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  • On Polar Decomposition of Tensors with Einstein Product and a Novel Iterative Parametric Method

    Raziyeh Erfanifar, Masoud Hajarian, Khosro Sayevand
    2024-02-26
    DOI:10.4208/nmtma.OA-2023-0065
    27041 2681 pp. 69-92
  • Itô-Taylor Schemes for Solving Mean-Field Stochastic Differential Equations

    Yabing Sun, Jie Yang, Weidong Zhao
    2017-11-02
    DOI:10.4208/nmtma.2017.0007
    39545 2776 pp. 798-828
  • Second Order Convergence of the Interpolation Based on $Q^c_1$-Element

    Ruijian He, Xinlong Feng
    2016-09-01
    DOI:10.4208/nmtma.2016.m1503
    39919 2799 pp. 595-618
  • Fitted Mesh Method for a Class of Singularly Perturbed Differential-Difference Equations

    Devendra Kumar
    2015-08-01
    DOI:10.4208/nmtma.2015.my14005
    40409 2970 pp. 496-514
  • Convergence Analysis of a Block-by-Block Method for Fractional Differential Equations

    Jianfei Huang, Yifa Tang, Luis Vazquez
    2018-08-14
    DOI:10.4208/nmtma.2012.m1038
    42476 3961 pp. 229-241
  • An Accurate Numerical Scheme for Mean-Field Forward and Backward SDEs with Jumps

    Yabing Sun, Jie Yang, Weidong Zhao
    2024-02-26
    DOI:10.4208/nmtma.OA-2023-0048
    23819 2366 pp. 243-274
  • A High-Order Piecewise Quartic Spline Rule for Hadamard Integral and Its Application of the Cavity Scattering

    Meiling Zhao, Wenjie He, Gendai Gu
    2021-06-02
    DOI:10.4208/nmtma.2020-0163
    46376 2667 pp. 811-838
  • An Optimized Two-Step Hybrid Block Method Formulated in Variable Step-Size Mode for Integrating $y''=f(x,y,y')$ Numerically

    Gurjinder Singh, Higinio Ramos
    2018-12-17
    DOI:10.4208/nmtma.OA-2018-0036
    42911 2796 pp. 640-660
  • Optimal Rate Convergence Analysis of a Second Order Numerical Scheme for the Poisson-Nernst-Planck System

    Jie Ding, Cheng Wang, Shenggao Zhou
    2018-12-17
    DOI:10.4208/nmtma.OA-2018-0058
    42344 2896 pp. 607-626
  • A Fourth-Order Modified Method for the Cauchy Problem of the Modified Helmholtz Equation

    R. Shi, T. Wei, H. H. Qin
    2009-02-01
    DOI:10.4208/nmtma.2009.m88032
    40693 3576 pp. 326-340
  • Meshfree First-Order System Least Squares

    Hugh R. MacMillan, Max D. Gunzburger, John V. Burkardt
    2018-08-14
    38350 3921 pp. 29-43
  • A Highly Efficient USOR-Like Iterative Method for the Stationary Wigner Equation with Scattering

    Yidan Wang, Haiyan Jiang, Tiao Lu, Wenqi Yao
    2025-09-30
    DOI:10.4208/nmtma.OA-2025-0019
    624 267 pp. 1-19
  • An Adaptive Physics-Informed Neural Network with Two-Stage Learning Strategy to Solve Partial Differential Equations

    Shuyan Shi, Ding Liu, Ruirui Ji, Yuchao Han
    2023-04-10
    DOI:10.4208/nmtma.OA-2022-0063
    40305 3188 pp. 298-322
  • An Efficient Mapped WENO Scheme Using Approximate Constant Mapping

    Ruo Li, Wei Zhong
    2022-02-09
    DOI:10.4208/nmtma.OA-2021-0074
    45062 3801 pp. 1-41
  • A Linearized Spectral-Galerkin Method for Three-Dimensional Riesz-Like Space Fractional Nonlinear Coupled Reaction-Diffusion Equations

    Shimin Guo, Wenjing Yan, Liquan Mei, Ying Wang, Lingling Wang
    2021-06-02
    DOI:10.4208/nmtma.OA-2020-0093
    47880 2896 pp. 738-772
  • Mean-Square Approximation of Navier-Stokes Equations with Additive Noise in Vorticity-Velocity Formulation

    G.N. Milstein, M.V. Tretyakov
    2020-10-09
    DOI:10.4208/nmtma.OA-2020-0034
    49044 3929 pp. 1-30
  • Fast Evaluation of Linear Combinations of Caputo Fractional Derivatives and Its Applications to Multi-Term Time-Fractional Sub-Diffusion Equations

    Guanghua Gao, Qian Yang
    2020-03-09
    DOI:10.4208/nmtma.OA-2019-0013
    46044 3003 pp. 433-451
  • FDMs for the PDEs of Option Pricing Under DEV Models with Counterparty Risk

    Jingtang Ma, Yong Chen, Taoshun He, Zhijun Tan
    2019-10-12
    DOI:10.4208/nmtma.OA-2018-0126
    44376 2634 pp. 1246-1265
  • Weak and Strong Convergence of Two Algorithms for the Split Fixed Point Problem

    Fenghui Wang, Hong-Kun Xu
    2021-01-13
    DOI:10.4208/nmtma.2018.s05
    42313 2863 pp. 770-781
  • A Biquadratic Characteristic Finite Volume Element Method for Time-Fractional Convection-Dominated Equations

    Xinyue Zhao, Ziqi Tu, Xiang Wang
    2025-10-22
    DOI:10.4208/nmtma.OA-2025-0018
    5549 386 pp. 1027-1065
  • Numerical Analysis of a Second Order Crank-Nicolson Mixed Finite Element Method for the Swift-Hohenberg Equation

    Hongling Li, Manting Xie, Meiling Yue
    2025-10-22
    DOI:10.4208/nmtma.OA-2025-0007
    5584 361 pp. 947-971
  • Stability and Error Analysis of SAV Semi-Discrete Scheme for Cahn-Hilliard-Navier-Stokes Model

    Haijun Gao, Xi Li, Minfu Feng
    2025-04-06
    DOI:10.4208/nmtma.OA-2024-0050
    7199 733 pp. 66-102
  • Fusing Infrared and Visible Images via a First-Order Model

    Wenli Yang, Zhongyi Huang, Wei Zhu
    2024-05-11
    DOI:10.4208/nmtma.OA-2023-0091
    26484 2241 pp. 275-309
  • Convergence of Weak Galerkin Finite Element Method for Second Order Linear Wave Equation in Heterogeneous Media

    Bhupen Deka, Papri Roy, Naresh Kumar, Raman Kumar
    2023-04-10
    DOI:10.4208/nmtma.OA-2021-0080
    38300 2867 pp. 323-347
  • An Improved Linearity-Preserving Cell-Centered Scheme for Nonlinear Diffusion Problems on General Meshes

    Cheng Dong, Tong Kang
    2021-01-26
    DOI:10.4208/nmtma.OA-2020-0006
    44841 2682 pp. 405-437
  • Newton Linearized Methods for Semilinear Parabolic Equations

    Boya Zhou, Dongfang Li
    2020-12-02
    DOI:10.4208/nmtma.OA-2019-0139
    49317 3096 pp. 928-945
  • Highly Accurate Numerical Schemes for Stochastic Optimal Control via FBSDEs

    Yu Fu, Weidong Zhao, Tao Zhou
    2020-03-09
    DOI:10.4208/nmtma.OA-2019-0137
    48706 3087 pp. 296-319
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