velocity in L 2-norm is second order and for the pressure in H 1-norm is first order. Finally, some numerical examples are provided to verify the performances of the developed numerical method.

      PubDate: 2017-09-08T01:06:21Z
      DOI: 10.1016/j.amc.2017.08.024
      Issue No: Vol. 316 (2017)
       
  • Compact θ-method for the generalized delay diffusion equation
    • Authors: Qifeng Zhang; Mengzhe Chen; Yinghong Xu; Dinghua Xu
      Pages: 357 - 369
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Qifeng Zhang, Mengzhe Chen, Yinghong Xu, Dinghua Xu
      The generalized diffusion equation with a delay has inherent complex nature because its analytical solutions are hard to obtain. Therefore, one has to seek numerical methods, especially the high-order accurate ones, for their approximate solutions. In this paper, we have established the results of the numerical asymptotic stability of the compact θ-method for the generalized delay diffusion equation. It shows that the compact θ-method is asymptotically stable if and only if ( k + r ) Δ t h 2 < 10 − cos ( h ) 12 ( 1 + cos ( h ) ) ( 1 − 2 θ ) for θ ∈ [ 0 , 1 2 ) and is unconditionally asymptotically stable for θ ∈ [ 1 2 , 1 ] , respectively. The convergent results in the maximum norm are studied according to the consistency analysis and Lax theorem. In the end, a series of numerical tests on stability and convergence are carried out to support our theoretical results.

      PubDate: 2017-09-08T01:06:21Z
      DOI: 10.1016/j.amc.2017.08.033
      Issue No: Vol. 316 (2017)
       
  • On convergent rate of the attractor for a singularly perturbed wave
           equation
    • Authors: Xiaoming Fan
      Pages: 370 - 380
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Xiaoming Fan
      By applying the pullback property of attractor, the paper obtains the continuity and the convergent rate p = 1 2 of the attractor for a singularly perturbed wave equation without help of the hyperbolic property of stationary points.

      PubDate: 2017-09-14T01:20:45Z
      DOI: 10.1016/j.amc.2017.07.053
      Issue No: Vol. 316 (2017)
       
  • A robust numerical method for solving stagnation point flow over a
           permeable shrinking sheet under the influence of MHD
    • Authors: M.M. Bhatti; M. Ali Abbas; M.M. Rashidi
      Pages: 381 - 389
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): M.M. Bhatti, M. Ali Abbas, M.M. Rashidi
      In this paper, stagnation point flow over a permeable shrinking sheet under the influence of Magnetohydrodynamics (MHD) is analyzed using Successive linearization method. The governing equations are simplified with the help of similarity variables. The resulting nonlinear coupled differential equations have been solved with a combination of Successive linearization method and Chebyshev spectral collocation method. The impact of various pertinent parameters are demonstrated numerically and graphically. Comparison has also been made with the existing literature and found that the present results are in good agreement. It is also found that the present methodology converges more rapidly.

      PubDate: 2017-09-14T01:20:45Z
      DOI: 10.1016/j.amc.2017.08.032
      Issue No: Vol. 316 (2017)
       
  • Strategy optimization for static games based on STP method
    • Authors: Liqing Wang; Yang Liu; Zhengguang Wu; Fuad E. Alsaadi
      Pages: 390 - 399
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Liqing Wang, Yang Liu, Zhengguang Wu, Fuad E. Alsaadi
      In this paper, we consider the choice behavior of players in a static game and discuss solutions to static games of complete information problem via semi-tensor product (STP) method. Some properties of the dominant behaviors are obtained, based on which, choosing the dominant strategies deleting the dominated strategies are used to optimize the strategy sets so as to obtain solutions to the considered game. Examples are given to show the effectiveness of the results.

      PubDate: 2017-09-14T01:20:45Z
      DOI: 10.1016/j.amc.2017.08.023
      Issue No: Vol. 316 (2017)
       
  • The Kantorovich variant of an operator defined by D. D. Stancu
    • Authors: Arun Kajla
      Pages: 400 - 408
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Arun Kajla
      In this note we introduce Kantorovich variant of the operators considered by Stancu (1998) based on two nonnegative parameters. Here, we prove an approximation theorem with the help of Bohman–Korovkin’s principle and find the estimate of the rate of convergence by means of modulus of smoothness and Lipschitz type function for these operators. In the last section of the paper, we show the convergence of the operators by illustrative graphics in Mathematica to certain functions.

      PubDate: 2017-09-14T01:20:45Z
      DOI: 10.1016/j.amc.2017.08.021
      Issue No: Vol. 316 (2017)
       
  • Applications of Quintic Hermite collocation with time discretization to
           singularly perturbed problems
    • Authors: Shelly Arora; Inderpreet Kaur
      Pages: 409 - 421
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Shelly Arora, Inderpreet Kaur
      Singular perturbation problems have been discussed using collocation technique with quintic Hermite interpolating polynomials as base functions. These polynomials have the property to interpolate the function as well as its tangent at node points. To discretize the problem in temporal direction forward difference operator has been applied. The given technique is a combination of collocation and difference scheme. Parameter uniform convergence has been studied using the method given by Farrell and Hegarty (1991). Rate of convergence of quintic Hermite difference scheme has been found to depend upon node points. Applicability and computational effect of the scheme has been examined through numerical examples. Results have been presented graphically through surface plots as well as in tabular form.

      PubDate: 2017-09-14T01:20:45Z
      DOI: 10.1016/j.amc.2017.08.040
      Issue No: Vol. 316 (2017)
       
  • Limit cycles of a class of Liénard systems with restoring forces of
           seventh degree
    • Authors: Junmin Yang; Wei Ding
      Pages: 422 - 437
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Junmin Yang, Wei Ding
      The study of limit cycles for Liénard system is very important not only in theoretical studies but also in applications. In this paper, we study the number of limit cycles for a class of Liénard systems with restoring forces of seventh degree. Let H(n, m) denote the maximum number of limit cycles bifurcated from the generalized Liénard system x ˙ = y , y ˙ = − g ( x ) − f ( x ) y , where f(x) and g(x) are polynomials in x and deg f = n , det g = m . We greatly improve the existing results of H(n, m) for m = 7 , n = 4 and m = 7 , n = 2 n ¯ with 4 ≤ n ¯ ≤ 20 .

      PubDate: 2017-09-14T01:20:45Z
      DOI: 10.1016/j.amc.2017.08.008
      Issue No: Vol. 316 (2017)
       
  • A lower bound of revised Szeged index of bicyclic graphs
    • Authors: Shengjin Ji; Mengmeng Liu; Jianliang Wu
      Pages: 480 - 487
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Shengjin Ji, Mengmeng Liu, Jianliang Wu
      The revised Szeged index of a graph is defined as S z * ( G ) = ∑ e = u v ∈ E ( n u ( e ) + n 0 ( e ) 2 ) ( n v ( e ) + n 0 ( e ) 2 ) , where nu (e) and nv (e) are, respectively, the number of vertices of G lying closer to vertex u than to vertex v and the number of vertices of G lying closer to vertex v than to vertex u, and n 0(e) is the number of vertices equidistant to u and v. In the paper, we identify the lower bound of revised Szeged index among all bicyclic graphs, and also characterize the extremal graphs that attain the lower bound.

      PubDate: 2017-09-14T01:20:45Z
      DOI: 10.1016/j.amc.2017.08.051
      Issue No: Vol. 316 (2017)
       
  • A non-Newtonian liquid sphere embedded in a polar fluid saturated porous
           medium: Stokes flow
    • Authors: Bharat Raj Jaiswal
      Pages: 488 - 503
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Bharat Raj Jaiswal
      The selection of interface boundary conditions between porous-medium and clear-fluid regions is vital for the extensive range of applications in engineering. As such, present paper reports an analytically investigating Stokes flow over Reiner–Rivlin liquid sphere embedded in a porous medium filled with micropolar fluid using Brinkman’s model and assuming uniform flow away from the obstacle. The stream function solution of Brinkman equation is obtained for the flow in porous region, while for the inner flow field the solution is obtained by expanding the stream function in a power series of S. The flow fields are determined explicitly by matching the boundary conditions at the interface of porous region and the liquid sphere. Relevant quantities such as velocity and pressure on the surface of the liquid sphere are determined and exhibited graphically. The mathematical expression of separation parameter SEP is also calculated which shows that no flow separation occurs for the considered flow configuration and also validated by its pictorial presentation. The drag coefficient experienced by a liquid sphere embedded in a porous medium is evaluated. The useful features of the Stokes flow for numerous values of parameters are analyzed and discussed. The dependence of the drag force and stream line pattern on permeability parameter(η 2), viscosity ratio(λ), micropolar parameter(m), coupling number(N), and dimensionless parameter S is presented graphically and discussed. The analysis also aims at the explanation of velocity overshoot behavior. Some previous noted results are then also obtained from the ongoing analysis.

      PubDate: 2017-09-14T01:20:45Z
      DOI: 10.1016/j.amc.2017.08.009
      Issue No: Vol. 316 (2017)
       
  • A fractional epidemiological model for computer viruses pertaining to a
           new fractional derivative
    • Authors: Jagdev Singh; Devendra Kumar; Zakia Hammouch; Abdon Atangana
      Pages: 504 - 515
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Jagdev Singh, Devendra Kumar, Zakia Hammouch, Abdon Atangana
      In the computer security and for any defensive strategy, computer viruses are very significant aspect. To understand their expansion and extension is very important component. In order to deal with this issue, we consider a fractional epidemiological model. In this article, we analyze moderate epidemiological model to describe computer viruses with an arbitrary order derivative having non-singular kernel. We obtain the solution of the problem by using an iterative method. By using the fixed-point theorem the existence of the solution is discussed. The uniqueness of the solution is verified. We perform some numerical simulations and show graphically to observe the impact of the arbitrary order derivative.

      PubDate: 2017-09-14T01:20:45Z
      DOI: 10.1016/j.amc.2017.08.048
      Issue No: Vol. 316 (2017)
       
  • Accretive Darboux growth along a space curve
    • Authors: Gül Tuğ; Zehra Özdemir; İsmail Gök; F. Nejat Ekmekci
      Pages: 516 - 524
      Abstract: Publication date: 1 January 2018
      Source:Applied Mathematics and Computation, Volume 316
      Author(s): Gül Tuğ, Zehra Özdemir, İsmail Gök, F. Nejat Ekmekci
      In this article, we give a mathematical framework to model the kinematics of the surface growth of objects such as some crustacean creatures. For this, a growth velocity in the direction of the Darboux vector field is defined at each point on a spatial generating curve. A local orthonormal frame (alternative moving frame) is added to each point of the generating curve and a velocity is given in terms of local coordinate directions to obtain a system of differential equations. Using the analytical solutions of this system, various surface examples, including some seashells are provided and the shapes of these surfaces are illustrated.

      PubDate: 2017-09-14T01:20:45Z
      DOI: 10.1016/j.amc.2017.08.038
      Issue No: Vol. 316 (2017)
       
  • The compound Poisson risk model under a mixed dividend strategy
    • Authors: Zhimin Zhang; Xiao Han
      Pages: 1 - 12
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Zhimin Zhang, Xiao Han
      In this paper, we consider a compound Poisson model under a mixed dividend strategy. The mixed dividend strategy is a combination of threshold dividend strategy and periodic dividend strategy. Given a positive threshold level b > 0, whenever the surplus process attains the level b, dividends will be paid off continuously at a rate α > 0. Furthermore, given a sequence of dividend decision times { Z j } j = 1 ∞ , whenever the observed surplus level at Zj is larger than b, the excess value will also be paid off as dividend. We study the expected discounted dividend payments before ruin and the Gerber–Shiu expected discounted penalty function. Some numerical examples are also presented.

      PubDate: 2017-08-03T09:30:26Z
      DOI: 10.1016/j.amc.2017.07.048
      Issue No: Vol. 315 (2017)
       
  • A posteriori error estimates of finite element method for the
           time-dependent Navier–Stokes equations
    • Authors: Tong Zhang; ShiShun Li
      Pages: 13 - 26
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Tong Zhang, ShiShun Li
      In this paper, we consider the posteriori error estimates of Galerkin finite element method for the unsteady Navier–Stokes equations. By constructing the approximate Navier–Stokes reconstructions, the errors of velocity and pressure are split into two parts. For the estimates of time part, the energy method and other skills are used, for the estimates of spatial part, the well-developed theoretical analysis of posteriori error estimates for the elliptic problem can be adopted. More important, the error estimates of time part can be controlled by the estimates of spatial part. As a consequence, the posteriori error estimates in L ∞(0, T; L 2(Ω)), L ∞(0, T; H 1(Ω)) and L 2(0, T; L 2(Ω)) norms for velocity and pressure are derived in both spatial discrete and time-space fully discrete schemes.

      PubDate: 2017-08-03T09:30:26Z
      DOI: 10.1016/j.amc.2017.07.005
      Issue No: Vol. 315 (2017)
       
  • Centralizer’s applications to the inverse along an element
    • Authors: Huihui Zhu; Jianlong Chen; Pedro Patrício; Xavier Mary
      Pages: 27 - 33
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Huihui Zhu, Jianlong Chen, Pedro Patrício, Xavier Mary
      In this paper, we firstly prove that the absorption law for one-sided inverses along an element holds, and derive the absorption law for the inverse along an element. We then obtain the absorption law for the inverse along different elements. Also, we prove that a left inverse of a along d coincides with a right inverse of a along d, provided that they both exist. Then, the reverse order law and the existence criterion for the inverse along an element are given by centralizers in a ring. Finally, we characterize the Moore–Penrose inverse of a regular element by one-sided invertibilities in a ring with involution.

      PubDate: 2017-08-03T09:30:26Z
      DOI: 10.1016/j.amc.2017.07.046
      Issue No: Vol. 315 (2017)
       
  • Sampled-data synchronization of chaotic Lur’e systems via
           input-delay-dependent-free-matrix zero equality approach
    • Authors: Deqiang Zeng; Ruimei Zhang; Yajuan Liu; Shouming Zhong
      Pages: 34 - 46
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Deqiang Zeng, Ruimei Zhang, Yajuan Liu, Shouming Zhong
      This paper focuses on the sampled-data synchronization problem of chaotic Lur’e systems (CLSs) by using sampled output of the systems with variable sampling rates. One novel approach, input-delay-dependent-free-matrix zero equality (IDDFMZE) approach, is proposed for the first time. The IDDFMZE approach can not only fully capture the available information on the actual sampling pattern, but deploy more system information at the dynamic partitioning point. A new Lyapunov–Krasovskii functional (LKF) with some new terms is constructed, which can use more information of the activation function at the dynamic partitioning point. Based on the presented IDDFMZE approach and the constructed LKF, developed synchronization criterion is obtained in the form of linear matrix inequalities (LMIs). The desired sampled-data controller is designed under larger sampling period. Finally, the superiority of proposed results is shown by two numerical examples.

      PubDate: 2017-08-03T09:30:26Z
      DOI: 10.1016/j.amc.2017.07.039
      Issue No: Vol. 315 (2017)
       
  • Environment promotes the evolution of cooperation in spatial voluntary
           prisoner's dilemma game
    • Authors: Hao Guo; Chen Shen; Dameng Dai; Mi Zhang; Chen Chu; Lei Shi
      Pages: 47 - 53
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Hao Guo, Chen Shen, Dameng Dai, Mi Zhang, Chen Chu, Lei Shi
      In reality fitness can be affected by the environment. We explore the evolution of cooperation with the influence of environment on prisoners’ dilemma game with voluntary participation. An individual's fitness is redefined to involve one's own payoff and the average performance of neighbors via preference level u. When u equals zero, the game falls back to its traditional form in which the fitness of an individual simply reflects one's own benefit. When u is larger than 0, the environment plays a role. Numerical simulations show that, for small b, increasing u enables the frequency of cooperation to increase monotonously and even dominate the whole population. For large b, although cooperators are exploited by defectors, the existence of loners protects them from getting wiped out. Finally three strategies start to exhibit cyclic dominance.

      PubDate: 2017-08-03T09:30:26Z
      DOI: 10.1016/j.amc.2017.07.044
      Issue No: Vol. 315 (2017)
       
  • Interpolating element-free Galerkin method for the regularized long wave
           equation and its error analysis
    • Authors: FengXin Sun; JuFeng Wang
      Pages: 54 - 69
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): FengXin Sun, JuFeng Wang
      Combining the simplified interpolating moving least-squares (IMLS) method with the Galerkin weak form, an interpolating element-free Galerkin (IEFG) method is presented for the numerical study of the regularized long wave (RLW) equation. The trial function in the IMLS method has one less unknown coefficient than in the traditional MLS approximation, and the shape functions satisfy the interpolating property at nodes. Then the IEFG method can apply the essential boundary conditions naturally and directly, and has high computational accuracy. And then this paper studies the error estimates of the IEFG method for RLW equation. The error estimate of the semi-discrete IEFG method for the RLW equation on the influence domain radius is first studied, and then the convergence rate of the full discrete scheme of the method on the influence domain radius and time step is studied. The theoretical results show that the IEFG method for RLW equation has good convergence rate. For the purpose of demonstration, three selected numerical examples are given to demonstrate the method and the mathematical theory of this paper.

      PubDate: 2017-08-03T09:30:26Z
      DOI: 10.1016/j.amc.2017.07.052
      Issue No: Vol. 315 (2017)
       
  • NURBS curves with the application of multiple bones fracture
           reconstruction
    • Authors: Abdul Majeed; Abd Rahni Mt Piah; Muhammad Rafique; Johari Yap Abdullah; Zainul Ahmad Rajion
      Pages: 70 - 84
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Abdul Majeed, Abd Rahni Mt Piah, Muhammad Rafique, Johari Yap Abdullah, Zainul Ahmad Rajion
      The challenging task of treating trauma to cranio-maxillofacial requires advanced radiological imaging and high clinical skills. The reconstruction of facial fractures focuses on the rehabilitation of patients functionally as well as in aesthetics. In this article we used NURBS curves to construct the multiple bones fracture using CT scan data in Digital Imaging and Communications in Medicine (DICOM) format. The reconstruction process of multiple bones fracture start with the boundary extraction followed by corner detection, optimization of knots, weights, construction of fractured part inner outer curve for each CT scan slice using NURBS curves and finally the construction of fractured part in DICOM format. The construction process using proposed method is based on DICOM data only that does not require any technique such as technical help, mirror imaging, to take average thickness of skull bone or reference skull, etc. The constructed fractured implant is custom made for each patient. We present a real case in which multiple bones fracture has been constructed using NURBS curves. The proposed method has also been validated quantitatively and qualitatively using self supposed fractured data.

      PubDate: 2017-08-03T09:30:26Z
      DOI: 10.1016/j.amc.2017.05.061
      Issue No: Vol. 315 (2017)
       
  • Exponential stability of the split-step θ-method for neutral stochastic
           delay differential equations with jumps
    • Authors: Haoyi Mo; Feiqi Deng; Chaolong Zhang
      Pages: 85 - 95
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Haoyi Mo, Feiqi Deng, Chaolong Zhang
      The exponential mean-square stability of the split-step θ-method for neutral stochastic delay differential equations (NSDDEs) with jumps is considered. New conditions for jumps are proposed to ensure the exponential mean-square stability of the trivial solution. If the drift coefficient satisfies the linear growth condition, it is shown that the split-step θ-method can reproduce the exponential mean-square stability of the trivial solution for the constrained stepsize. Then by applying the Chebyshev inequality and the Borel–Cantelli lemma, the almost sure exponential stability of both the trivial solution and the numerical solution can be obtained. Since split-step θ-method covers Euler–Maruyama (EM) method and split-step backward Euler (SSBE) method, the conclusions are valid for these two methods. Moreover, they can adapt to the NSDDEs and the SDDEs with jumps. Finally, a numerical example illustrates the effectiveness of the theoretical results.

      PubDate: 2017-08-03T09:30:26Z
      DOI: 10.1016/j.amc.2017.06.034
      Issue No: Vol. 315 (2017)
       
  • Convergence of strong time-consistent payment schemes in dynamic
           games
    • Authors: Leon Petrosyan; Artem Sedakov; Hao Sun; Genjiu Xu
      Pages: 96 - 112
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Leon Petrosyan, Artem Sedakov, Hao Sun, Genjiu Xu
      The problem of consistency of a solution over time remains an important issue in cooperative dynamic games. Payoffs to players prescribed by an inconsistent solution may not be achievable since such a solution is extremely sensitive to its revision in the course of a game developing along an agreed upon cooperative behavior. The paper proposes a strong time-consistent payment scheme which is stable to a revision of cooperative set solutions, e.g., the core. Using a linear transformation of the solution, it becomes possible to obtain non-negative payments to players. In the paper, we also deal with a limit linear transformation of the solution whose convergence is proved. Developing a non-negative strong time-consistent payment scheme in a closed form, we guarantee that the solution supported by the scheme will not be revised over time.

      PubDate: 2017-08-03T09:30:26Z
      DOI: 10.1016/j.amc.2017.07.030
      Issue No: Vol. 315 (2017)
       
  • High order well-balanced central local discontinuous Galerkin-finite
           element methods for solving the Green–Naghdi model
    • Authors: Maojun Li; Yuting Jiang; Haiyun Dong
      Pages: 113 - 130
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Maojun Li, Yuting Jiang, Haiyun Dong
      In this paper, a hybrid numerical method, combining the central local discontinuous Galerkin method with continuous finite element method, is proposed to solve the fully nonlinear weakly dispersive Green–Naghdi model describing a large spectrum of shallow water waves. In our numerical approach, the Green–Naghdi model is first rewritten as balance laws coupled with an elliptic equation in terms of new variables adapted for numerical studies. Then we discretize the balance laws with well-balanced central local discontinuous Galerkin methods and the elliptic part with continuous finite element methods. Numerical tests are presented to illustrate the performance of the proposed schemes.

      PubDate: 2017-08-03T09:30:26Z
      DOI: 10.1016/j.amc.2017.07.050
      Issue No: Vol. 315 (2017)
       
  • An interval for the shape parameter in radial basis function approximation
    • Authors: Jafar Biazar; Mohammad Hosami
      Pages: 131 - 149
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Jafar Biazar, Mohammad Hosami
      The radial basis functions (RBFs) depend on an auxiliary parameter, called the shape parameter. Great theoretical and numerical efforts have been made to find the relationship between the accuracy of the RBF-approximations and the value of the shape parameter. In many cases, the numerical approaches are based on minimization of an estimation of the error function, such as Rippa's approach and its modifications. These approaches determine a value for the shape parameter. In this paper, we propose a practical approach to determine an interval, instead of a value, without any minimization and estimation of error function. The idea is based on adding a loop on the shape parameter, but not to minimize an error norm. Suitable values of the shape parameter are determined by take into account the practical convergence behavior of the problem. The proposed method is applied to some illustrative examples, including one and two-dimensional interpolation and partial differential equations. The results of the method are compared with those of some other approaches to confirm the reliability of the method. Furthermore, numerical stability of the method of line respect to the shape parameter is considered for time-dependent PDEs. The results show that, the proposed method can be used as an independent method to find a shape parameter, and also as an alternative for investigating the validity of the values of the other methods.

      PubDate: 2017-09-02T12:43:34Z
      DOI: 10.1016/j.amc.2017.07.047
      Issue No: Vol. 315 (2017)
       
  • Exponential synchronization of a class of neural networks with
           sampled-data control
    • Authors: Chao Ge; Bingfang Wang; Xian Wei; Yajuan Liu
      Pages: 150 - 161
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Chao Ge, Bingfang Wang, Xian Wei, Yajuan Liu
      This paper investigates the problem of the master-slave synchronization for a class of neural networks with discrete and distributed delays under sampled-data control. By introducing some new terms, a novel piecewise time-dependent Lyapunov-Krasovskii functional (LKF) is constructed to fully capture the available characteristics of real sampling information and nonlinear function vector of the system. Based on the LKF and Wirtinger-based inequality, less conservative synchronization criteria are obtained to guarantee the exponential stability of the error system, and then the slave system is synchronized with the master system. The designed sampled-data controller can be obtained by solving a set of linear matrix inequalities (LMIs), which depend on the maximum sampling period and the decay rate. The criteria are less conservative than the ones obtained in the existing works. A numerical example is presented to illustrate the effectiveness and merits of the proposed method.

      PubDate: 2017-09-14T01:20:45Z
      DOI: 10.1016/j.amc.2017.07.045
      Issue No: Vol. 315 (2017)
       
  • LMI approaches to input and output quantized feedback stabilization of
           linear systems
    • Authors: Xiao-Heng Chang; Zhi-Min Li; Jun Xiong; Yi-Ming Wang
      Pages: 162 - 175
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Xiao-Heng Chang, Zhi-Min Li, Jun Xiong, Yi-Ming Wang
      This paper investigates the problem of quantized feedback stabilization for linear systems. In the controlled systems, the measurement output and control input signals are transmitted via the digital communication link, and the quantization errors are treated as sector bound uncertainties. Two different approaches to designing output feedback are developed and the corresponding design conditions in terms of solutions to linear matrix inequalities (LMIs) are presented. The resulting design is such that the homologous closed-loop system is asymptotically stable with respect to the quantization effects. Finally, we illustrate the efficiency of our main results by a numerical example.

      PubDate: 2017-09-02T12:43:34Z
      DOI: 10.1016/j.amc.2017.07.038
      Issue No: Vol. 315 (2017)
       
  • Convergence of numerical solutions to stochastic differential equations
           with Markovian switching
    • Authors: Zhencheng Fan
      Pages: 176 - 187
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Zhencheng Fan
      The paper develops strong approximation schemes for solutions of stochastic differential equations with Markovian switching (SDEwMSs). The convergent orders of existing strong numerical schemes all are 0.5. This paper provides a convergence theorem for the construction of strong approximations of any given order of convergence for SDEwMSs, and then constructs the order 1 scheme, the order 1.5 scheme. The paper also develops a new way to simulate the Markov chain and hence the order 1 scheme. Finally, a numerical example is provided to illustrate the theoretical results.

      PubDate: 2017-09-02T12:43:34Z
      DOI: 10.1016/j.amc.2017.07.061
      Issue No: Vol. 315 (2017)
       
  • Evaluation of cloud service industry with dynamic and network DEA models
    • Authors: Han-Ying Kao; Dong-Jyun Wu; Chia-Hui Huang
      Pages: 188 - 202
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Han-Ying Kao, Dong-Jyun Wu, Chia-Hui Huang
      Recently, cloud services and computing have revolutionized both academic research and industrial practices. Numerous hardware and software providers have joined the intensely competitive cloud services market. At the same time, a corresponding focus on evaluation of the industry is growing apace. Investigations are currently under way into how to incorporate the dynamic and intermediate processes in cloud service companies' business models. This paper intends to develop some alternative models of network data envelopment analysis (NDEA) for evaluating cloud service businesses. By considering various internal functions and processes of the services in multi-period settings, we design three evaluation models: (1) dynamic black-box data envelopment analysis (DBDEA); (2) static network data envelopment analysis (SNDEA); and (3) dynamic network data envelopment analysis (DNDEA). Using multi-objective programming (MOP) techniques, the three NDEA models are formulated and solved for the cloud service industry. An empirical study is conducted to evaluate the performance of the cloud service industry.

      PubDate: 2017-09-02T12:43:34Z
      DOI: 10.1016/j.amc.2017.07.059
      Issue No: Vol. 315 (2017)
       
  • Influences of autapse and channel blockage on multiple coherence resonance
           in a single neuron
    • Authors: Rukiye Uzun
      Pages: 203 - 210
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Rukiye Uzun
      We study how the spiking regularity of a single stochastic Hodgkin–Huxley neuron is effected in the presence of ion channel blocking and autaptic connection. In this study, we consider a chemical autapse expressed by its coupling strength and delay time. It is found that the neuron exhibits multiple coherence resonance (MCR) behavior induced by autaptic time delay at an appropriate level of ion channel blocking and autaptic coupling strength. This MCR behavior increases with the decrement of working potassium ion channels, whereas it decreases or completely disappears with the increment of a fraction of sodium ion channels blocking, regardless of autaptic coupling strength. Furthermore, this behavior is more explicit at intermediate autaptic coupling strength regardless of the ion channel blocking type. We briefly discuss the obtained results with the underlying reasons in terms of ion channel blocking type and autapse parameters. We also showed that ion channel noise, thus membrane patch size, should be at an optimal level to obtain MCR behavior otherwise, this behavior would be destroyed. The obtained results also showed that autaptic time delay is more operative on regularity than its coupling strength regardless of ion channel blocking. Considering the importance of spiking regularity on neuronal information processing, our results may help to understand the intersection of ion channel blocking and autaptic connections of a single neuron.

      PubDate: 2017-09-14T01:20:45Z
      DOI: 10.1016/j.amc.2017.07.055
      Issue No: Vol. 315 (2017)
       
  • Spectrally accurate Nyström-solver error bounds for 1-D Fredholm integral
           equations of the second kind
    • Authors: Abigail I. Fairbairn; Mark A. Kelmanson
      Pages: 211 - 223
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Abigail I. Fairbairn, Mark A. Kelmanson
      We present the theory underlying and computational implementation of analytical predictions of error bounds for the approximate solution of one-dimensional Fredholm integral equations of the second kind. Through asymptotic estimates of near-supremal operator norms, readily implementable formulae for the error bounds are computed explicitly using only the numerical solution of Nyström-based methods on distributions of nodes at the roots or extrema of diverse orthogonal polynomials. Despite the predicted bounds demanding no a priori information about the exact solution, they are validated to be spectrally accurate upon comparison with the explicit computational error accruing from the numerical solution of a variety of test problems, some chosen to be challenging to approximation methods, with known solutions. Potential limitations of the theory are discussed, but these are shown not to arise in the numerical computations.

      PubDate: 2017-09-14T01:20:45Z
      DOI: 10.1016/j.amc.2017.07.034
      Issue No: Vol. 315 (2017)
       
  • Higher-order derivative-free families of Chebyshev–Halley type methods
           with or without memory for solving nonlinear equations
    • Authors: Ioannis K. Argyros; Munish Kansal; Vinay Kanwar; Sugandha Bajaj
      Pages: 224 - 245
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Ioannis K. Argyros, Munish Kansal, Vinay Kanwar, Sugandha Bajaj
      In this paper, we present two new derivative-free families of Chebyshev–Halley type methods for solving nonlinear equations numerically. Both families require only three and four functional evaluations to achieve optimal fourth and eighth orders of convergence. Furthermore, accelerations of convergence speed are attained by suitable variation of a free parameter in each iterative step. The self-accelerating parameter is estimated from the current and previous iteration. This self-accelerating parameter is calculated using Newton’s interpolation polynomial of third and fourth degrees. Consequently, the R-orders of convergence are increased from 4 to 6 and 8 to 12, respectively, without any additional functional evaluation. The results require high-order derivatives reaching up to the eighth derivative. That is why we also present an alternative approach using only the first or at most the fourth derivative. We also obtain the radius of convergence and computable error bounds on the distances involved. Numerical experiments and the comparison of the existing robust methods are included to confirm the theoretical results and high computational efficiency. In particular, we consider a concrete variety of real life problems coming from different disciplines e.g., Kepler’s equation of motion, Planck’s radiation law problem, fractional conversion in a chemical reactor, the trajectory of an electron in the air gap between two parallel plates, Van der Waal’s equation which explains the behavior of a real gas by introducing in the ideal gas equations, in order to check the applicability and effectiveness of our proposed methods.

      PubDate: 2017-09-14T01:20:45Z
      DOI: 10.1016/j.amc.2017.07.051
      Issue No: Vol. 315 (2017)
       
  • Matrix methods for the simplicial Bernstein representation and for the
           evaluation of multivariate polynomials
    • Authors: Jihad Titi; Jürgen Garloff
      Pages: 246 - 258
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Jihad Titi, Jürgen Garloff
      In this paper, multivariate polynomials in the Bernstein basis over a simplex (simplicial Bernstein representation) are considered. Two matrix methods for the computation of the polynomial coefficients with respect to the Bernstein basis, the so-called Bernstein coefficients, are presented. Also matrix methods for the calculation of the Bernstein coefficients over subsimplices generated by subdivision of the standard simplex are proposed and compared with the use of the de Casteljau algorithm. The evaluation of a multivariate polynomial in the power and in the Bernstein basis is considered as well. All the methods solely use matrix operations such as multiplication, transposition, and reshaping; some of them rely also on the bidiagonal factorization of the lower triangular Pascal matrix or the factorization of this matrix by a Toeplitz matrix. The latter one enables the use of the Fast Fourier Transform hereby reducing the amount of arithmetic operations.

      PubDate: 2017-09-14T01:20:45Z
      DOI: 10.1016/j.amc.2017.07.026
      Issue No: Vol. 315 (2017)
       
  • A multipoint flux mixed finite element method for the compressible
           Darcy–Forchheimer models
    • Authors: Wenwen Xu; Dong Liang; Hongxing Rui
      Pages: 259 - 277
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Wenwen Xu, Dong Liang, Hongxing Rui
      We develop a multipoint flux mixed finite element method for the compressible Darcy–Forchheimer models. This method is motivated by the multipoint flux approximation method. Based on the lowest order Brezzi–Douglas–Marini mixed finite element method and combined with a special quadrature rule that allows for local velocity elimination and leads to a cell-centered system for the pressures. We develop two approximation methods for the problems, the semi-discrete method and fully discrete method, where the fully discrete method includes the backward Euler scheme and the Crank–Nicolson scheme. Theoretical results show the convergences for both pressure and velocity. The numerical experiments show that the convergence rates of the method are in agreement with the theoretical analysis.

      PubDate: 2017-09-02T12:43:34Z
      DOI: 10.1016/j.amc.2017.07.049
      Issue No: Vol. 315 (2017)
       
  • Average distance is submultiplicative and subadditive with respect to the
           strong product of graphs
    • Authors: Marcin Jurkiewicz
      Pages: 278 - 285
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Marcin Jurkiewicz
      We show that the average distance is submultiplicative and subadditive on the set of non-trivial connected graphs with respect to the strong product. We also give an application of the above-mentioned result.

      PubDate: 2017-09-02T12:43:34Z
      DOI: 10.1016/j.amc.2017.06.025
      Issue No: Vol. 315 (2017)
       
  • On the maximum ABC index of graphs without pendent vertices
    • Authors: Zehui Shao; Pu Wu; Yingying Gao; Ivan Gutman; Xiujun Zhang
      Pages: 298 - 312
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Zehui Shao, Pu Wu, Yingying Gao, Ivan Gutman, Xiujun Zhang
      Let G be a simple graph. The atom–bond connectivity index (ABC) of G is defined as A B C ( G ) = ∑ u v ∈ E ( G ) d ( u ) + d ( v ) − 2 d ( u ) d ( v ) , where d(v) denotes the degree of vertex v of G. We characterize the graphs with n vertices, minimum vertex degree  ≥ 2, and m edges for m = 2 n − 4 and m = 2 n − 3 , that have maximum ABC index.

      PubDate: 2017-09-02T12:43:34Z
      DOI: 10.1016/j.amc.2017.07.075
      Issue No: Vol. 315 (2017)
       
  • On the minimum Kirchhoff index of graphs with a given vertex k-partiteness
           and edge k-partiteness
    • Authors: Weihua He; Hao Li; Shuofa Xiao
      Pages: 313 - 318
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Weihua He, Hao Li, Shuofa Xiao
      The Kirchhoff index of a connected graph is the sum of the resistance distance between all unordered pairs of vertices and may also be expressed by its Laplacian eigenvalues. The vertex (resp. edge) k-partiteness of a graph G with n vertices is the minimum number of vertices (resp. edges) whose deletion from G yields a k-partite graph. In this paper, we determine the minimum Kirchhoff index of graphs with a given vertex k-partiteness and the minimum Kirchhoff index of graphs with a given edge bipartiteness, when the given edge bipartiteness is no more than n 4 .

      PubDate: 2017-09-02T12:43:34Z
      DOI: 10.1016/j.amc.2017.07.067
      Issue No: Vol. 315 (2017)
       
  • Distributional study of finite-time ruin related problems for the
           classical risk model
    • Authors: Shuanming Li; Yi Lu
      Pages: 319 - 330
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Shuanming Li, Yi Lu
      In this paper, we study some finite-time ruin related problems for the classical risk model. We demonstrate that some techniques recently developed in [37] and [6] can be used to study the joint distribution of the time of ruin and the maximum surplus prior to ruin, the joint distribution of the time of ruin and the maximum severity of ruin, and the distribution of the two-sided first exit time. Especially, by solving a Seal’s type partial integro-differential equation we obtain an explicit (integral) expression for the finite-time Gerber–Shiu function, which is expressed in terms of the (infinite time) Gerber–Shiu function introduced in [12].

      PubDate: 2017-09-02T12:43:34Z
      DOI: 10.1016/j.amc.2017.07.054
      Issue No: Vol. 315 (2017)
       
  • Nonlinear stability of traveling wavefronts for competitive-cooperative
           Lotka–Volterra systems of three species
    • Authors: Zhaohai Ma; Xin Wu; Rong Yuan
      Pages: 331 - 346
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Zhaohai Ma, Xin Wu, Rong Yuan
      This paper is concerned with nonlinear stability of traveling wavefronts for competitive-cooperative Lotka–Volterra systems of three species. It is proved that all traveling wavefronts with speed c > c* are exponentially stable in L ∞ space by the weighted energy method and comparison principle. Moreover, the time decay rates are obtained by weighted energy estimates.

      PubDate: 2017-09-02T12:43:34Z
      DOI: 10.1016/j.amc.2017.07.068
      Issue No: Vol. 315 (2017)
       
  • New cubature formulas and Hermite–Hadamard type inequalities using
           integrals over some hyperplanes in the d-dimensional hyper-rectangle
    • Authors: Mostafa Bachar; Allal Guessab; Osama Mohammed; Yassine Zaim
      Pages: 347 - 362
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Mostafa Bachar, Allal Guessab, Osama Mohammed, Yassine Zaim
      This paper focuses on the problem of approximating a definite integral of a given function f when, rather than its values at some points, a number of integrals of f over certain hyperplane sections of a d-dimensional hyper-rectangle Cd are only available. We develop several families of integration formulas, all of which are a weighted sum of integrals over some hyperplane sections of Cd , and which contain in a special case of our result multivariate analogs of the midpoint rule, the trapezoidal rule and Simpson’s rule. Basic properties of these families are derived. In particular, we show that they satisfy a multivariate version of Hermite–Hadamard inequality. This latter does not require the classical convexity assumption, but it has weakened by a different kind of generalized convexity. As an immediate consequence of this inequality, we derive sharp and explicit error estimates for twice continuously differentiable functions. More precisely, we present explicit expressions of the best constants, which appear in the error estimates for the new multivariate versions of trapezoidal, midpoint, and Hammer’s quadrature formulas. It is shown that, as in the univariate case, the constant of the error in the trapezoidal cubature formula is twice as large as that for the midpoint cubature formula, and the constant in the latter is also twice as large as for the new multivariate version of Hammer’s quadrature formula. Numerical examples are given comparing these cubature formulas among themselves and with uniform and non-uniform centroidal Voronoi cubatures of the standard form, which use the values of the integrand at certain points.

      PubDate: 2017-09-02T12:43:34Z
      DOI: 10.1016/j.amc.2017.07.083
      Issue No: Vol. 315 (2017)
       
  • Extension of some particular interpolation operators to a triangle with
           one curved side
    • Authors: Teodora
      Abstract: Publication date: 15 December 2017
      Source:Applied Mathematics and Computation, Volume 315
      Author(s): Teodora Cătinaş
      We extend some Nielson and Marshall type interpolation operators to the case of a triangle with one curved side. We study the interpolation properties of the obtained operators and of their product and Boolean sum operators, the orders of accuracy and the remainders of the corresponding interpolation formulas. Finally, we give some numerical examples.

      PubDate: 2017-09-02T12:43:34Z
       
 
 
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