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  Subjects -> COMPUTER SCIENCE (Total: 1969 journals)
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COMPUTER SCIENCE (1147 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: 11)
Abakós     Open Access   (Followers: 3)
Academy of Information and Management Sciences Journal     Full-text available via subscription   (Followers: 67)
ACM Computing Surveys     Hybrid Journal   (Followers: 23)
ACM Journal on Computing and Cultural Heritage     Hybrid Journal   (Followers: 8)
ACM Journal on Emerging Technologies in Computing Systems     Hybrid Journal   (Followers: 13)
ACM Transactions on Accessible Computing (TACCESS)     Hybrid Journal   (Followers: 4)
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: 12)
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: 19)
ACM Transactions on Intelligent Systems and Technology (TIST)     Hybrid Journal   (Followers: 9)
ACM Transactions on Interactive Intelligent Systems (TiiS)     Hybrid Journal   (Followers: 4)
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: 10)
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: 10)
Advanced Engineering Materials     Hybrid Journal   (Followers: 25)
Advanced Science Letters     Full-text available via subscription   (Followers: 5)
Advances in Adaptive Data Analysis     Hybrid Journal   (Followers: 8)
Advances in Artificial Intelligence     Open Access   (Followers: 14)
Advances in Artificial Neural Systems     Open Access   (Followers: 4)
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: 3)
Advances in Data Analysis and Classification     Hybrid Journal   (Followers: 52)
Advances in Engineering Software     Hybrid Journal   (Followers: 25)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 9)
Advances in Human Factors/Ergonomics     Full-text available via subscription   (Followers: 23)
Advances in Human-Computer Interaction     Open Access   (Followers: 19)
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: 35)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Advances in Technology Innovation     Open Access  
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: 9)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 3)
American Journal of Computational Mathematics     Open Access   (Followers: 4)
American Journal of Information Systems     Open Access   (Followers: 6)
American Journal of Sensor Technology     Open Access   (Followers: 2)
Anais da Academia Brasileira de Ciências     Open Access   (Followers: 2)
Analog Integrated Circuits and Signal Processing     Hybrid Journal   (Followers: 5)
Analysis in Theory and Applications     Hybrid Journal  
Animation Practice, Process & Production     Hybrid Journal   (Followers: 5)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 8)
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: 13)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Clinical Informatics     Hybrid Journal   (Followers: 1)
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: 31)
Applied Medical Informatics     Open Access   (Followers: 9)
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: 4)
Archive of Numerical Software     Open Access  
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Artifact     Hybrid Journal   (Followers: 2)
Artificial Life     Hybrid Journal   (Followers: 5)
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: 8)
Automation in Construction     Hybrid Journal   (Followers: 6)
Autonomous Mental Development, IEEE Transactions on     Hybrid Journal   (Followers: 7)
Basin Research     Hybrid Journal   (Followers: 3)
Behaviour & Information Technology     Hybrid Journal   (Followers: 52)
Bioinformatics     Hybrid Journal   (Followers: 230)
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: 16)
Biomedical Engineering, IEEE Transactions on     Hybrid Journal   (Followers: 31)
Briefings in Bioinformatics     Hybrid Journal   (Followers: 45)
British Journal of Educational Technology     Hybrid Journal   (Followers: 117)
Broadcasting, IEEE Transactions on     Hybrid Journal   (Followers: 10)
c't Magazin fuer Computertechnik     Full-text available via subscription   (Followers: 1)
CALCOLO     Hybrid Journal  
Calphad     Hybrid Journal  
Canadian Journal of Electrical and Computer Engineering     Full-text available via subscription   (Followers: 12)
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)
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: 13)
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: 18)
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: 47)
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  
Computational Biology and Chemistry     Hybrid Journal   (Followers: 12)
Computational Chemistry     Open Access   (Followers: 2)
Computational Cognitive Science     Open Access   (Followers: 1)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Condensed Matter     Open Access  
Computational Ecology and Software     Open Access   (Followers: 8)
Computational Economics     Hybrid Journal   (Followers: 9)
Computational Geosciences     Hybrid Journal   (Followers: 12)
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: 27)
Computer     Full-text available via subscription   (Followers: 78)
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: 8)
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: 13)
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: 10)
Computer Science Education     Hybrid Journal   (Followers: 12)
Computer Science Journal     Open Access   (Followers: 20)
Computer Science Master Research     Open Access   (Followers: 9)
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]   [31 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0096-3003
   Published by Elsevier Homepage  [3031 journals]
  • Hopf bifurcation for a delayed predator–prey diffusion system with
           Dirichlet boundary condition
    • Authors: Zhan-Ping Ma; Hai-Feng Huo; Hong Xiang
      Pages: 1 - 18
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Zhan-Ping Ma, Hai-Feng Huo, Hong Xiang
      A delayed predator–prey diffusion system with Beddington–DeAngelis functional response under Dirichlet boundary condition is investigated. The existence and stability of the positive spatially nonhomogeneous steady-state solution are obtained via the implicit function theorem. Moreover, taking feedback time delay τ as the bifurcation parameter, Hopf bifurcation near the positive steady-state solution is proved to occur at a sequence of critical values, we can show that feedback time delay can induce nonhomogeneous periodic oscillatory patterns. The direction of Hopf bifurcation is forward when parameter m in model (1.2) is sufficiently large. Numerical simulations and numerical solutions are presented to illustrate our theoretical results.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.012
      Issue No: Vol. 311 (2017)
       
  • A note on eventually SDD matrices and eigenvalue localization
    • Authors: Qiong Liu; Zhengbo Li; Chaoqian Li
      Pages: 19 - 21
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Qiong Liu, Zhengbo Li, Chaoqian Li
      It is shown by a counterexample that an eigenvalue localization set for matrices involved with a positive integer k, as one of the main theorems provided by Cvetković et al. (2015), does not hold in general for the case that k is odd. And then a new eigenvalue localization set for matrices which is a correction of this set is given.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.011
      Issue No: Vol. 311 (2017)
       
  • Performance of small-world feedforward neural networks for the diagnosis
           of diabetes
    • Authors: Okan Erkaymaz; Mahmut Ozer; Matjaž Perc
      Pages: 22 - 28
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Okan Erkaymaz, Mahmut Ozer, Matjaž Perc
      We investigate the performance of two different small-world feedforward neural networks for the diagnosis of diabetes. We use the Pima Indians Diabetic Dataset as input. We have previously shown than the Watts–Strogatz small-world feedforward neural network delivers a better classification performance than conventional feedforward neural networks. Here, we compare this performance further with the one delivered by the Newman–Watts small-world feedforward neural network, and we show that the latter is better still. Moreover, we show that Newman–Watts small-world feedforward neural networks yield the highest output correlation as well as the best output error parameters.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.010
      Issue No: Vol. 311 (2017)
       
  • New elliptic projections and a priori error estimates of H1-Galerkin mixed
           finite element methods for optimal control problems governed by parabolic
           integro-differential equations
    • Authors: Tianliang Hou; Jiaqi Zhang; Yanzhong Li; Yueting Yang
      Pages: 29 - 46
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Tianliang Hou, Jiaqi Zhang, Yanzhong Li, Yueting Yang
      In this paper, we discuss a priori error estimates of H 1-Galerkin mixed finite element methods for optimal control problems governed by parabolic integro-differential equations. The state variables and co-state variables are approximated by the lowest order Raviart–Thomas mixed finite element and linear finite element, and the control variable is approximated by piecewise constant functions. Both semidiscrete and fully discrete schemes are considered. Based on some new elliptic projections, we derive a priori error estimates for the control variable, the state variables and the adjoint state variables. The related a priori error estimates for the new projections error are also established. A numerical example is given to demonstrate the theoretical results.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.04.036
      Issue No: Vol. 311 (2017)
       
  • Coevolving allocation of resources and cooperation in spatial evolutionary
           games
    • Authors: Chao Luo; Zhipeng Jiang
      Pages: 47 - 57
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Chao Luo, Zhipeng Jiang
      In this article, the co-evolution of resources and cooperation in spatial evolutionary games is studied. Existence of competition in nature and human society derives from the confrontation between the limit of resources and the infinity of demands. As a result, resource allocation is inseparable from various games, where resource acquisition depends on the outcome of games and the number of possessing resources would in turn affect the choice of game strategy. Here, by means of a concise and strategy-independent rule, limited resources are firstly involved into the evolution of prisoner's dilemma game (PDG) and three main results are obtained: (a) the coevolving resources in PDG can effectively promote the level of cooperation, and players with cooperative behavior are easier to possess resources; (b) in equilibrium, resources in the system approximately follow the power law distribution. A fraction of players would hold the most of resources but a considerable number of players lose almost all their property; (c) when the lowest guarantee of resources as a protective mechanism is assigned to each player, the level of cooperation can be further promoted. Moreover, an optimal value of the lowest guarantee can be found to inspire cooperative behaviors. The related microscopic system properties are studied and other social dilemmas as different kinds of representatives are also discussed.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.009
      Issue No: Vol. 311 (2017)
       
  • A phenomenological model for the aerodynamics of the knuckleball
    • Authors: Mario A. Aguirre-López; O. Díaz-Hernández; F-Javier Almaguer; Javier Morales-Castillo; Gerardo J. Escalera Santos
      Pages: 58 - 65
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Mario A. Aguirre-López, O. Díaz-Hernández, F-Javier Almaguer, Javier Morales-Castillo, Gerardo J. Escalera Santos
      The movement of a knuckleball depends on the seams of the baseball strongly, as a consequence a lift force proportional to the square of the ball velocity is occasioned. In this work we develop a model as a function of the position of the seams to compute the lift coefficient that appears in the lift force acting in upward direction, for four-seam (4S) and two-seam (2S) orientations of the ball. The result of the model is consistent with experimental data. In addition, deviations caused by lift force are calculated for all angles in the 4S and 2S orientations and some trajectories are generated.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.001
      Issue No: Vol. 311 (2017)
       
  • Stationary distribution and extinction of the DS-I-A model disease with
           periodic parameter function and Markovian switching
    • Authors: Songnan Liu; Xiaojie Xu; Daqing Jiang; Tasawar Hayat; Bashir Ahmad
      Pages: 66 - 84
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Songnan Liu, Xiaojie Xu, Daqing Jiang, Tasawar Hayat, Bashir Ahmad
      This paper introduces the DS-I-A model with periodic parameter function and Markovian switching. First, we will prove that the solution of the system is positive and global. Furthermore, we draw a conclusion that there exists nontrivial positive periodic solution for the stochastic system and we establish sufficient conditions for extinction of system. Moreover, we construct stochastic Lyapunov functions with regime switching to obtain the existence of ergodic stationary distribution of the solution to DS-I-A model perturbed by white and telephone noises and we also establish sufficient conditions for extinction of system with regime switching. Finally, we test our theory conclusion by simulations.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.04.029
      Issue No: Vol. 311 (2017)
       
  • An implicit three-dimensional fractional step method for the simulation of
           the corona phenomenon
    • Authors: Andrea Villa; Luca Barbieri; Marco Gondola; Andres R. Leon-Garzon; Roberto Malgesini
      Pages: 85 - 99
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Andrea Villa, Luca Barbieri, Marco Gondola, Andres R. Leon-Garzon, Roberto Malgesini
      The modeling of the corona effect has many technological applications especially in the power industry. The reduction of the computational burden of three dimensional simulations is a key factor in this area. Stability requirements may impose unacceptable constraints in three dimensions leading to huge computational costs. In this paper we develop an effective time-splitting method that remains stable and positive even when relatively large time steps and coarse meshes are used. We analyze the theoretical properties of the method and validate our approach against already published experimental data.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.04.037
      Issue No: Vol. 311 (2017)
       
  • Existence, uniqueness, and exponential stability analysis for
           complex-valued memristor-based BAM neural networks with time delays
    • Authors: Runan Guo; Ziye Zhang; Xiaoping Liu; Chong Lin
      Pages: 100 - 117
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Runan Guo, Ziye Zhang, Xiaoping Liu, Chong Lin
      This article explores the exponential stability problem of complex-valued bidirectional associative memory (BAM) neural networks with time delays. This analysis is on the basis of the M-matrix approach, the differential inclusions theory and the homeomorphism property. By constructing a novel Lyapunov functional, a sufficient criterion for the existence, uniqueness, and exponential stability for the equilibrium point of the considered system is derived. Moreover, similar results in terms of M-matrix are also obtained for the exponential stability problem of delayed complex-valued BAM neural networks without memristors. In the end, two numerical examples are provided to demonstrate the availability of the obtained results.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.021
      Issue No: Vol. 311 (2017)
       
  • Adaptive synchronization of memristive neural networks with time-varying
           delays and reaction–diffusion term
    • Authors: Zhengwen Tu; Nan Ding; Liangliang Li; Yuming Feng; Limin Zou; Wei Zhang
      Pages: 118 - 128
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Zhengwen Tu, Nan Ding, Liangliang Li, Yuming Feng, Limin Zou, Wei Zhang
      This paper focuses on the synchronization control methodology for a class of delayed reaction–diffusion memristor-based neural networks. Adaptive controllers are designed such that the considered model can realize asymptotical and exponential synchronization goal under the framework of inequality techniques and Lyapunov method. The results obtained in this paper consider the effect of time delays as well as the reaction–diffusion terms, which generalize and improve some existing results. The derived synchronization criteria are presented in the form of algebraic, which can be easily verified. Finally, numerical example and its simulations are given to show the correctness of the obtained results.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.005
      Issue No: Vol. 311 (2017)
       
  • Reliable state estimation of switched neutral system with nonlinear
           actuator faults via sampled-data control
    • Authors: R. Sakthivel; S.A. Karthick; B. Kaviarasan; Yongdo Lim
      Pages: 129 - 147
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): R. Sakthivel, S.A. Karthick, B. Kaviarasan, Yongdo Lim
      This paper aims to solve the reliable state estimation problem of an uncertain switched neutral system subject to nonlinear actuator faults and time-varying delay by using sampled-data approach. To be precise, the well-known Luenberger estimator is constructed to determine the immeasurable states of the addressed system and a general actuator fault model is employed to describe the nonlinearities encountering in the control design. After that, by defining an error variable, the corresponding estimation error system is formulated. By the virtue of Lyapunov–Krasovskii stability theory and average dwell-time method, a new delay-dependent sufficient criterion is established to guarantee the existence of the desired estimator and sampled-data gains and subsequently, the explicit expression of those gains is presented by means of the solution to a set of linear matrix inequalities. Moreover, two numerical examples are given to show the efficiency of the proposed estimator design schemes, where it is shown that the estimator gains can ensure the exponential stability of the considered switched neutral systems.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.006
      Issue No: Vol. 311 (2017)
       
  • Decentralized adaptive delay-dependent neural network control for a class
           of large-scale interconnected nonlinear systems
    • Authors: Changjiang Xi; Ding Zhai; Xiaojian Li; Qingling Zhang
      Pages: 148 - 163
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Changjiang Xi, Ding Zhai, Xiaojian Li, Qingling Zhang
      This paper investigates the problem of adaptive decentralized control for a class of large-scale interconnected nonlinear systems with unknown time delays, and the unmeasured states. Compared with the existing results, the delay parameters are estimated by utilizing mean value theorem and adaptive mechanism. With the help of the delay estimations, a delay-dependent state observer is designed to make the states available. Based on Lyapunov stability theorem and the backstepping technique, the novel adaptive neural network memory output-feedback controllers are developed. It is proved that the proposed control scheme can guarantee that all the signals in the closed-loop system are bounded and the tracking error converges to the adjustable neighborhood of the origin. The effectiveness of the proposed control scheme is illustrated by the simulation results.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.026
      Issue No: Vol. 311 (2017)
       
  • Stability analysis of linear systems with interval time-varying delays
           utilizing multiple integral inequalities
    • Authors: É. Gyurkovics; G. Szabó-Varga; K. Kiss
      Pages: 164 - 177
      Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): É. Gyurkovics, G. Szabó-Varga, K. Kiss
      This paper is devoted to stability analysis of continuous-time delay systems with interval time-varying delays having known bounds on the delay derivatives. A parameterized family of Lyapunov–Krasovskii functionals involving multiple integral terms is introduced, and novel multiple integral inequalities are utilized to derive sufficient stability condition for systems with time-varying delays. The efficiency of the proposed method is illustrated by numerical examples.

      PubDate: 2017-05-18T08:01:59Z
      DOI: 10.1016/j.amc.2017.05.004
      Issue No: Vol. 311 (2017)
       
  • Enhanced ensemble-based classifier with boosting for pattern recognition
    • Authors: Eva Volna; Martin Kotyrba
      Pages: 1 - 14
      Abstract: Publication date: 1 October 2017
      Source:Applied Mathematics and Computation, Volume 310
      Author(s): Eva Volna, Martin Kotyrba
      The aim of the article is a proposal of a classifier based on neural networks that will be applicable in machine digitization of incomplete and inaccurate data or data containing noise for the purpose of their classification (pattern recognition). The article is focused on the possibility of increasing the efficiency of the algorithms via their appropriate combination, and particularly increasing their reliability and reducing their time demands. Time demands do not mean runtime, nor its development, but time demands of applying the algorithm to a particular problem domain. In other words, the amount of professional labour that is needed for such an implementation. The article aims at methods from the field of pattern recognition, which primarily means various types of neural networks. The proposed approaches are verified experimentally.

      PubDate: 2017-05-03T03:13:51Z
      DOI: 10.1016/j.amc.2017.04.019
      Issue No: Vol. 310 (2017)
       
  • Numerical investigation of electrohydrodynamic instability in a vertical
           porous layer
    • Authors: B.M. Shankar; Jai Kumar; I.S. Shivakumara
      Pages: 15 - 39
      Abstract: Publication date: 1 October 2017
      Source:Applied Mathematics and Computation, Volume 310
      Author(s): B.M. Shankar, Jai Kumar, I.S. Shivakumara
      The electrohydrodynamic instability of a vertical dielectric fluid saturated Brinkman porous layer whose vertical walls are maintained at different temperatures is considered. An external AC electric field is applied across the vertical porous layer to induce an unstably stratified electrical body force. The stability eigenvalue equation is solved numerically using the Chebyshev collocation method. The presence of inertia is found to instill instability on the system and the value of modified Darcy–Prandtl number PrD at which the transition from stationary to travelling-wave mode takes place is independent of the AC electric field but increases considerably with an increase in the value of Darcy number Da. The presence of AC electric field promotes instability but its effect is found to be only marginal. Although the flow is stabilizing against stationary disturbances with increasing Da, its effect is noted to be dual in nature if the instability is via travelling-wave mode. The streamlines and isotherms for various values of physical parameters at their critical state are presented and analyzed. Besides, energy norm at the critical state is also computed and found that the disturbance kinetic energy due to surface drag, viscous force and dielectrophoretic force have no significant effect on the stability of fluid flow.

      PubDate: 2017-05-03T03:13:51Z
      DOI: 10.1016/j.amc.2017.04.032
      Issue No: Vol. 310 (2017)
       
  • Unconditional optimal error estimates of a two-grid method for semilinear
           parabolic equation
    • Authors: Dongyang Shi; Huaijun Yang
      Pages: 40 - 47
      Abstract: Publication date: 1 October 2017
      Source:Applied Mathematics and Computation, Volume 310
      Author(s): Dongyang Shi, Huaijun Yang
      In this paper, the error analysis of a two-grid method (TGM) with backward Euler scheme is discussed for semilinear parabolic equation. Contrary to the conventional finite element analysis, the error between exact solution and finite element solution is split into two parts (temporal error and spatial error) by introducing a corresponding time-discrete system. This can lead to the spatial error independent of τ (time step). Secondly, based on the above technique, optimal error estimates in L 2 and H 1-norms of TGM solution are deduced unconditionally, while previous works always require a certain time step size condition. Finally, a numerical experiment is provided to confirm the theoretical analysis.

      PubDate: 2017-05-03T03:13:51Z
      DOI: 10.1016/j.amc.2017.04.010
      Issue No: Vol. 310 (2017)
       
  • Publishing the donation list incompletely promotes the emergence of
           cooperation in public goods game
    • Authors: Qiao Chen; Tong Chen; Yongjie Wang
      Pages: 48 - 56
      Abstract: Publication date: 1 October 2017
      Source:Applied Mathematics and Computation, Volume 310
      Author(s): Qiao Chen, Tong Chen, Yongjie Wang
      Since the donation list contains a lot of information, the cooperation may be promoted if the list can be skillfully applied. If the donation list is published completely, it will be considered as moral coercion. However, it is unfair to cooperators who contribute more money if organizers do not publish the list. Thus, how to publish the donation list properly is a subject worth studying. In our paper, we take reputation, behavior diversity and face culture into account at the same time to study the role of donation list in the public goods game. The results of numerical simulations show that the effect of publishing the list incompletely is better than that of publishing it completely or keeping it secret. Furthermore, there exists an optimum threshold to make the results best. And reasonable neighborhood relations are needed to promote cooperation. In addition, some personal attributes, such as the habit of data selection and mental capacity, have influences on cooperation.

      PubDate: 2017-05-03T03:13:51Z
      DOI: 10.1016/j.amc.2017.04.017
      Issue No: Vol. 310 (2017)
       
  • Event-triggered sampling control for stability and stabilization of
           memristive neural networks with communication delays
    • Authors: Ruimei Zhang; Deqiang Zeng; Shouming Zhong; Yongbin Yu
      Pages: 57 - 74
      Abstract: Publication date: 1 October 2017
      Source:Applied Mathematics and Computation, Volume 310
      Author(s): Ruimei Zhang, Deqiang Zeng, Shouming Zhong, Yongbin Yu
      This paper investigates the global asymptotic stability and stabilization of memristive neural networks (MNNs) with communication delays via event-triggered sampling control. First, based on the novel approach in Lemma 1, the concerned MNNs are converted into traditional neural networks with uncertain parameters. Next, a discrete event-triggered sampling control scheme, which only needs supervision of the system state at discrete instants, is designed for MNNs for the first time. Thanks to this controller, the number of control updates could greatly reduce. Then, by getting utmost out of the usable information on the actual sampling pattern, a newly augmented Lyapunov-Krasovskii functional (LKF) is constructed to formulate stability and stabilization criteria. It should be mentioned that the LKF is positive definite only at endpoints of each subinterval of the holding intervals but not necessarily positive definite inside the holding intervals. Finally, the feasibility and effectiveness of the proposed results are tested by two numerical examples.

      PubDate: 2017-05-03T03:13:51Z
      DOI: 10.1016/j.amc.2017.04.028
      Issue No: Vol. 310 (2017)
       
  • A tenth order A-stable two-step hybrid block method for solving initial
           value problems of ODEs
    • Authors: Higinio Ramos; Gurjinder Singh
      Pages: 75 - 88
      Abstract: Publication date: 1 October 2017
      Source:Applied Mathematics and Computation, Volume 310
      Author(s): Higinio Ramos, Gurjinder Singh
      In this article, a new two-step hybrid block method for the numerical integration of ordinary differential initial value systems is presented. The method is obtained after considering two intermediate points and the approximation of the true solution by an adequate polynomial and imposing collocation conditions. The proposed method has the tenth algebraic order of convergence and is A -stable. The numerical experiments considered revealed the superiority of the new method for solving this kind of problems, in comparison with methods of similar characteristics appeared in the literature.

      PubDate: 2017-05-03T03:13:51Z
      DOI: 10.1016/j.amc.2017.04.020
      Issue No: Vol. 310 (2017)
       
  • Geometric conditions of non-self-intersecting NURBS surfaces
    • Authors: Xuan-Yi Zhao; Chun-Gang Zhu; Han Wang
      Pages: 89 - 96
      Abstract: Publication date: 1 October 2017
      Source:Applied Mathematics and Computation, Volume 310
      Author(s): Xuan-Yi Zhao, Chun-Gang Zhu, Han Wang
      NURBS surface is very useful in geometric modeling, animation, image morphing and deformation. Constructing non-self-intersecting (injective) NURBS surfaces is an important process in surface and solid modeling. In this paper, the injective conditions of tensor product NURBS surface are studied, based on the geometric positions of control points, which are equivalent to the surface to be non-self-intersecting for all positive weights. Finally, some representative examples are provided.

      PubDate: 2017-05-03T03:13:51Z
      DOI: 10.1016/j.amc.2017.04.016
      Issue No: Vol. 310 (2017)
       
  • Low Mach number preconditioning techniques for Roe-type and HLLC-type
           methods for a two-phase compressible flow model
    • Authors: Marica Pelanti
      Pages: 112 - 133
      Abstract: Publication date: 1 October 2017
      Source:Applied Mathematics and Computation, Volume 310
      Author(s): Marica Pelanti
      We describe two-phase flows by a six-equation single-velocity two-phase compressible flow model with stiff mechanical relaxation. In particular, we are interested in the simulation of liquid–gas mixtures such as cavitating flows. For the numerical approximation of the homogeneous hyperbolic portion of the model equations we have previously developed two-dimensional wave propagation finite volume schemes that use Roe-type and HLLC-type Riemann solvers. These schemes are very suited to simulate the dynamics of transonic and supersonic flows. However, these methods suffer from the well known difficulties of loss of accuracy and efficiency encountered by classical upwind finite volume discretizations at low Mach number regimes. This issue is particularly critical for liquid–gas flows, where the Mach number may range from very low to very high values, due to the large and rapid variation of the acoustic impedance. In this work we focus on the problem of loss of accuracy of standard schemes related to the spatial discretization of the convective terms of the model equations. To address this difficulty, we consider the class of preconditioning strategies that correct at low Mach number the numerical dissipation tensor. First we extend the approach of the preconditioned Roe–Turkel scheme of Guillard–Viozat for the Euler equations [Computers & Fluids, 28, 1999] to our Roe-type method for the two-phase flow model, by defining a suitable Turkel-type preconditioning matrix. A similar low Mach number correction is then devised for the HLLC-type method, thanks to a novel reformulation of the HLLC solver. We present numerical results for two-dimensional liquid–gas channel flow tests that show the effectiveness of the proposed preconditioning techniques. In particular, we observe that the order of pressure fluctuations generated at low Mach number regimes by the preconditioned methods agrees with the theoretical results inferred for the continuous relaxed two-phase flow model by an asymptotic analysis.

      PubDate: 2017-05-08T07:31:15Z
      DOI: 10.1016/j.amc.2017.04.014
      Issue No: Vol. 310 (2017)
       
  • Logit selection promotes cooperation in voluntary public goods game
    • Authors: Jinna Lu; Lu Wang; Yi-Ling Wang; Xiaoguang Zhang
      Pages: 134 - 138
      Abstract: Publication date: 1 October 2017
      Source:Applied Mathematics and Computation, Volume 310
      Author(s): Jinna Lu, Lu Wang, Yi-Ling Wang, Xiaoguang Zhang
      In this paper, we present a simple yet effective model to promote cooperation in selfish population, namely, a spatial evolutionary public goods game model that includes three kinds of players: cooperator, defector and loner. In spatial settings, the players locate on a regular lattice, and each player randomly selects one strategy, then all the player acquire their payoffs with their four nearest neighbors, after that the focal player chooses a neighbor based on the logit selection model and updates his/her strategy in accordance with a random sequential simulation procedure. The Monte Carlo simulation results demonstrate that the ruthless invasion of defectors can be efficiently prevented by the loners, especially when enhanced factor r is low. Further interesting is the fact that the introduction of a logit selection model, making the fittest neighbors more likely to act as sources of adopted strategies, effectively promotes the evolution of cooperation even if the loner is absence.

      PubDate: 2017-05-08T07:31:15Z
      DOI: 10.1016/j.amc.2017.04.027
      Issue No: Vol. 310 (2017)
       
  • Numerical solution of time fractional nonlinear Klein–Gordon equation
           using Sinc–Chebyshev collocation method
    • Authors: A.M. Nagy
      Pages: 139 - 148
      Abstract: Publication date: 1 October 2017
      Source:Applied Mathematics and Computation, Volume 310
      Author(s): A.M. Nagy
      In this paper, we proposed a new numerical scheme to solve the time fractional nonlinear Klein–Gordon equation. The fractional derivative is described in the Caputo sense. The method consists of expanding the required approximate solution as the elements of Sinc functions along the space direction and shifted Chebyshev polynomials of the second kind for the time variable. The proposed scheme reduces the solution of the main problem to the solution of a system of nonlinear algebraic equations. Illustrative examples are included to demonstrate the validity and applicability of the technique. The method is easy to implement and produces accurate results.

      PubDate: 2017-05-08T07:31:15Z
      DOI: 10.1016/j.amc.2017.04.021
      Issue No: Vol. 310 (2017)
       
  • An element-free Galerkin approach for rigid–flexible coupling
           dynamics in 2D state
    • Authors: Dan Xie; Kailin Jian; Weibin Wen
      Pages: 149 - 168
      Abstract: Publication date: 1 October 2017
      Source:Applied Mathematics and Computation, Volume 310
      Author(s): Dan Xie, Kailin Jian, Weibin Wen
      Based on an improved element-free Galerkin (EFG) method and the geometric nonlinear elastic theory, an element-free numerical approach for rigid–flexible coupling dynamics of a rotating hub–beam system is implemented. Using the Hamilton principle, the coupled nonlinear integral-differential governing equations are derived, in which the dynamic stiffening effect is expressed by the longitudinal shrinking of the beam induced by the transverse displacement. By the EFG method where the global interpolating moving least squares (IMLS) and generalized moving least squares (IGMLS) were used for discretizing the longitudinal and transverse deformation variables, respectively, the spatially element-free discretized dynamic equations of the system are obtained and the Newmark scheme was selected as the time integration method for the numerical computation. The superiority of the global interpolating property makes the ease for imposing both displacement and derivative boundary conditions. The transverse bending vibration and structural dynamics of the flexible beam in non-inertial system are analyzed in the numerical simulations and influence parameters of the EFG method are also fully discussed. Simulation results verify the feasibility of the improved EFG approach for rigid–flexible coupling dynamics.

      PubDate: 2017-05-13T07:50:42Z
      DOI: 10.1016/j.amc.2017.03.040
      Issue No: Vol. 310 (2017)
       
  • Finite-time dissipative control for stochastic interval systems with
           time-delay and Markovian switching
    • Authors: Guici Chen; Yu Gao; Shasha Zhu
      Pages: 169 - 181
      Abstract: Publication date: 1 October 2017
      Source:Applied Mathematics and Computation, Volume 310
      Author(s): Guici Chen, Yu Gao, Shasha Zhu
      The finite-time stochastically boundedness (FTSB) and the finite-time strictly stochastically exponential dissipative (FTSSED) control problems for the stochastic interval systems, which are encountered the time-delay and Markovian switching, are investigated in this paper. The stochastic delayed interval systems with Markovian switching (SDISswMS) are equivalently transformed into a kind of stochastic uncertain time-delay systems with Markovian switching by interval matrix transformation. Some sufficient conditions of FTSB and FTSSED for the stochastic delayed interval systems with Markovian switching are obtained, and the FTSB and FTSSED controllers are designed by solving a series of linear matrix inequalities, which are solvable by LMIs toolbox. Finally, a numerical example with simulations is given to illustrate the correctness of the obtained results and the effectiveness of the designed controller.

      PubDate: 2017-05-13T07:50:42Z
      DOI: 10.1016/j.amc.2017.04.033
      Issue No: Vol. 310 (2017)
       
  • Reasoning human emotional responses from large-scale social and public
           media
    • Authors: Xianghua Li; Zhen Wang; Chao Gao; Lei Shi
      Pages: 182 - 193
      Abstract: Publication date: 1 October 2017
      Source:Applied Mathematics and Computation, Volume 310
      Author(s): Xianghua Li, Zhen Wang, Chao Gao, Lei Shi
      The basic characteristics of extreme events are their infrequence and potential damages to the human–nature system. It is difficult for people to design comprehensive policies for dealing with such events due to time pressure and their limit knowledge about rare and uncertain sequential impacts. Recently, online media provides digital source of individual and public information to study collective human responses to extreme events, which can help us reduce the damages of an extreme event and improve the efficiency of disaster relief. More specifically, there are different emotional responses (e.g., anxiety and anger) to an event and its subevents during a whole event, which can be reflected in the contents of public news and social media to a certain degree. Therefore, an online computational method for extracting these contents can help us better understand human emotional states at different stages of an event, reveal underlying reasons, and improve the efficiency of event relief. Here, we first employ tweets and reports extracted from Twitter and ReliefWeb for text analysis on three distinct events. Then, we detect textual contents by sentiment lexicon to find out human emotional responses over time. Moreover, a clustering-based method is proposed to detect emotional responses to a certain episode during events based on the co-occurrences of words as used in tweets and/or articles. Taking Japanese earthquake in 2011, Haiti earthquake in 2010 and Swine influenza A (H1N1) pandemic in 2009 as case studies, we reveal the underlying reasons of distinct patterns of human emotional responses to the whole events and their episodes.

      PubDate: 2017-05-13T07:50:42Z
      DOI: 10.1016/j.amc.2017.03.031
      Issue No: Vol. 310 (2017)
       
  • A conservative spectral collocation method for the nonlinear Schrödinger
           equation in two dimensions
    • Authors: Rongpei Zhang; Jiang Zhu; Xijun Yu; Mingjun Li; Abimael F.D. Loula
      Pages: 194 - 203
      Abstract: Publication date: 1 October 2017
      Source:Applied Mathematics and Computation, Volume 310
      Author(s): Rongpei Zhang, Jiang Zhu, Xijun Yu, Mingjun Li, Abimael F.D. Loula
      In this study, we present a conservative Fourier spectral collocation (FSC) method to solve the two-dimensional nonlinear Schrödinger (NLS) equation. We prove that the proposed method preserves the mass and energy conservation laws in semi-discrete formulations. Using the spectral differentiation matrices, the NLS equation is reduced to a system of nonlinear ordinary differential equations (ODEs). The compact implicit integration factor (cIIF) method is later developed for the nonlinear ODEs. In this approach, the storage and CPU cost are significantly reduced such that the use of cIIF method becomes attractive for two-dimensional NLS equation. Numerical results are presented to demonstrate the conservation, accuracy, and efficiency of the method.

      PubDate: 2017-05-13T07:50:42Z
      DOI: 10.1016/j.amc.2017.04.035
      Issue No: Vol. 310 (2017)
       
  • Weighted singular value decomposition and determinantal representations of
           the quaternion weighted Moore–Penrose inverse
    • Authors: Ivan Kyrchei
      Pages: 1 - 16
      Abstract: Publication date: 15 September 2017
      Source:Applied Mathematics and Computation, Volume 309
      Author(s): Ivan Kyrchei
      Weighted singular value decomposition (WSVD) and a representation of the weighted Moore–Penrose inverse of a quaternion matrix by WSVD have been derived. Using this representation, limit and determinantal representations of the weighted Moore–Penrose inverse of a quaternion matrix have been obtained within the framework of the theory of noncommutative column-row determinants. By using the obtained analogs of the adjoint matrix, we get the Cramer rules for the weighted Moore–Penrose solutions of left and right systems of quaternion linear equations.

      PubDate: 2017-04-19T03:55:09Z
      DOI: 10.1016/j.amc.2017.03.048
      Issue No: Vol. 309 (2017)
       
  • The complex variable meshless local Petrov–Galerkin method for
           elastodynamic analysis of functionally graded materials
    • Authors: Baodong Dai; Dandan Wei; Hongping Ren; Zhu Zhang
      Pages: 17 - 26
      Abstract: Publication date: 15 September 2017
      Source:Applied Mathematics and Computation, Volume 309
      Author(s): Baodong Dai, Dandan Wei, Hongping Ren, Zhu Zhang
      As an improvement of the meshless local Petrov–Galerkin (MLPG), the complex variable meshless local Petrov–Galerkin (CVMLPG) method is extended here to dynamic analysis of functionally graded materials (FGMs). In this method, the complex variable moving least-squares (CVMLS) approximation is used instead of the traditional moving least-squares (MLS) to construct the shape functions. The main advantage of the CVMLS approximation over MLS approximation is that the number of the unknown coefficients in the trial function of the CVMLS approximation is less than that of the MLS approximation, thus higher efficiency and accuracy can be achieved under the same node distributions. In implementation of the present method, the variations of the FGMs properties are computed by using material parameters at Gauss points, so it totally avoids the issue of the assumption of homogeneous in each element in the finite element method (FEM) for the FGMs. Several numerical examinations for dynamic analysis of FGMs are carried out to demonstrate the accuracy and efficiency of the CVMLPG.

      PubDate: 2017-04-19T03:55:09Z
      DOI: 10.1016/j.amc.2017.03.042
      Issue No: Vol. 309 (2017)
       
  • High-order finite difference methods for a second order dual-phase-lagging
           models of microscale heat transfer
    • Authors: Dingwen Deng; Yaolin Jiang; Dong Liang
      Pages: 31 - 48
      Abstract: Publication date: 15 September 2017
      Source:Applied Mathematics and Computation, Volume 309
      Author(s): Dingwen Deng, Yaolin Jiang, Dong Liang
      In this paper, a compact alternating direction implicit (ADI) method, which combines the fourth-order compact difference for the approximations of the second spatial derivatives and the approximation factorizations of difference operators, is firstly presented for solving two-dimensional (2D) second order dual-phase-lagging models of microscale heat transfer. By the discrete energy method, it is shown that it is second-order accurate in time and fourth-order accurate in space with respect to L 2-norms. Additionally, the compact ADI method is successfully generalized to solve corresponding three-dimensional (3D) problem. Also, the convergence result of the solver for 3D case is given rigorously. Finally, numerical examples are carried out to testify the computational efficiency of the algorithms and exhibit the correctness of theoretical results.

      PubDate: 2017-04-19T03:55:09Z
      DOI: 10.1016/j.amc.2017.03.035
      Issue No: Vol. 309 (2017)
       
  • A study on nonnegativity preservation in finite element approximation of
           Nagumo-type nonlinear differential equations
    • Authors: Xianping Li; Weizhang Huang
      Pages: 49 - 67
      Abstract: Publication date: 15 September 2017
      Source:Applied Mathematics and Computation, Volume 309
      Author(s): Xianping Li, Weizhang Huang
      Preservation of nonnengativity and boundedness in the finite element solution of Nagumo-type equations with general anisotropic diffusion is studied. Linear finite elements and the backward Euler scheme are used for the spatial and temporal discretization, respectively. An explicit, an implicit, and two hybrid explicit–implicit treatments for the nonlinear reaction term are considered. Conditions for the mesh and the time step size are developed for the numerical solution to preserve nonnegativity and boundedness. The effects of lumping of the mass matrix and the reaction term are also discussed. The analysis shows that the nonlinear reaction term has significant effects on the conditions for both the mesh and the time step size. Numerical examples are given to demonstrate the theoretical findings.

      PubDate: 2017-04-19T03:55:09Z
      DOI: 10.1016/j.amc.2017.03.038
      Issue No: Vol. 309 (2017)
       
  • Pricing and simulating catastrophe risk bonds in a Markov-dependent
           environment
    • Authors: Jia Shao; Apostolos D. Papaioannou; Athanasios A. Pantelous
      Pages: 68 - 84
      Abstract: Publication date: 15 September 2017
      Source:Applied Mathematics and Computation, Volume 309
      Author(s): Jia Shao, Apostolos D. Papaioannou, Athanasios A. Pantelous
      At present, insurance companies are seeking more adequate liquidity funds to cover the insured property losses related to natural and manmade disasters. Past experience shows that the losses caused by catastrophic events, such as earthquakes, tsunamis, floods, or hurricanes, are extremely high. An alternative method for covering these extreme losses is to transfer part of the risk to the financial markets by issuing catastrophe-linked bonds. In this paper, we propose a contingent claim model for pricing catastrophe risk bonds (CAT bonds). First, using a two-dimensional semi-Markov process, we derive analytical bond pricing formulae in a stochastic interest rate environment with aggregate claims that follow compound forms, where the claim inter-arrival times are dependent on the claim sizes. Furthermore, we obtain explicit CAT bond prices formulae in terms of four different payoff functions. Next, we estimate and calibrate the parameters of the pricing models using catastrophe loss data provided by Property Claim Services from 1985 to 2013. Finally, we use Monte Carlo simulations to analyse the numerical results obtained with the CAT bond pricing formulae.

      PubDate: 2017-04-19T03:55:09Z
      DOI: 10.1016/j.amc.2017.03.041
      Issue No: Vol. 309 (2017)
       
  • Rainbow connection numbers of Cayley digraphs on abelian groups
    • Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Yingbin Ma, Zaiping Lu
      A directed path in an edge colored digraph is said to be a rainbow path if no two edges on this path share the same color. An edge colored digraph Γ is rainbow connected if any two distinct vertices can be reachable from each other through rainbow paths. The rc-number of a digraph Γ is the smallest number of colors that are needed in order to make Γ rainbow connected. In this paper, we investigate the rc-numbers of Cayley digraphs on abelian groups and present an upper bound for such digraphs. In addition, we consider the rc-numbers of bi-Cayley graphs on abelian groups.

      PubDate: 2017-05-23T08:11:18Z
       
  • Inverse engineering preferences in simple games
    • Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): A. Garcia, K.W. Hipel
      A method for inverse engineering decision-makers’ preferences based on observable behaviour is designed. This technique allows analysts to narrow down the list of potential preference rankings of possible states in a conflict for each decision-maker using probabilities and expected values. During the inverse engineering procedure, the list of all possible preference rankings is narrowed as decision-makers move and counter-move. Accurate preference information is key to building quality conflict and game models; however, preference rankings for decision-makers are often difficult to obtain directly. A simple two decision-maker, four-state game is used to demonstrate the applicability of the method and to illustrate the insights it provides.

      PubDate: 2017-05-23T08:11:18Z
       
  • SOR-like iteration method for solving absolute value equations
    • Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Yi-Fen Ke, Chang-Feng Ma
      In this paper, we propose an SOR-like iteration method for solving the absolute value equation (AVE), which is obtained by reformulating equivalently the AVE as a two-by-two block nonlinear equation. The convergence results of the proposed iteration method are proved under certain assumptions imposed on the involved parameter. Numerical experiments are given to demonstrate the feasibility, robustness and effectiveness of the SOR-like iteration method.

      PubDate: 2017-05-23T08:11:18Z
       
  • Global dynamics of an HIV model incorporating senior male clients
    • Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Wei Yang, Zhan Shu, James Lam, Chengjun Sun
      In this paper, a compartmental model for the human immunodeficiency virus (HIV) infection among female sex workers and senior male clients is formulated. The qualitative analyses are carried out in terms of the basic reproduction number R 0. The global analytical results are then obtained by employing novel techniques and methods: the disease-free equilibrium is of global asymptotic stability when a threshold R 0 ≤ 1 is satisfied; otherwise, a unique endemic equilibrium exists and it is globally asymptotically stable. Numerical simulations are performed to illustrate and extend analytical results. It is shown that diagnosis, treatment and education have positive effect on the control of HIV transmission, but senior male clients can burden the HIV epidemic and prolong the duration of the disease outbreak.

      PubDate: 2017-05-23T08:11:18Z
       
  • Efficient algorithm for the vertex cover Pk problem on cacti
    • Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Jianhua Tu
      Given a graph G = ( V , E ) , the vertex cover Pk (VCPk ) problem is to find a minimum set F⊆V such that every path of order k in G contains at least one vertex from F. For any integer k ≥ 2, the VCPk problem for general graphs is NP-hard. The paper presents an efficient algorithm for the VCPk problem on cacti.

      PubDate: 2017-05-23T08:11:18Z
       
  • On total rainbow k-connected graphs
    • Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Yuefang Sun, Zemin Jin, Fengwei Li
      A total-colored graph G is total rainbow connected if any two vertices are connected by a path whose edges and inner vertices have distinct colors. A graph G is total rainbow k-connected if there is a total-coloring of G with k colors such that G is total rainbow connected. The total rainbow connection number, denoted by trc(G), of a graph G is the smallest k to make G total rainbow k-connected. For n, k ≥ 1, define h(n, k) to be the minimum size of a total rainbow k-connected graph G of order n. In this paper, we prove a sharp upper bound for trc(G) in terms of the number of vertex-disjoint cycles of G. We also compute exact values and upper bounds for h(n, k).

      PubDate: 2017-05-23T08:11:18Z
       
  • Linearized difference schemes for a BBM equation with a fractional
           nonlocal viscous term
    • Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Can Li
      This paper is concerned with the efficient finite difference schemes for a Benjamin–Bona–Mahony equation with a fractional nonlocal viscous term. By using the weighted-shift Grünwald–Letnikov and the fractional centered difference formulae to approximate the nonlocal fractional operators, we design a class of linearized finite difference schemes for the presented nonlocal model. The existence, stability and convergence of the proposed numerical schemes are rigorously derived with the help of functional analysis. Theoretical analysis shows that the proposed numerical schemes are stable with second order accuracy. Numerical examples are presented to verify our theoretical analysis and to demonstrate the efficiency of the proposed numerical schemes.

      PubDate: 2017-05-23T08:11:18Z
       
  • Analytic solutions of a microstructure PDE and the KdV and
           Kadomtsev–Petviashvili equations by invariant Painlevé analysis and
           generalized Hirota techniques
    • Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Matthew Russo, S. Roy Choudhury
      Truncated Painlevé expansions, invariant Painlevé analysis, and generalized Hirota expansions are employed in combination to solve (‘partially reduce to quadrature’) the integrable KdV and KP equations, and a nonintegrable generalized microstructure (GMS) equation. Although the multisolitons of the KdV and KP equations are very well-known, the solutions obtained here for all the three NLPDEs are novel and non-trivial. The solutions obtained via invariant Painlevé analysis are all complicated rational functions, with arguments which themselves are confluent hypergeometric (KdV) or trigonometric (GMS) functions of various distinct non-traveling (KdV) and traveling wave variables. In some cases, this is slightly reminiscent of doubly-periodic elliptic function solutions when nonlinear ODE systems are reduced to quadratures. The solutions obtained by the use of recently-generalized Hirota-type expansions in the truncated Painlevé expansions are closer in functional form to conventional hyperbolic secant solutions, although with non-trivial traveling-wave arguments which are distinct for the three NLPDEs considered here.

      PubDate: 2017-05-23T08:11:18Z
       
  • Achieving higher order of convergence for solving systems of nonlinear
           equations
    • Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Xiaoyong Xiao, Hongwei Yin
      In this paper, we develop a class of third order methods which is a generalization of the existing ones and a method of fourth order method, then introduce a technique that improves the order of convergence of any given iterative method for solving systems of nonlinear equations. Based on a given iterative method of order p ≥ 2 which uses the extended Newton iteration as a predictor, a new method of order p + 2 is proposed with only one additional evaluation of the function. Moreover, if the given iterative method of order p ≥ 3 uses the Newton iteration as a predictor, then a new method of order p + 3 can be developed. Applying this procedure, we obtain some new methods with higher order of convergence. Moreover, computational efficiency is analyzed and comparisons are made between these new methods and the ones from which have been derived. Finally, several numerical tests are performed to show the asymptotic behaviors which confirm the theoretical results.

      PubDate: 2017-05-23T08:11:18Z
       
  • Two-walks degree assortativity in graphs and networks
    • Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Alfonso Allen-Perkins, Juan Manuel Pastor, Ernesto Estrada
      Degree assortativity is the tendency for nodes of high degree (resp. low degree) in a graph to be connected to high degree nodes (resp. to low degree ones). It is usually quantified by the Pearson correlation coefficient of the degree–degree correlation. Here we extend this concept to account for the effect of second neighbours to a given node in a graph. That is, we consider the two-walks degree of a node as the sum of all the degrees of its adjacent nodes. The two-walks degree assortativity of a graph is then the Pearson correlation coefficient of the two-walks degree–degree correlation. We found here analytical expression for this two-walks degree assortativity index as a function of contributing subgraphs. We then study all the 261,000 connected graphs with 9 nodes and observe the existence of assortative–assortative and disassortative–disassortative graphs according to degree and two-walks degree, respectively. More surprisingly, we observe a class of graphs which are degree disassortative and two-walks degree assortative. We explain the existence of some of these graphs due to the presence of certain topological features, such as a node of low-degree connected to high-degree ones. More importantly, we study a series of 49 real-world networks, where we observe the existence of the disassortative–assortative class in several of them. In particular, all biological networks studied here were in this class. We also conclude that no graphs/networks are possible with assortative–disassortative structure.

      PubDate: 2017-05-23T08:11:18Z
       
  • A new collocation approach for solving systems of high-order linear
           Volterra integro-differential equations with variable coefficients
    • Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Farshid Mirzaee, Seyede Fatemeh Hoseini
      This paper contributes an efficient numerical approach for solving the systems of high-order linear Volterra integro-differential equations with variable coefficients under the mixed conditions. The method we have used consists of reducing the problem to a matrix equation which corresponds to a system of linear algebraic equations. The obtained matrix equation is based on the matrix forms of Fibonacci polynomials and their derivatives by means of collocations. In addition, the method is presented with error. Numerical results with comparisons are given to demonstrate the applicability, efficiency and accuracy of the proposed method. The results of the examples indicated that the method is simple and effective, and could provide an approximate solution with high accuracy or exact solution of the system of high-order linear Volterra integro-differential equations.

      PubDate: 2017-05-23T08:11:18Z
       
  • Synchronization of nonlinear singularly perturbed complex networks with
           uncertain inner coupling via event triggered control
    • Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): K. Sivaranjani, R. Rakkiyappan, Jinde Cao, Ahmed Alsaedi
      This study is concerned with the synchronization problem of nonlinear singularly perturbed complex networks with time-varying coupling delays. In an aim to shrink the treatment of network resources event triggered control strategy is proposed to achieve the synchronization criteria. By developing the novel Lyapunov–Krasovskii functional, some adequate conditions which ensure the asymptotic synchronization are obtained in the form of linear matrix inequalities. Besides that, synchronization problem of nonlinear singularly perturbed complex networks with uncertain inner coupling are also taken into account. The uncertain inner coupling is represented by making use of the interval matrix approach. Finally, simulation results are displayed to show the efficacy of the proposed theoretical results.

      PubDate: 2017-05-23T08:11:18Z
       
  • A monotone finite volume scheme for diffusion equations on general
           non-conforming meshes
    • Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Qi Zhang, Zhiqiang Sheng, Guangwei Yuan
      A nonlinear monotone finite volume scheme on general non-conforming meshes for diffusion equations is introduced, which deals with discontinuous tensor coefficients rigorously. Since the expression of normal flux depends on auxiliary unknowns defined at cell-vertex including hanging nodes, we propose a new method to eliminate vertex-unknown by using primary unknowns at the centers of the cells sharing the vertex. Especially the unknowns defined on hanging nodes are eliminated by flux continuous conditions. The resulting scheme is monotone and preserves positivity of analytical solutions for strongly anisotropic and heterogeneous full tensor coefficient problems. Numerical results show that the convergent order of the monotone scheme by different methods of eliminating vertex unknowns will vary remarkably, and our new method can assure that it has almost second order accuracy and more accurate than some existing methods.

      PubDate: 2017-05-23T08:11:18Z
       
  • Generalized convolution-type singular integral equations
    • Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Pingrun Li
      In this paper, we study one class of generalized convolution-type singular integral equations in class {0}. Such equations are turned into complete singular integral equations with nodal points and further turned into boundary value problems for analytic function with discontinuous coefficients by Fourier transforms. For such equations, we will propose one method different from classical one and obtain the general solutions and their conditions of solvability in class {0}. Thus, this paper generalizes the theory of classical equations of convolution type.

      PubDate: 2017-05-23T08:11:18Z
       
  • New stability results for delayed neural networks
    • Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Hanyong Shao, Huanhuan Li, Chuanjie Zhu
      This paper is concerned with the stability for delayed neural networks. By more fully making use of the information of the activation function, a new Lyapunov–Krasovskii functional (LKF) is constructed. Then a new integral inequality is developed, and more information of the activation function is taken into account when the derivative of the LKF is estimated. By Lyapunov stability theory, a new stability result is obtained. Finally, three examples are given to illustrate the stability result is less conservative than some recently reported ones.

      PubDate: 2017-05-23T08:11:18Z
       
  • Error estimates on a finite volume method for diffusion problems with
           interface on rectangular grids
    • Abstract: Publication date: 15 October 2017
      Source:Applied Mathematics and Computation, Volume 311
      Author(s): Jie Peng, Shi Shu, HaiYuan Yu, Chunsheng Feng, Mingxian Kan, Ganghua Wang
      The finite volume methods are frequently employed in the discretization of diffusion problems with interface. In this paper, we firstly present a vertex-centered MACH-like finite volume method for solving stationary diffusion problems with strong discontinuity and multiple material cells on the Eulerian quadrilateral grids. This method is motivated by Frese [No. AMRC-R-874, Mission Research Corp., Albuquerque, NM, 1987]. Then, the local truncation error and global error estimates of the degenerate five-point MACH-like scheme are derived by introducing some new techniques. Especially under some assumptions, we prove that this scheme can reach the asymptotic optimal error estimate O(h 2 ln h ) in the maximum norm. Finally, numerical experiments verify theoretical results.

      PubDate: 2017-05-23T08:11:18Z
       
  • The extrapolation methods based on Simpson’s rule for computing
           supersingular integral on interval
    • Authors: Jin
      Abstract: Publication date: 1 October 2017
      Source:Applied Mathematics and Computation, Volume 310
      Author(s): Jin Li
      The Simpson’s rule for the computation of supersingular integrals in boundary element methods is discussed, and the asymptotic expansion of error function is obtained. A series to approach the singular point is constructed. The extrapolation algorithm is presented and the convergence rate is proved. Some numerical results are also reported to confirm the theoretical results and show the efficiency of the algorithms.

      PubDate: 2017-05-13T07:50:42Z
       
  • The stochastic Korteweg–de Vries equation on a bounded domain
    • Authors: Peng Gao
      Abstract: Publication date: 1 October 2017
      Source:Applied Mathematics and Computation, Volume 310
      Author(s): Peng Gao
      This paper considers the stochastic Korteweg–de Vries equation on a bounded domain. The existence of a weak martingale solution is discussed by the Galerkin’s approximation and compactness method. Based on this result, we establish the Unique Continuation Property for the stochastic Korteweg–de Vries equation.

      PubDate: 2017-05-08T07:31:15Z
       
 
 
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