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  Subjects -> COMPUTER SCIENCE (Total: 2052 journals)
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COMPUTER SCIENCE (1194 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: 20)
Abakós     Open Access   (Followers: 4)
ACM Computing Surveys     Hybrid Journal   (Followers: 27)
ACM Journal on Computing and Cultural Heritage     Hybrid Journal   (Followers: 8)
ACM Journal on Emerging Technologies in Computing Systems     Hybrid Journal   (Followers: 12)
ACM Transactions on Accessible Computing (TACCESS)     Hybrid Journal   (Followers: 3)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 15)
ACM Transactions on Applied Perception (TAP)     Hybrid Journal   (Followers: 5)
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: 12)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
ACM Transactions on Computer Systems (TOCS)     Hybrid Journal   (Followers: 17)
ACM Transactions on Computer-Human Interaction     Hybrid Journal   (Followers: 15)
ACM Transactions on Computing Education (TOCE)     Hybrid Journal   (Followers: 5)
ACM Transactions on Design Automation of Electronic Systems (TODAES)     Hybrid Journal   (Followers: 4)
ACM Transactions on Economics and Computation     Hybrid Journal  
ACM Transactions on Embedded Computing Systems (TECS)     Hybrid Journal   (Followers: 3)
ACM Transactions on Information Systems (TOIS)     Hybrid Journal   (Followers: 19)
ACM Transactions on Intelligent Systems and Technology (TIST)     Hybrid Journal   (Followers: 7)
ACM Transactions on Interactive Intelligent Systems (TiiS)     Hybrid Journal   (Followers: 3)
ACM Transactions on Multimedia Computing, Communications, and Applications (TOMCCAP)     Hybrid Journal   (Followers: 9)
ACM Transactions on Reconfigurable Technology and Systems (TRETS)     Hybrid Journal   (Followers: 6)
ACM Transactions on Sensor Networks (TOSN)     Hybrid Journal   (Followers: 8)
ACM Transactions on Speech and Language Processing (TSLP)     Hybrid Journal   (Followers: 9)
ACM Transactions on Storage     Hybrid Journal  
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 29)
Acta Automatica Sinica     Full-text available via subscription   (Followers: 2)
Acta Informatica Malaysia     Open Access  
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: 28)
Advanced Science Letters     Full-text available via subscription   (Followers: 10)
Advances in Adaptive Data Analysis     Hybrid Journal   (Followers: 7)
Advances in Artificial Intelligence     Open Access   (Followers: 15)
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: 19)
Advances in Computer Engineering     Open Access   (Followers: 4)
Advances in Computer Science : an International Journal     Open Access   (Followers: 15)
Advances in Computing     Open Access   (Followers: 2)
Advances in Data Analysis and Classification     Hybrid Journal   (Followers: 51)
Advances in Engineering Software     Hybrid Journal   (Followers: 27)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 13)
Advances in Human Factors/Ergonomics     Full-text available via subscription   (Followers: 22)
Advances in Human-Computer Interaction     Open Access   (Followers: 20)
Advances in Materials Sciences     Open Access   (Followers: 14)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in Parallel Computing     Full-text available via subscription   (Followers: 6)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
Advances in Remote Sensing     Open Access   (Followers: 44)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Advances in Technology Innovation     Open Access   (Followers: 5)
AEU - International Journal of Electronics and Communications     Hybrid Journal   (Followers: 8)
African Journal of Information and Communication     Open Access   (Followers: 8)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
AI EDAM     Hybrid Journal  
Air, Soil & Water Research     Open Access   (Followers: 11)
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: 5)
American Journal of Computational Mathematics     Open Access   (Followers: 4)
American Journal of Information Systems     Open Access   (Followers: 5)
American Journal of Sensor Technology     Open Access   (Followers: 4)
Anais da Academia Brasileira de Ciências     Open Access   (Followers: 2)
Analog Integrated Circuits and Signal Processing     Hybrid Journal   (Followers: 7)
Analysis in Theory and Applications     Hybrid Journal   (Followers: 1)
Animation Practice, Process & Production     Hybrid Journal   (Followers: 5)
Annals of Combinatorics     Hybrid Journal   (Followers: 4)
Annals of Data Science     Hybrid Journal   (Followers: 11)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 12)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of Software Engineering     Hybrid Journal   (Followers: 13)
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: 1)
Applied Artificial Intelligence: An International Journal     Hybrid Journal   (Followers: 12)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 11)
Applied Computer Systems     Open Access   (Followers: 2)
Applied Informatics     Open Access  
Applied Mathematics and Computation     Hybrid Journal   (Followers: 33)
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)
Applied System Innovation     Open Access  
Architectural Theory Review     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives and Museum Informatics     Hybrid Journal   (Followers: 146)
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 5)
arq: Architectural Research Quarterly     Hybrid Journal   (Followers: 7)
Artifact     Hybrid Journal   (Followers: 2)
Artificial Life     Hybrid Journal   (Followers: 7)
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   (Followers: 1)
Automatic Control and Computer Sciences     Hybrid Journal   (Followers: 4)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Automatica     Hybrid Journal   (Followers: 11)
Automation in Construction     Hybrid Journal   (Followers: 6)
Autonomous Mental Development, IEEE Transactions on     Hybrid Journal   (Followers: 9)
Basin Research     Hybrid Journal   (Followers: 5)
Behaviour & Information Technology     Hybrid Journal   (Followers: 52)
Big Data and Cognitive Computing     Open Access   (Followers: 2)
Biodiversity Information Science and Standards     Open Access  
Bioinformatics     Hybrid Journal   (Followers: 294)
Biomedical Engineering     Hybrid Journal   (Followers: 15)
Biomedical Engineering and Computational Biology     Open Access   (Followers: 13)
Biomedical Engineering, IEEE Reviews in     Full-text available via subscription   (Followers: 21)
Biomedical Engineering, IEEE Transactions on     Hybrid Journal   (Followers: 37)
Briefings in Bioinformatics     Hybrid Journal   (Followers: 46)
British Journal of Educational Technology     Hybrid Journal   (Followers: 144)
Broadcasting, IEEE Transactions on     Hybrid Journal   (Followers: 12)
c't Magazin fuer Computertechnik     Full-text available via subscription   (Followers: 1)
CALCOLO     Hybrid Journal  
Calphad     Hybrid Journal   (Followers: 2)
Canadian Journal of Electrical and Computer Engineering     Full-text available via subscription   (Followers: 15)
Capturing Intelligence     Full-text available via subscription  
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 2)
Cell Communication and Signaling     Open Access   (Followers: 2)
Central European Journal of Computer Science     Hybrid Journal   (Followers: 5)
CERN IdeaSquare Journal of Experimental Innovation     Open Access   (Followers: 3)
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chemometrics and Intelligent Laboratory Systems     Hybrid Journal   (Followers: 14)
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: 11)
Circuits and Systems     Open Access   (Followers: 15)
Clean Air Journal     Full-text available via subscription   (Followers: 1)
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  
Combinatorics, Probability and Computing     Hybrid Journal   (Followers: 4)
Combustion Theory and Modelling     Hybrid Journal   (Followers: 14)
Communication Methods and Measures     Hybrid Journal   (Followers: 12)
Communication Theory     Hybrid Journal   (Followers: 21)
Communications Engineer     Hybrid Journal   (Followers: 1)
Communications in Algebra     Hybrid Journal   (Followers: 3)
Communications in Computational Physics     Full-text available via subscription   (Followers: 2)
Communications in Partial Differential Equations     Hybrid Journal   (Followers: 3)
Communications of the ACM     Full-text available via subscription   (Followers: 52)
Communications of the Association for Information Systems     Open Access   (Followers: 16)
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering     Hybrid Journal   (Followers: 3)
Complex & Intelligent Systems     Open Access   (Followers: 1)
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: 8)
Computación y Sistemas     Open Access  
Computation     Open Access   (Followers: 1)
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: 11)
Computational Chemistry     Open Access   (Followers: 2)
Computational Cognitive Science     Open Access   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Condensed Matter     Open Access  
Computational Ecology and Software     Open Access   (Followers: 9)
Computational Economics     Hybrid Journal   (Followers: 9)
Computational Geosciences     Hybrid Journal   (Followers: 16)
Computational Linguistics     Open Access   (Followers: 23)
Computational Management Science     Hybrid Journal  
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 5)
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: 14)
Computational Statistics & Data Analysis     Hybrid Journal   (Followers: 30)
Computer     Full-text available via subscription   (Followers: 94)
Computer Aided Surgery     Open Access   (Followers: 6)
Computer Applications in Engineering Education     Hybrid Journal   (Followers: 8)
Computer Communications     Hybrid Journal   (Followers: 16)
Computer Engineering and Applications Journal     Open Access   (Followers: 5)
Computer Journal     Hybrid Journal   (Followers: 9)
Computer Methods in Applied Mechanics and Engineering     Hybrid Journal   (Followers: 23)
Computer Methods in Biomechanics and Biomedical Engineering     Hybrid Journal   (Followers: 12)
Computer Methods in the Geosciences     Full-text available via subscription   (Followers: 2)

        1 2 3 4 5 6 | Last

Journal Cover Applied Mathematics and Computation
  Journal Prestige (SJR): 1.008
  Citation Impact (citeScore): 100
  Number of Followers: 33  
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0096-3003
   Published by Elsevier Homepage  [3162 journals]
  • An oligopoly model with best response and imitation rules
    • Authors: Lorenzo Cerboni Baiardi; Ahmad K. Naimzada
      Pages: 47 - 61
      Abstract: Publication date: 1 November 2018
      Source:Applied Mathematics and Computation, Volume 336
      Author(s): Lorenzo Cerboni Baiardi, Ahmad K. Naimzada
      Imitation-based behaviors are considered in economics with significant contributions in reference to homogeneous populations where players are characterized by the same decisional processes (see for example [42,48]). However, the presence of imitation behaviors is detected in experimental oligopolies coexisting with rational-like rules. This motivates us to consider an heterogeneous population where best responders and imitators coexist and compete in a deterministic oligopoly framework. The model we formulate is characterized by two stationary states, specifically the Cournot–Nash equilibrium and a further production level at which best responders are inactive and imitators produce at the marked clearing price. The heterogeneities among players give to the model a nonlinear structure, influence the stability properties of the Cournot–Nash equilibrium and give rise to complex dynamic scenarios. We found that the imitators’ relative fraction have an ambiguous role in determining the stability properties of the Cournot–Nash equilibrium and, provided intermediate values of the population size, its variations may cause the occurrence of both flip and Neimark–Sacker bifurcations. Chaotic dynamics and coexistent attractors, characterized by not connected basins, may also be observed. We finally note that certain dynamic regimes, described by the model, are provided by analogous features as those characterizing experimental outcomes and several experiments can be reproduced with different parameters’ sets.

      PubDate: 2018-05-28T11:59:38Z
      DOI: 10.1016/j.cnsns.2017.05.010
      Issue No: Vol. 58 (2018)
       
  • Block preconditioning strategies for time–space fractional diffusion
           equations
    • Authors: Hao Chen; Wen Lv; Tongtong Zhang
      Pages: 1 - 14
      Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Hao Chen, Tongtong Zhang, Wen Lv
      We present a comparison of four block preconditioning strategies for linear systems arising in the numerical discretization of time–space fractional diffusion equations. In contrast to the traditional time-marching procedure, the discretization via finite difference is considered in a fully coupled time–space framework. The resulting fully coupled discretized linear system is a summation of two Kronecker products. The four preconditioning methods are based on block diagonal, banded block triangular and Kronecker product splittings of the coefficient matrix. All preconditioning approaches use structure preserving methods to approximate blocks of matrix formed from the spatial fractional diffusion operator. Numerical experiments show the efficiency of the four block preconditioners, and in particular of the banded block triangular preconditioner that usually outperforms the other three when the order of the time fractional derivative is close to one.

      PubDate: 2018-05-31T12:06:12Z
      DOI: 10.1016/j.jcp.2018.01.034
      Issue No: Vol. 360 (2018)
       
  • Optimal control of linear systems with balanced reduced-order models:
           Perturbation approximations
    • Authors: Adnan Daraghmeh; Naji Qatanani; Carsten Hartmann
      Pages: 119 - 136
      Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Adnan Daraghmeh, Naji Qatanani, Carsten Hartmann
      In this article we study balanced model reduction of linear systems for feedback control problems. Specifically, we focus on linear quadratic regulators with collocated inputs and outputs, and we consider perturbative approximations of the dynamics in the case that the Hankel singular values corresponding to the hardly controllable and observable states go to zero. To this end, we consider different perturbative scenarios that depend on how the negligible states scale with the small Hankel singular values, and derive the corresponding limit systems as well as approximate expressions for the optimal feedback controls. Our approach that is based on a formal asymptotic expansion of an algebraic Riccati equations associated with the Pontryagin maximum principle and that is validated numerically shows that model reduction based on open-loop balancing can also give good closed-loop performance.

      PubDate: 2018-06-03T12:12:15Z
      DOI: 10.1016/j.amc.2018.04.065
      Issue No: Vol. 337 (2018)
       
  • The characteristic polynomial of generalized lollipop graphs
    • Authors: Fernando Tura
      Pages: 137 - 143
      Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Fernando Tura
      A generalized lollipop graph is formed by connecting a tree and a threshold graph with an edge. Motivated by a sequence of algorithms that compute the characteristic polynomial of some classes of graphs, we present an algorithm for computing the characteristic polynomial of generalized lollipop graph with relation to signless Laplacian matrix Q . As application, we show how to construct graphs having Q -cospectral mate.

      PubDate: 2018-06-09T07:04:50Z
      DOI: 10.1016/j.amc.2018.05.002
      Issue No: Vol. 337 (2018)
       
  • Convergence and stability of compact finite difference method for
           nonlinear time fractional reaction–diffusion equations with delay
    • Authors: Lili Li; Boya Zhou; Xiaoli Chen; Zhiyong Wang
      Pages: 144 - 152
      Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Lili Li, Boya Zhou, Xiaoli Chen, Zhiyong Wang
      This paper is concerned with numerical solutions of nonlinear time fractional reaction–diffusion equations with time delay. A linearized compact finite difference scheme is proposed to solve the equations. In terms of a new developed fractional Gronwall type inequality, convergence and stability of the proposed scheme are obtained. Numerical experiments are given to illustrate the theoretical results.

      PubDate: 2018-06-09T07:04:50Z
      DOI: 10.1016/j.amc.2018.04.057
      Issue No: Vol. 337 (2018)
       
  • On square integrable solutions of a fractional differential equation
    • Authors: Ekin Uğurlu; Dumitru Baleanu; Kenan Taş
      Pages: 153 - 157
      Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Ekin Uğurlu, Dumitru Baleanu, Kenan Taş
      In this paper we construct the Weyl–Titchmarsh theory for the fractional Sturm–Liouville equation. For this purpose we used the Caputo and Riemann–Liouville fractional operators having the order is between zero and one.

      PubDate: 2018-06-09T07:04:50Z
      DOI: 10.1016/j.amc.2018.05.014
      Issue No: Vol. 337 (2018)
       
  • Robust H∞ sliding mode observer design for a class of Takagi–Sugeno
           fuzzy descriptor systems with time-varying delay
    • Authors: Rongchang Li; Qingling Zhang
      Pages: 158 - 178
      Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Rongchang Li, Qingling Zhang
      This paper focuses on the problem of robust H∞ sliding mode observer (SMO) design for a class of Takagi–Sugeno (T–S) fuzzy descriptor systems with time-varying delay. A SMO is designed by taking the control input and the measured output into account. Then a novel integral-type sliding surface, which involves the SMO gain matrix, is constructed for the error system. By using an appropriate Lyapunov–Krasovskii functional, a delay-dependent sufficient condition is established in terms of linear matrix inequality (LMI), which guarantees the sliding mode dynamic to be robustly admissible with H∞ performance and determines the SMO gain matrix. Moreover, a sliding mode control (SMC) law is synthesized such that the reachability can be ensured. Finally, simulations are presented to show the effectiveness of our results.

      PubDate: 2018-06-09T07:04:50Z
      DOI: 10.1016/j.amc.2018.05.008
      Issue No: Vol. 337 (2018)
       
  • A numerical method for junctions in networks of shallow-water channels
    • Authors: Francesca Bellamoli; Lucas O. Müller; Eleuterio F. Toro
      Pages: 190 - 213
      Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Francesca Bellamoli, Lucas O. Müller, Eleuterio F. Toro
      There is growing interest in developing mathematical models and appropriate numerical methods for problems involving networks formed by, essentially, one-dimensional (1D) domains joined by junctions. Examples include hyperbolic equations in networks of gas tubes, water channels and vessel networks for blood and lymph transport in the human circulatory system. A key point in designing numerical methods for such applications is the treatment of junctions, i.e. points at which two or more 1D domains converge and where the flow exhibits multidimensional behaviour. This paper focuses on the design of methods for networks of water channels. Our methods adopt the finite volume approach to make full use of the two-dimensional shallow water equations on the true physical domain, locally at junctions, while solving the usual one-dimensional shallow water equations away from the junctions. In addition to mass conservation, our methods enforce conservation of momentum at junctions; the latter seems to be the missing element in methods currently available. Apart from simplicity and robustness, the salient feature of the proposed methods is their ability to successfully deal with transcritical and supercritical flows at junctions, a property not enjoyed by existing published methodologies. Systematic assessment of the proposed methods for a variety of flow configurations is carried out. The methods are directly applicable to other systems, provided the multidimensional versions of the 1D equations are available.

      PubDate: 2018-06-09T07:04:50Z
      DOI: 10.1016/j.amc.2018.05.034
      Issue No: Vol. 337 (2018)
       
  • Global analysis of age-structured multi-stage epidemic models for
           infectious diseases
    • Authors: Suxia Zhang; Hongbin Guo
      Pages: 214 - 233
      Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Suxia Zhang, Hongbin Guo
      We formulate a multi-stage SEIR model for infectious diseases with continuous age structure for each successive infectious stage during a long infective period. The model can describe disease progression through multiple infectious stages as in the case of HIV, hepatitis B and hepatitis C. Mathematical analysis shows that the global dynamics are completely determined by the basic reproductive number R 0 . If R 0 ≤ 1 , the disease-free equilibrium is globally asymptotically stable and the disease dies out. If R 0 > 1 , a unique endemic equilibrium is globally asymptotically stable, and the disease persists at the endemic equilibrium. The proof of global stability of endemic equilibria utilizes a Lyapunov functional. Numerical simulations are illustrated and model generalization is also discussed.

      PubDate: 2018-06-09T07:04:50Z
      DOI: 10.1016/j.amc.2018.05.020
      Issue No: Vol. 337 (2018)
       
  • The decoupled Crank–Nicolson/Adams–Bashforth scheme for the Boussinesq
           equations with nonsmooth initial data
    • Authors: Tong Zhang; JiaoJiao Jin; Tao Jiang
      Pages: 234 - 266
      Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Tong Zhang, JiaoJiao Jin, Tao Jiang
      In this paper, the decoupled Crank–Nicolson/Adams–Bashforth scheme for the Boussinesq equations is considered with nonsmooth initial data. Our numerical scheme is based on the implicit Crank–Nicolson scheme for the linear terms and the explicit Adams–Bashforth scheme for the nonlinear terms for the temporal discretization, standard Galerkin finite element method is used to the spatial discretization. In order to improve the computational efficiency, the decoupled method is introduced, as a consequence the original problem is split into two linear subproblems, and these subproblems can be solved in parallel. We verify that our numerical scheme is almost unconditionally stable for the nonsmooth initial data (u 0, θ 0) with the divergence-free condition. Furthermore, under some stability conditions, we show that the error estimates for velocity and temperature in L 2 norm is of the order O ( h 2 + Δ t 3 2 ) , in H 1 norm is of the order O ( h 2 + Δ t ) , and the error estimate for pressure in a certain norm is of the order O ( h 2 + Δ t ) . Finally, some numerical examples are provided to verify the established theoretical findings and test the performances of the developed numerical scheme.

      PubDate: 2018-06-09T07:04:50Z
      DOI: 10.1016/j.amc.2018.04.069
      Issue No: Vol. 337 (2018)
       
  • Multiscale numerical algorithms for elastic wave equations with rapidly
           oscillating coefficients
    • Authors: Qiao-li Dong; Li-qun Cao; Xin Wang; Ji-zu Huang
      Pages: 16 - 35
      Abstract: Publication date: 1 November 2018
      Source:Applied Mathematics and Computation, Volume 336
      Author(s): Qiao-li Dong, Li-qun Cao, Xin Wang, Ji-zu Huang
      This paper reports a multiscale analysis and numerical algorithms for the elastic wave equations with rapidly oscillating coefficients. We mainly focus on the first-order and the second-order multiscale asymptotic expansions for the wave equations, which is proved to enjoy an explicit convergence rate. In our method, the homogenized equations are discretized by the finite element method in space and a symplectic geometric scheme in time. The multiscale solutions are then obtained efficiently by the standard multisclae asymptotic expansion framework. Several numerical simulations are carried out to validate the predicted convergence results.

      PubDate: 2018-05-28T11:59:38Z
      DOI: 10.1016/j.amc.2018.04.073
      Issue No: Vol. 336 (2018)
       
  • Stochastic fractional evolution equations with fractional brownian motion
           and infinite delay
    • Authors: Liping Xu; Zhi Li
      Pages: 36 - 46
      Abstract: Publication date: 1 November 2018
      Source:Applied Mathematics and Computation, Volume 336
      Author(s): Liping Xu, Zhi Li
      In this paper, we consider a class of stochastic fractional evolution equations with infinite delay and a fractional Brownian motion in a Hilbert space. By the stochastic analysis technique, we establish the existence and uniqueness of mild solutions for these equations under non-Lipschitz condition with Lipschitz conditions being considered as a special case. An example is provided to illustrate the theory.

      PubDate: 2018-05-28T11:59:38Z
      DOI: 10.1016/j.amc.2018.04.060
      Issue No: Vol. 336 (2018)
       
  • Distributed containment control for asynchronous discrete-time
           second-order multi-agent systems with switching topologies
    • Authors: Jinliang Shao; Lei Shi; Mengtao Cao; Hong Xia
      Pages: 47 - 59
      Abstract: Publication date: 1 November 2018
      Source:Applied Mathematics and Computation, Volume 336
      Author(s): Jinliang Shao, Lei Shi, Mengtao Cao, Hong Xia
      A distributed containment control problem for asynchronous discrete-time second-order multi-agent systems with switching topologies is studied in this paper, where asynchrony means that each agent only receives the state information of its neighbors at certain discrete time instants determined by its own clock that is independent of other agents. Based on a novel containment control protocol, the asynchronous system is transformed into a matrix-vector form, which implies that the asynchronous containment control problem can be converted to a convergence problem of the product of infinite time-varying nonnegative matrices whose all row sums are less than or equal to 1. Then the relations between switching communication topologies and the composite of binary relation are exploited to solve this convergence problem. Finally, we obtain a sufficient condition that all the followers can enter and keep moving in the convex hull formed by the leaders if the union of the effective communication topologies across any time intervals with some given length contains a spanning forest rooted at the leaders. Moreover, some simulation examples are presented for illustration.

      PubDate: 2018-05-28T11:59:38Z
      DOI: 10.1016/j.amc.2018.04.067
      Issue No: Vol. 336 (2018)
       
  • Interval computing periodic orbits of maps using a piecewise approach
    • Authors: Erivelton G. Nepomuceno; Heitor M. Rodrigues Junior; Samir A.M. Martins; Matjaž Perc; Mitja Slavinec
      Pages: 67 - 75
      Abstract: Publication date: 1 November 2018
      Source:Applied Mathematics and Computation, Volume 336
      Author(s): Erivelton G. Nepomuceno, Heitor M. Rodrigues Junior, Samir A.M. Martins, Matjaž Perc, Mitja Slavinec
      Interval arithmetic applied to simulation of dynamical systems has attracted a great deal of interest in recent years. Much of this research has been carried out in the calculation of fixed points or low-period windows for nonlinear discrete maps. This study proposes a novel interval computation based on a piecewise method to calculate periodic orbits for the logistic map. Using the cobweb plot, three rounding situations have been applied to a correct outward rounding, as required by interval arithmetic. The proposed method is compared with results in the literature and with the results obtained by means of the Matlab toolbox Intlab. The comparison is accomplished for nine case studies using the logistic map. Numerical results explicitly indicate that the proposed method produces intervals that are substantially narrower than those obtained with the traditional techniques.

      PubDate: 2018-05-28T11:59:38Z
      DOI: 10.1016/j.amc.2018.04.063
      Issue No: Vol. 336 (2018)
       
  • An efficient technique to find semi-analytical solutions for higher order
           multi-point boundary value problems
    • Authors: S. Kheybari; M.T. Darvishi
      Pages: 76 - 93
      Abstract: Publication date: 1 November 2018
      Source:Applied Mathematics and Computation, Volume 336
      Author(s): S. Kheybari, M.T. Darvishi
      A new semi-analytical algorithm is presented to solve general multi-point boundary value problems. This method can be applied on nth order linear, nonlinear, singular and nonsingular multi-point boundary value problems. Mathematical base of the method is presented; convergence of the method is proved. Also, the algorithm is applied to solve multi-point boundary value problems including nonlinear sixth-order, nonlinear singular second-order five-point boundary value problems, and a singularly perturbed boundary value problem. Comparison results show that the new method works more accurate than the other methods.

      PubDate: 2018-05-28T11:59:38Z
      DOI: 10.1016/j.amc.2018.04.074
      Issue No: Vol. 336 (2018)
       
  • On the edge-Szeged index of unicyclic graphs with given diameter
    • Authors: Guangfu Wang; Shuchao Li; Dongchao Qi; Huihui Zhang
      Pages: 94 - 106
      Abstract: Publication date: 1 November 2018
      Source:Applied Mathematics and Computation, Volume 336
      Author(s): Guangfu Wang, Shuchao Li, Dongchao Qi, Huihui Zhang
      Given a connected graph G, the edge-Szeged index Sze (G) is defined as S z e ( G ) = ∑ e = u v ∈ E m u ( e ) m v ( e ) , where mu (e) and mv (e) are, respectively, the number of edges of G lying closer to vertex u than to vertex v and the number of edges of G lying closer to vertex v than to vertex u. In this paper, some extremal problems on the edge-Szeged index of unicyclic graphs are considered. All the n-vertex unicyclic graphs with a given diameter having the minimum edge-Szeged index are identified. Using a unified approach we identify the n-vertex unicyclic graphs with the minimum, second minimum, third minimum and fourth minimum edge-Szeged indices.

      PubDate: 2018-05-28T11:59:38Z
      DOI: 10.1016/j.amc.2018.04.077
      Issue No: Vol. 336 (2018)
       
  • Nonlinear problems with blow-up solutions: Numerical integration based on
           differential and nonlocal transformations, and differential constraints
    • Authors: Andrei D. Polyanin; Inna K. Shingareva
      Pages: 107 - 137
      Abstract: Publication date: 1 November 2018
      Source:Applied Mathematics and Computation, Volume 336
      Author(s): Andrei D. Polyanin, Inna K. Shingareva
      Several new methods of numerical integration of Cauchy problems with blow-up solutions for nonlinear ordinary differential equations of the first- and second-order are described. Solutions of such problems have singularities whose positions are unknown a priori (for this reason, the standard numerical methods for solving problems with blow-up solutions can lead to significant errors). The first proposed method is based on the transition to an equivalent system of equations by introducing a new independent variable chosen as the first derivative, t = y x ′ , where x and y are independent and dependent variables in the original equation. The second method is based on introducing a new auxiliary nonlocal variable of the form ξ = ∫ x 0 x g ( x , y , y x ′ ) d x with the subsequent transformation to the Cauchy problem for the corresponding system of ODEs. The third method is based on adding to the original equation of a differential constraint, which is an auxiliary ODE connecting the given variables and a new variable. The proposed methods lead to problems whose solutions are represented in parametric form and do not have blowing-up singular points; therefore the transformed problems admit the application of standard fixed-step numerical methods. The efficiency of these methods is illustrated by solving a number of test problems that admit an exact analytical solution. It is shown that: (i) the methods based on nonlocal transformations of a special kind are more efficient than several other methods, namely, the method based on the hodograph transformation, the method of the arc-length transformation, and the method based on the differential transformation, and (ii) among the proposed methods, the most general method is the method based on the differential constraints. Some examples of nonclassical blow-up problems are considered, in which the right-hand side of equations has fixed singular points or zeros. Simple theoretical estimates are derived for the critical value of an independent variable bounding the domain of existence of the solution. It is shown by numerical integration that the first and the second Painlevé equations with suitable initial conditions have non-monotonic blow-up solutions. It is demonstrated that the method based on a nonlocal transformation of the general form as well as the method based on the differential constraints admit generalizations to the nth-order ODEs and systems of coupled ODEs.

      PubDate: 2018-05-28T11:59:38Z
      DOI: 10.1016/j.amc.2018.04.071
      Issue No: Vol. 336 (2018)
       
  • Analog realization of fractional variable-type and -order iterative
           operator
    • Authors: Dominik Sierociuk; Michal Macias; Wiktor Malesza
      Pages: 138 - 147
      Abstract: Publication date: 1 November 2018
      Source:Applied Mathematics and Computation, Volume 336
      Author(s): Dominik Sierociuk, Michal Macias, Wiktor Malesza
      The aim of the paper is to give a method for modeling and practical realization of iterative fractional variable-type and -order difference operator. Based on already known serial switching scheme, it was unable to obtain practical realization of such an operator. Therefore, a new parallel switching scheme is introduced. The equivalence between proposed switching scheme and variable-type operator is proved as well. Using proposed method an analog realization of fractional variable-type and -order difference operator is presented and comparison of experimental and numerical results are given.

      PubDate: 2018-05-28T11:59:38Z
      DOI: 10.1016/j.amc.2018.04.047
      Issue No: Vol. 336 (2018)
       
  • Exploring diffusion strategies for mHealth promotion using evolutionary
           game model
    • Authors: Yi Chen; Shuai Ding; Handong Zheng; Youtao Zhang; Shanlin Yang
      Pages: 148 - 161
      Abstract: Publication date: 1 November 2018
      Source:Applied Mathematics and Computation, Volume 336
      Author(s): Yi Chen, Shuai Ding, Handong Zheng, Youtao Zhang, Shanlin Yang
      Mobile health (mHealth) is an emerging healthcare practice that provides public health information and medical care services using mobile communication devices, such as smartphones and tablet computers. Given the service convenience and the great potential in reducing medical expense, the promotion of mHealth has become an indispensable component of healthcare reform in China. While Chinese government has shown strong support in promoting mHealth, the behaviors of different participants in mHealth have not been well studied, which prevents its fast diffusion in China. In this paper, by analyzing the current status of mHealth in China, we leverage the evolutionary game theory to build a novel model to capture the behaviors of two key participants, e.g., hospitals and patients, in mHealth. We analyze the payoff matrix between hospitals and patients such that a replicator dynamic system can be built. We validate the proposed model with detailed simulations. Our observations benefit not only the mHealth participants but also the government policy makers.

      PubDate: 2018-05-28T11:59:38Z
      DOI: 10.1016/j.amc.2018.04.062
      Issue No: Vol. 336 (2018)
       
  • Strongly maximal intersection-complete neural codes on grids are convex
    • Authors: Robert Williams
      Pages: 162 - 175
      Abstract: Publication date: 1 November 2018
      Source:Applied Mathematics and Computation, Volume 336
      Author(s): Robert Williams
      The brain encodes spatial structure through a combinatorial code of neural activity. Experiments suggest such codes correspond to convex areas of the subject’s environment. We present an intrinsic condition that implies a neural code may correspond to a collection of convex sets and give a bound on the minimal dimension underlying such a realization.

      PubDate: 2018-05-28T11:59:38Z
      DOI: 10.1016/j.amc.2018.04.064
      Issue No: Vol. 336 (2018)
       
  • Global approximation theorems for the generalized Szàsz–Mirakjan type
           operators in exponential weight spaces
    • Authors: Vishnu Narayan Mishra; Ankita R. Devdhara; R.B. Gandhi
      Pages: 206 - 214
      Abstract: Publication date: 1 November 2018
      Source:Applied Mathematics and Computation, Volume 336
      Author(s): Vishnu Narayan Mishra, Ankita R. Devdhara, R.B. Gandhi
      In this paper, Investigation of global approximation of the generalized Szàsz–Mirakjan type operators in exponential weight spaces is discussed. The paper focuses on calculation of moments, direct results and inverse results for the saturated as well as non-saturated cases.

      PubDate: 2018-06-09T07:04:50Z
      DOI: 10.1016/j.amc.2018.04.042
      Issue No: Vol. 336 (2018)
       
  • Reduced-order observer design for a class of generalized Lipschitz
           nonlinear systems with time-varying delay
    • Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Yuxia Yang, Chong Lin, Bing Chen, Qing-Guo Wang
      This paper investigates the H ∞ reduced-order observer design problem for a class of nonlinear systems with interval time-varying delay which satisfies the quadratically inner-bounded condition and encompasses the family of Lipschitz systems. A novel reduced-order observer design methodology for nonlinear systems is proposed. By utilizing a newly extended reciprocal convexity inequality, free-weighting matrix technique, and quadratically inner-bounded condition, the less conservative existence conditions of the proposed nonlinear H ∞ observer are derived. The new sufficient conditions in terms of linear matrix inequalities (LMIs) guarantee asymptotic stability of the estimation error dynamics with a prescribed performance γ. Two numerical examples are given to illustrate the effectiveness of the proposed approach.

      PubDate: 2018-06-18T07:12:00Z
       
  • Numerical aspects of the nonstationary modified linearized Bregman
           algorithm
    • Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Alessandro Buccini, Yonggi Park, Lothar Reichel
      The solution of discrete ill-posed problems has been a subject of research for many years. Among the many methods described in the literature, the Bregman algorithm has attracted a great deal attention and been widely investigated. Recently, a nonstationary preconditioned version of this algorithm, referred to as the nonstationary modified linearized Bregman algorithm, was proposed. The aim of this paper is to discuss numerical aspects of this algorithm and to compare computed results with known theoretical properties. We also discuss the effect of several parameters required by the algorithm on the computed solution.

      PubDate: 2018-06-18T07:12:00Z
       
  • Renewal sums under mixtures of exponentials
    • Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Zhehao Zhang
      We start with applying two methods to derive formulas of a mixture of exponential process, i.e., a renewal process whose inter-arrival time follows a mixture of exponentials. Further, stochastic order properties are discussed when comparing this process to a Poisson process with the same expectation of inter-arrival times. Based on these properties, formulas and ordering properties are given for the non-discounted compound process as well as the discounted one. Explicit formulas for the density functions are also provided for both cases. Under the discounted compound case, several new results are derived for heavy-tailed distributions. Finally, the Laguerre series approximation is proposed and tested for various common actuarial indices, e.g., VaR, CTE and stop-loss premium.

      PubDate: 2018-06-18T07:12:00Z
       
  • Stability of Markovian jump stochastic parabolic Itô equations with
           generally uncertain transition rates
    • Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Caihong Zhang, Yonggui Kao, Binghua Kao, Tiezhu Zhang
      In this paper, the stability problem for delayed Markovian jump stochastic parabolic It o ^ equations (DMJSPIEs) subject to generally uncertain transition rates (GUTRs) is investigated via Lyapunov-Krasovskii functional and linear matrix inequality (LMI) method. In the model discussed, we suppose that only part of the transition rates of the jumping process are known, namely, some factors have been already available, some elements have been simply known with lower and upper bounds, and the rest of elements may have no useful information. Lastly, the applicability and effectiveness of the obtained results are illustrated through an example.

      PubDate: 2018-06-18T07:12:00Z
       
  • General decay synchronization of delayed BAM neural networks via nonlinear
           feedback control
    • Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Malika Sader, Abdujelil Abdurahman, Haijun Jiang
      This paper studies the general decay synchronization of a class of bidirectional associative memory neural networks with time-varying delays. First, a useful lemma which generalizes the classical exponential synchronization and polynomial synchronization is introduced. Then by using this lemma, some simple sufficient criteria ensuring the general decay synchronization of considered bidirectional associative memory neural networks are obtained via designing a novel nonlinear feedback controller and using some inequality techniques. Finally, two numerical examples are provided to demonstrate the feasibility of the established theoretical results. The results of this paper are general since the classical polynomial synchronization and exponential synchronization can be seen the special cases of general decay synchronization.

      PubDate: 2018-06-18T07:12:00Z
       
  • Symmetry properties and explicit solutions of some nonlinear differential
           and fractional equations
    • Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Yufeng Zhang, Jianqin Mei, Xiangzhi Zhang
      One generalized Burgers hierarchy is derived by applying the Cole-Hopf transforation, whose dark-equation hierarchy is also generated by the dark-equation method, from which a generalized Burgers equation and a generalized Kupershmidt equation, respectively, are followed to obtain. Through Lie-group analysis method we produce similarity reductions, exact solutions of the generalized Burgers and the Kupershmidt equations. Specially, we investigate the similarity reductions of the fractional Kupershmidt equation and its exact solutions. In addition, we obtain the conservation laws of the Kupershmidt equation and its adjoint equation. Finally, we give rise to symmetries, primary branch solutions as well various recursion operators of degenerated equations from the Kupershmidt equation.

      PubDate: 2018-06-18T07:12:00Z
       
  • Quantized feedback control scheme on coupled systems with time delay and
           distributed delay: A finite-time inner synchronization analysis
    • Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Yao Xu, Chenyin Chu, Wenxue Li
      In this paper, finite-time inner synchronization of coupled systems on a network with time delay and distributed delay (CSNTD) is investigated. And here, time delay and distributed delay are both taken into consideration when modelling a realistic network. Different from common feedback control, the controller we design is quantized, which is more realistic and reasonable. By using Lyapunov method and Kirchhoff’s Matrix Tree Theorem, some sufficient criteria are derived to guarantee finite-time inner synchronization of CSNTD. It should be underlined that the method is first applied to studying the issue of finite-time inner synchronization of CSNTD and the synchronization time we obtain has a close relationship with the topological structure of the network. Moreover, to verify our theoretical results, we present an application to coupled oscillators with time delay and distributed delay, and a sufficient criterion is obtained. Ultimately, a numerical example is given to verify the validity and feasibility of theoretical results.

      PubDate: 2018-06-18T07:12:00Z
       
  • Bounds for scattering number and rupture degree of graphs with genus
    • Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Yinkui Li, Ruijuan Gu
      For a given graph G = ( V , E ) , denote by m(G) and ω(G) the order of the largest component and the number of components of G, respectively. The scattering number of G is defined as s ( G ) = max { ω ( G − X ) − X : X ⊆ V , ω ( G − X ) > 1 } , and the rupture degree r ( G ) = max { ω ( G − X ) − X − m ( G − X ) : X ⊆ V ( G ) , ω ( G − X ) > 1 } . These two parameters are related to reliability and vulnerability of networks. In this paper, we present some new bounds on the scattering number and rupture degree of a graph G in terms of its connectivity κ(G) and genus γ(G). Furthermore, we give graphs to show these bounds are best possible.

      PubDate: 2018-06-18T07:12:00Z
       
  • Dynamics of a stochastic delay competitive model with harvesting and
           Markovian switching
    • Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Meng Liu, Jingyi Yu, Partha Sarathi Mandal
      This work is concerned with a two-species stochastic state-switching competitive population model with distributed delays and harvesting. First, necessary and sufficient criteria for the existence of a unique ergodic stationary distribution of the system are established. Then necessary and sufficient criteria for the existence of the optimal harvesting policy are given, and the explicit expression of the optimal harvesting policy is obtained. Finally, some effects of the state-switching on the persistence, extinction and optimal harvesting strategy of the system are discussed with the help of several simulations.

      PubDate: 2018-06-18T07:12:00Z
       
  • On the Steiner hyper-Wiener index of a graph
    • Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Niko Tratnik
      In this paper, we study the Steiner hyper-Wiener index of a graph, which is obtained from the standard hyper-Wiener index by replacing the classical graph distance with the Steiner distance. It is shown how this index is related to the Steiner Hosoya polynomial, which generalizes similar result for the standard hyper-Wiener index. Next, we show how the Steiner 3-hyper-Wiener index of a modular graph can be expressed by using the classical graph distances. As the main result, a method for computing this index for median graphs is developed. Our method makes computation of the Steiner 3-hyper-Wiener index much more efficient. Finally, the method is used to obtain the closed formulas for the Steiner 3-Wiener index and the Steiner 3-hyper-Wiener index of grid graphs.

      PubDate: 2018-06-18T07:12:00Z
       
  • Algorithm and complexity of the two disjoint connected dominating sets
           problem on trees
    • Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Xianliang Liu, Zishen Yang, Wei Wang
      In this paper, we consider a variation of the classic dominating set problem - The Two Disjoint Connected Dominating Sets (DCDS) problem, which finds applications in many real domains including wireless sensor networks. In the DCDS problem, we are given a graph G = ( V , E ) and required to find a new edge set E′ with minimum cardinality such that the resulting new graph after the adding of E′ has a pair of disjoint connected dominating sets. This problem is very hard in general graphs, and we show that it is NP -hard even restricted to trees. We also present a polynomial time approximation algorithm for the DCDS problem for arbitrary trees with performance ratio 3 2 asymptotically.

      PubDate: 2018-06-18T07:12:00Z
       
  • Numerical method for solving uncertain spring vibration equation
    • Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Lifen Jia, Waichon Lio, Xiangfeng Yang
      As a type of uncertain differential equations, uncertain spring vibration equation is driven by Liu process. This paper proposes a concept of α-path, and shows that the solution of an uncertain spring vibration equation can be expressed by a family of solutions of second-order ordinary differential equations. This paper also proves that the inverse uncertainty distribution of solution of uncertain spring vibration equation is just the α-path of uncertain spring vibration equation, and a numerical algorithm is designed. Moreover, a formula to calculate the expected value of solution of uncertain spring vibration equation is derived. Finally, several numerical examples are provided to illustrate the efficiency of the numerical method.

      PubDate: 2018-06-18T07:12:00Z
       
  • Stabilization of evolutionary networked games with length-r information
    • Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Ying Mao, Liqing Wang, Yang Liu, Jianquan Lu, Zhen Wang
      This paper investigates the dynamics of evolutionary networked games with different length information via semi-tensor product (STP) method. First, a networked game with different length information is modeled in the form of probabilistic Boolean networks (PBNs) with time delays. Second, based on the utility function of each player, a necessary condition for the existence of a pure Nash equilibrium is obtained. Then a state feedback control is applied to stabilize the considered system. Finally, an example is presented to substantiate the effectiveness of the theoretical results.

      PubDate: 2018-06-18T07:12:00Z
       
  • Numerical method for Volterra equation with a power-type nonlinearity
    • Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Hanna Okrasińska-Płociniczak, Łukasz Płociniczak
      In this work we prove that a family of explicit numerical methods is convergent when applied to a nonlinear Volterra equation with a power-type nonlinearity. In that case the kernel is not of Lipschitz type, therefore the classical analysis cannot be utilized. We indicate several difficulties that arise in the proofs and show how they can be remedied. The tools that we use consist of variations on discreet Gronwall’s lemmas and comparison theorems. Additionally, we give an upper bound on the convergence order. We conclude the paper with a construction of a convergent method and apply it for solving some examples.

      PubDate: 2018-06-18T07:12:00Z
       
  • On the Geršgorin-type localizations for nonlinear eigenvalue problems
    • Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): V. Kostić, D. Gardašević
      Since nonlinear eigenvalue problems appear in many applications, the research on their proper treatment has drawn a lot of attention lately. Therefore, there is a need to develop computationally inexpensive ways to localize eigenvalues of nonlinear matrix-valued functions in the complex plane, especially eigenvalues of quadratic matrix polynomials. Recently, few variants of the Geršgorin localization set for more general eigenvalue problems, matrix pencils and nonlinear ones, were developed and investigated. Here, we introduce a more general approach to Geršgorin-type sets for nonlinear case using diagonal dominance, prove some properties of such sets and show how they perform on several problems in engineering.

      PubDate: 2018-06-09T07:04:50Z
       
  • Boundary integral equations for the exterior Robin problem in two
           dimensions
    • Authors: Olha Ivanyshyn; Yaman Gazi
      Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Olha Ivanyshyn Yaman, Gazi Özdemir
      We propose two methods based on boundary integral equations for the numerical solution of the planar exterior Robin boundary value problem for the Laplacian in a multiply connected domain. The methods do not require any a-priori information on the logarithmic capacity. Investigating the properties of the integral operators and employing the Riesz theory we prove that the obtained boundary integral equations for both methods are uniquely solvable. The feasibility of the numerical methods is illustrated by examples obtained via solving the integral equations by the Nyström method based on weighted trigonometric quadratures on an equidistant mesh.

      PubDate: 2018-05-31T12:06:12Z
       
  • Spanning trees and dimer problem on the Cairo pentagonal lattice
    • Authors: Shuli Weigen; Yan
      Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Shuli Li, Weigen Yan
      The Cairo pentagonal lattice is the dual lattice of the (32.4.3.4) lattice. In this work, we obtain explicit expression of the number of spanning trees of the Cairo pentagonal lattice with toroidal boundary condition, particularly, there is a constant difference (not one) of the number of spanning trees between the (32.4.3.4) lattice and the Cairo pentagonal lattice with toroidal boundary condition. We also obtain the asymptotic growth constant and the dimer entropy of the Cairo pentagonal lattice with toroidal boundary condition.

      PubDate: 2018-05-31T12:06:12Z
       
  • An algorithm to compute data diversity index in spatial networks
    • Authors: Taras Agryzkov; Leandro Tortosa Jose Vicent
      Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Taras Agryzkov, Leandro Tortosa, Jose F. Vicent
      Diversity is an important measure that according to the context, can describe different concepts of general interest: competition, evolutionary process, immigration, emigration and production among others. It has been extensively studied in different areas, as ecology, political science, economy, sociology and others. The quality of spatial context of the city can be gauged through this measure. The spatial context with its corresponding dataset can be modelled using spatial networks. Consequently, this allows us to study the diversity of data present in this specific type of networks. In this paper we propose an algorithm to measure diversity in spatial networks based on the topology and the data associated to the network. In the experiments developed with networks of different sizes, it is observed that the proposed index is independent of the size of the network, but depends on its topology.

      PubDate: 2018-05-31T12:06:12Z
       
  • Radial symmetry for positive solutions of fractional p-Laplacian equations
           via constrained minimization method
    • Authors: Liuliu Xie; Xiaotao Huang Lihe Wang
      Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Liuliu Xie, Xiaotao Huang, Lihe Wang
      The aim of this paper is to investigate a class of fractional p-Laplacian equations. We obtain existence and symmetry results for solutions in the fractional Sobolev space W s,p (Rn ) by rearrangement of its corresponding constrained minimization. Our results are in accordance with those for the classical p-Laplacian equations and fractional Schrödinger equations.

      PubDate: 2018-05-31T12:06:12Z
       
  • The composition of fractional Hankel wavelet transform on some function
           spaces
    • Authors: Kanailal Mahato
      Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Kanailal Mahato
      In this article, we discussed some fruitful estimates for the composition of Hankel wavelet transform associated with fractional Hankel transform on the Sobolev type space. Parseval’s identity is proposed for composition of Hankel wavelet transform. Plancherel’s formula is obtained. Also boundedness results of composition of Hankel wavelet transform is given on certain function spaces.

      PubDate: 2018-05-31T12:06:12Z
       
  • Construction of L2-orthogonal elements of arbitrary order for Local
           Projection Stabilization
    • Authors: Schieweck Skrzypacz; Tobiska
      Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): F. Schieweck, P. Skrzypacz, L. Tobiska
      We construct L 2-orthogonal conforming elements of arbitrary order for the Local Projection Stabilization (LPS). L 2-orthogonal basis functions lead to a diagonal mass matrix which can be advantageous for time discretizations. We prove that the constructed family of finite elements satisfies a local inf-sup condition. Additionally, we investigate the size of the local inf-sup constant with respect to the polynomial degree. Our numerical tests show that the discrete solution is oscillation-free and of optimal accuracy in the regions away from the boundary or interior layers.

      PubDate: 2018-05-31T12:06:12Z
       
  • Pinning stochastic sampled-data control for exponential synchronization of
           directed complex dynamical networks with sampled-data communications
    • Authors: Deqiang Zeng; Ruimei Zhang Xinzhi Liu Shouming Zhong Kaibo Shi
      Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Deqiang Zeng, Ruimei Zhang, Xinzhi Liu, Shouming Zhong, Kaibo Shi
      This paper is concerned with the exponential synchronization of directed complex dynamical networks (CDNs) with sampled-data communications (SDCs) via pinning stochastic sampled-data control. Different from traditional directed CDNs with determined sampling intervals, multiple stochastic varying sampling intervals with given probabilities are considered in this paper. Compared with some existing control schemes, our control method is more practical because the random sampling intervals always happen in some practical situation. In addition, a Lyapunov–Krasovskii functional (LKF) with some new terms is constructed, which can fully capture the information on stochastic sampling intervals, stochastic input delays, and nonlinear functions. Based on the LKF and Wirtinger’s inequality, less conservative synchronization criteria are obtained. Finally, numerical examples are given to illustrate the effectiveness and superiorities of the proposed results.

      PubDate: 2018-05-31T12:06:12Z
       
  • Shape-preserving piecewise rational interpolation with higher order
           continuity
    • Authors: Xuli Han
      Abstract: Publication date: 15 November 2018
      Source:Applied Mathematics and Computation, Volume 337
      Author(s): Xuli Han
      A united form of the classical Hermite interpolation and shape-preserving interpolation is presented in this paper. The presented interpolation method provides higher order continuous shape-preserving interpolation splines. The given interpolants are explicit piecewise rational expressions without solving a linear or nonlinear system of consistency equations. By setting parameter values, the interpolation curve can be generated by choosing the classical piecewise Hermite interpolation polynomials or the presented piecewise rational expressions. For monotonicity-preserving and convexity-preserving interpolation, the appropriate values of a parameter are given on each subinterval. Numerical examples indicate that the given method produces visually pleasing curves.

      PubDate: 2018-05-28T11:59:38Z
       
  • Numerical solution of integro-differential equations arising from singular
           boundary value problems
    • Authors: Pedro Lima; Azzeddine Bellour Mikhail Bulatov
      Abstract: Publication date: 1 November 2018
      Source:Applied Mathematics and Computation, Volume 336
      Author(s): Pedro M. Lima, Azzeddine Bellour, Mikhail V. Bulatov
      We consider the numerical solution of a singular boundary value problem on the half line for a second order nonlinear ordinary differential equation. Due to the fact that the nonlinear differential equation has a singularity at the origin and the boundary value problem is posed on an unbounded domain, the proposed approaches are complex and require a considerable computational effort. In the present paper, we describe an alternative approach, based on the reduction of the original problem to an integro-differential equation. Though the problem is posed on the half-line, we just need to approximate the solution on a finite interval. By analyzing the behavior of the numerical approximation on this interval, we identify the solution that satisfies the prescribed boundary condition. Although the numerical algorithm is much simpler than the ones proposed before, it provides accurate approximations. We illustrate the proposed methods with some numerical examples.

      PubDate: 2018-05-28T11:59:38Z
       
  • Positivity preserving finite volume scheme for the Nagumo-type equations
           on distorted meshes
    • Authors: Huifang Zhou; Zhiqiang Sheng Guangwei Yuan
      Abstract: Publication date: 1 November 2018
      Source:Applied Mathematics and Computation, Volume 336
      Author(s): Huifang Zhou, Zhiqiang Sheng, Guangwei Yuan
      In this paper we present a nonlinear positivity preserving finite volume scheme for the Nagumo-type equations with anisotropic tensor diffusion coefficient. For the diffusion term, we use the positivity preserving finite volume scheme. For the time direction, we use the backward Euler approximation. We deal with nonlinear reaction term implicitly and decompose nonlinear reaction coefficient into two nonnegative functions. Thus we get a system of nonlinear algebraic equations. The advantages of our scheme are that it can be applied to distorted meshes and has no severe constraint on the time step. The numerical results verify the theoretical result.

      PubDate: 2018-05-28T11:59:38Z
       
  • A new approach for space-time fractional partial differential equations by
           residual power series method
    • Authors: Mine Aylin; Bayrak Ali Demir
      Abstract: Publication date: 1 November 2018
      Source:Applied Mathematics and Computation, Volume 336
      Author(s): Mine Aylin Bayrak, Ali Demir
      In this paper, the approximate analytic solution of any order space-time fractional differential equations is constructed by means of semi-analytical method, named as residual power series method (RPSM). The first step is to reduce space-time fractional differential equation to either a space fractional differential equations or a time fractional differential equations before applying RSPM. The main step is to obtain fractional power series solutions by RSPM. At the final step, it is shown that RPSM is very efficacious, plain and powerful for obtaining the solution of any-order space-time fractional differential equations in the form of fractional power series by illustrative examples.

      PubDate: 2018-05-28T11:59:38Z
       
 
 
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