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  Subjects -> COMPUTER SCIENCE (Total: 1988 journals)
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COMPUTER SCIENCE (1153 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: 14)
Abakós     Open Access   (Followers: 3)
Academy of Information and Management Sciences Journal     Full-text available via subscription   (Followers: 68)
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: 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: 20)
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: 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: 54)
Advances in Engineering Software     Hybrid Journal   (Followers: 25)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Human Factors/Ergonomics     Full-text available via subscription   (Followers: 26)
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: 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   (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: 4)
Archive of Numerical Software     Open Access  
Archives and Museum Informatics     Hybrid Journal   (Followers: 123)
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: 292)
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: 32)
Briefings in Bioinformatics     Hybrid Journal   (Followers: 45)
British Journal of Educational Technology     Hybrid Journal   (Followers: 124)
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: 19)
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: 8)
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: 29)
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: 14)
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)

        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  [3043 journals]
  • 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)
       
  • The influence of internal noise on the detection of hormonal signal with
           the existence of external noise in a cell system
    • Authors: Hongying Li; Chengli Yao
      Pages: 1 - 6
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Hongying Li, Chengli Yao
      In recent years, the constructive role of internal noise in mesoscopic system has attracted much attention. Because the external noise is also unavoidable, it is more practical to study the influence of internal noise with the existence of external noise in these systems. By constructing a mesoscopic stochastic model of a cell system, we discussed the influence of internal noise on the detection of hormonal signal with the existence of external noise. Results have found that internal noise can play a constructive role when external noise intensity is at some regions (D < 1.0 and D > 1.16), so that the cell system can effectively detect the weak hormonal signal through intracellular calcium spikes. This phenomenon is different from the results found previously, where it was found that internal noise always played a destructive role except for at very small external noise intensity.

      PubDate: 2017-07-12T04:03:45Z
      DOI: 10.1016/j.amc.2017.06.021
      Issue No: Vol. 314 (2017)
       
  • Fractional and complex pseudo-splines and the construction of Parseval
           frames
    • Authors: Peter Massopust; Brigitte Forster; Ole Christensen
      Pages: 12 - 24
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Peter Massopust, Brigitte Forster, Ole Christensen
      Pseudo-splines of integer order (m, ℓ) were introduced by Daubechies, Han, Ron, and Shen as a family which allows interpolation between the classical B-splines and the Daubechies’ scaling functions. The purpose of this paper is to generalize the pseudo-splines to fractional and complex orders (z, ℓ) with α ≔ Re z ≥ 1. This allows increased flexibility in regard to smoothness: instead of working with a discrete family of functions from Cm , m ∈ N 0 , one uses a continuous family of functions belonging to the Hölder spaces C α − 1 . The presence of the imaginary part of z allows for direct utilization in complex transform techniques for signal and image analyses. We also show that in analogue to the integer case, the generalized pseudo-splines lead to constructions of Parseval wavelet frames via the unitary extension principle. The regularity and approximation order of this new class of generalized splines is also discussed.

      PubDate: 2017-07-12T04:03:45Z
      DOI: 10.1016/j.amc.2017.06.023
      Issue No: Vol. 314 (2017)
       
  • Spanning trees and recurrent configurations of a graph
    • Authors: Xiaoxia Wu; Lianzhu Zhang; Haiyan Chen
      Pages: 25 - 30
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Xiaoxia Wu, Lianzhu Zhang, Haiyan Chen
      A new explicit relationship between spanning trees and recurrent configurations of a graph is given by constructing subtree. Applying this relationship, we determine the total number of topplings in an avalanche. As applications, we calculate the sizes of avalanches of the Abelian sandpile model on the complete graph, the wheel and the complete bipartite graph.

      PubDate: 2017-07-12T04:03:45Z
      DOI: 10.1016/j.amc.2017.06.030
      Issue No: Vol. 314 (2017)
       
  • Privacy-preserving certificateless provable data possession scheme for big
           data storage on cloud
    • Authors: Debiao He; Neeraj Kumar; Huaqun Wang; Lina Wang; Kim-Kwang Raymond Choo
      Pages: 31 - 43
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Debiao He, Neeraj Kumar, Huaqun Wang, Lina Wang, Kim-Kwang Raymond Choo
      Cloud storage is generally regarded as one of the most promising technologies to address various big data challenges (e.g. secure storage for big data), due to the capability to provide scalability and functional diversity. However, how to efficiently audit the integrity of outsourced data remains a research challenge. Provable data possession (PDP) scheme can potentially be used to verify the integrity of outsourced data without downloading such data. However, existing PDP schemes suffer from either certificate management or key escrow problems. A number of certificateless PDP (CLPDP) schemes for the public cloud storage have been designed to address the above problems. However, most of them do not offer privacy protection from the verifier (i.e. verifier could obtain the data stored in the cloud when verifying their integrity). In this paper, we propose a privacy-preserving CLPDP (PP-CLPDP) scheme to address certificate management and key escrow problems, as well as ensuring privacy protection. We also prove the security and evaluate the performance of our proposed PP-CLPDP scheme.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.07.008
      Issue No: Vol. 314 (2017)
       
  • A nonnegativity preserved efficient chemical solver applied to the air
           pollution forecast
    • Authors: Fan Feng; Xuebin Chi; Zifa Wang; Jie Li; Jinrong Jiang; Wenyi Yang
      Pages: 44 - 57
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Fan Feng, Xuebin Chi, Zifa Wang, Jie Li, Jinrong Jiang, Wenyi Yang
      Air pollution forecast is becoming more and more important nowadays. The numerically sticky chemical ordinary differential equations (ODEs) is a critical component of air pollution models. Various solvers have been designed for the chemical ODEs in the past. However, they are either slow or imprecise. In our previous work, we have designed a nonnegativity preserved efficient chemical solver MBE, which is an acronym for Modified-Backward-Euler. In this paper, we review MBE method and prove its convergence and stability mathematically, which guarantee that MBE results converge to the exact solutions as the step-size becomes smaller and MBE results with relatively small step-size can be used as the standard. Then we apply MBE to the Nested Air Quality Prediction Modeling System (NAQPMS). Comparison between MBE and the most popular solver LSODE is also made. Considering the speed and precision, MBE is a better choice for the air pollution forecast.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.06.008
      Issue No: Vol. 314 (2017)
       
  • Asymptotics for varying discrete Sobolev orthogonal polynomials
    • Authors: Juan F. Mañas–Mañas; Francisco Marcellán; Juan J. Moreno–Balcázar
      Pages: 65 - 79
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Juan F. Mañas–Mañas, Francisco Marcellán, Juan J. Moreno–Balcázar
      We consider a varying discrete Sobolev inner product such as ( f , g ) S = ∫ f ( x ) g ( x ) d μ + M n f ( j ) ( c ) g ( j ) ( c ) , where μ is a finite positive Borel measure supported on an infinite subset of the real line, c is adequately located on the real axis, j≥0, and {Mn } n≥0 is a sequence of nonnegative real numbers satisfying a very general condition. Our aim is to study asymptotic properties of the sequence of orthonormal polynomials with respect to this Sobolev inner product. In this way, we focus our attention on Mehler-Heine type formulae as they describe in detail the asymptotic behavior of these polynomials around c, just the point where we have located the perturbation of the standard inner product. Moreover, we pay attention to the asymptotic behavior of the (scaled) zeros of these varying Sobolev polynomials and some numerical experiments are shown. Finally, we provide other asymptotic results which strengthen the idea that Mehler–Heine asymptotics describe in a precise way the differences between Sobolev orthogonal polynomials and standard ones.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.06.020
      Issue No: Vol. 314 (2017)
       
  • Structured condition numbers and small sample condition estimation of
           symmetric algebraic Riccati equations
    • Authors: Huai-An Diao; Dongmei Liu; Sanzheng Qiao
      Pages: 80 - 97
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Huai-An Diao, Dongmei Liu, Sanzheng Qiao
      This paper is devoted to a structured perturbation analysis of the symmetric algebraic Riccati equations by exploiting the symmetry structure. Based on the analysis, the upper bounds for the structured normwise, mixed and componentwise condition numbers are derived. Due to the exploitation of the symmetry structure, our results are improvements of the previous work on the perturbation analysis and condition numbers of the symmetric algebraic Riccati equations. Our preliminary numerical experiments demonstrate that our condition numbers provide accurate estimates for the change in the solution caused by the perturbations on the data. Moreover, by applying the small sample condition estimation method, we propose a statistical algorithm for practically estimating the condition numbers of the symmetric algebraic Riccati equations.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.06.028
      Issue No: Vol. 314 (2017)
       
  • Stabilization of stochastic delay systems via a disordered controller
    • Authors: Guoliang Wang; Hongyang Cai; Qingling Zhang; Chunyu Yang
      Pages: 98 - 109
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Guoliang Wang, Hongyang Cai, Qingling Zhang, Chunyu Yang
      In this paper, the stabilization for stochastic delay systems is achieved by a disordered controller. Different from the traditionally stabilizing controllers, the controller designed here experiences a disorder between control gains and system states. By exploiting the robust method, the above disorder is described as a controller having special uncertainties. Moreover, the probability distribution of such uncertainties is embodied by a Bernoulli variable. A sufficient condition for the existence of such a disordered controller is given with LMIs, where the probability is considered in its design procedure. Based on this description, a more general but complicated case where the corresponding probability is not exact but has a uncertainty is further studied, whose LMI conditions are presented too. Finally, a numerical example is exploited to demonstrate the effectiveness and superiority of the proposed methods.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.06.022
      Issue No: Vol. 314 (2017)
       
  • A meshless symplectic algorithm for nonlinear wave equation using highly
           accurate RBFs quasi-interpolation
    • Authors: Shengliang Zhang; Yu Yang; Hongqiang Yang
      Pages: 110 - 120
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Shengliang Zhang, Yu Yang, Hongqiang Yang
      This study suggests a high-order meshless symplecitc algorithm for Hamiltonian wave equation by using highly accurate radial basis functions (RBFs) quasi-interpolation operator. The method does not require solving a resultant full matrix and possesses a high order accuracy compared with existing numerical methods. We also present a theoretical framework to show the conservativeness and convergence of the proposed symplectic method. As the numerical experiments shown, it not only offers a high order accuracy but also has a good property of long-time tracking capability.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.07.010
      Issue No: Vol. 314 (2017)
       
  • Exponential synchronization of chaotic neural networks with time-varying
           delay via intermittent output feedback approach
    • Authors: Zhi-Ming Zhang; Yong He; Min Wu; Qing-Guo Wang
      Pages: 121 - 132
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Zhi-Ming Zhang, Yong He, Min Wu, Qing-Guo Wang
      This paper is dealt with the problem of exponential synchronization for chaotic neural networks with time-varying delay by using intermittent output feedback control. Based on the Lyapunov–Krasovskii functional method and the lower bound lemma for reciprocally convex technique, a novel criterion for existence of the controller is first established to ensure synchronization between the master and slave systems. Moreover, from the delay point of view, the derived criterion is extended to the relaxed case because of introducing an adjustable parameter in the Lyapunov–Krasovskii functional. Finally, a numerical simulation is carried out to demonstrate the effectiveness of the proposed synchronization law.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.07.019
      Issue No: Vol. 314 (2017)
       
  • Robust adaptive state feedback sliding-mode control of memristor-based
           Chua’s systems with input nonlinearity
    • Authors: Yanmei Xue; Bo-Chao Zheng; Tao Li; Yuanlu Li
      Pages: 142 - 153
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Yanmei Xue, Bo-Chao Zheng, Tao Li, Yuanlu Li
      This paper deals with the state feedback stabilization of a class of uncertain memristor-based Chua’s circuit systems. By the combination of the characteristics of the memristor, the system model of the uncertain memristive Chua’s circuit with input nonlinearity is built. Under the assumption that the gain reduction parameter of the input nonlinearity is unknown a prior, the robust adaptive sliding-mode control (SMC) schemes are proposed to ensure that the system trajectory of the uncertain memristive Chua’s circuit can be driven into the sliding surface and subsequently sliding into the origin. Finally, the effectiveness of the proposed method is verified via simulation.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.07.015
      Issue No: Vol. 314 (2017)
       
  • Analysis of unreliable BMAP/PH/N type queue with Markovian flow of
           breakdowns
    • Authors: Chesoong Kim; V.I. Klimenok; A.N. Dudin
      Pages: 154 - 172
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Chesoong Kim, V.I. Klimenok, A.N. Dudin
      Unreliability of components is the inherent feature of many real world systems and its account is vital for correct prediction of performance measures of the system. Multi-server queueing model considered in this paper allows to evaluate characteristics of the systems under much more general assumptions about the probabilistic distributions describing behavior of the system than models known in existing literature. We analyse the multi-server queue with infinite buffer and the Batch Markovian Arrival Process (BMAP) of customers. The servers are identical and independent of each other. Service time of a customer has phase-type (PH) distribution. Servers are subject to breakdowns and repairs. Breakdowns occurrence moments are defined by the Markovian Arrival Process (MAP). The breakdown causes a failure of any server, which is not under repair. When a server fails the repair period starts immediately. The duration of this period has PH distribution. A customer whose service is interrupted occupies an idle server, if any, and continues his/her service. If he/she does not see an idle server, the customer goes to the buffer with some probability and permanently leaves the system with the complementary probability. We derive the constructive ergodicity condition and calculate the stationary distribution and the main performance characteristics of the system. Illustrative numerical examples are presented.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.06.035
      Issue No: Vol. 314 (2017)
       
  • Representation of solutions to the one-dimensional Schrödinger equation
           in terms of Neumann series of Bessel functions
    • Authors: Vladislav V. Kravchenko; Luis J. Navarro; Sergii M. Torba
      Pages: 173 - 192
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Vladislav V. Kravchenko, Luis J. Navarro, Sergii M. Torba
      A new representation of solutions to the equation − y ′ ′ + q ( x ) y = ω 2 y is obtained. For every x the solution is represented as a Neumann series of Bessel functions depending on the spectral parameter ω. Due to the fact that the representation is obtained using the corresponding transmutation operator, a partial sum of the series approximates the solution uniformly with respect to ω which makes it especially convenient for the approximate solution of spectral problems. The numerical method based on the proposed approach allows one to compute large sets of eigendata with a nondeteriorating accuracy.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.07.006
      Issue No: Vol. 314 (2017)
       
  • Role of constant prey refuge on stage structure predator–prey model with
           ratio dependent functional response
    • Authors: Subhas Khajanchi; Sandip Banerjee
      Pages: 193 - 198
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Subhas Khajanchi, Sandip Banerjee
      A constant prey refuge has been incorporated in a stage structured predator–prey model with ratio-dependent functional response. Sufficient conditions are obtained for the uniform persistence and global asymptotic stability, by constructing suitable Lyapunov function. Our model analysis demonstrates that the constant prey refuge plays an important role on the coexistence of stage structured predator-prey species.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.07.017
      Issue No: Vol. 314 (2017)
       
  • Hybrid difference scheme for singularly perturbed
           reaction-convection-diffusion problem with boundary and interior layers
    • Authors: T. Prabha; M. Chandru; V. Shanthi
      Pages: 237 - 256
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): T. Prabha, M. Chandru, V. Shanthi
      A singularly perturbed second order ordinary differential equation having two small parameters with a discontinuous source term is considered. The presence of two parameters gives rise to boundary layers of different widths and the discontinuous source term generates interior layers on both sides of the discontinuous point. Theoretical bounds are derived. The problem is solved numerically with finite difference methods on a Shishkin mesh. The discretization combines a five point second order scheme at the interior layer together with the standard central, mid-point and upwind difference scheme for other regions. This combination is used in order to obtain almost second order convergence for the considered problem. Parameter uniform error bounds for the numerical approximation are established. Numerical results are presented to illustrate the convergence of the numerical approximations.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.06.029
      Issue No: Vol. 314 (2017)
       
  • Topological aspects of weighted graphs with application to fixed point
           theory
    • Authors: M.R. Alfuraidan
      Pages: 287 - 292
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): M.R. Alfuraidan
      In this work, we introduce new concepts of G-monotone sequences, G-bounded and Gτ -compact nonempty subsets of the set of vertices of a weighted digraph G, where τ is a sequential convergence. We also provide an application to metric fixed point theory.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.06.032
      Issue No: Vol. 314 (2017)
       
  • Nonlocal symmetries and explicit solutions for the Gardner equation
    • Authors: Jinxi Fei; Weiping Cao; Zhengyi Ma
      Pages: 293 - 298
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Jinxi Fei, Weiping Cao, Zhengyi Ma
      From the known Lax pair of the Gardner equation, the Lie symmetry group method is successfully applied to find exact invariant solutions for the Gardner equation with nonlocal symmetries by introducing suitable auxiliary dependent variables. Based on the prolonged system, the explicit analytic solutions related to the Jacobi elliptic functions are derived. Figures illustrate the interaction between the cnoidal waves and a kink wave.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.07.002
      Issue No: Vol. 314 (2017)
       
  • Global Output-Feedback Adaptive Stabilization for Planar Nonlinear Systems
           with Unknown Growth Rate and Output Function
    • Authors: Xuehua Yan; Xinmin Song; Zhonghua Wang; Yun Zhang
      Pages: 299 - 309
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Xuehua Yan, Xinmin Song, Zhonghua Wang, Yun Zhang
      This paper studies the problem of global output-feedback stabilization by adaptive method for a class of planar nonlinear systems with unmeasurable state dependent growth and unknown output function. It is worth emphasizing that not only the growth rate, but also the upper and lower bounds of the derivative of output function are not required to be known in the paper. To solve the problem, we propose a new adaptive output-feedback control scheme based on only one dynamic high-gain, by skillfully constructing the new Lyapunov function, and flexibly using the ideas of universal control and backstepping. It is shown that the state of the closed-loop system is bounded while global asymptotic stability can be achieved. Two examples including a practical example are given to demonstrate the effectiveness of the theoretical results.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.07.014
      Issue No: Vol. 314 (2017)
       
  • Study on fractional order gradient methods
    • Authors: Yuquan Chen; Qing Gao; Yiheng Wei; Yong Wang
      Pages: 310 - 321
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Yuquan Chen, Qing Gao, Yiheng Wei, Yong Wang
      In this paper, convergence capability of the conventional fractional order gradient methods (FOGMs) is analyzed and a new FOGM with guaranteed and faster convergence ability is proposed. In particular, we further consider the case that the derivative order varies between 1 and 2, and give some discussion on how to determine the derivative order in the algorithm settings. Simulation results from a number of numerical examples are provided to illustrate the approaches.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.07.023
      Issue No: Vol. 314 (2017)
       
  • New criteria of stability analysis for generalized neural networks subject
           to time-varying delayed signals
    • Authors: Bo Wang; Juan Yan; Jun Cheng; Shouming Zhong
      Pages: 322 - 333
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Bo Wang, Juan Yan, Jun Cheng, Shouming Zhong
      This paper focuses on the new criteria of stability analysis for generalized neural networks (GNNs) subject to time-varying delayed signals. A new methodology is employed with the aids of slack variables. By constructing an augmented Lyapunov–Krasovskii functional (LKF) involving Newton–Leibniz enumerating and triple integral term, some less conservative conditions are achieved in terms of linear matrix inequality (LMI). Numerical examples including real-time application are given to illustrate the superiority and effectiveness of proposed approach.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.06.031
      Issue No: Vol. 314 (2017)
       
  • A Decoupled method for image inpainting with patch-based low rank
           regulariztion
    • Authors: Fang Li; Xiaoguang Lv
      Pages: 334 - 348
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Fang Li, Xiaoguang Lv
      In this paper, we propose a decoupled variational method for image inpainting in both image domain and transform domain including wavelet domain and Fourier domain. The original image inpainting problem is decoupled as two minimization problems with different energy functionals. One is image denoising with low rank regularization method, i.e., the patch-based weighted nuclear norm minimization (PWNNM). The other is linear combination in image domain or transform domain. An iterative algorithm is then obtained by minimizing the two problems alternatingly. In particular, we derive the variational formulas for PWNNM and reformulate the denoising process into three steps: image decomposition, patch matrix denoising, and image reconstruction. The convergence of the numerical algorithm is proved under some assumptions. The numerical experiments and comparisons on various images demonstrate the effectiveness of the proposed methods.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.06.027
      Issue No: Vol. 314 (2017)
       
  • Least square ellipsoid fitting using iterative orthogonal transformations
    • Authors: Amit Reza; Anand S. Sengupta
      Pages: 349 - 359
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Amit Reza, Anand S. Sengupta
      We describe a generalised method for ellipsoid fitting against a minimum set of data points. The proposed method is numerically stable and applies to a wide range of ellipsoidal shapes, including highly elongated and arbitrarily oriented ellipsoids. This new method also provides for the retrieval of rotational angle and length of semi-axes of the fitted ellipsoids accurately. We demonstrate the efficacy of this algorithm on simulated data sets and also indicate its potential use in gravitational wave data analysis.

      PubDate: 2017-08-03T09:30:26Z
      DOI: 10.1016/j.amc.2017.07.025
      Issue No: Vol. 314 (2017)
       
  • Random neighborhood graphs as models of fracture networks on rocks:
           Structural and dynamical analysis
    • Authors: Ernesto Estrada; Matthew Sheerin
      Pages: 360 - 379
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Ernesto Estrada, Matthew Sheerin
      We propose a new model to account for the main structural characteristics of rock fracture networks (RFNs). The model is based on a generalization of the random neighborhood graphs to consider fractures embedded into rectangular spaces. We study a series of 29 real-world RFNs and find the best fit with the random rectangular neighborhood graphs (RRNGs) proposed here. We show that this model captures most of the structural characteristics of the RFNs and allows a distinction between small and more spherical rocks and large and more elongated ones. We use a diffusion equation on the graphs in order to model diffusive processes taking place through the channels of the RFNs. We find a small set of structural parameters that highly correlates with the average diffusion time in the RFNs. We found analytically some bounds for the diameter and the algebraic connectivity of these graphs that allow to bound the diffusion time in these networks. We also show that the RRNGs can be used as a suitable model to replace the RFNs in the study of diffusion-like processes. Indeed, the diffusion time in RFNs can be predicted by using structural and dynamical parameters of the RRNGs. Finally, we also explore some potential extensions of our model to include variable fracture apertures, the possibility of long-range hops of the diffusive particles as a way to account for heterogeneities in the medium and possible superdiffusive processes, and the extension of the model to 3-dimensional space.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.06.018
      Issue No: Vol. 314 (2017)
       
  • On A-stable one-leg methods for solving nonlinear Volterra functional
           differential equations
    • Authors: Wansheng Wang
      Pages: 380 - 390
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Wansheng Wang
      This paper is concerned with the stability of the one-leg methods for nonlinear Volterra functional differential equations (VFDEs). The contractivity and asymptotic stability properties are first analyzed for quasi-equivalent and A-stable one-leg methods by use of two lemmas proven in this paper. To extend the analysis to the case of strongly A-stable one-leg methods, Nevanlinna and Liniger’s technique of introducing new norm is used to obtain the conditions for contractivity and asymptotic stability of these methods. As a consequence, it is shown that one-leg θ-methods (θ ∈ (1/2, 1]) with linear interpolation are unconditionally contractive and asymptotically stable, and 2-step Adams type method and 2-step BDF method are conditionally contractive and asymptotically stable. The bounded stability of the midpoint rule is also proved with the help of the concept of semi-equivalent one-leg methods.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.07.013
      Issue No: Vol. 314 (2017)
       
  • Algebraic construction and numerical behavior of a new s-consistent
           difference scheme for the 2D Navier–Stokes equations
    • Authors: Pierluigi Amodio; Yuri Blinkov; Vladimir Gerdt; Roberto La Scala
      Pages: 408 - 421
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Pierluigi Amodio, Yuri Blinkov, Vladimir Gerdt, Roberto La Scala
      In this paper, we consider a regular grid with equal spatial spacings and construct a new finite difference approximation (difference scheme) for the system of two-dimensional Navier–Stokes equations describing the unsteady motion of an incompressible viscous liquid of constant viscosity. In so doing, we use earlier constructed discretization of the system of three equations: the continuity equation and the proper Navier–Stokes equations. Then, we compute the canonical Gröbner basis form for the obtained discrete system. It gives one more difference equation which is equivalent to the pressure Poisson equation modulo difference ideal generated by the Navier–Stokes equations, and thereby comprises a new finite difference approximation (scheme). We show that the new scheme is strongly consistent. Besides, our computational experiments demonstrate much better numerical behavior of the new scheme in comparison with the other strongly consistent schemes we constructed earlier and with the scheme which is not strongly consistent.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.06.037
      Issue No: Vol. 314 (2017)
       
  • Hierarchy of stability criterion for time-delay systems based on multiple
           integral approach
    • Authors: Zhanshan Wang; Sanbo Ding; Huaguang Zhang
      Pages: 422 - 428
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Zhanshan Wang, Sanbo Ding, Huaguang Zhang
      Taking a class of time-delay systems as research object, this brief aims at developing a theoretical support on the hierarchy of stability criterion which is derived by the multiple integral approach and free-weighting matrix technique. The hierarchy implies that the conservatism of stability criterion can be reduced by increasing the ply of integral terms in Lyapunov–Krasovskii functional (LKF). Together with three numerical experiments, the hierarchy of stability criterion is further shown.

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.07.016
      Issue No: Vol. 314 (2017)
       
  • Mixed metric dimension of graphs
    • Authors: Aleksander Kelenc; Dorota Kuziak; Andrej Taranenko; Ismael G. Yero
      Pages: 429 - 438
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Aleksander Kelenc, Dorota Kuziak, Andrej Taranenko, Ismael G. Yero
      Let G = ( V , E ) be a connected graph. A vertex w ∈ V distinguishes two elements (vertices or edges) x, y ∈ E ∪ V if dG (w, x) ≠ dG (w, y). A set S of vertices in a connected graph G is a mixed metric generator for G if every two distinct elements (vertices or edges) of G are distinguished by some vertex of S. The smallest cardinality of a mixed metric generator for G is called the mixed metric dimension and is denoted by dim m ( G ) . In this paper we consider the structure of mixed metric generators and characterize graphs for which the mixed metric dimension equals the trivial lower and upper bounds. We also give results about the mixed metric dimension of some families of graphs and present an upper bound with respect to the girth of a graph. Finally, we prove that the problem of determining the mixed metric dimension of a graph is NP-hard in the general case.

      PubDate: 2017-08-03T09:30:26Z
      DOI: 10.1016/j.amc.2017.07.027
      Issue No: Vol. 314 (2017)
       
  • Non-similarity solution for Soret effect on natural convection over the
           vertical frustum of a cone in a nanofluid using new bivariate
           pseudo-spectral local linearisation method
    • Authors: S.S. Motsa; Ch. RamReddy; Ch. Venkata Rao
      Pages: 439 - 455
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): S.S. Motsa, Ch. RamReddy, Ch. Venkata Rao
      In this paper, we present a numerical investigation of a highly coupled and nonlinear system of partial differential equations (PDEs) that model natural convection over the vertical frustum of a cone in a nanofluid in the presence of Soret effect. The system of PDEs are solved using a new numerical approach named as bivariate pseudo-spectral local linearisation method (BPSLLM). The solution method uses the so-called quasilinearisation method to linearise the equations in a sequential manner and applies spectral collocation to discretise all independent variables. To test the accuracy of the proposed method, error analysis and convergence tests are conducted. Further, the accuracy validation is conducted through comparison with asymptotic series solutions for limiting cases of small and large parameters. In order to unravel the interesting features of the problem, the effects of the physical parameters on skin-friction, heat, regular mass and nanoparticle mass transfer characteristics along the vertical frustum of a cone are given and the salient features are discussed.

      PubDate: 2017-08-03T09:30:26Z
      DOI: 10.1016/j.amc.2017.07.001
      Issue No: Vol. 314 (2017)
       
  • Study of predictor corrector block method via multiple shooting to Blasius
           and Sakiadis flow
    • Authors: Zanariah Abdul Majid; Phang Pei See
      Pages: 469 - 483
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Zanariah Abdul Majid, Phang Pei See
      In this paper, a predictor corrector two-point block method is proposed to solve the well-know Blasius and Sakiadis flow numerically. The Blasius and Sakiadis flow will be modeled by a third order boundary value problem. The main motivation of this study is to provide a new method that can solve the higher order BVP directly without reducing it to a system of first order equation. Two approximate solutions will be obtained simultaneously in a single step by using predictor corrector two-point block method able to solve the third order boundary value problem directly. The proposed direct predictor corrector two-point block method will be adapted with multiple shooting techniques via a three-step iterative method. The advantage of the proposed code is that the multiple shooting will converge faster than the shooting method that has been implemented in other software. The developed code will automatically choose the guessing values in order to solve the given problems. Some numerical results are presented and a comparison to the existing methods has been included to show the performance of the proposed method for solving Blasius and Sakiadis flow.

      PubDate: 2017-08-03T09:30:26Z
      DOI: 10.1016/j.amc.2017.06.038
      Issue No: Vol. 314 (2017)
       
  • A family of non-uniform subdivision schemes with variable parameters for
           curve design
    • Authors: Mei-e Fang; Byeongseon Jeong; Jungho Yoon
      Pages: 1 - 11
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Mei-e Fang, Byeongseon Jeong, Jungho Yoon
      In this paper, we present non-uniform subdivision schemes with variable parameter sequences. A locally different tension parameter is set at each edge of the initial control polygon to control locally the shape of the resulting curve such that the scheme becomes non-uniform. Due to the variable parameters, the scheme can reproduce locally different analytic curves such as conics, Lissajous, trigonometric and catenary curves. Hence blending curves including such analytic components can be successfully generated. We discuss the convergence and smoothness of the proposed non-uniform schemes and present some numerical results to demonstrate their advantages in geometric modeling. Furthermore, as an application, we propose a chamfering algorithm which can be used in designing automobile and mechanical products.

      PubDate: 2017-06-02T07:13:23Z
      DOI: 10.1016/j.amc.2017.05.063
      Issue No: Vol. 313 (2017)
       
  • High order Runge–Kutta methods for impulsive delay differential
           equations
    • Authors: Gui-Lai Zhang
      Pages: 12 - 23
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Gui-Lai Zhang
      The purpose of this paper is to obtain high order Runge–Kutta methods for nonlinear impulsive delay differential equations (IDDEs). In order to achieve the purpose, continuity and smoothness of the exact solutions of IDDEs are analyzed. And then the discontinuous points and non-smooth points are chosen as a part of the nodes of the Runge–Kutta methods. Furthermore, it is proved that the pth order Runge–Kutta method for IDDEs is also convergent of order p. And some simple numerical examples are given to demonstrate the theoretical results.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.05.054
      Issue No: Vol. 313 (2017)
       
  • Conserved quantities for Hamiltonian systems on time scales
    • Authors: Chuan-Jing Song; Yi Zhang
      Pages: 24 - 36
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Chuan-Jing Song, Yi Zhang
      Conserved quantities for Hamiltonian systems on time scales with nabla derivatives and delta derivatives are presented. First, Hamilton principle on time scales with nabla derivatives is established and Hamilton canonical equation with nabla derivatives is obtained. Second, Noether identity and Noether theorem for Hamiltonian systems with nabla derivatives are achieved. Third, Hamilton canonical equation with delta derivatives, Noether identity and Noether theorem for Hamiltonian systems with delta derivatives are gotten through duality principle on the basis of the corresponding results with nabla derivatives. Fourth, some special cases of Noether identity and Noether theorem are given. And finally, two examples are devoted to illustrate the methods and results.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.05.074
      Issue No: Vol. 313 (2017)
       
  • Exponential and fixed-time synchronization of Cohen–Grossberg neural
           networks with time-varying delays and reaction-diffusion terms
    • Authors: Ruoxia Li; Jinde Cao; Ahmad Alsaedi; Fuad Alsaadi
      Pages: 37 - 51
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Ruoxia Li, Jinde Cao, Ahmad Alsaedi, Fuad Alsaadi
      This paper is devoted to the global exponential and fixed-time synchronization of delayed reaction-diffusion Cohen–Grossberg neural networks. Adaptive controllers are designed such that the addressed system can realize global exponential synchronization goal under the framework of inequality techniques, Lyapunov method as well as some suitable assumptions. Furthermore, as corollaries, the corresponding conclusion is provided to ensure the delayed Cohen–Grossberg neural networks without reaction-diffusion term can reach fixed-time synchronization goal. In addition, the settling time of fixed-time synchronization can be adjusted to desired values regardless of initial conditions, which is more reasonable. Finally, two numerical examples and its simulations are given to show the effectiveness of the obtained results.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.05.073
      Issue No: Vol. 313 (2017)
       
  • An asymptotic expansion for a class of biorthogonal polynomials with
           respect to a measure on the unit circle
    • Authors: J. Borrego-Morell; F.R. Rafaeli
      Pages: 52 - 73
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): J. Borrego-Morell, F.R. Rafaeli
      We consider the system of biorthogonal polynomials {Pn, Qn } n ≥ 0 with respect to a complex valued measure supported on the unit circle and give a uniform compound asymptotic expansion formula consisting of the sum of two inverse factorial series, giving the explicit expression of the terms and including error bounds. As a consequence we prove that the set of accumulation points of the zeros these polynomials is included in the unit circle. Some numerical experiments are included.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.05.070
      Issue No: Vol. 313 (2017)
       
  • Selective harvesting of two competing fish species in the presence of
           toxicity with time delay
    • Authors: D. Pal; G.P. Samanta; G.S. Mahapatra
      Pages: 74 - 93
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): D. Pal, G.P. Samanta, G.S. Mahapatra
      In this paper, we have considered a two competing fish species with the delay due to gestation, each of which obeys the law of logistic growth and releases a substance toxic to the other. We also consider the selective harvesting of fishes above a certain age or size by incorporating a time delay in the harvesting term. The dynamical behavior of the exploited system is examined in the presence and absence of delay. Boundedness, local and global stabilities are addressed. The possibility of the existence of a dynamic equilibrium and the optimal harvesting policy is studied in the absence of delay. It is shown that the time delay can cause a stable equilibrium to become unstable and even a switching of stabilities. Extensive numerical simulations are performed using analytical results for a hypothetical set of parameter values.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.05.069
      Issue No: Vol. 313 (2017)
       
  • Parameter Switching Synchronization
    • Authors: Marius-F. Danca; Nikolay Kuznetsov
      Pages: 94 - 102
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Marius-F. Danca, Nikolay Kuznetsov
      In this paper we show how the Parameter Switching algorithm, utilized initially to approximate attractors of a general class of nonlinear dynamical systems, can be utilized also as a synchronization-induced method. Two illustrative examples are considered: the Lorenz system and the Rabinovich–Fabrikant system.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.05.075
      Issue No: Vol. 313 (2017)
       
  • Optimal investment–consumption strategy with liability and regime
           switching model under Value-at-Risk constraint
    • Authors: Fengxia Hu; Rongming Wang
      Pages: 103 - 118
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Fengxia Hu, Rongming Wang
      This paper considers the optimal investment–consumption problem with liability subject to a maximum Value-at-Risk (denoted by MVaR) constraint. The model also contains regime-switching market modes, whose states are interpreted as the states of the economy. In each state of economy state, we constrain a VaR value for the portfolio in a short time duration, and MVaR is defined as the maximum value of the VaRs in all economy states. We suppose that both the price dynamics of the risky asset and the liability value process are governed by a Markov-modulated geometric Brownian motion. With the objective of maximizing the discounted utility of consumption, we obtain a system of HJB equations corresponding to the economy states by using the dynamic programming principle. Then, by adopting the techniques of Chen et al. (2010), we get explicit expressions of value functions. Moreover, with the help of Lagrange multiplier method, we derive the optimal investment and the optimal consumption. Finally, a numerical example is investigated, and the effects of many parameters on the optimal investment, on the optimal consumption and on VaR value are studied. Furthermore, we also explore how VaR value affects the optimal investment and the optimal consumption.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.04.034
      Issue No: Vol. 313 (2017)
       
  • Quenching for a parabolic equation with variable coefficient modeling MEMS
           technology
    • Authors: Jun Zhou
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Jun Zhou
      This paper deals with a parabolic equation with variable coefficient modeling MEMS technology, and we will prove the solution of the problem quenches in finite time in the case without stationary solutions. Numerical simulations are presented to illustrate the theoretical results.

      PubDate: 2017-07-12T04:03:45Z
       
 
 
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