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  Subjects -> COMPUTER SCIENCE (Total: 2007 journals)
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COMPUTER SCIENCE (1169 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: 4)
ACM Computing Surveys     Hybrid Journal   (Followers: 24)
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: 12)
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: 15)
ACM Transactions on Computing Education (TOCE)     Hybrid Journal   (Followers: 6)
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: 21)
ACM Transactions on Intelligent Systems and Technology (TIST)     Hybrid Journal   (Followers: 8)
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: 9)
ACM Transactions on Speech and Language Processing (TSLP)     Hybrid Journal   (Followers: 10)
ACM Transactions on Storage     Hybrid Journal  
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 25)
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: 9)
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: 15)
Advances in Computing     Open Access   (Followers: 2)
Advances in Data Analysis and Classification     Hybrid Journal   (Followers: 52)
Advances in Engineering Software     Hybrid Journal   (Followers: 26)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 11)
Advances in Human Factors/Ergonomics     Full-text available via subscription   (Followers: 26)
Advances in Human-Computer Interaction     Open Access   (Followers: 21)
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: 40)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Advances in Technology Innovation     Open Access   (Followers: 4)
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)
Air, Soil & Water Research     Open Access   (Followers: 9)
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: 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: 3)
Annals of Data Science     Hybrid Journal   (Followers: 11)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 8)
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: 13)
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: 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: 15)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 5)
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: 132)
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
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)
Biodiversity Information Science and Standards     Open Access  
Bioinformatics     Hybrid Journal   (Followers: 301)
Biomedical Engineering     Hybrid Journal   (Followers: 15)
Biomedical Engineering and Computational Biology     Open Access   (Followers: 14)
Biomedical Engineering, IEEE Reviews in     Full-text available via subscription   (Followers: 18)
Biomedical Engineering, IEEE Transactions on     Hybrid Journal   (Followers: 34)
Briefings in Bioinformatics     Hybrid Journal   (Followers: 45)
British Journal of Educational Technology     Hybrid Journal   (Followers: 131)
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)
Capturing Intelligence     Full-text available via subscription  
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal   (Followers: 1)
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: 1)
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: 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: 14)
Communication Methods and Measures     Hybrid Journal   (Followers: 12)
Communication Theory     Hybrid Journal   (Followers: 20)
Communications Engineer     Hybrid Journal   (Followers: 1)
Communications in Algebra     Hybrid Journal   (Followers: 3)
Communications in Partial Differential Equations     Hybrid Journal   (Followers: 3)
Communications of the ACM     Full-text available via subscription   (Followers: 55)
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   (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: 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: 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: 15)
Computational Linguistics     Open Access   (Followers: 22)
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: 14)
Computational Statistics & Data Analysis     Hybrid Journal   (Followers: 30)
Computer     Full-text available via subscription   (Followers: 89)
Computer Aided Surgery     Hybrid Journal   (Followers: 5)
Computer Applications in Engineering Education     Hybrid Journal   (Followers: 8)
Computer Communications     Hybrid Journal   (Followers: 10)
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: 22)
Computer Methods in Biomechanics and Biomedical Engineering     Hybrid Journal   (Followers: 12)
Computer Methods in the Geosciences     Full-text available via subscription   (Followers: 2)
Computer Music Journal     Hybrid Journal   (Followers: 18)
Computer Physics Communications     Hybrid Journal   (Followers: 6)
Computer Science - Research and Development     Hybrid Journal   (Followers: 8)
Computer Science and Engineering     Open Access   (Followers: 19)
Computer Science and Information Technology     Open Access   (Followers: 13)
Computer Science Education     Hybrid Journal   (Followers: 14)
Computer Science Journal     Open Access   (Followers: 21)

        1 2 3 4 5 6 | Last

Journal Cover Applied Mathematics and Computation
  [SJR: 1.008]   [H-I: 100]   [33 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0096-3003
   Published by Elsevier Homepage  [3118 journals]
  • Theoretical analysis of a Sinc-Nyström method for Volterra
           integro-differential equations and its improvement
    • Authors: Tomoaki Okayama
      Pages: 1 - 15
      Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): Tomoaki Okayama
      A Sinc-Nyström method for Volterra integro-differential equations was developed by Zarebnia (2010). The method is quite efficient in the sense that exponential convergence can be obtained even if the given problem has endpoint singularity. However, its exponential convergence has not been proved theoretically. In addition, to implement the method, the regularity of the solution is required, although the solution is an unknown function in practice. This paper reinforces the method by presenting two theoretical results: (1) the regularity of the solution is analyzed, and (2) its convergence rate is rigorously analyzed. Moreover, this paper improves the method so that a much higher convergence rate can be attained, and theoretical results similar to those listed above are provided. Numerical comparisons are also provided.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.062
      Issue No: Vol. 324 (2017)
       
  • A Galerkin energy-preserving method for two dimensional nonlinear
           Schrödinger equation
    • Authors: Haochen Li; Chaolong Jiang; Zhongquan Lv
      Pages: 16 - 27
      Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): Haochen Li, Chaolong Jiang, Zhongquan Lv
      In this paper, a Galerkin energy-preserving scheme is proposed for solving nonlinear Schrödinger equation in two dimensions. The nonlinear Schrödinger equation is first rewritten as an infinite-dimensional Hamiltonian system. Following the method of lines, the spatial derivatives of the nonlinear Schrödinger equation are approximated with the aid of the Galerkin methods. The resulting ordinary differential equations can be cast into a canonical Hamiltonian system. A fully-discretized scheme is then devised by considering an average vector field method in time. Moreover, based on the fast Fourier transform and the matrix diagonalization method, a fast solver is developed to solving the resulting algebraic equations. Finally, the proposed scheme is employed to capture the blow-up phenomena of the nonlinear Schrödinger equation.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.056
      Issue No: Vol. 324 (2017)
       
  • Analytical and numerical modeling of the evolution of human papillomavirus
           infected cells
    • Authors: Francisco J. Solis; Luz M. Gonzalez
      Pages: 28 - 35
      Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): Francisco J. Solis, Luz M. Gonzalez
      In this paper analytical properties of solutions of a novel human papillomavirus (HPV) infected cells model is investigated. We show existence, uniqueness and stability of solutions by using standard techniques based on the energy method and the method of upper and lower solutions. For the numerical counterpart, we develop and implement one efficient numerical algorithm scheme which satisfies nonnegative conditions and dynamical consistency. Efficiency of this method is shown by its longtime approximations, which are of paramount importance for a slow process like the evolution of HPV infected cells.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.036
      Issue No: Vol. 324 (2017)
       
  • Numerical simulation for coupled systems of nonlinear fractional order
           integro-differential equations via wavelets method
    • Authors: Jiao Wang; Tian-Zhou Xu; Yan-Qiao Wei; Jia-Quan Xie
      Pages: 36 - 50
      Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): Jiao Wang, Tian-Zhou Xu, Yan-Qiao Wei, Jia-Quan Xie
      In this paper, a new method for solving coupled systems of nonlinear fractional order integro-differential equations is proposed. The idea is to use Bernoulli wavelets and operational matrix. The main purpose of the technique is to transform the studied systems of fractional order integro-differential equations into systems of algebraic equations which can be solved easily. Illustrative examples and comparisons with Haar wavelets and Legendre wavelets are included to reveal the effectiveness of the method and the accuracy of the convergence analysis.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.12.010
      Issue No: Vol. 324 (2017)
       
  • A higher-order convolution for Bernoulli polynomials of the second kind
    • Authors: Yuan He; Taekyun Kim
      Pages: 51 - 58
      Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): Yuan He, Taekyun Kim
      In this paper, we perform a further investigation for the Bernoulli polynomials of the second kind. By making use of the generating function methods and summation transform techniques, we establish a higher-order convolution identity for the Bernoulli polynomials of the second kind. We also present some illustrative special cases as well as immediate consequences of the main result.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.12.014
      Issue No: Vol. 324 (2017)
       
  • High-order implicit Galerkin–Legendre spectral method for the
           two-dimensional Schrödinger equation
    • Authors: Wenjie Liu; Boying Wu
      Pages: 59 - 68
      Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): Wenjie Liu, Boying Wu
      In this paper, we propose Galerkin–Legendre spectral method with implicit Runge-Kutta method for solving the unsteady two-dimensional Schrödinger equation with nonhomogeneous Dirichlet boundary conditions and initial condition. We apply a Galerkin–Legendre spectral method for discretizing spatial derivatives, and then employ the implicit Runge–Kutta method for the time integration of the resulting linear first-order system of ordinary differential equations in complex domain. We derive the spectral rate of convergence for the proposed method in the L 2-norm for the semidiscrete formulation. Numerical experiments show our formulation have high-order accuracy.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.12.009
      Issue No: Vol. 324 (2017)
       
  • Bounding the sum of powers of normalized Laplacian eigenvalues of a graph
    • Authors: Jianxi Li; Ji-Ming Guo; Wai Chee Shiu; Ş. Burcu Bozkurt Altındağ; Durmuş Bozkurt
      Pages: 82 - 92
      Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): Jianxi Li, Ji-Ming Guo, Wai Chee Shiu, Ş. Burcu Bozkurt Altındağ, Durmuş Bozkurt
      Let G be a simple connected graph of order n. Its normalized Laplacian eigenvalues are λ 1 ≥ λ 2 ≥ ⋯ ≥ λ n − 1 ≥ λ n = 0 . In this paper, new bounds on S β * ( G ) = ∑ i = 1 n − 1 λ i β (β ≠ 0, 1) are derived.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.12.003
      Issue No: Vol. 324 (2017)
       
  • Two new preconditioned GAOR methods for weighted linear least squares
           problems
    • Authors: Shu-Xin Miao; Yu-Hua Luo; Guang-Bin Wang
      Pages: 93 - 104
      Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): Shu-Xin Miao, Yu-Hua Luo, Guang-Bin Wang
      In this paper, the preconditioned generalized accelerated overrelaxation (GAOR) methods for solving weighted linear least squares problems are considered. Two new preconditioners are proposed and the convergence rates of the new preconditioned GAOR methods are studied. Comparison results show that the convergence rates of the new preconditioned GAOR methods are better than those of the preconditioned GAOR methods in the previous literatures whenever these methods are convergent. A numerical example is given to confirm our theoretical results.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.12.007
      Issue No: Vol. 324 (2017)
       
  • A symbolic computation framework for constitutive modelling based on
           entropy principles
    • Authors: A.F. Cheviakov; J. Heß
      Pages: 105 - 118
      Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): A.F. Cheviakov, J. Heß
      The entropy principle in the formulation of Müller and Liu is a common tool used in constitutive modelling for the development of restrictions on the unknown constitutive functions describing material properties of various physical continua. In the current work, a symbolic software implementation of the Liu algorithm, based on Maple software and the GeM package, is presented. The computational framework is used to algorithmically perform technically demanding symbolic computations related to the entropy principle, to simplify and reduce Liu identities, and ultimately to derive explicit formulas describing classes of constitutive functions that do not violate the entropy principle. Detailed physical examples are presented and discussed.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.12.004
      Issue No: Vol. 324 (2017)
       
  • A new local energy-preserving algorithm for the BBM equation
    • Authors: Yanhong Yang; Yushun Wang; Yongzhong Song
      Pages: 119 - 130
      Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): Yanhong Yang, Yushun Wang, Yongzhong Song
      In this paper, a new local energy-preserving algorithm is proposed based on the temporal and spatial discretizations where the Average Vector Field (AVF) method and the implicit midpoint method are used for the temporal discretization and spatial discretization, respectively. In any local time-space region, the local mass and local energy are conserved by the algorithm. With periodic boundary conditions, it is worth noting that the global mass and global energy conservation law are also admitted. Numerical experiments are performed to support our theoretical analysis and show the conservation properties of the algorithm intuitively.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.12.013
      Issue No: Vol. 324 (2017)
       
  • Exponential stabilization of switched time-varying systems with delays and
           disturbances
    • Authors: Yanan Li; Yuangong Sun; Fanwei Meng; Yazhou Tian
      Pages: 131 - 140
      Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): Yanan Li, Yuangong Sun, Fanwei Meng, Yazhou Tian
      This paper deals with exponential stabilization for a class of switched time-varying systems. By taking time-varying delays and nonlinear disturbances into consideration, time dependent switching signals have been characterized in terms of Metzler matrices such that the resulting system is globally exponentially stable. Compared with preceding works, we introduce a model transformation and an approach without involving the Lyapunov-Krasovskii functional to derive new exponential stability criteria for switched time-varying systems under the average dwell time switching. Numerical examples show that the obtained theoretical results can be applied to some cases not covered by some existing results.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.12.011
      Issue No: Vol. 324 (2017)
       
  • High-order full discretization for anisotropic wave equations
    • Authors: A.M. Portillo
      Pages: 1 - 16
      Abstract: Publication date: 15 April 2018
      Source:Applied Mathematics and Computation, Volume 323
      Author(s): A.M. Portillo
      Two-dimensional linear wave equation in anisotropic media, on a rectangular domain with initial conditions and periodic boundary conditions, is considered. The energy of the problem is contemplated. The space discretization is reached by means of finite differences on a uniform grid, paying attention to the mixed derivative of the equation. The discrete energy of the semi-discrete problem is introduced. For the time integration of the system of ordinary differential equations obtained, a fourth order exponential splitting method, which is a geometric integrator, is proposed. This time integrator is efficient and easy to implement. The stability condition for time step and space step ratio is deduced. Numerical experiments displaying the good behavior in the long time integration and the efficiency of the numerical solution are provided.

      PubDate: 2017-12-12T14:00:54Z
      DOI: 10.1016/j.amc.2017.11.045
      Issue No: Vol. 323 (2017)
       
  • Sparse polynomial chaos expansion based on D-MORPH regression
    • Authors: Kai Cheng; Zhenzhou Lu
      Pages: 17 - 30
      Abstract: Publication date: 15 April 2018
      Source:Applied Mathematics and Computation, Volume 323
      Author(s): Kai Cheng, Zhenzhou Lu
      Polynomial chaos expansion (PCE) is widely used by engineers and modelers in various engineering fields for uncertainty analysis. The computational cost of full PCE is unaffordable for the “curse of dimensionality” of the expansion coefficients. In this paper, a new method for developing sparse PCE is proposed based on the diffeomorphic modulation under observable response preserving homotopy (D-MORPH) algorithm. D-MORPH is a regression technique, it can construct the full PCE models with model evaluations much less than the unknown coefficients. This technique determines the unknown coefficients by minimizing the least-squared error and an objective function. For the purpose of developing sparse PCE, an iterative reweighted algorithm is proposed to construct the objective function. As a result, the objective in D-MORPH regression is converted to minimize the ℓ1 norm of PCE coefficients, and the sparse PCE is established after the proposed algorithm converges to the optimal value. To validate the performance of the developed methodology, several benchmark examples are investigated. The accuracy and efficiency are compared to the well-established least angle regression (LAR) sparse PCE, and results show that the developed method is superior to the LAR-based sparse PCE in terms of efficiency and accuracy.

      PubDate: 2017-12-12T14:00:54Z
      DOI: 10.1016/j.amc.2017.11.044
      Issue No: Vol. 323 (2017)
       
  • Superconvergence analysis of finite element method for time-fractional
           Thermistor problem
    • Authors: Dongyang Shi; Huaijun Yang
      Pages: 31 - 42
      Abstract: Publication date: 15 April 2018
      Source:Applied Mathematics and Computation, Volume 323
      Author(s): Dongyang Shi, Huaijun Yang
      In this paper, the superclose and superconvergence analysis of the nonlinear time-fractional thermistor problem are investigated by bilinear finite element method (FEM) for a fully-discrete scheme, in which the Caputo derivative is approximated by the classical L1 method. By dealing with the error estimates in the spatial direction rigorously, which are one order higher than the traditional FEMs, the superclose estimates in H 1-norm are obtained for the corresponding variables based on the special properties of this element together with mean value technique. Subsequently, the global superconvergence results are derived by employing the interpolation postprocessing approach. Finally, a numerical experiment is carried out to confirm the theoretical analysis.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.027
      Issue No: Vol. 323 (2017)
       
  • Stability analysis of a parametric family of seventh-order iterative
           methods for solving nonlinear systems
    • Authors: Abdolreza Amiri; Alicia Cordero; M. Taghi Darvishi; Juan R. Torregrosa
      Pages: 43 - 57
      Abstract: Publication date: 15 April 2018
      Source:Applied Mathematics and Computation, Volume 323
      Author(s): Abdolreza Amiri, Alicia Cordero, M. Taghi Darvishi, Juan R. Torregrosa
      In this paper, a parametric family of seventh-order of iterative method to solve systems of nonlinear equations is presented. Its local convergence is studied and quadratic polynomials are used to investigate its dynamical behavior. The study of the fixed and critical points of the rational function associated to this class allows us to obtain regions of the complex plane where the method is stable. By depicting parameter planes and dynamical planes we obtain complementary information of the analytical results. These results are used to solve some nonlinear problems.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.040
      Issue No: Vol. 323 (2017)
       
  • Matching of 5-γ-critical leafless graph with a cut edge
    • Authors: Yuxuan Yang; Mei Lu
      Pages: 58 - 63
      Abstract: Publication date: 15 April 2018
      Source:Applied Mathematics and Computation, Volume 323
      Author(s): Yuxuan Yang, Mei Lu
      Given a graph G = ( V , E ) , a subset S of V is a dominating set of G if every vertex in V∖S is adjacent to a vertex in S. The minimum cardinality of a dominating set in a graph G is called the domination number of G and is denoted by γ(G). A graph G is said to be k-γ-critical if γ ( G ) = k , but γ ( G + e ) < k for each edge e ∈ E ( G ¯ ) , where G ¯ is the complement of G. In this paper, we first provide the structure of k-γ-critical connected graphs with a nontrivial cut edge. Then we establish that each 5-γ-critical leafless connected graph of even order contains a perfect matching.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.050
      Issue No: Vol. 323 (2017)
       
  • Some transformations on multiplicative eccentricity resistance-distance
           and their applications
    • Authors: Yunchao Hong; Zhongxun Zhu; Amu Luo
      Pages: 75 - 85
      Abstract: Publication date: 15 April 2018
      Source:Applied Mathematics and Computation, Volume 323
      Author(s): Yunchao Hong, Zhongxun Zhu, Amu Luo
      For a connected graph G, the multiplicative eccentricity resistance-distance is defined as ξ R * ( G ) = ∑ { x , y } ⊂ V ( G ) ɛ G ( x ) · ɛ G ( y ) R G ( x , y ) , where ε G ( · ) is the eccentricity of the corresponding vertex and RG (x, y) is the effective resistance between vertices x and y in G. A connected graph G is called a cactus if any two of its cycles have at most one common vertex. Let Cat(n; t) be the set of cacti possessing n vertices and t cycles, where 0 ≤ t ≤ n − 1 2 . In this paper, we introduce some edge-grafting transformations which decrease ξ R * ( G ) . As their applications, the extremal graphs with minimum and second minimum ξ R * ( G ) -value in Cat(n; t) are characterized.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.055
      Issue No: Vol. 323 (2017)
       
  • Some geometrical properties of free boundaries in the Hele-Shaw flows
    • Authors: Paula Curt; Mirela Kohr
      Pages: 86 - 94
      Abstract: Publication date: 15 April 2018
      Source:Applied Mathematics and Computation, Volume 323
      Author(s): Paula Curt, Mirela Kohr
      In this paper, we are concerned with certain geometric properties of the moving boundary in the case of two-dimensional viscous fluid flows in Hele-Shaw cells under injection. We study the invariance in time of free boundary for such a bounded flow domain under the assumption of zero surface tension. By applying various results in the theory of univalent functions, we consider the invariance in time of starlikeness of a complex order, almost starlikeness of order α ∈ [0, 1), and almost spirallikeness of type γ ∈ ( − π / 2 , π / 2 ) and order α ∈ (0, cos γ). This work complements recent work on planar Hele-Shaw flow problems in the case of zero surface tension.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.051
      Issue No: Vol. 323 (2017)
       
  • Neighbor-considered migration facilitates cooperation in prisoner’s
           dilemma games
    • Authors: Yizhi Ren; Xiangyu Chen; Zhen Wang; Benyun Shi; Guanghai Cui; Ting Wu; Kim-Kwang Raymond Choo
      Pages: 95 - 105
      Abstract: Publication date: 15 April 2018
      Source:Applied Mathematics and Computation, Volume 323
      Author(s): Yizhi Ren, Xiangyu Chen, Zhen Wang, Benyun Shi, Guanghai Cui, Ting Wu, Kim-Kwang Raymond Choo
      Migration (e.g. between cities and nations) has been shown to be an effective mechanism in facilitating the evolution of cooperation in spatial games. In contingent migration (e.g. success-driven migration), individuals choose the relocation place based on their expected payoffs. In other words, success-driven migration assumes that individuals make decisions about where to migrate strategically rather than randomly. Existing behavioral experiments have shown that human have other-regarding preference. In this paper, we study individuals’ cooperation behaviors in the prisoner’s dilemma game on a two-dimensional square lattice, where individuals have other-regarding migration preference. We introduce a neighbor-considered migration strategy, which considers both benefits of individuals and their neighbors. During the migration process, an individual always moves to a reachable empty site with the highest fairness payoff, which takes the benefit of all relevant stakeholders (including the particular individual and the neighbors) into consideration. We explore the effect of the different fairness, while considering the individuals when they weigh their own interests and their neighbors’ interests. Our simulation results indicate that neighbor-considered migration can effectively promote the level of cooperation by helping cooperative clusters evade the invasion of defectors.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.043
      Issue No: Vol. 323 (2017)
       
  • Modified methods for solving two classes of distributed order linear
           fractional differential equations
    • Authors: Mourad S. Semary; Hany N. Hassan; Ahmed G. Radwan
      Pages: 106 - 119
      Abstract: Publication date: 15 April 2018
      Source:Applied Mathematics and Computation, Volume 323
      Author(s): Mourad S. Semary, Hany N. Hassan, Ahmed G. Radwan
      This paper introduces two methods for the numerical solution of distributed order linear fractional differential equations. The first method focuses on initial value problems (IVPs) and based on the αth Caputo fractional definition with the shifted Chebyshev operational matrix of fractional integration. By applying this method, the IVPs are converted into simple linear differential equations which can be easily handled. The other method focuses on boundary value problems (BVPs) based on Picard's method frame. This method is based on iterative formula contains an auxiliary parameter which provides a simple way to control the convergence region of solution series. Several numerical examples are used to illustrate the accuracy of the proposed methods compared to the existing methods. Also, the response of mechanical system described by such equations is studied.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.047
      Issue No: Vol. 323 (2017)
       
  • Extended Co-Kriging interpolation method based on multi-fidelity data
    • Authors: Manyu Xiao; Guohua Zhang; Piotr Breitkopf; Pierre Villon; Weihong Zhang
      Pages: 120 - 131
      Abstract: Publication date: 15 April 2018
      Source:Applied Mathematics and Computation, Volume 323
      Author(s): Manyu Xiao, Guohua Zhang, Piotr Breitkopf, Pierre Villon, Weihong Zhang
      The common issue of surrogate models is to make good use of sampling data. In theory, the higher the fidelity of sampling data provided, the more accurate the approximation model built. However, in practical engineering problems, high-fidelity data may be less available, and such data may also be computationally expensive. On the contrary, we often obtain low-fidelity data under certain simplifications. Although low-fidelity data is less accurate, such data still contains much information about the real system. So, combining both high and low multi-fidelity data in the construction of a surrogate model may lead to better representation of the physical phenomena. Co-Kriging is a method based on a two-level multi-fidelity data. In this work, a Co-Kriging method which expands the usual two-level to multi-level multi-fidelity is proposed to improve the approximation accuracy. In order to generate the different fidelity data, the POD model reduction is used with varying number of the basis vectors. Three numerical examples are tested to illustrate not only the feasibility and effectiveness of the proposed method but also the better accuracy when compared with Kriging and classical Co-Kriging.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.10.055
      Issue No: Vol. 323 (2017)
       
  • A fully semi-Lagrangian discretization for the 2D incompressible
           Navier–Stokes equations in the vorticity-streamfunction formulation
    • Authors: Luca Bonaventura; Roberto Ferretti; Lorenzo Rocchi
      Pages: 132 - 144
      Abstract: Publication date: 15 April 2018
      Source:Applied Mathematics and Computation, Volume 323
      Author(s): Luca Bonaventura, Roberto Ferretti, Lorenzo Rocchi
      A numerical method for the two-dimensional, incompressible Navier–Stokes equations in vorticity-streamfunction form is proposed, which employs semi-Lagrangian discretizations for both the advection and diffusion terms, thus achieving unconditional stability without the need to solve linear systems beyond that required by the Poisson solver for the reconstruction of the streamfunction. A description of the discretization of Dirichlet boundary conditions for the semi-Lagrangian approach to diffusion terms is also presented. Numerical experiments on classical benchmarks for incompressible flow in simple geometries validate the proposed method.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.030
      Issue No: Vol. 323 (2017)
       
  • Extended dissipative conditions for memristive neural networks with
           multiple time delays
    • Authors: Jianying Xiao; Shouming Zhong
      Pages: 145 - 163
      Abstract: Publication date: 15 April 2018
      Source:Applied Mathematics and Computation, Volume 323
      Author(s): Jianying Xiao, Shouming Zhong
      This paper addresses the problem of extended dissipative conditions for memristive neural networks with multiple time delays. The multiple time delays contain discrete, distributed and leakage time-varying delays. Based on both nonsmooth analysis and Lyapunov method, the extended dissipative conditions are obtained by mainly applying differential inclusions, set-valued maps and some new integral inequalities. The extended dissipative conditions can be applied in judging l 2 − l ∞ performance, H ∞ action, passive behavior and dissipative dynamics in a unified framework. Finally, a numerical example is provided to demonstrate the effectiveness and less conservatism of the proposed criteria.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.053
      Issue No: Vol. 323 (2017)
       
  • An efficient and conservative compact finite difference scheme for the
           coupled Gross–Pitaevskii equations describing spin-1 Bose–Einstein
           condensate
    • Authors: Tingchun Wang; Jiaping Jiang; Hanquan Wang; Weiwei Xu
      Pages: 164 - 181
      Abstract: Publication date: 15 April 2018
      Source:Applied Mathematics and Computation, Volume 323
      Author(s): Tingchun Wang, Jiaping Jiang, Hanquan Wang, Weiwei Xu
      The coupled Gross–Pitaevskii system studied in this paper is an important mathematical model describing spin-1 Bose-Einstein condensate. We propose a linearized and decoupled compact finite difference scheme for the coupled Gross–Pitaevskii system, which means that only three tri-diagonal systems of linear algebraic equations at each time step need to be solved by using Thomas algorithm. New types of mass functional, magnetization functional and energy functional are defined by using a recursive relation to prove that the new scheme preserves the total mass, energy and magnetization in the discrete sense. Besides the standard energy method, we introduce an induction argument as well as a lifting technique to establish the optimal error estimate of the numerical solution without imposing any constraints on the grid ratios. The convergence order of the new scheme is of O ( h 4 + τ 2 ) in the L 2 norm and H 1 norm, respectively, with time step τ and mesh size h. Our analysis method can be used to high dimensional cases and other linearized finite difference schemes for the two- or three-dimensional nonlinear Schrödinger/Gross–Pitaevskii equations. Finally, numerical results are reported to test the theoretical results.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.018
      Issue No: Vol. 323 (2017)
       
  • Cascading crashes induced by the individual heterogeneity in complex
           networks
    • Authors: Jie Li; Juan Wang; Shiwen Sun; Chengyi Xia
      Pages: 182 - 192
      Abstract: Publication date: 15 April 2018
      Source:Applied Mathematics and Computation, Volume 323
      Author(s): Jie Li, Juan Wang, Shiwen Sun, Chengyi Xia
      Deep understanding of the birth, growth and evolution of the real-life systems has been widely investigated, but the dynamics of system crashes are far beyond our knowledge. To this end, we propose a dynamical model to illustrate the collapsing behavior of complex networks, in which each node may leave the current networks since it has too few neighbors or has lost more than a specific proportion of its neighboring links. Different from previous works, the probability of being removed from the network for each node will be correlated with its original degree once the leaving conditions are satisfied, which includes the positive or negative correlation with the original degree, and totally independent probability deployment, and the individual heterogeneity has been integrated into these three probability setup schemes. Plenty of numerical simulations have indicated that the leaving probability setup scheme will greatly impact the system crashing behaviors under three different topologies including random, exponential and scale-free networks. In particular, the positively correlated scheme will substantially improve the survival of systems and further enhance the resilience of scale-free networks. To a great degree, the current results can help us to be further acquainted with the crashing dynamics and evolutionary properties of complex systems.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.059
      Issue No: Vol. 323 (2017)
       
  • Collocation method based on rational Legendre functions for solving the
           magneto-hydrodynamic flow over a nonlinear stretching sheet
    • Authors: Abbas Saadatmandi; Zeinab Sanatkar
      Pages: 193 - 203
      Abstract: Publication date: 15 April 2018
      Source:Applied Mathematics and Computation, Volume 323
      Author(s): Abbas Saadatmandi, Zeinab Sanatkar
      In this paper, a direct collocation method based on rational Legendre functions is proposed for solving the magneto-hydrodynamic (MHD) boundary layer flow over a nonlinear stretching sheet. Here, we use rational Legendre–Gauss–Radau nodes and transformed Hermite–Gauss nodes as interpolation points. We present the comparison of this work with some other numerical results. Moreover, residual norm shows that the present solutions are accurate and applicable.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.060
      Issue No: Vol. 323 (2017)
       
  • Symplecticity-preserving continuous-stage
           Runge–Kutta–Nyström methods
    • Authors: Wensheng Tang; Jingjing Zhang
      Pages: 204 - 219
      Abstract: Publication date: 15 April 2018
      Source:Applied Mathematics and Computation, Volume 323
      Author(s): Wensheng Tang, Jingjing Zhang
      In this paper, we develop continuous-stage Runge–Kutta–Nyström (csRKN) methods for numerical integration of second-order ordinary differential equations (ODEs) written in the form q ¨ = f ( t , q ) . Numerous ODEs in such form can be reduced to first-order ODEs with the separable form of Hamiltonian systems and symplecticity-preserving discretizations of these systems are of interest. For the sake of designing symplectic csRKN methods, we explore the sufficient conditions for symplecticity, and we show a simple way to derive symplectic RKN-type integrators by using Legendre polynomial expansion. Numerical results show the efficiency of the presented methods.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.054
      Issue No: Vol. 323 (2017)
       
  • An integrable generalization of the D-Kaup–Newell soliton hierarchy and
           its bi-Hamiltonian reduced hierarchy
    • Authors: Morgan McAnally; Wen-Xiu Ma
      Pages: 220 - 227
      Abstract: Publication date: 15 April 2018
      Source:Applied Mathematics and Computation, Volume 323
      Author(s): Morgan McAnally, Wen-Xiu Ma
      We present a new spectral problem, a generalization of the D-Kaup–Newell spectral problem, associated with the Lie algebra sl( 2 , R ). Zero curvature equations furnish the soliton hierarchy. The trace identity produces the Hamiltonian structure for the hierarchy and shows its Liouville integrability. Lastly, a reduction of the spectral problem is shown to have a different soliton hierarchy with a bi-Hamiltonian structure. The major motivation of this paper is to present spectral problems that generate two soliton hierarchies with infinitely many conservation laws and high-order symmetries.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.004
      Issue No: Vol. 323 (2017)
       
  • Completing a well-balanced numerical method for a model of two-phase flows
           by computing correctors
    • Authors: Mai Duc Thanh
      Pages: 6 - 29
      Abstract: Publication date: 1 April 2018
      Source:Applied Mathematics and Computation, Volume 322
      Author(s): Mai Duc Thanh
      We complete a well-balanced numerical method by introducing computing correctors to an earlier scheme for a model of two-phase flows. Each improvement based on a corrector to the scheme is designed to reduce the size of the errors across the interface of each node when using the solid contact to absorb the nonconservative terms. Three correctors of two kinds are presented. One corrector of the first kind is designed to correct the states on both side of the solid contact at each node and the corresponding numerical flux before applying the iterative scheme. Two correctors of the second kind are designed to correct the state given by the iterative scheme depending on the sign of the velocity of the solid contact. These improvements are still well-balanced schemes. Tests show that the improvement by using the corrector of the first kind gives relatively better results, and the improvements by using one corrector of the second kind give much better results. Interestingly, we find that improvements by using a corrector of second kind can resolve the accuracy problem of the existing scheme when its approximate solutions might converge to the solution slightly different from the exact solution.

      PubDate: 2017-12-12T14:00:54Z
      DOI: 10.1016/j.amc.2017.11.031
      Issue No: Vol. 322 (2017)
       
  • Local antimagic labeling of graphs
    • Authors: Xiaowei Yu; Jie Hu; Donglei Yang; Jianliang Wu; Guanghui Wang
      Pages: 30 - 39
      Abstract: Publication date: 1 April 2018
      Source:Applied Mathematics and Computation, Volume 322
      Author(s): Xiaowei Yu, Jie Hu, Donglei Yang, Jianliang Wu, Guanghui Wang
      A k-labeling of a graph G is an injective function ϕ from E(G) to m + k real numbers, where m = E ( G ) . Let μ G ( v ) = ∑ u v ∈ E ( G ) ϕ ( u v ) . A graph is called antimagic if G admits a 0-labeling with labels in { 1 , 2 , … , E ( G ) } such that μG (u) ≠ μG (v) for any pair u, v ∈ V(G). A well-known conjecture of Hartsfield and Ringel states that every connected graph other than K 2 admits an antimagic labeling. Recently, two sets of authors Arumugam, Premalatha, Băca, Semanĭcová-Fen̆ov̆cíková, and Bensmail, Senhaji, Lyngsie independently introduced the weaker notion of a local antimagic labeling, which only distinguishes adjacent vertices by sum with labels in { 1 , 2 , … , E ( G ) } . Both sets of authors conjecture that any connected graph other than K 2 admits a local antimagic labeling. In this paper, we prove that every subcubic graph without isolated edges admits a local antimagic labeling with E(G) positive real labels. We also prove that each graph G without isolated edges admits a local antimagic k-labeling, where k = min { Δ ( G ) + 1 , 3 c o l ( G ) + 3 2 } , and col(G) is the coloring number of G. Actually, the latter result holds for the list version.

      PubDate: 2017-12-12T14:00:54Z
      DOI: 10.1016/j.amc.2017.10.008
      Issue No: Vol. 322 (2017)
       
  • Two-dimensional shifted Legendre polynomials operational matrix method for
           solving the two-dimensional integral equations of fractional order
    • Authors: Esmail Hesameddini; Mehdi Shahbazi
      Pages: 40 - 54
      Abstract: Publication date: 1 April 2018
      Source:Applied Mathematics and Computation, Volume 322
      Author(s): Esmail Hesameddini, Mehdi Shahbazi
      This work approximates the unknown functions based on the two-dimensional shifted Legendre polynomials operational matrix method (2D-SLPOM) for the numerical solution of two-dimensional fractional integral equations. The present method reduces these equations to a system of algebraic equations and then this system will be solved numerically by Newton’s method. Moreover, an estimation of the error bound for this algorithm will be shown by preparing some theorems. Some examples are presented to demonstrate the validity and applicability of the proposed method with respect to the two-dimensional block pulse functions method (2D-BPFs) and two-dimensional Bernstein polynomials operational matrix method (2D-BPOM).

      PubDate: 2017-12-12T14:00:54Z
      DOI: 10.1016/j.amc.2017.11.024
      Issue No: Vol. 322 (2017)
       
  • A collocation method for fractional diffusion equation in a long time with
           Chebyshev functions
    • Authors: A. Baseri; S. Abbasbandy; E. Babolian
      Pages: 55 - 65
      Abstract: Publication date: 1 April 2018
      Source:Applied Mathematics and Computation, Volume 322
      Author(s): A. Baseri, S. Abbasbandy, E. Babolian
      In this paper, our aim is to find a new numerical method for diffusion equation with fractional derivative on time and space. The employed fractional derivative is in the Caputo sense. Also, by employing a class of shifted Chebyshev polynomials for the space area and a collection of rational Chebyshev functions for the time domain and then using collocation method, we obtain an algebraic system of equations. The convergence estimate of the new scheme have been concluded. Finally, we evaluate results of this method with other numerical methods.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.048
      Issue No: Vol. 322 (2017)
       
  • Backstepping boundary observer based-control for hyperbolic PDE in rotary
           drilling system
    • Authors: Rhouma Mlayeh; Samir Toumi; Lotfi Beji
      Pages: 66 - 78
      Abstract: Publication date: 1 April 2018
      Source:Applied Mathematics and Computation, Volume 322
      Author(s): Rhouma Mlayeh, Samir Toumi, Lotfi Beji
      It is well known that torsional vibrations in oil well system affect the drilling directions and may be inherent for drilling systems. The drill pipe model is described by second order hyperbolic Partial Differential Equation (PDE) with mixed boundary conditions in which a sliding velocity is considered at the top end. In this paper, we consider the problem of boundary observer design for one-dimensional PDE with the usually neglected damping term. The main purpose is the construction of a control law which stabilizes the damped wave PDE, using only boundary measurements. From the Lyapunov theory, we show an exponentially vibration stability of the partially equipped oil well drilling system. The observer-based control law is found using the backstepping approach for second-order hyperbolic PDE. The numerical simulations confirm the effectiveness of the proposed PDE observer based controller.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.034
      Issue No: Vol. 322 (2017)
       
  • Robust disturbance rejection for uncertain fractional-order systems
    • Authors: Rui-Juan Liu; Zhuo-Yun Nie; Min Wu; Jinhua She
      Pages: 79 - 88
      Abstract: Publication date: 1 April 2018
      Source:Applied Mathematics and Computation, Volume 322
      Author(s): Rui-Juan Liu, Zhuo-Yun Nie, Min Wu, Jinhua She
      This paper describes a disturbance rejection scheme that adopts equivalent-input-disturbance (EID) approach for uncertain fractional-order (FO) systems. An EID estimator that contains an FO observer is designed to actively compensate for the disturbances and process modeling uncertainties without requiring their prior knowledge. Under the construction of the FO control system, a robust stability condition and the parameters of the controller are derived using a linear matrix inequality based method. Finally, numerical and practical examples are illustrated to demonstrate the validity and superiority of the method.

      PubDate: 2017-12-12T14:00:54Z
      DOI: 10.1016/j.amc.2017.11.021
      Issue No: Vol. 322 (2017)
       
  • Adaptive synchronization of memristor-based BAM neural networks with mixed
           delays
    • Authors: Chuan Chen; Lixiang Li; Haipeng Peng; Yixian Yang
      Pages: 100 - 110
      Abstract: Publication date: 1 April 2018
      Source:Applied Mathematics and Computation, Volume 322
      Author(s): Chuan Chen, Lixiang Li, Haipeng Peng, Yixian Yang
      This paper investigates the adaptive synchronization of memristor-based BAM neural networks (MBAMNNs) with discrete delay and distributed delay (mixed delays). We design two kinds of adaptive feedback controllers, under which the considered MBAMNNs can achieve asymptotic synchronization and exponential synchronization respectively. The adaptive feedback controllers can be utilized even when there is no perfect knowledge of the system parameters. Furthermore, computing algebraic conditions and solving linear matrix inequalities are not needed to determine suitable control gains. Numerical simulations illustrate the effectiveness of the theoretical results.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.037
      Issue No: Vol. 322 (2017)
       
  • A sharp Pólya-based approximation to the normal cumulative
           distribution function
    • Authors: Ivan Matić; Radoš Radoičić; Dan Stefanica
      Pages: 111 - 122
      Abstract: Publication date: 1 April 2018
      Source:Applied Mathematics and Computation, Volume 322
      Author(s): Ivan Matić, Radoš Radoičić, Dan Stefanica
      We study an expansion of the cumulative distribution function of the standard normal random variable that results in a family of closed form approximations that converge at 0. One member of the family that has only five explicit constants offers the absolute error of 5.79 · 10 − 6 across the entire range of real numbers. With its simple form and applicability for all real numbers, our approximation surpasses either in computational efficiency or in relative error, and most often in both, other approximation formulas based on numerical algorithms or ad-hoc approximations. An extensive overview and classification of the existing approximations from the literature is included.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.10.019
      Issue No: Vol. 322 (2017)
       
  • Stability and convergence of compact finite difference method for
           parabolic problems with delay
    • Authors: Fengyan Wu; Dongfang Li; Jinming Wen; Jinqiao Duan
      Pages: 129 - 139
      Abstract: Publication date: 1 April 2018
      Source:Applied Mathematics and Computation, Volume 322
      Author(s): Fengyan Wu, Dongfang Li, Jinming Wen, Jinqiao Duan
      The compact finite difference method becomes more acceptable to approximate the diffusion operator than the central finite difference method since it gives a better convergence result in spatial direction without increasing the computational cost. In this paper, we apply the compact finite difference method and the linear θ-method to numerically solve a class of parabolic problems with delay. Stability of the fully discrete numerical scheme is investigated by using the spectral radius condition. When θ ∈ [ 0 , 1 2 ) , a sufficient and necessary condition is presented to show that the fully discrete numerical scheme is stable. When θ ∈ [ 1 2 , 1 ] , the fully discrete numerical method is proved to be unconditionally asymptotically stable. Moreover, convergence of the fully discrete scheme is studied. Finally, several numerical examples are presented to illustrate our theoretical results.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.032
      Issue No: Vol. 322 (2017)
       
  • Splitting methods for differential approximations of the radiative
           transfer equation
    • Authors: Jie Sun; Joseph A. Eichholz
      Pages: 140 - 150
      Abstract: Publication date: 1 April 2018
      Source:Applied Mathematics and Computation, Volume 322
      Author(s): Jie Sun, Joseph A. Eichholz
      The radiative transfer equation (RTE) has wide applications in sciences and engineering. Due to high dimensionality and integro-differential nature, the equation is difficult to solve numerically. In the literature, several approximation methods for solving the RTE numerically have been developed. Among them, a family of differential approximations of RTE, the so-called RT/DAE was proposed. In this paper, we establish a framework of the splitting method for RT/DAE and provide convergence analysis. We introduce the classic source iteration method, compare it with the new splitting method and prove the splitting method has superior convergence properties. Finally, we provide numerical examples demonstrating the effectiveness of the splitting method.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.026
      Issue No: Vol. 322 (2017)
       
  • Wiener polarity index of dendrimers
    • Authors: Guoliang Liu; Guodong Liu
      Pages: 151 - 153
      Abstract: Publication date: 1 April 2018
      Source:Applied Mathematics and Computation, Volume 322
      Author(s): Guoliang Liu, Guodong Liu
      Network structures have many applications in biological, information theory, physical and social sciences. Research on network measurements is more and more important recently. A number of topological indices have been studied as descriptors of complex networks. The Wiener polarity index has been introduced for a long time and known to be related to the cluster coefficient of networks. In this paper, we study the Wiener polarity index of dendrimers, which has many applications in other fields.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.038
      Issue No: Vol. 322 (2017)
       
  • Error analysis of projection methods for non inf-sup stable mixed finite
           elements. The transient Stokes problem
    • Authors: Javier de Frutos; Bosco García-Archilla; Julia Novo
      Pages: 154 - 173
      Abstract: Publication date: 1 April 2018
      Source:Applied Mathematics and Computation, Volume 322
      Author(s): Javier de Frutos, Bosco García-Archilla, Julia Novo
      A modified Chorin–Teman (Euler non-incremental) projection method and a modified Euler incremental projection method for non inf-sup stable mixed finite elements are analyzed. The analysis of the classical Euler non-incremental and Euler incremental methods are obtained as a particular case. We first prove that the modified Euler non-incremental scheme has an inherent stabilization that allows the use of non inf-sup stable mixed finite elements without any kind of extra added stabilization. We show that it is also true in the case of the classical Chorin–Temam method. For the second scheme, we study a stabilization that allows the use of equal-order pairs of finite elements. The relation of the methods with the so-called pressure stabilized Petrov Galerkin method (PSPG) is established. The influence of the chosen initial approximations in the computed approximations to the pressure is analyzed. Numerical tests confirm the theoretical results.

      PubDate: 2017-12-26T17:25:14Z
      DOI: 10.1016/j.amc.2017.11.046
      Issue No: Vol. 322 (2017)
       
  • Polyhedral graphs via their automorphism groups
    • Authors: Modjtaba Ghorbani; Mahin Songhori
      Pages: 1 - 10
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): Modjtaba Ghorbani, Mahin Songhori
      A polyhedral graph is a three connected simple planar graph. An automorphism of a graph is a bijection on its vertices which preserves the edge set. In this paper, we compute the automorphism group of cubic polyhedral graphs whose faces are triangles, quadrangles, pentagons and hexagons. In continuing, we classify all cubic polyhedral graphs with Cayley graph structure.

      PubDate: 2017-11-09T09:37:31Z
      DOI: 10.1016/j.amc.2017.10.028
      Issue No: Vol. 321 (2017)
       
  • The convergence rate of semi-supervised regression with quadratic loss
    • Authors: Baohuai Sheng; Hancan Zhu
      Pages: 11 - 24
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): Baohuai Sheng, Hancan Zhu
      It is known that the semi-supervised learning deals with learning algorithms with less labeled samples and more unlabeled samples. One of the problems in this field is to show, at what extent, the performance depends upon the unlabeled number. A kind of modified semi-supervised regularized regression with quadratic loss is provided. The convergence rate for the error estimate is given in expectation mean. It is shown that the learning rate is controlled by the number of the unlabeled samples, and the algorithm converges with the increasing of the unlabeled sample number.

      PubDate: 2017-11-09T09:37:31Z
      DOI: 10.1016/j.amc.2017.10.033
      Issue No: Vol. 321 (2017)
       
  • The increase in the resolvent energy of a graph due to the addition of a
           new edge
    • Authors: Alexander Farrugia
      Pages: 25 - 36
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): Alexander Farrugia
      The resolvent energy ER(G) of a graph G on n vertices whose adjacency matrix has eigenvalues λ 1 , … , λ n is the sum of the reciprocals of the numbers n − λ 1 , … , n − λ n . We introduce the resolvent energy matrix R(G) and present an algorithm that produces this matrix. This algorithm may also be used to update R(G) when new edges are introduced to G. Using the resolvent energy matrix R(G), we determine the increase in the resolvent energy ER(G) of G caused by such edge additions made to G. Moreover, we express this increase in terms of the characteristic polynomial of G and the characteristic polynomials of three vertex-deleted subgraphs of G.

      PubDate: 2017-11-09T09:37:31Z
      DOI: 10.1016/j.amc.2017.10.020
      Issue No: Vol. 321 (2017)
       
  • A note on “Convergence radius of Osada’s method under Hölder
           continuous condition”
    • Authors: José L. Hueso; Eulalia Martínez; D.K. Gupta; Fabricio Cevallos
      Pages: 689 - 699
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): José L. Hueso, Eulalia Martínez, D.K. Gupta, Fabricio Cevallos
      In this paper we revise the proofs of the results obtained in “Convergence radius of Osada’s method under Hölder continuous condition” [4], because the remainder of the Taylor’s expansion used for the obtainment of the local convergence radius is not correct. So we perform the complete study in order to modify the equation for getting the local convergence radius, the uniqueness radius and the error bounds. Moreover a dynamical study for the third order Osada’s method is also developed.

      PubDate: 2017-12-12T14:00:54Z
      DOI: 10.1016/j.amc.2017.11.003
      Issue No: Vol. 321 (2017)
       
  • Çinlar subgrid scale model for large eddy simulation
    • Authors: Kara
      Abstract: Publication date: 1 April 2018
      Source:Applied Mathematics and Computation, Volume 322
      Author(s): R. Kara, M. Çağlar
      We construct a new subgrid scale (SGS) stress model for representing the small scale effects in large eddy simulation (LES) of incompressible flows. We use the covariance tensor for representing the Reynolds stress and include Clark’s model for the cross stress. The Reynolds stress is obtained analytically from Çinlar random velocity field, which is based on vortex structures observed in the ocean at the subgrid scale. The validity of the model is tested with turbulent channel flow computed in OpenFOAM. It is compared with the most frequently used dynamic Smagorinsky and one-equation eddy SGS models through DNS data.

      PubDate: 2017-12-26T17:25:14Z
       
  • On the dot product of graphs over monogenic semigroups
    • Authors: Nihat
      Abstract: Publication date: 1 April 2018
      Source:Applied Mathematics and Computation, Volume 322
      Author(s): Nihat Akgüneş, Büşra Çağan
      Now define S a cartesian product of finite times with S M n which is a finite semigroup having elements { 0 , x , x 2 , … , x n } of order n. Γ(S) is an undirected graph whose vertices are the nonzero elements of S. It is a new graph type which is the dot product. k be finite positive integer for 0 ≤ { i t } t = 1 k , { j t } t = 1 k ≤ n , any two distinct vertices of S ( x i 1 , x i 2 , … , x i k ) and ( x j 1 , x j 2 , … , x j k ) are adjacent if and only ( x i 1 , x i 2 , … , x i k ) · ( x j 1 , x j 2 , … , x j k ) = 0 S M n (under the dot product) and it is assumed x i t = 0 S M n if i t = 0 . In this study, the value of diameter, girth, maximum and minimum degrees, domination number, clique and chromatic numbers and in parallel with perfectness of Γ(S) are elucidated.

      PubDate: 2017-12-12T14:00:54Z
       
 
 
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