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  • L1/Local Discontinuous Galerkin Method for the Time-Fractional Stokes Equation

    Changpin Li, Zhen Wang
    2023-01-21
    37742 2939 Pages:1099-1127
  • Convergence Analysis of a Numerical Scheme for the Porous Medium Equation by an Energetic Variational Approach

    Chenghua Duan, Chun Liu, Cheng Wang, Xingye Yue
    2020-03-06
    58813 4446 Pages:63-80
  • Numerical Investigations of a Class of Biological Models on Unbounded Domain

    Qiumei Huang, Dongfang Li & Jiwei Zhang
    2018-09-18
    41728 4515 Pages:169-186
  • Numerical Effects of the Gaussian Recursive Filters in Solving Linear Systems in the 3Dvar Case Study

    Salvatore Cuomo, Ardelio Galletti, Giulio Giunta & Livia Marcellino
    2017-10-01
    38744 2655 Pages:520-540
  • Assessment of Noise Attenuation by Thin Reflecting Barriers Using Dispersion Relation Preserving Scheme

    Jitenjaya Pradhan & Yogesh G. Bhumkar
    2019-04-22
    42622 2669 Pages:942-968
  • 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
    47662 2841 Pages:738-772
  • Selection of Regularization Parameter in the Ambrosio-Tortorelli Approximation of the Mumford-Shah Functional for Image Segmentation

    Yufei Yu & Weizhang Huang
    2018-09-17
    41386 4087 Pages:211-234 Open-access
  • Interpolation by $G^2$ Quintic Pythagorean-Hodograph Curves

    Gašper Jaklič, Jernej Kozak, Marjeta Krajnc, Vito Vitrih & Emil Žagar
    2014-07-01
    39351 3839 Pages:374-398
  • Efficient Simulation of Wave Propagation with Implicit Finite Difference Schemes

    Wensheng Zhang, Li Tong & Eric T. Chung
    2018-08-14
    39499 3733 Pages:205-228
  • An Explicit-Implicit Predictor-Corrector Domain Decomposition Method for Time Dependent Multi-Dimensional Convection Diffusion Equations

    Liyong Zhu, Guangwei Yuan & Qiang Du
    2009-02-01
    41100 3313 Pages:301-325
  • A Second Order Accurate in Time, Energy Stable Finite Element Scheme for a Liquid Thin Film Coarsening Model

    Maoqin Yuan, Lixiu Dong, Juan Zhang
    2025-04-06
    6740 554 Pages:127-156
  • A Third-Order Implicit-Explicit Runge-Kutta Method for Landau-Lifshitz Equation with Arbitrary Damping Parameters

    Yan Gui, Rui Du, Cheng Wang
    2024-12-11
    11732 1212 Pages:1041-1073
  • An Extended Two-Step Method for Inverse Eigenvalue Problems with Multiple Eigenvalues

    Yue Wang, Weiping Shen
    2023-11-07
    27850 2306 Pages:968-992
  • Quasi-Monte Carlo Sampling for Solving Partial Differential Equations by Deep Neural Networks

    Jingrun Chen, Rui Du, Panchi Li, Liyao Lyu
    2021-01-26
    46270 2717 Pages:377-404
  • Numerical Analysis of a Dynamic Contact Problem with History-Dependent Operators

    Hailing Xuan, Xiaoliang Cheng, Weimin Han, Qichang Xiao
    2020-03-16
    57776 3128 Pages:569-594
  • An Improved Model Reduction Method on AIMs for N-S Equations Using Multilevel Finite Element Method and Hierarchical Basis

    M. Nauman Aslam, Jiazhong Zhang, Nannan Dang & Riaz Ahmad
    2018-09-18
    42276 4467 Pages:115-133
  • A Linearized High-Order Combined Compact Difference Scheme for Multi-Dimensional Coupled Burgers' Equations

    Buyun Chen, Dongdong He & Kejia Pan
    2018-09-17
    42110 2841 Pages:299-320
  • Numerical Solution to the Multi-Term Time Fractional Diffusion Equation in a Finite Domain

    Gongsheng Li, Chunlong Sun, Xianzheng Jia & Dianhu Du
    2016-09-01
    39829 2664 Pages:337-357
  • Spectral Method for Nonlinear Stochastic Partial Differential Equations of Elliptic Type

    Yanzhao Cao & Li Yin
    2011-04-01
    40436 4457 Pages:38-52
  • Implicit-Explicit Time Discretization Schemes for a Class of Semilinear Wave Equations with Nonautonomous Dampings

    Zhe Jiao, Yaxu Li, Lijing Zhao
    2025-09-01
    4694 339 Pages:650-679
  • L1 Schemes for Time-Fractional Differential Equations: A Brief Survey and New Development

    Jingjing Xiao, Yanping Chen, Fanhai Zeng, Zhongqiang Zhang
    2025-05-16
    7344 513 Pages:544-574
  • A Stabilized Physics Informed Neural Networks Method for Wave Equations

    Yuling Jiao, Yuhui Liu, Jerry Zhijian Yang, Cheng Yuan
    2024-12-11
    11675 1310 Pages:1100-1127
  • New Log Basis Functions with a Scaling Factor and Their Applications

    Dong-Qin Gu, Dongya Tao, Chao Zhang
    2024-12-11
    11940 1277 Pages:1018-1040
  • Divergence-Free Virtual Element Method for the Stokes Equations with Damping on Polygonal Meshes

    Yu Xiong, Yanping Chen, Jianwei Zhou, Qin Liang
    2024-02-26
    23668 2200 Pages:210-242
  • Conservative Three-Level Linearized Finite Difference Schemes for the Fisher Equation and Its Maximum Error Estimates

    Guang-Hua Gao, Biao Ge, Zhi-Zhong Sun
    2023-08-29
    28774 2570 Pages:634-667
  • A Posteriori Error Analysis of a $P_2$-CDG Space-Time Finite Element Method for the Wave Equation

    Yuling Guo, Jianguo Huang
    2022-07-19
    38843 2974 Pages:662-678
  • Tensor Bi-CR Methods for Solutions of High Order Tensor Equation Accompanied by Einstein Product

    Masoud Hajarian
    2021-09-10
    46579 2566 Pages:998-1016
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