Vol. 13 No. 1 (2023)

Articles

Dynamical Behavior of a Lotka-Volterra Competitive System from River Ecology

Jinyu Wei, Bin Liu
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41661 4073 Pages:1-21
Stability and Convergence of $L1$-Galerkin Spectral Methods for the Nonlinear Time Fractional Cable Equation

Yanping Chen, Xiuxiu Lin, Mengjuan Zhang, Yunqing Huang
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41745 4073 Pages:22-46
Fast Solvers for Systems of Linear Equations with Block-Band Matrices

B.Ya. Steinberg, O.B. Steinberg, P.A. Oganesyan, A.A. Vasilenko, V.V. Veselovskiy, N.A. Zhivykh
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41150 3973 Pages:47-58
Convergence Rates of Split-Step Theta Methods for SDEs with Non-Globally Lipschitz Diffusion Coefficients

Xiaojuan Wu, Siqing Gan
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41252 4146 Pages:59-75
A Class of Relaxed TTSCSP Iteration Methods for Weakly Nonlinear Systems

Xiaohui Yu, Qingbiao Wu
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40107 3644 Pages:76-94
Neural Network Method for Integral Fractional Laplace Equations

Zhaopeng Hao, Moongyu Park, Zhiqiang Cai
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40931 4213 Pages:95-118
An Efficient EXCMG-Newton Method Combined with Fourth-Order Compact Schemes for Semilinear Poisson Equations

Pinxia Wu, Kejia Pan, Weiwei Ling, Dongdong He
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40852 3825 Pages:119-139
A Priori Error Analysis of Mixed Virtual Element Methods for Optimal Control Problems Governed by Darcy Equation

Xiuhe Wang, Qiming Wang, Zhaojie Zhou
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40287 3925 Pages:140-161
Framework and Numerical Algorithm for a Phase Field Fracture Model

S. Karthik, A. Nasedkina, A. Nasedkin, A. Rajagopal
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40240 3832 Pages:162-176
Cryptographic Systems Based on an Algebraic Structure

Łukasz Matysiak, Monika Chrzaniuk, Maximilian Duda, Marta Hanc, Sebastian Kowalski, Zoja Skotnicka, Martin Waldoch
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38588 3651 Pages:177-193
Error Estimates of Finite Difference Methods for the Fractional Poisson Equation with Extended Nonhomogeneous Boundary Conditions

Xinyan Li
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39578 3616 Pages:194-212