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  Subjects -> COMPUTER SCIENCE (Total: 1991 journals)
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COMPUTER SCIENCE (1157 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: 13)
Abakós     Open Access   (Followers: 4)
ACM Computing Surveys     Hybrid Journal   (Followers: 23)
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: 14)
ACM Transactions on Computing Education (TOCE)     Hybrid Journal   (Followers: 5)
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: 3)
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: 11)
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: 8)
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: 14)
Advances in Computing     Open Access   (Followers: 2)
Advances in Data Analysis and Classification     Hybrid Journal   (Followers: 51)
Advances in Engineering Software     Hybrid Journal   (Followers: 26)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Human Factors/Ergonomics     Full-text available via subscription   (Followers: 26)
Advances in Human-Computer Interaction     Open Access   (Followers: 20)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Parallel Computing     Full-text available via subscription   (Followers: 7)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Remote Sensing     Open Access   (Followers: 38)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Advances in Technology Innovation     Open Access   (Followers: 2)
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: 7)
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: 7)
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: 2)
Applied Artificial Intelligence: An International Journal     Hybrid Journal   (Followers: 14)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Clinical Informatics     Hybrid Journal   (Followers: 2)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Computer Systems     Open Access   (Followers: 1)
Applied Informatics     Open Access  
Applied Mathematics and Computation     Hybrid Journal   (Followers: 33)
Applied Medical Informatics     Open Access   (Followers: 11)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Soft Computing     Hybrid Journal   (Followers: 16)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Architectural Theory Review     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 5)
Archive of Numerical Software     Open Access  
Archives and Museum Informatics     Hybrid Journal   (Followers: 133)
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Artifact     Hybrid Journal   (Followers: 2)
Artificial Life     Hybrid Journal   (Followers: 6)
Asia Pacific Journal on Computational Engineering     Open Access  
Asia-Pacific Journal of Information Technology and Multimedia     Open Access   (Followers: 1)
Asian Journal of Computer Science and Information Technology     Open Access  
Asian Journal of Control     Hybrid Journal  
Assembly Automation     Hybrid Journal   (Followers: 2)
at - Automatisierungstechnik     Hybrid Journal   (Followers: 1)
Australian Educational Computing     Open Access   (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: 8)
Basin Research     Hybrid Journal   (Followers: 5)
Behaviour & Information Technology     Hybrid Journal   (Followers: 52)
Bioinformatics     Hybrid Journal   (Followers: 311)
Biomedical Engineering     Hybrid Journal   (Followers: 16)
Biomedical Engineering and Computational Biology     Open Access   (Followers: 13)
Biomedical Engineering, IEEE Reviews in     Full-text available via subscription   (Followers: 17)
Biomedical Engineering, IEEE Transactions on     Hybrid Journal   (Followers: 32)
Briefings in Bioinformatics     Hybrid Journal   (Followers: 44)
British Journal of Educational Technology     Hybrid Journal   (Followers: 129)
Broadcasting, IEEE Transactions on     Hybrid Journal   (Followers: 10)
c't Magazin fuer Computertechnik     Full-text available via subscription   (Followers: 2)
CALCOLO     Hybrid Journal  
Calphad     Hybrid Journal  
Canadian Journal of Electrical and Computer Engineering     Full-text available via subscription   (Followers: 14)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
Cell Communication and Signaling     Open Access   (Followers: 1)
Central European Journal of Computer Science     Hybrid Journal   (Followers: 5)
CERN IdeaSquare Journal of Experimental Innovation     Open Access  
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chemometrics and Intelligent Laboratory Systems     Hybrid Journal   (Followers: 15)
ChemSusChem     Hybrid Journal   (Followers: 7)
China Communications     Full-text available via subscription   (Followers: 7)
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
CIN Computers Informatics Nursing     Full-text available via subscription   (Followers: 12)
Circuits and Systems     Open Access   (Followers: 16)
Clean Air Journal     Full-text available via subscription   (Followers: 2)
CLEI Electronic Journal     Open Access  
Clin-Alert     Hybrid Journal   (Followers: 1)
Cluster Computing     Hybrid Journal   (Followers: 1)
Cognitive Computation     Hybrid Journal   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Communication Methods and Measures     Hybrid Journal   (Followers: 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: 53)
Communications of the Association for Information Systems     Open Access   (Followers: 18)
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering     Hybrid Journal   (Followers: 3)
Complex & Intelligent Systems     Open Access  
Complex Adaptive Systems Modeling     Open Access  
Complex Analysis and Operator Theory     Hybrid Journal   (Followers: 2)
Complexity     Hybrid Journal   (Followers: 6)
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Computación y Sistemas     Open Access  
Computation     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational and Structural Biotechnology Journal     Open Access   (Followers: 2)
Computational and Theoretical Chemistry     Hybrid Journal   (Followers: 9)
Computational Astrophysics and Cosmology     Open Access   (Followers: 1)
Computational Biology and Chemistry     Hybrid Journal   (Followers: 12)
Computational Chemistry     Open Access   (Followers: 2)
Computational Cognitive Science     Open Access   (Followers: 2)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Condensed Matter     Open Access  
Computational Ecology and Software     Open Access   (Followers: 9)
Computational Economics     Hybrid Journal   (Followers: 9)
Computational Geosciences     Hybrid Journal   (Followers: 14)
Computational Linguistics     Open Access   (Followers: 23)
Computational Management Science     Hybrid Journal  
Computational Mathematics and Modeling     Hybrid Journal   (Followers: 8)
Computational Mechanics     Hybrid Journal   (Followers: 4)
Computational Methods and Function Theory     Hybrid Journal  
Computational Molecular Bioscience     Open Access   (Followers: 2)
Computational Optimization and Applications     Hybrid Journal   (Followers: 7)
Computational Particle Mechanics     Hybrid Journal   (Followers: 1)
Computational Research     Open Access   (Followers: 1)
Computational Science and Discovery     Full-text available via subscription   (Followers: 2)
Computational Science and Techniques     Open Access  
Computational Statistics     Hybrid Journal   (Followers: 13)
Computational Statistics & Data Analysis     Hybrid Journal   (Followers: 31)
Computer     Full-text available via subscription   (Followers: 87)
Computer Aided Surgery     Hybrid Journal   (Followers: 3)
Computer Applications in Engineering Education     Hybrid Journal   (Followers: 7)
Computer Communications     Hybrid Journal   (Followers: 10)
Computer Engineering and Applications Journal     Open Access   (Followers: 5)
Computer Journal     Hybrid Journal   (Followers: 8)
Computer Methods in Applied Mechanics and Engineering     Hybrid Journal   (Followers: 21)
Computer Methods in Biomechanics and Biomedical Engineering     Hybrid Journal   (Followers: 10)
Computer Methods in the Geosciences     Full-text available via subscription   (Followers: 1)
Computer Music Journal     Hybrid Journal   (Followers: 16)
Computer Physics Communications     Hybrid Journal   (Followers: 6)
Computer Science - Research and Development     Hybrid Journal   (Followers: 7)
Computer Science and Engineering     Open Access   (Followers: 17)
Computer Science and Information Technology     Open Access   (Followers: 12)
Computer Science Education     Hybrid Journal   (Followers: 13)
Computer Science Journal     Open Access   (Followers: 20)
Computer Science Master Research     Open Access   (Followers: 10)
Computer Science Review     Hybrid Journal   (Followers: 10)

        1 2 3 4 5 6 | Last

Journal Cover Applied Mathematics and Computation
  [SJR: 1.008]   [H-I: 100]   [33 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0096-3003
   Published by Elsevier Homepage  [3048 journals]
  • 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)
       
  • The eigenvalues range of a class of matrices and some applications in
           Cauchy–Schwarz inequality and iterative methods
    • Authors: Huamin Zhang
      Pages: 37 - 48
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): Huamin Zhang
      This paper discusses the range of the eigenvalues of a class of matrices. By using the eigenvalues range of a class of matrices, an extension of the inner product type Cauchy–Schwarz inequality is obtained, the convergence proof of the least squares based iterative algorithm for solving the coupled Sylvester matrix equations is given and the best convergence factor is determined. Moreover, by using the eigenvalues range of this class of matrices, an iterative algorithm for solving linear matrix equation is established. Three numerical examples are offered to illustrate the effectiveness of the results suggested in this paper.

      PubDate: 2017-11-09T09:37:31Z
      DOI: 10.1016/j.amc.2017.10.015
      Issue No: Vol. 321 (2017)
       
  • Two dimensional Riemann problem for a 2 × 2 system of hyperbolic
           conservation laws involving three constant states
    • Authors: Jinah Hwang; Myoungin Shin; Suyeon Shin; Woonjae Hwang
      Pages: 49 - 62
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): Jinah Hwang, Myoungin Shin, Suyeon Shin, Woonjae Hwang
      Zhang and Zheng (1990) conjectured on the structure of a solution for a two-dimensional Riemann problem for Euler equation. To resolve this illuminating conjecture, many researchers have studied the simplified 2 × 2 systems. In this paper, 3-pieces Riemann problem for two-dimensional 2 × 2 hyperbolic system is considered without the restriction that each jump of the initial data projects one planar elementary wave. We classify twelve topologically distinct solutions and construct analytical and numerical solutions. The computed numerical solutions clearly confirm the constructed analytic solutions.

      PubDate: 2017-11-09T09:37:31Z
      DOI: 10.1016/j.amc.2017.10.045
      Issue No: Vol. 321 (2017)
       
  • On solving systems of multi-pantograph equations via spectral tau method
    • Authors: S.S. Ezz-Eldien
      Pages: 63 - 73
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): S.S. Ezz-Eldien
      The current manuscript focuses on solving systems of multi-pantograph equations. The spectral tau method is applied for solving systems of multi-pantograph equations with shifted Jacobi polynomials as basis functions. The convergence analysis of the proposed technique is also investigated. We introduced the numerical solutions of some test problems and compared the obtained numerical solutions of such problems with those given using different numerical methods.

      PubDate: 2017-11-09T09:37:31Z
      DOI: 10.1016/j.amc.2017.10.014
      Issue No: Vol. 321 (2017)
       
  • Fractional-order Legendre-collocation method for solving fractional
           initial value problems
    • Authors: Qasem M. Al-Mdallal; Ahmed S. Abu Omer
      Pages: 74 - 84
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): Qasem M. Al-Mdallal, Ahmed S. Abu Omer
      In this paper, we present a numerical algorithm for solving second-order fractional initial value problems. This numerical algorithm is based on a fractional Legendre-collocation spectral method. The governing fractional differential equation is converted into a nonlinear system of algebraic equations. The error analysis of the proposed numerical algorithm is presented. Comparisons with other numerical methods shows that the proposed algorithm is more accurate and simpler to implement. Several examples are discussed to illustrate the efficiency and accuracy of the present scheme.

      PubDate: 2017-11-09T09:37:31Z
      DOI: 10.1016/j.amc.2017.10.012
      Issue No: Vol. 321 (2017)
       
  • An algorithm for partial functional differential equations modeling tumor
           growth
    • Authors: B. Zubik-Kowal
      Pages: 85 - 92
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): B. Zubik-Kowal
      We introduce a parallel algorithm for the numerical simulation of the growth of human tumor cells in time-varying environments and their response to therapy. The behavior of the cell populations is described by a system of delay partial differential equations with time-dependent coefficients. We construct the new algorithm by developing a time-splitting technique in which the entire problem is split into independent tasks assigned to arbitrary numbers of processors chosen in light of available resources. We present the results of a series of numerical experiments, which confirm the efficiency of the algorithm and exhibit a substantial decrease in computational time thus providing an effective means for fast clinical, case-by-case applications of tumor invasion simulations and possible treatment.

      PubDate: 2017-11-09T09:37:31Z
      DOI: 10.1016/j.amc.2017.09.028
      Issue No: Vol. 321 (2017)
       
  • Decay-rate-dependent conditions for exponential stability of stochastic
           neutral systems with Markovian jumping parameters
    • Authors: Weimin Chen; Baoyong Zhang; Qian Ma
      Pages: 93 - 105
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): Weimin Chen, Baoyong Zhang, Qian Ma
      This note studies the problem of decay-rate-dependent exponential stability for neutral stochastic delay systems with Markovian jumping parameters. First, by introducing an operator D ( x t , i ) as well as a novel Lyapunov–Krasovskii functional, sufficient conditions for exponential stability of system with a decay rate are obtained. Second, the results are extended to the robust exponential estimates for uncertain neutral stochastic delay systems with Markovian jumping parameters. Finally, numerical examples are provided to show the effectiveness of the proposed results.

      PubDate: 2017-11-16T09:52:12Z
      DOI: 10.1016/j.amc.2017.10.034
      Issue No: Vol. 321 (2017)
       
  • An Element-free Galerkin method for solving the two-dimensional hyperbolic
           problem
    • Authors: Xinqiang Qin; Xianbao Duan; Gang Hu; Lijun Su; Xing Wang
      Pages: 106 - 120
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): Xinqiang Qin, Xianbao Duan, Gang Hu, Lijun Su, Xing Wang
      An element-free Galerkin (EFG) method for solving two-dimensional hyperbolic problems is derived. The proposed method is based on the weak form of the EFG method and the moving least square (MLS) approximation. Error analysis shows that the error between the numerical and exact solutions are directly related to the radius of the weight functions which influence the space and time steps. Three numerical examples are given to validate the accuracy and efficiency of the proposed method.

      PubDate: 2017-11-16T09:52:12Z
      DOI: 10.1016/j.amc.2017.10.040
      Issue No: Vol. 321 (2017)
       
  • Ro-vibrational energies of the shifted Deng-Fan oscillator potential with
           Feynman path integral formalism
    • Authors: H. Boukabcha; M. Hachama; A. Diaf
      Pages: 121 - 129
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): H. Boukabcha, M. Hachama, A. Diaf
      In this paper, we derive approximate analytical solutions of the D-dimension Feynman propagator in presence of the shifted Deng-Fan oscillator by using an appropriate approximation of the centrifugal term. Energy eigenvalues and the corresponding eigenfunctions are obtained for different quantum numbers and some diatomic molecules. In the three-dimensional case, we calculate the energy level values and compare our results with those given in the literature. Our calculated energy levels are in much better agreement with the ones obtained numerically.

      PubDate: 2017-11-16T09:52:12Z
      DOI: 10.1016/j.amc.2017.10.044
      Issue No: Vol. 321 (2017)
       
  • Comparison among unstructured TVD, ENO and UNO schemes in two- and
           three-dimensions
    • Authors: Edisson Sávio de Góes Maciel; Cláudia Regina de Andrade
      Pages: 130 - 175
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): Edisson Sávio de Góes Maciel, Cláudia Regina de Andrade
      This study focuses on unstructured TVD, ENO and UNO schemes applied to solve the Euler equations in two- and three-dimensions. They are implemented on a finite volume context and cell centered data base. The algorithms of Yee, Warming and Harten 1982; Harten; Yee and Kutler; Yee Warming and Harten 1985; Yee; Yee and Harten; Harten and Osher; Yang 1990, Hughson and Beran; Yang 1991; and Yang and Hsu are implemented to solve such system of equations in two- and three-dimensions. All schemes are flux difference splitting and good resolution is expected. This study deals with calorically perfect gas model and in so on the cold gas formulation has been employed. Two problems are studied, namely: the transonic convergent-divergent symmetrical nozzle, and the supersonic ramp. A spatially variable time step is implemented to accelerate the convergence process. The results highlights the excellent performance of the Yang 1990 TVD scheme, yielding an excellent pressure distribution at the two-dimensional nozzle wall, whereas the Harten and Osher scheme yields accurate values to the angle of the oblique shock wave and the best wall pressure distributions in the two-dimensional ramp problem. On the other hand, the excellent performance of the Harten scheme in the three-dimensional nozzle problem, yielding an excellent pressure distribution at the nozzle wall, and the Yee and Harten scheme yielding an accurate value to the angle of the oblique shock wave and the best wall pressure distribution in the three-dimensional ramp problem are of good quality.

      PubDate: 2017-11-16T09:52:12Z
      DOI: 10.1016/j.amc.2017.10.026
      Issue No: Vol. 321 (2017)
       
  • A data assimilation approach for non-Newtonian blood flow simulations in
           3D geometries
    • Authors: Telma Guerra; Catarina Catarino; Tânia Mestre; Sara Santos; Jorge Tiago; Adélia Sequeira
      Pages: 176 - 194
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): Telma Guerra, Catarina Catarino, Tânia Mestre, Sara Santos, Jorge Tiago, Adélia Sequeira
      Blood flow simulations can play an important role in medical training and diagnostic predictions associated to several pathologies of the cardiovascular system. The main challenge, at the present stage, is to obtain reliable numerical simulations in the particular districts of the cardiovascular system that we are interested in. Here, we propose a Data Assimilation procedure, in the form of a non linear optimal control problem of Dirichlet type, to reconstruct the blood flow profile from known data, available in certain parts of the computational domain. This method will allow us to obtain the boundary conditions, not fully determined by the physics of the model, in order to recover more accurate simulations. To solve the control problem we propose a Discretize then Optimize (DO) approach, based on a stabilized finite element method. Numerical simulations on 3D geometries are performed to validate this procedure. In particular, we consider some idealized geometries of interest, and real geometries such as a saccular aneurysm and a bypass. We assume blood as an homogeneous fluid with non-Newtonian inelastic shear-thinning behavior. The results show that, even in the presence of noisy data, accuracy can be improved using the optimal control approach.

      PubDate: 2017-11-16T09:52:12Z
      DOI: 10.1016/j.amc.2017.10.029
      Issue No: Vol. 321 (2017)
       
  • A triangular spectral element method for elliptic and Stokes problems
    • Authors: Jingliang Li; Heping Ma; Huiyuan Li
      Pages: 195 - 208
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): Jingliang Li, Heping Ma, Huiyuan Li
      In this paper, we study a triangular spectral-element method based on a one-to-one mapping between the rectangle and the triangle. We construct a new approximation space where the integral singularity brought by the mapping can be removed in a naive and stable way. We build aquasi-interpolation triangular spectral-element approximation, and analyze its approximation error. Based on this quasi-interpolation spectral-element approximation, we put forward a new triangular spectral-element method for the elliptic problems. We present the approximation scheme, analyze the convergence, and do some experiments to test the effectiveness. At last, we implement this triangular spectral-element method to solve the steady Stokes problem.

      PubDate: 2017-11-16T09:52:12Z
      DOI: 10.1016/j.amc.2017.10.025
      Issue No: Vol. 321 (2017)
       
  • Robust H∞ control of T-S fuzzy systems with input time-varying delays: A
           delay partitioning method
    • Authors: Min Li; Feng Shu; Duyu Liu; Shouming Zhong
      Pages: 209 - 222
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): Min Li, Feng Shu, Duyu Liu, Shouming Zhong
      Addressed in this paper is the robust H ∞ control issue of T-S fuzzy systems with input time-varying delays. By means of the delay partitioning method, the delay interval is partitioned into multiple unequal subintervals whose lengths satisfy a geometric sequence. On this basis, a modified Lyapunov–Krasovskii functional is presented to analyze asymptotic stability of the open-loop system. Then a state feedback controller that ensures a prescribed H ∞ performance level for the closed-loop system is proposed in linear matrix inequality format. Finally, two numerical examples are given to illustrate the effectiveness and advantages of the obtained results.

      PubDate: 2017-11-16T09:52:12Z
      DOI: 10.1016/j.amc.2017.10.053
      Issue No: Vol. 321 (2017)
       
  • Optimal control for doubly nonlinear evolutionary inclusions
    • Authors: Leszek Gasiński; Stanisław Migórski; Anna Ochal; Zijia Peng
      Pages: 244 - 254
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): Leszek Gasiński, Stanisław Migórski, Anna Ochal, Zijia Peng
      We study the optimal control of systems for a class of nonlinear hemivariational inequalities which are in the form of evolutionary inclusions involving Clarke’s generalized gradient. The control variables are introduced both in the generalized gradient and in the source terms. We first establish the existence of weak solutions to nonlinear inclusions and prove the upper semicontinuity property of their solution sets. Then, we present the minimization problem and show the existence of optimal admissible state-control pairs. Finally, some examples of our abstract results which appear in applications are discussed.

      PubDate: 2017-11-16T09:52:12Z
      DOI: 10.1016/j.amc.2017.10.041
      Issue No: Vol. 321 (2017)
       
  • An effective computational method for solving linear multi-point boundary
           value problems
    • Authors: Lie-jun Xie; Cai-lian Zhou; Song Xu
      Pages: 255 - 266
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): Lie-jun Xie, Cai-lian Zhou, Song Xu
      In this work, an efficient computational method is proposed for solving the linear multi-point boundary value problems (MBVPs). Our approach depends mainly on of the least squares approximation method, the Lagrange-multiplier method and the residual error function technique. With the proposed scheme, we handle the numerical solutions of the linear MBVPs in a straightforward manner. Firstly, the given linear MBVP is reduced to a linear system of algebraic equations, and the coefficients of the approximate polynomial solution of the problem are determined by solving this system. Secondly, a linear boundary value problem related to the error function of the approximate solution is constructed, and error estimation is presented for the suggested method. The convergence of the approximate solution is proved. The reliability and efficiency of the proposed approach are demonstrated by some numerical examples.

      PubDate: 2017-11-16T09:52:12Z
      DOI: 10.1016/j.amc.2017.10.016
      Issue No: Vol. 321 (2017)
       
  • State feedback synchronization control of impulsive neural networks with
           mixed delays and linear fractional uncertainties
    • Authors: K. Subramanian; P. Muthukumar; S. Lakshmanan
      Pages: 267 - 281
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): K. Subramanian, P. Muthukumar, S. Lakshmanan
      This study examines the synchronization problem of impulsive neural networks with mixed time-varying delays and linear fractional uncertainties. The mixed time-varying delays include distributed leakage, discrete and distributed time-varying delays. Moreover, the restrictions on derivatives of time-varying delays with upper bounds to smaller than one is relaxed by introducing free weight matrices. Based on suitable Lyapunov–Krasovskii functionals and integral inequalities, linear matrix inequality approach is used to derive the sufficient conditions that guarantee the synchronization criteria of impulsive neural networks via delay dependent state feedback control. Finally, three numerical examples are given to show the effectiveness of the theoretical results.

      PubDate: 2017-11-16T09:52:12Z
      DOI: 10.1016/j.amc.2017.10.038
      Issue No: Vol. 321 (2017)
       
  • An efficient algorithm to construct multi-soliton rational solutions of
           the (2+ 1)-dimensional KdV equation with variable coefficients
    • Authors: M.S. Osman; Abdul-Majid Wazwaz
      Pages: 282 - 289
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): M.S. Osman, Abdul-Majid Wazwaz
      Herein, we present an efficient algorithm to construct multi-soliton rational solutions of the (2+ 1)-dimensional Korteweg–de Vries equation with time-dependent coefficients. We employ the generalized unified method, which presents a wider applicability for handling many other nonlinear evolution equations in different branches of science, to find these solutions. The dynamical behavior of the traveling wave solutions and their structures are discussed by different choices for the arbitrary functions in the obtained solutions.

      PubDate: 2017-11-16T09:52:12Z
      DOI: 10.1016/j.amc.2017.10.042
      Issue No: Vol. 321 (2017)
       
  • Dynamical behavior and application in Josephson Junction coupled by
           memristor
    • Authors: Ge Zhang; Jun Ma; Ahmed Alsaedi; Bashir Ahmad; Faris Alzahrani
      Pages: 290 - 299
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): Ge Zhang, Jun Ma, Ahmed Alsaedi, Bashir Ahmad, Faris Alzahrani
      The memristor has drawn a considerable interest when the nanoscale memristor is regarded as the critical element of novel ultra-high density and low-power non-volatile memories. The nonlinearity of electric circuit is enhanced and the dynamical behavior becomes more complex when memristor is used in circuits because it memductance is dependent on the inputs current. Josephson Junction (JJ) coupled resonator also present complex dynamical behaviors in nonlinear circuit because JJ is used as sensitive inductive component. The Josephson Junction circuit employing memristor is designed in this paper. Firstly, dynamical properties about this model are discussed by numerically calculating phase portraits, Lyapunov exponents and bifurcation diagram. It is found that appropriate parameters setting can induce distinct chaotic and periodical states by analyzing the output series. The dynamical response and potential mechanism for behavior selection is discussed. Interestingly, the chaos encryption based on Josephson junction circuit coupled by memristor is investigated as well.

      PubDate: 2017-11-16T09:52:12Z
      DOI: 10.1016/j.amc.2017.10.054
      Issue No: Vol. 321 (2017)
       
  • A wavelet collocation method for boundary integral equations of the
           modified Helmholtz equation
    • Authors: Xiangling Chen; Ziqing Xie; Jianshu Luo
      Pages: 300 - 312
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): Xiangling Chen, Ziqing Xie, Jianshu Luo
      A wavelet collocation method is to proposed for solving the linear boundary integral equations reformulated from the modified Helmholtz equation with Robin boundary conditions. To deal with the difficulties caused by Robin boundary conditions. We provide an improved version of wavelet collocation method. By employing a matrix compression strategy and augmentation method, we obtain fully discrete system and solve efficiently the resulting systems. At last, we point out that the proposed method employs an optimal convergence order and a nearly linear computational complexity. Numerical experiments are presented to demonstrate its approximation accuracy and computational efficiency.

      PubDate: 2017-11-16T09:52:12Z
      DOI: 10.1016/j.amc.2017.10.037
      Issue No: Vol. 321 (2017)
       
  • Computational vibration and buckling analysis of microtubule bundles based
           on nonlocal strain gradient theory
    • Authors: A. Imani Aria; H. Biglari
      Pages: 313 - 332
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): A. Imani Aria, H. Biglari
      A nonlocal strain gradient model is proposed to study buckling and vibrational responses of microtubules in axons with attention to different size effect parameters based on finite element method. Supporting effects of surrounding cytoplasm and MAP Tau proteins are considered. Microtubules are modeled as elastically connected improved Timoshenko nano-beams resting on a two-parameter Pasternak foundation. Differential equations are discretized using Galerkin method. Finally, two eigenvalue problems are solved to achieve critical buckling loads and frequencies of single and doubled-microtubule systems. The nonlocal strain gradient model is employed in order to show both hardening and softening effects of structural stiffness, based on relative magnitudes of nanoscale parameters. Influence of size effects, including nonlocal nanoscale parameter, gradient coefficient and surface effects, are examined for various boundary conditions and some benchmark results are reported. It is observed that these effects are more prominent at higher modes. Based on presented numerical results, MAP Tau proteins strengthen doubled microtubule systems to bear 11.7% more buckling load than a single microtubule. Furthermore, vibration frequencies of microtubules depend on their physical surrounding condition in cell; such as cell matrix and membrane, and since microtubules could be employed as biosensors, this property may be used in order to detect malignant tumors, based on vibrational damping.

      PubDate: 2017-11-16T09:52:12Z
      DOI: 10.1016/j.amc.2017.10.050
      Issue No: Vol. 321 (2017)
       
  • Chaotic congestion games
    • Authors: Ahmad Kabir Naimzada; Roberto Raimondo
      Pages: 333 - 348
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): Ahmad Kabir Naimzada, Roberto Raimondo
      We analyze a class of congestion games where two agents must send a finite amount of goods from an initial location to a terminal one. To do so the agents must use resources which are costly and costs are load dependent. In this context we assume that the agents have limited computational capability and they use a gradient rule as a decision mechanism. By introducing an appropriate dynamical system, which has the steady state exactly at the unique Nash equilibrium of the static congestion game, we investigate the dynamical behavior of the game. We provide a local stability condition in terms of the agents’ reactivity and the nonlinearity of the cost functions. In particular we show numerically that there is a route to complex dynamics: a cascade of flip-bifurcation leading to periodic cycles and finally to chaos.

      PubDate: 2017-11-16T09:52:12Z
      DOI: 10.1016/j.amc.2017.10.021
      Issue No: Vol. 321 (2017)
       
  • The relaxation modulus-based matrix splitting iteration method for solving
           linear complementarity problems of positive definite matrices
    • Authors: Baolian Wen; Hua Zheng; Wen Li; Xiaofei Peng
      Pages: 349 - 357
      Abstract: Publication date: 15 March 2018
      Source:Applied Mathematics and Computation, Volume 321
      Author(s): Baolian Wen, Hua Zheng, Wen Li, Xiaofei Peng
      In this paper, the relaxation modulus-based matrix splitting iteration method is established for solving the linear complementarity problem of positive definite matrices. The convergence analysis and the strategy of the choice of the parameters are given. Numerical examples show that the proposed method with the new strategy is efficient and accelerates the convergence performance with less iteration steps and CPU times.

      PubDate: 2017-11-16T09:52:12Z
      DOI: 10.1016/j.amc.2017.10.064
      Issue No: Vol. 321 (2017)
       
  • On a nonlinear 4-point ternary and non-interpolatory subdivision scheme
           eliminating the Gibbs phenomenon
    • Authors: S. Amat; A. Choutri; J. Ruiz; S. Zouaoui
      Pages: 16 - 26
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): S. Amat, A. Choutri, J. Ruiz, S. Zouaoui
      A nonlinear ternary 4-point non-interpolatory subdivision scheme is presented. It is based on a nonlinear perturbation of the 4-point subdivision scheme studied in [16]. The convergence of the scheme and the regularity of the limit function are analyzed. It is shown that the Gibbs phenomenon, that is classical in linear schemes, is eliminated. We also establish the stability of the subdivision scheme, that is not a consequence of its convergence due to its non-linearity. To the best of our knowledge, this is the first ternary non-interpolatory subdivision scheme that can be found in the literature.

      PubDate: 2017-10-04T08:50:02Z
      DOI: 10.1016/j.amc.2017.08.055
      Issue No: Vol. 320 (2017)
       
  • Spline reproducing kernels on R and error bounds for piecewise smooth LBV
           problems
    • Authors: Grzegorz Andrzejczak
      Pages: 27 - 44
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Grzegorz Andrzejczak
      Reproducing kernel method for approximating solutions of linear boundary value problems is valid in Hilbert spaces composed of continuous functions, but its convergence is not satisfactory without additional smoothness assumptions. We prove 2nd order uniform convergence for regular problems with coefficient piecewise of Sobolev class H 2. If the coefficients are globally of class H 2, more refined phantom boundary NSC-RKHS method is derived, and the order of convergence rises to 3 or 4, according to whether the problem is piecewise of class H 3 or H 4. The algorithms can be successfully applied to various non-local linear boundary conditions, e.g. of simple integral form. The paper contains also a new explicit formula for general spline reproducing kernels in Hm [a, b], if the inner product 〈 f , g 〉 m , ξ = ∑ i < m f ( i ) ( ξ ) g ( i ) ( ξ ) + ∫ f ( m ) g ( m ) depends on any fixed reference point ξ ∈ [a, b]. The piecewise NSC–RKHS methods are then applied to two example regular LBV problems in H 3 and H 5. Exactness of the resulting numerical solutions, the degree of convergence, and their dependency of the reference point ξ ∈ [a, b] are presented in attached figures.

      PubDate: 2017-10-04T08:50:02Z
      DOI: 10.1016/j.amc.2017.09.021
      Issue No: Vol. 320 (2017)
       
  • Analysis of a mixed formulation of a bilateral obstacle problem
    • Authors: Mohammed Bouchlaghem; El Bekkaye Mermri
      Pages: 45 - 55
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Mohammed Bouchlaghem, El Bekkaye Mermri
      In this paper we present a reformulation of a bilateral obstacle problem as a mixed formulation problem based on subdifferential of a continuous function of which the subdifferential can characterize the non-contact domain. Then we present the analysis of the discrete problem. We prove the convergence of the approximate solution to the exact one and we provide an error estimate. This formulation was established in an abstract way, then the theoretical results was applied to a bilateral obstacle problem.

      PubDate: 2017-10-04T08:50:02Z
      DOI: 10.1016/j.amc.2017.09.016
      Issue No: Vol. 320 (2017)
       
  • Flag-transitive quasi-residual designs with sporadic socle
    • Authors: Lang Tang; Shenglin Zhou
      Pages: 56 - 60
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Lang Tang, Shenglin Zhou
      Let D be a quasi-residual design with an automorphism group G. In this paper, we classify flag-transitive, block-primitive or point-primitive quasi-residual designs with sporadic socle. Furthermore, we show that if G is flag-transitive block-primitive with sporadic socle, then G is point-primitive.

      PubDate: 2017-10-04T08:50:02Z
      DOI: 10.1016/j.amc.2017.09.010
      Issue No: Vol. 320 (2017)
       
  • On the application of the method of fundamental solutions to boundary
           value problems with jump discontinuities
    • Authors: Carlos J.S. Alves; Svilen S. Valtchev
      Pages: 61 - 74
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Carlos J.S. Alves, Svilen S. Valtchev
      Two meshfree methods are proposed for the numerical solution of boundary value problems (BVPs) for the Laplace equation, coupled with boundary conditions with jump discontinuities. In the first case, the BVP is solved in two steps, using a subtraction of singularity approach. Here, the singular subproblem is solved analytically while the classical method of fundamental solutions (MFS) is applied for the solution of the regular subproblem. In the second case, the total BVP is solved using a variant of the MFS where its approximation basis is enriched with a set of harmonic functions with singular traces on the boundary of the domain. The same singularity-capturing functions, motivated by the boundary element method (BEM), are used for the singular part of the solution in the first method and for augmenting the MFS basis in the second method. Comparative numerical results are presented for 2D problems with discontinuous Dirichlet boundary conditions. In particular, the inappropriate oscillatory behavior of the classical MFS solution, due to the Gibbs phenomenon, is shown to vanish.

      PubDate: 2017-10-04T08:50:02Z
      DOI: 10.1016/j.amc.2017.09.018
      Issue No: Vol. 320 (2017)
       
  • Synchronization of nonlinear complex dynamical systems via delayed
           impulsive distributed control
    • Authors: Huilan Yang; Xin Wang; Shouming Zhong; Lan Shu
      Pages: 75 - 85
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Huilan Yang, Xin Wang, Shouming Zhong, Lan Shu
      This paper investigates the exponential synchronization problem of nonlinear complex dynamical systems via delayed impulsive distributed control. Different from the existing results on the synchronization of complex dynamical systems, impulsive input delays are considered in our model. Combined with the time-varying Lyapunov functional and mathematical induction approaches, criteria on system synchronization are established, which sufficiently utilize the information of both the state variables of themselves and their neighbors. Moreover, it is shown that the frequency of impulsive occurrence and impulsive input delays can heavily affect the synchronization performance. Finally, two numerical simulations are given to illustrate the effectiveness of the derived theoretical results.

      PubDate: 2017-11-16T09:52:12Z
      DOI: 10.1016/j.amc.2017.09.019
      Issue No: Vol. 320 (2017)
       
  • An efficient iterative updating method for hysteretic damping models
    • Authors: Yongxin Yuan; Kezheng Zuo; Taizhong Zhang
      Pages: 86 - 98
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Yongxin Yuan, Kezheng Zuo, Taizhong Zhang
      Finite element model updating techniques are used to update the finite element model of a structure in order to improve its correlation with the experimental dynamic test data. This paper presents an efficient iterative method for finite element matrix updating problem in a hysteretic damping model based on a few of complex measured vibration modal data. By using the proposed iterative method, the unique symmetric solution can be obtained within finite iteration steps in the absence of roundoff errors by choosing a special kind of initial matrix triple. Some theorems are stated and proved, numerical results show that the presented method can be used to update finite element models to get better agreement between analytical and experimental modal parameters.

      PubDate: 2017-11-16T09:52:12Z
      DOI: 10.1016/j.amc.2017.09.022
      Issue No: Vol. 320 (2017)
       
  • A single gallery-based face recognition using extended joint sparse
           representation
    • Authors: Kun Shang; Zheng-Hai Huang; Wanquan Liu; Zhi-Ming Li
      Pages: 99 - 115
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Kun Shang, Zheng-Hai Huang, Wanquan Liu, Zhi-Ming Li
      For many practical face recognition problems, such as law enforcement, e-passport, ID card identification, and video surveillance, there is usually only a single sample per person enrolled for training, meanwhile the probe samples can usually be captured on the spot, it is possible to collect multiple face images per person. This is a new face recognition problem with many challenges, and we name it as the single-image-to-image-set face recognition problem (ISFR). In this paper, a customized dictionary-based face recognition approach is proposed to solve this problem using the extended joint sparse representation. We first learn a customized variation dictionary from the on-location probing face images, and then propose the extended joint sparse representation, which utilizes the information of both the customized dictionary and the gallery samples, to classify the probe samples. Finally we compare the proposed method with the related methods on several popular face databases, including Yale, AR, CMU-PIE, Georgia, Multi-PIE and LFW databases. The experimental results show that the proposed method outperforms most of these popular face recognition methods for the ISFR problem.

      PubDate: 2017-10-14T00:13:42Z
      DOI: 10.1016/j.amc.2017.07.058
      Issue No: Vol. 320 (2017)
       
  • State estimation for stochastic discrete-time systems with multiplicative
           noises and unknown inputs over fading channels
    • Authors: Yueyang Li; Shuai Liu; Maiying Zhong; Steven X. Ding
      Pages: 116 - 130
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Yueyang Li, Shuai Liu, Maiying Zhong, Steven X. Ding
      This paper deals with robust state estimation problem for a class of stochastic discrete-time systems with multiplicative noises and unknown inputs over fading channels. An unbiased unknown input insensitive filter is designed such that the variance of the estimation error is minimized in the sense of the so-called P -estimation. The filter gain matrix is derived through solving a recursive Riccati equation and a generalized Lyapunov equation. A necessary and sufficient condition that guarantees the existence of the filter is given, which establishes a fundamental limit on the mean square capacity of each fading channel. Unknown input estimation and finite horizon stability of the proposed filter are also discussed. To illustrate the effectiveness of the proposed approach, the proposed algorithm is applied to a faulty remote controlled uninterruptible power system, where both the state and the fault are estimated.

      PubDate: 2017-10-14T00:13:42Z
      DOI: 10.1016/j.amc.2017.09.008
      Issue No: Vol. 320 (2017)
       
  • A reliability estimation approach via Wiener degradation model with
           measurement errors
    • Authors: Donghui Pan; Yantao Wei; Houzhang Fang; Wenzhi Yang
      Pages: 131 - 141
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Donghui Pan, Yantao Wei, Houzhang Fang, Wenzhi Yang
      This paper proposes a reliability estimation approach based on EM algorithm and Wiener processes by considering measurement errors. Firstly, the time-transformed Wiener processes are used to model the degradation process of the product, which simultaneously consider the temporal variability, unit-to-unit heterogeneity and measurement errors. In addition, we obtain the closed-form expressions of some reliability quantities such as reliability function and probability density function of the life. Moreover, the expectation maximization algorithm is adopted to estimate the model parameters effectively. Finally, a numerical example and a practical case study for LED lamps are provided to illustrate the effectiveness and superiority of the presented approach.

      PubDate: 2017-10-14T00:13:42Z
      DOI: 10.1016/j.amc.2017.09.020
      Issue No: Vol. 320 (2017)
       
  • A calculus for measuring the elegance of abstract graphs
    • Authors: Abbe Mowshowitz; Matthias Dehmer
      Pages: 142 - 148
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Abbe Mowshowitz, Matthias Dehmer
      This paper introduces a system for measuring the elegance of a graph based on the steps needed to build the graph and on its symmetry structure. The measure is designed to capture the essence of the notion of elegance in mathematics, namely, simplicity and clarity. The term “elegance” is used instead of “aesthetics” to distinguish the measure from those dependent on visual representation of a graph. Elegance is based solely on the abstract properties of a graph. A framework for measurement is defined and applied in a special case.

      PubDate: 2017-10-14T00:13:42Z
      DOI: 10.1016/j.amc.2017.09.023
      Issue No: Vol. 320 (2017)
       
  • Novel Lyapunov–Krasovskii functional with delay-dependent matrix for
           stability of time-varying delay systems
    • Authors: W. Kwon; Baeyoung Koo; S.M. Lee
      Pages: 149 - 157
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): W. Kwon, Baeyoung Koo, S.M. Lee
      This paper investigates the stability criteria of time-varying delay systems with known bounds of the delay and its derivative. To obtain a tighter bound of integral term, quadratic generalized free-weighting matrix inequality (QGFMI) is proposed. Furthermore, a novel augmented Lyapunov–Krasovskii functional (LKF) are constructed with a delay-dependent matrix, which impose the information for a bound of delay derivative. Relaxed stability condition using QGFMI and LKF provides a larger delay bound with low computational burden. The superiority of the proposed stability condition is verified by comparing to recent results.

      PubDate: 2017-10-14T00:13:42Z
      DOI: 10.1016/j.amc.2017.09.036
      Issue No: Vol. 320 (2017)
       
  • Hybrid-driven-based H∞ filter design for neural networks subject to
           deception attacks
    • Authors: Jinliang Liu; Jilei Xia; Engang Tian; Shumin Fei
      Pages: 158 - 174
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Jinliang Liu, Jilei Xia, Engang Tian, Shumin Fei
      This paper investigates the problem of H ∞ filter design for neural networks with hybrid triggered scheme and deception attacks. In order to make full use of the limited network resources, a hybrid triggered scheme is introduced, in which the switching between the time triggered scheme and the event triggered scheme obeys Bernoulli distribution. By considering the effect of hybrid triggered scheme and deception attacks, a mathematical model of H ∞ filtering error system is constructed. The sufficient conditions that can ensure the stability of filtering error system are given by using Lyapunov stability theory and linear matrix inequality (LMI) techniques. Moreover, the explicit expressions are provided for the designed filter parameters that is in terms of LMIs. Finally, a numerical example is employed to illustrate the design method.

      PubDate: 2017-10-14T00:13:42Z
      DOI: 10.1016/j.amc.2017.09.007
      Issue No: Vol. 320 (2017)
       
  • Quantized adaptive decentralized control for interconnected nonlinear
           systems with actuator faults
    • Authors: Wakeel Khan; Yan Lin; Sarmad Ullah Khan; Nasim Ullah
      Pages: 175 - 189
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Wakeel Khan, Yan Lin, Sarmad Ullah Khan, Nasim Ullah
      This paper studies quantized adaptive decentralized output feedback control technique for a class of interconnected nonlinear systems with quantized input and possible number of actuator failures up to infinity. A modified backstepping approach is proposed by the use of high-gain k-filters, hyperbolic tangent function property and bound-estimation approach to compensate for the effect of possible number of actuator failures up to infinity and input quantization. It is proved both mathematically and by simulation that, all the signals of the closed-loop system are globally bounded despite of input quantization and possible number of actuator failures up to infinity.

      PubDate: 2017-10-14T00:13:42Z
      DOI: 10.1016/j.amc.2017.09.011
      Issue No: Vol. 320 (2017)
       
  • Full linear multistep methods as root-finders
    • Authors: Bart S. van Lith; Jan H.M. ten Thije Boonkkamp; Wilbert L. IJzerman
      Pages: 190 - 201
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Bart S. van Lith, Jan H.M. ten Thije Boonkkamp, Wilbert L. IJzerman
      Root-finders based on full linear multistep methods (LMMs) use previous function values, derivatives and root estimates to iteratively find a root of a nonlinear function. As ODE solvers, full LMMs are typically not zero-stable. However, used as root-finders, the interpolation points are convergent so that such stability issues are circumvented. A general analysis is provided based on inverse polynomial interpolation, which is used to prove a fundamental barrier on the convergence rate of any LMM-based method. We show, using numerical examples, that full LMM-based methods perform excellently. Finally, we also provide a robust implementation based on Brent’s method that is guaranteed to converge.

      PubDate: 2017-10-14T00:13:42Z
      DOI: 10.1016/j.amc.2017.09.003
      Issue No: Vol. 320 (2017)
       
  • Coulson-type integral formulas for the general energy of polynomials with
           real roots
    • Authors: Lu Qiao; Shenggui Zhang; Jing Li
      Pages: 202 - 212
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Lu Qiao, Shenggui Zhang, Jing Li
      The energy of a graph is defined as the sum of the absolute values of its eigenvalues. In 1940 Coulson obtained an important integral formula which makes it possible to calculate the energy of a graph without knowing its spectrum. Recently several Coulson-type integral formulas have been obtained for various energies and some other invariants of graphs based on eigenvalues. For a complex polynomial ϕ ( z ) = ∑ k = 0 n a k z n − k = a 0 ∏ k = 1 n ( z − z k ) of degree n and a real number α, the general energy of ϕ(z), denoted by Eα (ϕ), is defined as ∑ z k ≠ 0 z k α when there exists k 0 ∈ { 1 , 2 , … , n } such that z k 0 ≠ 0 , and 0 when z 1 = ⋯ = z n = 0 . In this paper we give Coulson-type integral formulas for the general energy of polynomials whose roots are all real numbers in the case that α ∈ Q . As a consequence of this result, we obtain an integral formula for the 2l-th spectral moment of a graph. Furthermore, we show that our formulas hold when α is an irrational number with 0 <  α  < 2 and do not hold with α  > 2.

      PubDate: 2017-10-14T00:13:42Z
      DOI: 10.1016/j.amc.2017.09.024
      Issue No: Vol. 320 (2017)
       
  • Stationary distribution and extinction of a stochastic predator–prey
           model with additional food and nonlinear perturbation
    • Authors: Qun Liu; Daqing Jiang; Tasawar Hayat; Bashir Ahmad
      Pages: 226 - 239
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Qun Liu, Daqing Jiang, Tasawar Hayat, Bashir Ahmad
      In this paper, we formulate and analyze a stochastic predator–prey model with additional food and nonlinear perturbation. Firstly, by constructing a suitable stochastic Lyapunov function, we establish sufficient conditions for the existence of an ergodic stationary distribution of the positive solution to the model. Then we obtain sufficient conditions for extinction of the predator species in two cases, one is the prey species surviving and the predator species extinction; the other is both the prey and predator species are extinct. Finally, some examples together with numerical simulations are provided to illustrate the analytical results.

      PubDate: 2017-11-09T09:37:31Z
      DOI: 10.1016/j.amc.2017.09.030
      Issue No: Vol. 320 (2017)
       
  • Nonlinear dynamics of discrete time multi-level leader–follower
           games
    • Authors: Ruijia Wu; Robert A. Van Gorder
      Pages: 240 - 250
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Ruijia Wu, Robert A. Van Gorder
      We study dynamic multiple-player multiple-level discrete time leader–follower games in the vein of Cournot or Stackelberg games; these games generalize two-player dynamic Stackelberg or Cournot duopoly games which have been considered recently. A given player acts as a leader toward players in lower levels, and as a follower toward players in higher levels. We consider the case of either perfect or incomplete information, which in this context means that players either have complete information about other players within their level (perfect information) or lack information at the present timestep about other players within their level (incomplete information). Players always have perfect information about all players which are (relative) followers, and incomplete information about players which are (relative) leaders. The Cournot-type adjustment process under these information structures at each timestep results in the temporal dynamics of the game. As we consider dynamic games, we observe a variety of behaviors in time, including convergence to steady state or equilibrium quantities, cycles or periodic oscillations, and chaotic dynamics. We find that the costs facing each player strongly influence the form of the long-time dynamics, as will the information structure (perfect or incomplete) selected. One interesting finding is that under perfect information players tend to quickly converge upon their respective equilibrium values, while incomplete information can result in loss of regularity and the emergence of periodic or chaotic dynamics. However, in cases where players may be pushed out of the game in the presence of high relative costs and perfect information, we find that non-equilibrium dynamics under incomplete information allow such players to retain positive production, hence they are able to remain in the game.

      PubDate: 2017-11-09T09:37:31Z
      DOI: 10.1016/j.amc.2017.09.034
      Issue No: Vol. 320 (2017)
       
  • The Nekrasov diagonally dominant degree on the Schur complement of
           Nekrasov matrices and its applications
    • Authors: Jianzhou Liu; Juan Zhang; Lixin Zhou; Gen Tu
      Pages: 251 - 263
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Jianzhou Liu, Juan Zhang, Lixin Zhou, Gen Tu
      In this paper, we estimate the Nekrasov diagonally dominant degree on the Schur complement of Nekrasov matrices. As an application, we offer new bounds of the determinant for several special matrices, which improve the related results in certain case. Further, we give an estimation on the infinity norm bounds for the inverse of Schur complement of Nekrasov matrices. Finally, we introduce new methods called Schur-based super relaxation iteration (SSSOR) method and Schur-based conjugate gradient (SCG) method to solve the linear equation by reducing order. The numerical examples illustrate the effectiveness of the derived result.

      PubDate: 2017-11-09T09:37:31Z
      DOI: 10.1016/j.amc.2017.09.032
      Issue No: Vol. 320 (2017)
       
  • Edge-based modeling of computer virus contagion on a tripartite graph
    • Authors: Wei Pan; Zhen Jin
      Pages: 282 - 291
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Wei Pan, Zhen Jin
      As a typical computer virus, a file virus can parasitize in executable files and infect other files when the host files are executed. Due to the strong similarity between computer viruses and their biological counterparts, in this paper we adapt the epidemiologically compartmental models to study the computer virus contagion. To trace the transmission process of file viruses and determine effective control measures, we derive a pairwise mathematical model by taking account of edge-based contagions. By constructing a tripartite graph, we can determine the potential edges on which contagions take place. The sensitivity analysis for some parameters is performed, indicating that the contagion of file viruses can be effectively restrained by reducing the use of portable storage devices with computers which have not installed antivirus softwares or by reducing the transmission rate from infected web pages to susceptible computers. It is also found that the final number of infected computers is much lower in scale-free networks than in Poisson degree distributed networks.

      PubDate: 2017-11-09T09:37:31Z
      DOI: 10.1016/j.amc.2017.09.044
      Issue No: Vol. 320 (2017)
       
  • Optimal superconvergence results for Volterra functional integral
           equations with proportional vanishing delays
    • Authors: Wanyuan Ming; Chengming Huang; Longbin Zhao
      Pages: 292 - 301
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Wanyuan Ming, Chengming Huang, Longbin Zhao
      In this paper, we develop a new technique to study the optimal convergence orders of collocation methods for Volterra functional integral equations with vanishing delays on quasi-geometric meshes. Basing on a perturbation analysis, we show that for m collocation points, the global convergence order of the collocation solution is only m. However, the collocation solution may exhibit superconvergence with order m + 1 at the collocation points. In particular, the local convergence order may attain 2 m − 1 at the nodes, provided that the collocation is based on the m Radau II points. Finally, some numerical examples are performed to verify our theoretical results.

      PubDate: 2017-11-09T09:37:31Z
      DOI: 10.1016/j.amc.2017.09.045
      Issue No: Vol. 320 (2017)
       
  • The η-anti-Hermitian solution to some classic matrix equations
    • Authors: Xin Liu
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Xin Liu
      We in this paper consider the η-anti-Hermitian solution to some classic matrix equations A X = B , A X B = C , A X A η * = B , E X E η * + F Y F η * = H , respectively. We derive the necessary and sufficient conditions for the above matrix equations to have η-anti-Hermitian solutions and also provide the general expressions of solutions when those equations are solvable. As applications, for instance, we give the solvability conditions and general η-anti-Hermitian solution to equation system A X = B , C Y = D , M X M η * + N Y N η * = G .

      PubDate: 2017-11-09T09:37:31Z
       
  • A nonlinear multigrid method for inverse problem in the multiphase porous
           media flow
    • Authors: Tao Liu
      Abstract: Publication date: 1 March 2018
      Source:Applied Mathematics and Computation, Volume 320
      Author(s): Tao Liu
      In this paper, we consider a parameter identification problem for the nonlinear convection–diffusion equation in the multiphase porous media flow. A nonlinear multigrid method is proposed for the recovery of permeability. This method works by dynamically adjusting the objective functionals at different grids so that they are consistent with each other, and ultimately reduce, the finest grid objective functional. In this manner, the nonlinear multigrid method can efficiently compute the solution to a desired fine grid inverse problem. Numerical results illustrate that the proposed multigrid approach both dramatically reduces the required computation and improves the reconstructed image quality.

      PubDate: 2017-11-09T09:37:31Z
       
 
 
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