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  • Deep Neural Network for Solving Differential Equations Motivated by Legendre-Galerkin Approximation

    Bryce Chudomelka, Youngjoon Hong, John Morgan, Hyunwoo Kim, Jinyoung Park
    2024-10-08
    DOI:10.4208/ijnam2024-1026
    13073 1094 pp. 652-673
  • High Order Method for Variable Coefficient Integro-Differential Equations and Inequalities Arising in Option Pricing

    Pradeep Kumar Sahu, Kuldip Singh Patel
    2023-05-22
    DOI:10.4208/ijnam2023-1023
    28452 2451 pp. 538-556
  • Weak Galerkin Finite Element Methods for Parabolic Problems with $L^2$ Initial Data

    Naresh Kumar, Bhupen Deka
    2023-01-14
    DOI:10.4208/ijnam2023-1009
    28430 2553 pp. 199-228
  • Fully Diagonalized Chebyshev Spectral Methods for Second and Fourth Order Elliptic Boundary Value Problems

    Jing-Min Li, Zhong-Qing Wang, Huiyuan Li
    2018-08-14
    31883 3788 pp. 243-259
  • An Integral Equation Model for PET Imaging

    Xinhuang Tang, Charles Ross Schmidtlein, Si Li, Yuesheng Xu
    2021-11-05
    43385 2690 pp. 834-864
  • Weakly Regular Sturm-Liouville Problems: A Corrected Spectral Matrix Method

    Cecilia Magherini
    2021-02-04
    33071 3242 pp. 62-78
  • Asymptotically Exact a Posteriori Error Estimates for the Local Discontinuous Galerkin Method for Nonlinear KdV Equations in One Space Dimension

    Mahboub Baccouch
    2020-10-27
    36812 2711 pp. 767-793
  • Numerical Investigation on Weak Galerkin Finite Elements

    Junping Wang, Xiu Ye, Shangyou Zhang
    2020-08-04
    33121 2694 pp. 517-531
  • A Finite Difference Scheme for Caputo-Fabrizio Fractional Differential Equations

    Xu Guo, Yutian Li, Tieyong Zeng
    2020-02-03
    36392 2793 pp. 195-211
  • An Arbitrary-Order Ultra-Weak Discontinuous Galerkin Method for Two-Dimensional Semilinear Second-Order Elliptic Problems on Cartesian Grids

    Mahboub Baccouch
    2022-09-27
    37236 2685 pp. 864-886
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