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COMPUTER SCIENCE (1172 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: 15)
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: 4)
ACM Transactions on Algorithms (TALG)     Hybrid Journal   (Followers: 16)
ACM Transactions on Applied Perception (TAP)     Hybrid Journal   (Followers: 6)
ACM Transactions on Architecture and Code Optimization (TACO)     Hybrid Journal   (Followers: 9)
ACM Transactions on Autonomous and Adaptive Systems (TAAS)     Hybrid Journal   (Followers: 7)
ACM Transactions on Computation Theory (TOCT)     Hybrid Journal   (Followers: 12)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 3)
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: 2)
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: 7)
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: 6)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 18)
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: 27)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 11)
Advances in Human Factors/Ergonomics     Full-text available via subscription   (Followers: 27)
Advances in Human-Computer Interaction     Open Access   (Followers: 21)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Operations Research     Open Access   (Followers: 12)
Advances in Parallel Computing     Full-text available via subscription   (Followers: 7)
Advances in Porous Media     Full-text available via subscription   (Followers: 5)
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: 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: 3)
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: 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: 137)
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: 287)
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: 47)
British Journal of Educational Technology     Hybrid Journal   (Followers: 139)
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: 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: 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: 91)
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: 22)

        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  [3123 journals]
  • A compact fourth-order in space energy-preserving method for Riesz
           space-fractional nonlinear wave equations
    • Abstract: Publication date: 15 May 2018
      Source:Applied Mathematics and Computation, Volume 325
      Author(s): J.E. Macías-Díaz, A.S. Hendy, R.H. De Staelen
      In this work, we investigate numerically a nonlinear hyperbolic partial differential equation with space fractional derivatives of the Riesz type. The model under consideration generalizes various nonlinear wave equations, including the sine-Gordon and the nonlinear Klein–Gordon models. The system considered in this work is conservative when homogeneous Dirichlet boundary conditions are imposed. Motivated by this fact, we propose a finite-difference method based on fractional centered differences that is capable of preserving the discrete energy of the system. The method under consideration is a nonlinear implicit scheme which has various numerical properties. Among the most interesting numerical features, we show that the methodology is consistent of second order in time and fourth order in space. Moreover, we show that the technique is stable and convergent. Some numerical simulations show that the method is capable of preserving the energy of the discrete system. This characteristic of the technique is in obvious agreement with the properties of its continuous counterpart.

      PubDate: 2018-01-10T08:03:17Z
  • Bijections for inversion sequences, ascent sequences and 3-nonnesting set
    • Abstract: Publication date: 15 May 2018
      Source:Applied Mathematics and Computation, Volume 325
      Author(s): Sherry H.F. Yan
      Set partitions avoiding k-crossing and k-nesting have been extensively studied from the aspects of both combinatorics and mathematical biology. By using the generating tree technique, the obstinate kernel method and Zeilberger’s algorithm, Lin confirmed a conjecture due independently to the author and Martinez–Savage that asserts inversion sequences with no weakly decreasing subsequence of length 3 and enhanced 3-nonnesting partitions have the same cardinality. In this paper, we provide a bijective proof of this conjecture. Our bijection also enables us to provide a new bijective proof of a conjecture posed by Duncan and Steingrímsson, which was proved by the author via an intermediate structure of growth diagrams for 01-fillings of Ferrers shapes.

      PubDate: 2018-01-10T08:03:17Z
  • A unified framework for asymptotic and transient behavior of linear
           stochastic systems
    • Abstract: Publication date: 15 May 2018
      Source:Applied Mathematics and Computation, Volume 325
      Author(s): Zhiguo Yan, Ju H. Park, Weihai Zhang
      This paper is concerned with a unified framework for asymptotic and transient behavior of stochastic systems. In order to explain this problem explicitly, a concept of mean square (γ, α)-stability is first introduced and two stability criteria are derived. By utilizing an auxiliary definition of mean square (γ, T)-stability, the relations among mean square (γ, α)-stability, mean square (γ, T)-stability and finite-time stochastic stability are established. Subsequently, two new sufficient conditions for the existence of state and output feedback mean square (γ, α)-stabilization controllers are presented in terms of matrix inequalities. A numerical algorithm is given to obtain the relation between γ min  and α. Finally, an example is given to illustrate our results.

      PubDate: 2018-01-10T08:03:17Z
  • H∞ consensus for nonlinear stochastic multi-agent systems with time
    • Abstract: Publication date: 15 May 2018
      Source:Applied Mathematics and Computation, Volume 325
      Author(s): Jianping Zhou, Chengyan Sang, Xiao Li, Muyun Fang, Zhen Wang
      This paper is concerned with the problem of H ∞ consensus for nonlinear stochastic multi-agent systems with time-delay. The objective is to design a dynamic output feedback protocol such that the multi-agent system reaches consensus in mean square and has a prescribed H ∞ performance level. First, by transforming models, the H ∞ consensus problem is converted to a standard H ∞ control problem. Then, by using the Lyapunov–Krasovskii functional method and the generalized Itô’s formula, both delay-independent and delay-dependent stochastic bounded real lemmas are developed. Based on these, sufficient conditions on the existence of the desired dynamic output feedback protocol are presented in the form of linear matrix inequalities. Finally, two numerical examples are given to illustrate the effectiveness of the proposed results.

      PubDate: 2018-01-10T08:03:17Z
  • A finite element method for Maxwell polynomial chaos Debye model
    • Abstract: Publication date: 15 May 2018
      Source:Applied Mathematics and Computation, Volume 325
      Author(s): Changhui Yao, Yuzhen Zhou, Shanghui Jia
      ‘In this paper, a finite element method is presented to approximate Maxwell–Polynomial Chaos(PC) Debye model in two spatial dimensions. The existence and uniqueness of the weak solutions are presented firstly according with the differential equations by using the Laplace transform. Then the property of energy decay with respect to the time is derived. Next, the lowest Nédélec–Raviart–Thomas element is chosen in spatial discrete scheme and the Crank–Nicolson scheme is employed in time discrete scheme. The stability of full-discrete scheme is explored before an error estimate of accuracy O ( Δ t 2 + h ) is proved under the L 2 − norm. Numerical experiment is demonstrated for showing the correctness of the results.

      PubDate: 2018-01-10T08:03:17Z
  • A class of compact boundary value methods applied to semi-linear
           reaction–diffusion equations
    • Abstract: Publication date: 15 May 2018
      Source:Applied Mathematics and Computation, Volume 325
      Author(s): Huiru Wang, Chengjian Zhang, Yongtao Zhou
      This paper deals with a class of compact boundary value methods (CBVMs) for solving semi-linear reaction–diffusion equations (SLREs). The presented CBVMs are constructed by combining a fourth-order compact difference method (CDM) with the p-order boundary value methods (BVMs), where the former is for the spatial discretization and the latter for temporal discretization. It is proven under some suitable conditions that the CBVMs are locally stable and uniquely solvable and have fourth-order accuracy in space and p-order accuracy in time. The computational effectiveness and accuracy of CBVMs are further testified by applying the methods to the Fisher equation. Besides these research, we also extend the CBVMs to solve the two-component coupled system of SLREs. The numerical experiment shows that the extended CBVMs are effective and can arrive at the high-precision.

      PubDate: 2018-01-10T08:03:17Z
  • An inverse problem of identifying the control function in two and
           three-dimensional parabolic equations through the spectral meshless radial
           point interpolation
    • Abstract: Publication date: 15 May 2018
      Source:Applied Mathematics and Computation, Volume 325
      Author(s): Elyas Shivanian, Ahmad Jafarabadi
      This study proposes a kind of spectral meshless radial point interpolation (SMRPI) for solving two and three-dimensional parabolic inverse problems on regular and irregular domains. The SMRPI is developed for identifying the control parameter which satisfies the semilinear time-dependent two and three-dimensional diffusion equation with both integral overspecialization and overspecialization at a point in the spatial domain. This method is based on a combination of meshless methods and spectral collocation techniques. The point interpolation method with the help of radial basis functions are used to construct shape functions which act as basis functions in the frame of SMRPI. It is proved that the scheme is stable with respect to the time variable in H 1 and convergent by the order of convergence O(δt). The results of numerical experiments are compared to analytical solutions to confirm the accuracy and efficiency of the presented scheme.

      PubDate: 2018-01-10T08:03:17Z
  • Linear Bhatnagar–Gross–Krook equations for simulation of linear
           diffusion equation by lattice Boltzmann method
    • Abstract: Publication date: 15 May 2018
      Source:Applied Mathematics and Computation, Volume 325
      Author(s): Gerasim V. Krivovichev
      In the paper, a system of hyperbolic linear Bhatnagar–Gross–Krook equations with single relaxation time for simulation of linear diffusion is presented. The lattices based on orthogonal, antitropic and null velocities are considered. Cases of parametric and non-parametric coefficients are considered. The Chapman–Enskog method is applied to the derivation of the linear diffusion equation from the proposed system. The expression for the diffusion coefficient with dependency on relaxation time is obtained. The structure of the solution of the proposed system is analyzed. Lattice Boltzmann equations and finite-difference-based lattice Boltzmann schemes are considered as discrete approximations for the proposed system. The existence of the fictitious numerical diffusion is demonstrated. Stability with respect to initial conditions is analyzed by investigation of wave modes. The necessary stability condition is written as a physical consistent condition of positivity of relaxation time. The sufficiency of this condition is demonstrated analytically and numerically for all considered lattices in parametric and nonparametric cases. It is demonstrated, that the dispersion of the solutions takes place at some values of relaxation time and parameter. The dispersion exists due to hyperbolicity of the proposed system. The presence of the dispersion may lead to effects, which are not typical for the solution of linear diffusion equation. But it is demonstrated, that the effect of the dispersion may take place only in the cases, when image parts of the frequencies of wave modes are equal to null. In the case of positive image parts this effect is damped and solutions decrease at the same manner, as a solution of the diffusion equation. Presented system may be considered as a basis for the construction of lattice Boltzmann equations and lattice Boltzmann schemes of various accuracy orders.

      PubDate: 2018-01-10T08:03:17Z
  • Regularized moving least-square method and regularized improved
    • Abstract: Publication date: 15 May 2018
      Source:Applied Mathematics and Computation, Volume 325
      Author(s): Qiao Wang, Wei Zhou, Yonggang Cheng, Gang Ma, Xiaolin Chang, Yu Miao, E Chen
      The moving least-square (MLS) method has been popular applied in surface construction and meshless methods. However, the moment matrix in MLS method may be singular for ill quality point sets and the computation of the inverse of the singular moment matrix is difficult. To overcome this problem, a regularized moving least-square method with nonsingular moment matrix is proposed. The shape functions obtained from the regularized MLS method still do not have the delta function property and may result in difficulty for imposing boundary conditions in regularized MLS based meshless method. To overcome this problem, a regularized improved interpolating moving least-square (IIMLS) method based on the IIMLS method is also proposed. Compared with the regularized MLS method, the regularized IIMLS not only has nonsingular moment matrices, but also obtains shape functions with delta function property. Shape functions of the proposed methods are compared in 1D and 2D cases, and the methods have been applied in curve fitting, surface fitting and meshless method in numerical examples.

      PubDate: 2018-01-10T08:03:17Z
  • Positivity-preserving sixth-order implicit finite difference weighted
           essentially non-oscillatory scheme for the nonlinear heat equation
    • Abstract: Publication date: 15 May 2018
      Source:Applied Mathematics and Computation, Volume 325
      Author(s): Mojtaba Hajipour, Amin Jajarmi, Alaeddin Malek, Dumitru Baleanu
      This paper presents a class of semi-implicit finite difference weighted essentially non-oscillatory (WENO) schemes for solving the nonlinear heat equation. For the discretization of second-order spatial derivatives, a sixth-order modified WENO scheme is directly implemented. This scheme preserves the positivity principle and rejects spurious oscillations close to non-smooth points. In order to admit large time steps, a class of implicit Runge–Kutta methods is used for the temporal discretization. The implicit parts of these methods are linearized in time by using the local Taylor expansion of the flux. The stability analysis of the semi-implicit WENO scheme with 3-stages form is provided. Finally, some comparative results for one-, two- and three-dimensional PDEs are included to illustrate the effectiveness of the proposed approach.

      PubDate: 2018-01-10T08:03:17Z
  • The Riemann problem for the shallow water equations with horizontal
           temperature gradients
    • Abstract: Publication date: 15 May 2018
      Source:Applied Mathematics and Computation, Volume 325
      Author(s): Mai Duc Thanh
      We consider the Riemann problem for the system of shallow water equations with horizontal temperature gradients (the Ripa system). The model under investigation has the form of a nonconservative system, and it is hyperbolic, but is not strictly hyperbolic. We construct all solutions of the Riemann problem. It turns out that there may be up to three distinct solutions. A resonant phenomenon which causes the colliding shock waves is observed, where multiple waves associated with different characteristic fields propagate with the same shock speed.

      PubDate: 2018-01-10T08:03:17Z
  • Compactly supported Parseval framelets with symmetry associated to
           Ed(2)(Z) matrices
    • Abstract: Publication date: 15 May 2018
      Source:Applied Mathematics and Computation, Volume 325
      Author(s): A. San Antolín, R.A. Zalik
      Let d ≥ 1. For any A ∈ Z d × d such that det A = 2 , we construct two families of Parseval wavelet frames with two generators. These generators have compact support, any desired number of vanishing moments, and any given degree of regularity. The first family is real valued while the second family is complex valued. To construct these families we use Daubechies low pass filters to obtain refinable functions, and adapt methods employed by Chui and He and Petukhov for dyadic dilations to this more general case. We also construct several families of Parseval wavelet frames with three generators having various symmetry properties. Our constructions are based on the same refinable functions and on techniques developed by Han and Mo and by Dong and Shen for the univariate case with dyadic dilations.

      PubDate: 2018-01-10T08:03:17Z
  • Inheritance of oscillation in chemical reaction networks
    • Abstract: Publication date: 15 May 2018
      Source:Applied Mathematics and Computation, Volume 325
      Author(s): Murad Banaji
      Some results are presented on how oscillation is inherited by chemical reaction networks (CRNs) when they are built in natural ways from smaller oscillatory networks. The main results describe four important ways in which a CRN can be enlarged while preserving its capacity for oscillation. The results are for general CRNs, not necessarily fully open, but lead to an important corollary for fully open networks: if a fully open CRN R with mass action kinetics admits a nondegenerate (resp., linearly stable) periodic orbit, then so do all such CRNs which include R as an induced subnetwork. This claim holds for other classes of kinetics, but fails, in general, for CRNs which are not fully open. Where analogous results for multistationarity can be proved using the implicit function theorem alone, the results here call on regular and singular perturbation theory. Equipped with these results and with the help of some analysis and numerical simulation, lower bounds are put on the proportion of small fully open CRNs capable of stable oscillation under various assumptions on the kinetics. This exploration suggests that small oscillatory motifs are an important source of oscillation in CRNs.

      PubDate: 2018-01-10T08:03:17Z
  • Numerical solution of degenerate stochastic Kawarada equations via a
           semi-discretized approach
    • Abstract: Publication date: 15 May 2018
      Source:Applied Mathematics and Computation, Volume 325
      Author(s): Joshua L. Padgett, Qin Sheng
      The numerical solution of a highly nonlinear two-dimensional degenerate stochastic Kawarada equation is investigated. A semi-discretized approximation in space is comprised on arbitrary nonuniform grids. Exponential splitting strategies are then applied to advance solutions of the semi-discretized scheme over adaptive grids in time. It is shown that key quenching solution features including the positivity and monotonicity are well preserved under modest restrictions. The numerical stability of the underlying splitting method is also maintained without any additional restriction. Computational experiments are provided to not only illustrate our results, but also provide further insights into the global nonlinear convergence of the numerical solution.

      PubDate: 2018-01-10T08:03:17Z
  • Stepwise irregular graphs
    • Abstract: Publication date: 15 May 2018
      Source:Applied Mathematics and Computation, Volume 325
      Author(s): Ivan Gutman
      A graph is stepwise irregular (SI) if the degrees of any two of its adjacent vertices differ by exactly one. Among graphs with non-zero edge imbalance, SI graphs are least irregular. Some basic properties of SI graphs are established.

      PubDate: 2018-01-10T08:03:17Z
  • A characterisation on arc-transitive graphs of prime valency
    • Abstract: Publication date: 15 May 2018
      Source:Applied Mathematics and Computation, Volume 325
      Author(s): Jing Jian Li, Bo Ling, Guodong Liu
      Let Γ be a finite simple undirected graph and G ≤ Aut(Γ). If G is transitive on the set of s-arcs but not on the set of ( s + 1 ) -arcs of Γ, then Γ is called (G, s)-transitive. For a connected (G, s)-transitive graph Γ of prime valency, the vertex-stabilizer Gα with α ∈ V(Γ) has been determined when Gα is solvable. In this paper, we give a characterization of the vertex-stabilizers of (G, s)-transitive graphs of prime valency when Gα is unsolvable.

      PubDate: 2018-01-10T08:03:17Z
  • Exact solutions via equivalence transformations of variable-coefficient
           fifth-order KdV equations
    • Abstract: Publication date: 15 May 2018
      Source:Applied Mathematics and Computation, Volume 325
      Author(s): M.S. Bruzón, R. de la Rosa, R. Tracinà
      In this paper, a family of variable-coefficient fifth-order KdV equations has been considered. By using an infinitesimal method based on the determination of the equivalence group, differential invariants and invariant equations are obtained. Invariants provide an alternative way to find equations from the family which may be equivalent to a specific subclass of the same family and the invertible transformation which maps both equivalent equations. Here, differential invariants are applied to obtain exact solutions.

      PubDate: 2018-01-10T08:03:17Z
  • Absorbing/emitting radiation and slanted hydromagnetic effects on
           micropolar liquid containing gyrostatic microorganisms
    • Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): E. Ramya, M. Muthtamilselvan, Deog Hee Doh
      A mathematical model is developed to examine the effects of radiation and slanted magnetic on boundary layer flow of a micropolar fluid containing gyrostatic microorganisms through a vertical fixed or continuous moving porous plate. The governing boundary layer equations are cast into a matrix form and solved analytically by utilizing the state space approach and the inversion of the Laplace transform is carried out, utilizing numerical approach. Numerical outcomes for the momentum, microrotation, density of motile microorganism and temperature distributions are given and illustrated graphically for the problem. Excellent agreement is found when present solutions are compared with the numerical solutions by utilizing the Crank–Nicolson implicit finite difference method. It is found that the density of the motile microorganisms is increasing functions of the bioconvection Lewis number in both cases moving and fixed plate.

      PubDate: 2018-01-10T08:03:17Z
  • Meshless methods for one-dimensional oscillatory Fredholm integral
    • Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): Zaheer-ud-DinSiraj-ul-Islam
      In this paper, efficient and simple algorithms based on Levin’s quadrature theory and our earlier work involving local radial basis function (RBF) and Chebyshev differentiation matrices, are adopted for numerical solution of one-dimensional highly oscillatory Fredholm integral equations. This work is focused on the comparative performance of local RBF meshless and pseudospectral procedures. We have tested the proposed methods on phase functions with and without stationary phase point(s), both on uniform and Chebyshev grid points. The proposed procedures are shown accurate and efficient, and therefore provide a reliable platform for the numerical solution of integral equations. From the numerical results, we draw some conclusions about accuracy, efficiency and robustness of the proposed approaches.

      PubDate: 2018-01-10T08:03:17Z
  • Reduced difference polynomials and self-intersection computations
    • Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): Rida T. Farouki
      A reduced difference polynomial f ( u , v ) = ( p ( u ) − p ( v ) ) / ( u − v ) may be associated with any given univariate polynomial p(t), t ∈ [ 0, 1 ] such that the locus f ( u , v ) = 0 identifies the pairs of distinct values u and v satisfying p ( u ) = p ( v ) . The Bernstein coefficients of f(u, v) on [ 0, 1 ]2 can be determined from those of p(t) through a simple algorithm, and can be restricted to any subdomain of [ 0, 1 ]2 by standard subdivision methods. By constructing the reduced difference polynomials f(u, v) and g(u, v) associated with the coordinate components of a polynomial curve r ( t ) = ( x ( t ) , y ( t ) ) , a quadtree decomposition of [ 0, 1 ]2 guided by the variation-diminishing property yields a numerically stable scheme for isolating real solutions of the system f ( u , v ) = g ( u , v ) = 0 , which identify self-intersections of the curve r(t). Through the Kantorovich theorem for guaranteed convergence of Newton–Raphson iterations to a unique solution, the self-intersections can be efficiently computed to machine precision. By generalizing the reduced difference polynomial to encompass products of univariate polynomials, the method can be readily extended to compute the self-intersections of rational curves, and of the rational offsets to Pythagorean–hodograph curves.

      PubDate: 2018-01-10T08:03:17Z
  • On the ordering of distance-based invariants of graphs
    • Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): Muhuo Liu, Kinkar Ch. Das
      Let d(u, v) be the distance between u and v of graph G, and let Wf (G) be the sum of f(d(u, v)) over all unordered pairs {u, v} of vertices of G, where f(x) is a function of x. In some literatures, Wf (G) is also called the Q-index of G. In this paper, some unified properties to Q-indices are given, and the majorization theorem is illustrated to be a good tool to deal with the ordering problem of Q-index among trees with n vertices. With the application of our new results, we determine the four largest and three smallest (resp. four smallest and three largest) Q-indices of trees with n vertices for strictly decreasing (resp. increasing) nonnegative function f(x), and we also identify the twelve largest (resp. eighteen smallest) Harary indices of trees of order n ≥ 22 (resp. n ≥ 38) and the ten smallest hyper-Wiener indices of trees of order n ≥ 18, which improve the corresponding main results of Xu (2012) and Liu and Liu (2010), respectively. Furthermore, we obtain some new relations involving Wiener index, hyper-Wiener index and Harary index, which gives partial answers to some problems raised in Xu (2012).

      PubDate: 2018-01-10T08:03:17Z
  • Stable strategies analysis based on the utility of Z-number in the
           evolutionary games
    • Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): Bingyi Kang, Gyan Chhipi-Shrestha, Yong Deng, Kasun Hewage, Rehan Sadiq
      Evolutionary games with the fuzzy set are attracting growing interest. While among previous studies, the role of the reliability of knowledge in such an infrastructure is still virgin and may become a fascinating issue. Z-number is combined with “restriction” and “reliability”, which is an efficient framework to simulate the thinking of human. In this paper, the stable strategies analysis based on the utility of Z-number in the evolutionary games is proposed, which can simulate the procedure of human’s competition and cooperation more authentically and more flexibly. Some numerical examples and an application are used to illustrate the effectiveness of the proposed methodology. Results show that total utility of Z-number can be used as an index to extend the classical evolutionary games into ones linguistic-based, which is applicable in the real applications since the payoff matrix is always determined by the knowledge of human using uncertain information, e.g., (outcome of the next year, about fifty thousand dollars, likely).

      PubDate: 2018-01-10T08:03:17Z
  • Numerical solution of the Degasperis–Procesi equation by the cubic
           B-spline quasi-interpolation method
    • Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): JiHong Zhang, JunSheng Zheng, QinJiao Gao
      In this paper, a numerical scheme is presented to solve the non-dissipative Degasperis–Procesi equation based on the u-p formulation. The cubic B-spline quasi-interpolation coupled with the finite difference method is applied to approximate the spatial derivatives and an optimal third order TVD Runge–Kutta method to estimate the time derivative of the dependent variable. The accuracy and effectiveness of the proposed method are validated by six classical problems. Numerical results indicate that the proposed scheme is simple, easy to implement with high accuracy.

      PubDate: 2018-01-10T08:03:17Z
  • Generalized Szász–Mirakyan operators involving Brenke type
    • Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): Kejal Khatri, Vishnu Narayan Mishra
      The aim of the present paper is to introduce generalized Szász–Mirakyan operators including Brenke type polynomials and investigate their approximation properties. We obtain convergence properties of our operators with the help of Korovkin’s theorem and the order of convergence by using a classical approach, the second modulus of continuity and Peetre’s K-functional. We also give asymptotic formula and the convergence of the derivatives for these operators. Furthermore, an example of Szász–Mirakyan operators including Gould–Hopper polynomials is presented. In the end, we show graphical representation.

      PubDate: 2018-01-10T08:03:17Z
  • Non-uniform interpolatory subdivision surface
    • Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): Xin Li, Yubo Chang
      This paper presents an interpolatory subdivision scheme with non-uniform parametrization for arbitrary polygon meshes with arbitrary manifold topology. This is the first attempt to generalize the non-uniform four point interpolatory curve subdivision to surface with extraordinary points. The scheme is constructed from the inspiration of the relation between the non-uniform four-point interpolatory subdivision scheme and the non-uniform B-spline refinement rule. Numerical examples and comparisons with the uniform interpolatory subdivision schemes indicate that the quality of the limit surface can be improved by using non-uniform parameter values for non-uniform initial data.

      PubDate: 2018-01-10T08:03:17Z
  • Exploring delayed Mittag-Leffler type matrix functions to study finite
           time stability of fractional delay differential equations
    • Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): Mengmeng Li, JinRong Wang
      In this paper, we introduce a concept of delayed two parameters Mittag-Leffler type matrix function, which is an extension of the classical Mittag-Leffler matrix function. With the help of the delayed two parameters Mittag-Leffler type matrix function, we give an explicit formula of solutions to linear nonhomogeneous fractional delay differential equations via the variation of constants method. In addition, we prove the existence and uniqueness of solutions to nonlinear fractional delay differential equations. Thereafter, we present finite time stability results of nonlinear fractional delay differential equations under mild conditions on nonlinear term. Finally, an example is presented to illustrate the validity of the main theorems.

      PubDate: 2018-01-10T08:03:17Z
  • Nonstandard finite differences for a truncated Bratu–Picard model
    • Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): Paul Andries Zegeling, Sehar Iqbal
      In this paper, we consider theoretical and numerical properties of a nonlinear boundary-value problem which is strongly related to the well-known Gelfand–Bratu model with parameter λ. When approximating the nonlinear term in the model via a Taylor expansion, we are able to find new types of solutions and multiplicities, depending on the final index N in the expansion. The number of solutions may vary from 0, 1, 2 to ∞. In the latter case of infinitely many solutions, we find both periodic and semi-periodic solutions. Numerical experiments using a non-standard finite-difference (NSFD) approximation illustrate all these aspects. We also show the difference in accuracy for different denominator functions in NSFD when applied to this model. A full classification is given of all possible cases depending on the parameters N and λ.

      PubDate: 2018-01-10T08:03:17Z
  • Saddlepoint approximation to the distribution of the total distance of the
           von Mises–Fisher continuous time random walk
    • Abstract: Publication date: 1 May 2018
      Source:Applied Mathematics and Computation, Volume 324
      Author(s): R. Gatto
      This article considers the random walk over R p , with any p ≥ 2, where a particle starts at the origin and progresses stepwise with fixed step lengths and von Mises–Fisher distributed step directions. The total number of steps follows a continuous time counting process. The saddlepoint approximation to the distribution of the distance between the origin and the position of the particle at any time is derived. Despite the p-dimensionality of the random walk, the computation of the proposed saddlepoint approximation is one-dimensional and thus simple. The high accuracy of the saddlepoint approximation is illustrated by a numerical comparison with Monte Carlo simulation.

      PubDate: 2018-01-10T08:03:17Z
  • 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
    • 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
    • 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)
School of Mathematical and Computer Sciences
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