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  Subjects -> COMPUTER SCIENCE (Total: 1985 journals)
    - ANIMATION AND SIMULATION (29 journals)
    - ARTIFICIAL INTELLIGENCE (98 journals)
    - AUTOMATION AND ROBOTICS (98 journals)
    - CLOUD COMPUTING AND NETWORKS (63 journals)
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    - COMPUTER GAMES (16 journals)
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    - COMPUTER SCIENCE (1153 journals)
    - COMPUTER SECURITY (45 journals)
    - DATA BASE MANAGEMENT (13 journals)
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    - INFORMATION SYSTEMS (104 journals)
    - INTERNET (92 journals)
    - SOCIAL WEB (50 journals)
    - SOFTWARE (33 journals)
    - THEORY OF COMPUTING (8 journals)

COMPUTER SCIENCE (1153 journals)                  1 2 3 4 5 6 | Last

Showing 1 - 200 of 872 Journals sorted alphabetically
3D Printing and Additive Manufacturing     Full-text available via subscription   (Followers: 12)
Abakós     Open Access   (Followers: 3)
Academy of Information and Management Sciences Journal     Full-text available via subscription   (Followers: 67)
ACM Computing Surveys     Hybrid Journal   (Followers: 23)
ACM Journal on Computing and Cultural Heritage     Hybrid Journal   (Followers: 8)
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: 11)
ACM Transactions on Computational Logic (TOCL)     Hybrid Journal   (Followers: 4)
ACM Transactions on Computer Systems (TOCS)     Hybrid Journal   (Followers: 18)
ACM Transactions on Computer-Human Interaction     Hybrid Journal   (Followers: 12)
ACM Transactions on Computing Education (TOCE)     Hybrid Journal   (Followers: 3)
ACM Transactions on Design Automation of Electronic Systems (TODAES)     Hybrid Journal   (Followers: 1)
ACM Transactions on Economics and Computation     Hybrid Journal  
ACM Transactions on Embedded Computing Systems (TECS)     Hybrid Journal   (Followers: 4)
ACM Transactions on Information Systems (TOIS)     Hybrid Journal   (Followers: 20)
ACM Transactions on Intelligent Systems and Technology (TIST)     Hybrid Journal   (Followers: 9)
ACM Transactions on Interactive Intelligent Systems (TiiS)     Hybrid Journal   (Followers: 4)
ACM Transactions on Multimedia Computing, Communications, and Applications (TOMCCAP)     Hybrid Journal   (Followers: 10)
ACM Transactions on Reconfigurable Technology and Systems (TRETS)     Hybrid Journal   (Followers: 7)
ACM Transactions on Sensor Networks (TOSN)     Hybrid Journal   (Followers: 8)
ACM Transactions on Speech and Language Processing (TSLP)     Hybrid Journal   (Followers: 11)
ACM Transactions on Storage     Hybrid Journal  
ACS Applied Materials & Interfaces     Full-text available via subscription   (Followers: 21)
Acta Automatica Sinica     Full-text available via subscription   (Followers: 3)
Acta Universitatis Cibiniensis. Technical Series     Open Access  
Ad Hoc Networks     Hybrid Journal   (Followers: 11)
Adaptive Behavior     Hybrid Journal   (Followers: 11)
Advanced Engineering Materials     Hybrid Journal   (Followers: 26)
Advanced Science Letters     Full-text available via subscription   (Followers: 7)
Advances in Adaptive Data Analysis     Hybrid Journal   (Followers: 8)
Advances in Artificial Intelligence     Open Access   (Followers: 15)
Advances in Artificial Neural Systems     Open Access   (Followers: 4)
Advances in Calculus of Variations     Hybrid Journal   (Followers: 2)
Advances in Catalysis     Full-text available via subscription   (Followers: 5)
Advances in Computational Mathematics     Hybrid Journal   (Followers: 15)
Advances in Computer Science : an International Journal     Open Access   (Followers: 13)
Advances in Computing     Open Access   (Followers: 3)
Advances in Data Analysis and Classification     Hybrid Journal   (Followers: 53)
Advances in Engineering Software     Hybrid Journal   (Followers: 25)
Advances in Geosciences (ADGEO)     Open Access   (Followers: 10)
Advances in Human Factors/Ergonomics     Full-text available via subscription   (Followers: 25)
Advances in Human-Computer Interaction     Open Access   (Followers: 19)
Advances in Materials Sciences     Open Access   (Followers: 16)
Advances in Operations Research     Open Access   (Followers: 11)
Advances in Parallel Computing     Full-text available via subscription   (Followers: 7)
Advances in Porous Media     Full-text available via subscription   (Followers: 4)
Advances in Remote Sensing     Open Access   (Followers: 37)
Advances in Science and Research (ASR)     Open Access   (Followers: 6)
Advances in Technology Innovation     Open Access  
AEU - International Journal of Electronics and Communications     Hybrid Journal   (Followers: 8)
African Journal of Information and Communication     Open Access   (Followers: 6)
African Journal of Mathematics and Computer Science Research     Open Access   (Followers: 4)
Air, Soil & Water Research     Open Access   (Followers: 7)
AIS Transactions on Human-Computer Interaction     Open Access   (Followers: 6)
Algebras and Representation Theory     Hybrid Journal   (Followers: 1)
Algorithms     Open Access   (Followers: 10)
American Journal of Computational and Applied Mathematics     Open Access   (Followers: 3)
American Journal of Computational Mathematics     Open Access   (Followers: 4)
American Journal of Information Systems     Open Access   (Followers: 6)
American Journal of Sensor Technology     Open Access   (Followers: 2)
Anais da Academia Brasileira de Ciências     Open Access   (Followers: 2)
Analog Integrated Circuits and Signal Processing     Hybrid Journal   (Followers: 5)
Analysis in Theory and Applications     Hybrid Journal  
Animation Practice, Process & Production     Hybrid Journal   (Followers: 5)
Annals of Combinatorics     Hybrid Journal   (Followers: 3)
Annals of Data Science     Hybrid Journal   (Followers: 8)
Annals of Mathematics and Artificial Intelligence     Hybrid Journal   (Followers: 6)
Annals of Pure and Applied Logic     Open Access   (Followers: 2)
Annals of Software Engineering     Hybrid Journal   (Followers: 12)
Annual Reviews in Control     Hybrid Journal   (Followers: 6)
Anuario Americanista Europeo     Open Access  
Applicable Algebra in Engineering, Communication and Computing     Hybrid Journal   (Followers: 2)
Applied and Computational Harmonic Analysis     Full-text available via subscription   (Followers: 2)
Applied Artificial Intelligence: An International Journal     Hybrid Journal   (Followers: 14)
Applied Categorical Structures     Hybrid Journal   (Followers: 2)
Applied Clinical Informatics     Hybrid Journal   (Followers: 1)
Applied Computational Intelligence and Soft Computing     Open Access   (Followers: 12)
Applied Computer Systems     Open Access   (Followers: 1)
Applied Informatics     Open Access  
Applied Mathematics and Computation     Hybrid Journal   (Followers: 32)
Applied Medical Informatics     Open Access   (Followers: 10)
Applied Numerical Mathematics     Hybrid Journal   (Followers: 5)
Applied Soft Computing     Hybrid Journal   (Followers: 16)
Applied Spatial Analysis and Policy     Hybrid Journal   (Followers: 4)
Architectural Theory Review     Hybrid Journal   (Followers: 3)
Archive of Applied Mechanics     Hybrid Journal   (Followers: 4)
Archive of Numerical Software     Open Access  
Archives and Museum Informatics     Hybrid Journal   (Followers: 122)
Archives of Computational Methods in Engineering     Hybrid Journal   (Followers: 4)
Artifact     Hybrid Journal   (Followers: 2)
Artificial Life     Hybrid Journal   (Followers: 5)
Asia Pacific Journal on Computational Engineering     Open Access  
Asia-Pacific Journal of Information Technology and Multimedia     Open Access   (Followers: 1)
Asian Journal of Computer Science and Information Technology     Open Access  
Asian Journal of Control     Hybrid Journal  
Assembly Automation     Hybrid Journal   (Followers: 2)
at - Automatisierungstechnik     Hybrid Journal   (Followers: 1)
Australian Educational Computing     Open Access  
Automatic Control and Computer Sciences     Hybrid Journal   (Followers: 3)
Automatic Documentation and Mathematical Linguistics     Hybrid Journal   (Followers: 5)
Automatica     Hybrid Journal   (Followers: 9)
Automation in Construction     Hybrid Journal   (Followers: 6)
Autonomous Mental Development, IEEE Transactions on     Hybrid Journal   (Followers: 8)
Basin Research     Hybrid Journal   (Followers: 4)
Behaviour & Information Technology     Hybrid Journal   (Followers: 52)
Bioinformatics     Hybrid Journal   (Followers: 293)
Biomedical Engineering     Hybrid Journal   (Followers: 16)
Biomedical Engineering and Computational Biology     Open Access   (Followers: 13)
Biomedical Engineering, IEEE Reviews in     Full-text available via subscription   (Followers: 17)
Biomedical Engineering, IEEE Transactions on     Hybrid Journal   (Followers: 32)
Briefings in Bioinformatics     Hybrid Journal   (Followers: 45)
British Journal of Educational Technology     Hybrid Journal   (Followers: 119)
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: 13)
Catalysis in Industry     Hybrid Journal   (Followers: 1)
CEAS Space Journal     Hybrid Journal  
Cell Communication and Signaling     Open Access   (Followers: 1)
Central European Journal of Computer Science     Hybrid Journal   (Followers: 5)
CERN IdeaSquare Journal of Experimental Innovation     Open Access  
Chaos, Solitons & Fractals     Hybrid Journal   (Followers: 3)
Chemometrics and Intelligent Laboratory Systems     Hybrid Journal   (Followers: 15)
ChemSusChem     Hybrid Journal   (Followers: 7)
China Communications     Full-text available via subscription   (Followers: 7)
Chinese Journal of Catalysis     Full-text available via subscription   (Followers: 2)
CIN Computers Informatics Nursing     Full-text available via subscription   (Followers: 12)
Circuits and Systems     Open Access   (Followers: 16)
Clean Air Journal     Full-text available via subscription   (Followers: 2)
CLEI Electronic Journal     Open Access  
Clin-Alert     Hybrid Journal   (Followers: 1)
Cluster Computing     Hybrid Journal   (Followers: 1)
Cognitive Computation     Hybrid Journal   (Followers: 4)
COMBINATORICA     Hybrid Journal  
Combustion Theory and Modelling     Hybrid Journal   (Followers: 13)
Communication Methods and Measures     Hybrid Journal   (Followers: 11)
Communication Theory     Hybrid Journal   (Followers: 19)
Communications Engineer     Hybrid Journal   (Followers: 1)
Communications in Algebra     Hybrid Journal   (Followers: 3)
Communications in Partial Differential Equations     Hybrid Journal   (Followers: 3)
Communications of the ACM     Full-text available via subscription   (Followers: 53)
Communications of the Association for Information Systems     Open Access   (Followers: 18)
COMPEL: The International Journal for Computation and Mathematics in Electrical and Electronic Engineering     Hybrid Journal   (Followers: 3)
Complex & Intelligent Systems     Open Access  
Complex Adaptive Systems Modeling     Open Access  
Complex Analysis and Operator Theory     Hybrid Journal   (Followers: 2)
Complexity     Hybrid Journal   (Followers: 6)
Complexus     Full-text available via subscription  
Composite Materials Series     Full-text available via subscription   (Followers: 9)
Computación y Sistemas     Open Access  
Computation     Open Access  
Computational and Applied Mathematics     Hybrid Journal   (Followers: 2)
Computational and Mathematical Methods in Medicine     Open Access   (Followers: 2)
Computational and Mathematical Organization Theory     Hybrid Journal   (Followers: 2)
Computational and Structural Biotechnology Journal     Open Access   (Followers: 2)
Computational and Theoretical Chemistry     Hybrid Journal   (Followers: 9)
Computational Astrophysics and Cosmology     Open Access   (Followers: 1)
Computational Biology and Chemistry     Hybrid Journal   (Followers: 12)
Computational Chemistry     Open Access   (Followers: 2)
Computational Cognitive Science     Open Access   (Followers: 1)
Computational Complexity     Hybrid Journal   (Followers: 4)
Computational Condensed Matter     Open Access  
Computational Ecology and Software     Open Access   (Followers: 8)
Computational Economics     Hybrid Journal   (Followers: 9)
Computational Geosciences     Hybrid Journal   (Followers: 13)
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: 28)
Computer     Full-text available via subscription   (Followers: 83)
Computer Aided Surgery     Hybrid Journal   (Followers: 3)
Computer Applications in Engineering Education     Hybrid Journal   (Followers: 6)
Computer Communications     Hybrid Journal   (Followers: 10)
Computer Engineering and Applications Journal     Open Access   (Followers: 5)
Computer Journal     Hybrid Journal   (Followers: 7)
Computer Methods in Applied Mechanics and Engineering     Hybrid Journal   (Followers: 22)
Computer Methods in Biomechanics and Biomedical Engineering     Hybrid Journal   (Followers: 10)
Computer Methods in the Geosciences     Full-text available via subscription   (Followers: 1)
Computer Music Journal     Hybrid Journal   (Followers: 14)
Computer Physics Communications     Hybrid Journal   (Followers: 6)
Computer Science - Research and Development     Hybrid Journal   (Followers: 7)
Computer Science and Engineering     Open Access   (Followers: 17)
Computer Science and Information Technology     Open Access   (Followers: 11)
Computer Science Education     Hybrid Journal   (Followers: 12)
Computer Science Journal     Open Access   (Followers: 20)

        1 2 3 4 5 6 | Last

Journal Cover Applied Mathematics and Computation
  [SJR: 1.008]   [H-I: 100]   [32 followers]  Follow
    
   Hybrid Journal Hybrid journal (It can contain Open Access articles)
   ISSN (Print) 0096-3003
   Published by Elsevier Homepage  [3042 journals]
  • The influence of internal noise on the detection of hormonal signal with
           the existence of external noise in a cell system
    • Authors: Hongying Li; Chengli Yao
      Pages: 1 - 6
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Hongying Li, Chengli Yao
      In recent years, the constructive role of internal noise in mesoscopic system has attracted much attention. Because the external noise is also unavoidable, it is more practical to study the influence of internal noise with the existence of external noise in these systems. By constructing a mesoscopic stochastic model of a cell system, we discussed the influence of internal noise on the detection of hormonal signal with the existence of external noise. Results have found that internal noise can play a constructive role when external noise intensity is at some regions (D < 1.0 and D > 1.16), so that the cell system can effectively detect the weak hormonal signal through intracellular calcium spikes. This phenomenon is different from the results found previously, where it was found that internal noise always played a destructive role except for at very small external noise intensity.

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

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

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.06.027
      Issue No: Vol. 314 (2017)
       
  • Random neighborhood graphs as models of fracture networks on rocks:
           Structural and dynamical analysis
    • Authors: Ernesto Estrada; Matthew Sheerin
      Pages: 360 - 379
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Ernesto Estrada, Matthew Sheerin
      We propose a new model to account for the main structural characteristics of rock fracture networks (RFNs). The model is based on a generalization of the random neighborhood graphs to consider fractures embedded into rectangular spaces. We study a series of 29 real-world RFNs and find the best fit with the random rectangular neighborhood graphs (RRNGs) proposed here. We show that this model captures most of the structural characteristics of the RFNs and allows a distinction between small and more spherical rocks and large and more elongated ones. We use a diffusion equation on the graphs in order to model diffusive processes taking place through the channels of the RFNs. We find a small set of structural parameters that highly correlates with the average diffusion time in the RFNs. We found analytically some bounds for the diameter and the algebraic connectivity of these graphs that allow to bound the diffusion time in these networks. We also show that the RRNGs can be used as a suitable model to replace the RFNs in the study of diffusion-like processes. Indeed, the diffusion time in RFNs can be predicted by using structural and dynamical parameters of the RRNGs. Finally, we also explore some potential extensions of our model to include variable fracture apertures, the possibility of long-range hops of the diffusive particles as a way to account for heterogeneities in the medium and possible superdiffusive processes, and the extension of the model to 3-dimensional space.

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

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

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

      PubDate: 2017-07-24T06:02:17Z
      DOI: 10.1016/j.amc.2017.07.016
      Issue No: Vol. 314 (2017)
       
  • A family of non-uniform subdivision schemes with variable parameters for
           curve design
    • Authors: Mei-e Fang; Byeongseon Jeong; Jungho Yoon
      Pages: 1 - 11
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Mei-e Fang, Byeongseon Jeong, Jungho Yoon
      In this paper, we present non-uniform subdivision schemes with variable parameter sequences. A locally different tension parameter is set at each edge of the initial control polygon to control locally the shape of the resulting curve such that the scheme becomes non-uniform. Due to the variable parameters, the scheme can reproduce locally different analytic curves such as conics, Lissajous, trigonometric and catenary curves. Hence blending curves including such analytic components can be successfully generated. We discuss the convergence and smoothness of the proposed non-uniform schemes and present some numerical results to demonstrate their advantages in geometric modeling. Furthermore, as an application, we propose a chamfering algorithm which can be used in designing automobile and mechanical products.

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

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

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

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

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

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

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

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.04.034
      Issue No: Vol. 313 (2017)
       
  • The classification of f-coloring of graphs with large maximum degree
    • Authors: Jiansheng Cai; Guiying Yan; Xia Zhang
      Pages: 119 - 121
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Jiansheng Cai, Guiying Yan, Xia Zhang
      Let G = ( V , E ) be a simple graph with vertex set V and edge set E. Define an integer-valued function f on V such that f(v) > 0 for every v ∈ V. An f-coloring of G is an edge-coloring of it such that each color class appears at every vertex v ∈ V(G) at most f(v) times. In this paper, we give a sufficient condition for a simple graph with large maximum degree to be of f-class 1.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.05.059
      Issue No: Vol. 313 (2017)
       
  • Epidemic waves of a spatial SIR model in combination with random dispersal
           and non-local dispersal
    • Authors: Chufen Wu; Yong Yang; Qianyi Zhao; Yanling Tian; Zhiting Xu
      Pages: 122 - 143
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Chufen Wu, Yong Yang, Qianyi Zhao, Yanling Tian, Zhiting Xu
      In this paper, a spatial SIR model in combination with random dispersal and non-local dispersal is proposed. We establish the existence and non-existence of the traveling wave solutions connecting the disease-free equilibrium and the endemic equilibrium for the model. The main difficulties lie in the fact that the semiflow generated here does not admit the order-preserving property and the solutions lack of regularity. We use a proper iteration scheme to construct a pair of upper and lower solutions and then apply the Schauder’s fixed-point theorem, polar coordinates transform to study the threshold dynamics of the model. That is, we show that if the basic reproduction number of the model R 0 > 1 , there is a positive constant critical number c * such that for each c ≥ c *, the model admits a non-trivial and positive traveling wave with wave speed c; and if R 0 > 1 and 0 < c < c *, the model admits no non-trivial and non-negative traveling waves. In view of the numerical simulations, we see that the epidemic waves are not monotone and the non-local dispersal may cause them to oscillate more frequently.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.05.068
      Issue No: Vol. 313 (2017)
       
  • A fourth-order AVF method for the numerical integration of sine-Gordon
           equation
    • Authors: Chaolong Jiang; Jianqiang Sun; Haochen Li; Yifan Wang
      Pages: 144 - 158
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Chaolong Jiang, Jianqiang Sun, Haochen Li, Yifan Wang
      In this paper, a new scheme, which has energy-preserving property, is proposed for solving the sine-Gordon equation with periodic boundary conditions. It is obtained by the Fourier pseudo-spectral method and the fourth order average vector field method. In numerical experiments, the new high order energy-preserving scheme is compared with a number of existing numerical schemes for the one dimensional sine-Gordon equation. The new high order energy-preserving scheme for the two dimensional sine-Gordon equation is also investigated. Numerical results are addressed to further illustrate the conservation of energy and the evolutional behaviors of solitons.

      PubDate: 2017-06-11T15:18:24Z
      DOI: 10.1016/j.amc.2017.05.055
      Issue No: Vol. 313 (2017)
       
  • Dynamic analysis of fractional-order singular Holling type-II
           predator–prey system
    • Authors: Komeil Nosrati; Masoud Shafiee
      Pages: 159 - 179
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Komeil Nosrati, Masoud Shafiee
      In this paper, a fractional-order singular (FOS) predator–prey model with Holling type-II functional response has been introduced, and the mathematical behavior of the model from the aspect of local stability is investigated. Through the fractional calculus and economic theory, a new and more realistic predator–prey model has been extended, and the solvability condition is presented. Besides, numerical simulations are considered to illustrate the effectiveness of the numerical method and confirm the theoretical results to explore the impacts of fractional-order and economic interest on the presented system in biological context. It is found that the presence of fractional-order in the differential model can improve the stability of the solutions and enrich the dynamics of system. In addition, singular models exhibit more complicated dynamics rather than standard models, especially the bifurcation phenomena, which can reveal the instability mechanism of systems.

      PubDate: 2017-06-16T15:30:53Z
      DOI: 10.1016/j.amc.2017.05.067
      Issue No: Vol. 313 (2017)
       
  • Solving over-constrained systems of non-linear interval equations – And
           its robotic application
    • Authors: Julien Alexandre dit Sandretto; Milan Hladík
      Pages: 180 - 195
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Julien Alexandre dit Sandretto, Milan Hladík
      This paper presents and describes in details an original method developed to solve over-constrained systems of non-linear interval equations that arise namely in parameter identification problems deriving from physical models and uncertain measurements. Our approach consists of computing an interval enclosure of the least square solution set and an inner box of tolerable solution set. This method is applied in a detailed example and some interesting results obtained for the calibration of a cable-driven robot are shown.

      PubDate: 2017-06-16T15:30:53Z
      DOI: 10.1016/j.amc.2017.05.077
      Issue No: Vol. 313 (2017)
       
  • Buckling of moderately thick arbitrarily shaped plates with intermediate
           point supports using a simple hp-cloud method
    • Authors: Nasrin Jafari; Mojtaba Azhari
      Pages: 196 - 208
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Nasrin Jafari, Mojtaba Azhari
      This paper presents the simple hp-cloud meshless method for the stability analysis of moderately thick plates with various shapes subjected to uniaxial and biaxial in-plane compressive and pure shear loads. To allow the effect of transverse shear deformation on the critical buckling load of the plate, the Mindlin's plate theory is employed. Simple hp-cloud method is applied for constructing the cloud shape functions and for discretization of the domain. Shepard functions are also used for the partition of unity and complete polynomials are utilized for the enrichment functions part. The simple hp-cloud method has Kronecker delta property, so contrary to most of meshless methods the essential boundary conditions can be imposed directly. Constructing the stiffness and geometry matrices leads to an eigenvalue problem that should be solved to determine the critical buckling load of the plate. Numerical results are verified against the results reported elsewhere to illustrate the accuracy and effectiveness of the present method. To show the applications of simple hp-cloud method in the buckling analysis of moderately thick plates, local buckling coefficients of various shapes of plates, rectangular, skew, trapezoidal, triangular, circular, semi-circular, hexagonal and general shape with different boundary conditions are determined. Also, local buckling coefficients of plates with point supports and intermediate support are calculated.

      PubDate: 2017-06-16T15:30:53Z
      DOI: 10.1016/j.amc.2017.05.079
      Issue No: Vol. 313 (2017)
       
  • A non-stationary combined subdivision scheme generating exponential
           polynomials
    • Authors: Hongchan Zheng; Baoxing Zhang
      Pages: 209 - 221
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Hongchan Zheng, Baoxing Zhang
      In this paper, a non-stationary combined subdivision scheme is presented, which can unify several existing non-stationary approximating and interpolatory subdivision schemes. This scheme is obtained by generalizing the connection between the approximating and interpolatory schemes in the stationary case, first formalized by Maillot & Stam using a push-back operator, to the non-stationary case. For such a combined scheme, we investigate its Cl convergence and exponential polynomial generation/reproduction property and get that it can reach C 4 degree of smoothness and generate/reproduce certain exponential polynomials with suitable choices of the parameters. Besides, we give a more generalized combined scheme for the purpose of generating and reproducing more general exponential polynomials. The performance of our new schemes is illustrated by several numerical examples.

      PubDate: 2017-07-12T04:03:45Z
      DOI: 10.1016/j.amc.2017.05.066
      Issue No: Vol. 313 (2017)
       
  • Exponential stability of complex-valued memristor-based neural networks
           with time-varying delays
    • Authors: Yanchao Shi; Jinde Cao; Guanrong Chen
      Pages: 222 - 234
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Yanchao Shi, Jinde Cao, Guanrong Chen
      In this paper, we propose a new type of complex-valued memristor-based neural networks with time-varying delays and discuss their exponential stability. Firstly, by using a matrix measure method, the Halanay inequality and some analytic techniques, we derive a sufficient condition for the global exponential stability of this type of neural networks. Then, we build a Lyapunov functional and utilize the Halanay inequality to establish several criteria for the exponential stability of such networks with time-varying delays. Finally, we show two numerical simulations to demonstrate the theoretical results.

      PubDate: 2017-07-12T04:03:45Z
      DOI: 10.1016/j.amc.2017.05.078
      Issue No: Vol. 313 (2017)
       
  • Generalizations of Szőkefalvi Nagy and Chebyshev inequalities with
           applications in spectral graph theory
    • Authors: Ivan Gutman; Kinkar Ch. Das; Boris Furtula; Emina Milovanović; Igor Milovanović
      Pages: 235 - 244
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Ivan Gutman, Kinkar Ch. Das, Boris Furtula, Emina Milovanović, Igor Milovanović
      Two weighted inequalities for real non-negative sequences are proven. The first one represents a generalization of the Szőkefalvi Nagy inequality for the variance, and the second a generalization of the discrete Chebyshev inequality for two real sequences. Then, the obtained inequalities are used to determine lower bounds for some degree-based topological indices of graphs.

      PubDate: 2017-07-12T04:03:45Z
      DOI: 10.1016/j.amc.2017.05.064
      Issue No: Vol. 313 (2017)
       
  • Pattern formation by super-diffusion in FitzHugh–Nagumo model
    • Authors: Naveed Iqbal; Ranchao Wu; Biao Liu
      Pages: 245 - 258
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Naveed Iqbal, Ranchao Wu, Biao Liu
      The aim of this paper is to examine the Turing instability and pattern formation in the FitzHugh–Nagumo model with super-diffusion in two dimensional numerical simulation. We also studied the effects of the super-diffusive exponent on pattern formation concluding that with the presence of super-diffusion the stable homogenous steady state becomes unstable. By using the stability analysis of local equilibrium point, we procure the conditions which ensure that the Turing and Hopf bifurcations occur. For pattern selection, the weak nonlinear multi-scale analysis is used to derive the amplitude equations of the stationary patterns. We then apply amplitude equations and observe that this model has very rich dynamical behaviors, such as stripes, spots and hexagon patterns. The complexity of the dynamics in this system is theoretically discussed and graphically displayed in numerical simulation. The simulation helps us to show the effectiveness of theoretical analysis and patterns which appear numerically.

      PubDate: 2017-06-21T15:40:13Z
      DOI: 10.1016/j.amc.2017.05.072
      Issue No: Vol. 313 (2017)
       
  • Finite-time fault detection filter design for discrete-time interconnected
           systems with average dwell time
    • Authors: Jian Li; Chun-Yu Wu
      Pages: 259 - 270
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Jian Li, Chun-Yu Wu
      In this paper, we present an approach to finite-time robust fault detection filter design for interconnected systems with disconnected interconnections among these subsystems. Taking various disconnected interconnections into account, a switched scheme is proposed to analysis these complex cases. By modeling these cases of disconnections into independent subsystems, a switching signal is introduced to specify which subsystem is activated. In the aid of the average dwell time method, sufficient conditions on existence of the desired filter are derived in term of linear matrices inequalities, which guarantee the augmented system is finite-time boundedness and achieve the H ∞ performance. A numerical example is used to illustrate the effectiveness of the proposed approach.

      PubDate: 2017-06-21T15:40:13Z
      DOI: 10.1016/j.amc.2017.05.071
      Issue No: Vol. 313 (2017)
       
  • Ordering chemical trees by Wiener polarity index
    • Authors: Ali Reza Ashrafi; Ali Ghalavand
      Pages: 301 - 312
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Ali Reza Ashrafi, Ali Ghalavand
      For a molecular graph G with vertex set V(G), the Wiener polarity index Wp (G) is the number of unordered pairs of vertices {u, v} such that d G ( u , v ) = 3 . In this paper, an ordering of chemical trees of order n with respect to Wiener polarity index is given.

      PubDate: 2017-07-02T15:58:46Z
      DOI: 10.1016/j.amc.2017.06.005
      Issue No: Vol. 313 (2017)
       
  • Quenching for a parabolic equation with variable coefficient modeling MEMS
           technology
    • Authors: Jun Zhou
      Abstract: Publication date: 1 December 2017
      Source:Applied Mathematics and Computation, Volume 314
      Author(s): Jun Zhou
      This paper deals with a parabolic equation with variable coefficient modeling MEMS technology, and we will prove the solution of the problem quenches in finite time in the case without stationary solutions. Numerical simulations are presented to illustrate the theoretical results.

      PubDate: 2017-07-12T04:03:45Z
       
  • Comparative analysis of GMDH neural network based on genetic algorithm and
           particle swarm optimization in stable channel design
    • Authors: Saba Shaghaghi; Hossein Bonakdari Azadeh Gholami Isa Ebtehaj Maryam Zeinolabedini
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Saba Shaghaghi, Hossein Bonakdari, Azadeh Gholami, Isa Ebtehaj, Maryam Zeinolabedini
      Predicting the behavior and geometry of channels and alluvial rivers in which erosion and sediment transport are in equilibrium is among the most important topics relating to river morphology. In this study, the genetic algorithm (GA) is employed to improve the multi-objective Pareto optimal design of group method of data handling (GMDH) neural network results. The connectivity configuration in such networks is not restricted to adjacent layers. GA is applied as a new encoding scheme to generalize the structure of GMDH (GS-GMDH) for determining stable channel width based on 85 field datasets. In addition, the particle swarm optimization (PSO) learning algorithm is extended to GMDH for a better comparison of the models. The input parameters affecting channel width are the discharge, median diameter of bed sediments and Shields parameter. Sensitivity and uncertainty analyses are applied to assess the impact of each input parameter on the output parameter. The results show that GS-GMDH is more efficient than GMDH-PSO, with a high difference between predicted values. The GS-GMDH model with a correlation coefficient (R) value of 0.89 and mean absolute relative error (MARE) value of 0.053 predicted the width of a stable channel more precisely than the regression method with R of 0.81 and MARE of 0.075. The prediction uncertainty of the developed GS-GMDH indicates that the GS-GMDH model with input parameters Q, d50 and τ* has the least mean prediction error (MPE) of 0.019 compared with 0.116, 0.025 and 0.036 for the other models with (d50, τ*), (Q, d50 ) and (Q, τ*) input parameters, respectively.

      PubDate: 2017-06-21T15:40:13Z
       
  • The splitting mixed element method for parabolic equation and its
           application in chemotaxis model
    • Authors: Yuezhi Zhang; Jiansong Zhang
      Abstract: Publication date: 15 November 2017
      Source:Applied Mathematics and Computation, Volume 313
      Author(s): Yuezhi Zhang, Jiansong Zhang
      In this article, we first revisit the splitting positive definite mixed element method for reaction-diffusion equation, in which the mixed system is symmetric positive definite. And then we apply this technique to the variable coefficient parabolic equation and give the corresponding fully-discrete scheme with second-order central difference formula in time. We study the convergence of the semi-discrete and fully-discrete scheme and derive the error estimates. Finally, we extend this method to chemotaxis model and give the corresponding numerical results, which suggests that it has the ability to recover blowing-up solutions.

      PubDate: 2017-06-21T15:40:13Z
       
 
 
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