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  • Two-Variable Jacobi Polynomials for Solving Some Fractional Partial Differential Equations

    Jafar Biazar, Khadijeh Sadri
    2021-07-01
    41913 4006 Pages:879-902
  • Symplectic Schemes for Telegraph Equations

    Yi Lu, Yao-Lin Jiang
    2018-08-22
    36204 2961 Pages:285-299
  • Using a Predictor-Corrector Scheme to Compute Navier-Stokes Equations in Three-Dimensional Spherical Coordinates

    Qian-Shun Chang
    2021-07-01
    33130 3702 Pages:307-317
  • The Convergence of the Spectral Scheme for Solving Two-Dimensional Vorticity Equations

    Ben-Yu Guo
    2021-07-01
    34408 3546 Pages:353-362
  • A Deep Learning Based Discontinuous Galerkin Method for Hyperbolic Equations with Discontinuous Solutions and Random Uncertainties

    Jingrun Chen, Shi Jin, Liyao Lyu
    2023-11-08
    29453 2555 Pages:1281-1304
  • Adaptive Stochastic Meshfree Methods for Optimal Control Problem Governed by Random Elliptic Equations

    Liang Ge, Tongjun Sun, Wanfang Shen, Wenbin Liu
    2025-07-12
    5893 453 Pages:813-839
  • Penalty-Factor-Free Stabilized Nonconforming Finite Elements for Solving Stationary Navier-Stokes Equations

    Linshuang He, Minfu Feng, Qiang Ma
    2022-10-06
    282 1 Pages:728-755
  • Reconstruction-Based a Posteriori Error Estimates for the L1 Method for Time Fractional Parabolic Problems

    Jiliang Cao, Aiguo Xiao, Wansheng Wang
    2024-11-19
    11551 1023 Pages:345-368
  • Approximating the Stationary Bellman Equation by Hierarchical Tensor Products

    Mathias Oster, Leon Sallandt, Reinhold Schneider
    2024-04-08
    18733 1880 Pages:638-661
  • A Reduced Order Schwarz Method for Nonlinear Multiscale Elliptic Equations Based on Two-Layer Neural Networks

    Shi Chen, Zhiyan Ding, Qin Li, Stephen J. Wright
    2024-01-16
    25663 2115 Pages:570-596
  • An Adaptive Finite Element Method for the Wave Scattering by a Periodic Chiral Structure

    Zhoufeng Wang, Peiqi Huang
    2021-07-01
    43217 4139 Pages:845-865
  • A Higher-Order Eulerian-Lagrangian Localized Adjoint Method for Two-Dimensional Unsteady Advection-Diffusion Problems

    Mohamed Al-Lawatia
    2012-06-02
    34137 3301 Pages:324-336
  • Numerical Solution of the Scattering Problem for Acoustic Waves by a Two-Sided Crack in 2-Dimensional Space

    J. J. Liu, P. A. Krutitskii & M. Sini
    2018-08-22
    34012 3624 Pages:141-166
  • Reflection/Transmission Characteristics of a Discontinuous Galerkin Method for Maxwell's Equations in Dispersive Inhomogeneous Media

    Xia Ji, Wei Cai & Pingwen Zhang
    2018-08-07
    32213 3632 Pages:347-364
  • A Fast Numerical Method for Integral Equations of the First Kind with Logarithmic Kernel Using Mesh Grading

    Qiyuan Chen, Tao Tang, Zhenhuan Teng
    2004-04-02
    33220 3545 Pages:287-298
  • A Two-Level Finite Element Galerkin Method for the Nonstationary Navier-Stokes Equations II: Time Discretization

    Yinnian He, Huanling Miao, Chunfeng Ren
    2004-02-02
    33563 3990 Pages:33-54
  • A Two-Level Finite Element Galerkin Method for the Nonstationary Navier-Stokes Equations I: Spatial Discretization

    Yinnian He
    2004-02-02
    33696 4095 Pages:21-32
  • AD Galerkin Analysis for Nonlinear Pseudo-Hyperbolic Equations

    Xia Cui
    2003-04-02
    32964 3505 Pages:125-134
  • Symplectic Schemes for Quasilinear Wave Equations of Klein-Gordon and Sine-Gordon Type

    Xiao-Wu Lu
    2001-10-02
    34151 3615 Pages:475-488
  • Space-Time Deep Neural Network Approximations for High-Dimensional Partial Differential Equations

    Fabian Hornung, Arnulf Jentzen, Diyora Salimova
    2025-07-12
    5910 439 Pages:918-975
  • One-Parameter Finite Difference Methods and Their Accelerated Schemes for Space-Fractional Sine-Gordon Equations with Distributed Delay

    Tao Sun, Chengjian Zhang, Haiwei Sun
    2024-04-08
    18870 1851 Pages:705-734
  • Unconditionally Optimal Error Analysis of the Second-Order BDF Finite Element Method for the Kuramoto-Tsuzuki Equation

    Yuan Li, Xuewei Cui
    2022-11-15
    301724 3189 Pages:211-223
  • A Fast Compact Difference Method for Two-Dimensional Nonlinear Space-Fractional Complex Ginzburg-Landau Equations

    Lu Zhang, Qifeng Zhang, Hai-Wei Sun
    2021-10-15
    41380 2940 Pages:708-732
  • A Survey of Open Cavity Scattering Problems

    Peijun Li
    2018-09-17
    42488 4606 Pages:1-16
  • Analysis of Sharp Superconvergence of Local Discontinuous Galerkin Method for One-Dimensional Linear Parabolic Equations

    Yang Yang, Chi-Wang Shu
    2018-08-22
    36777 2764 Pages:323-340
  • A New Direct Discontinuous Galerkin Method with Symmetric Structure for Nonlinear Diffusion Equations

    Chad Vidden & Jue Yan
    2021-07-01
    37526 3807 Pages:638-662
  • Three-Dimensional Numerical Localization of Imperfections Based on a Limit Model in Electric Field and a Limit Perturbation Model

    S.M. Mefire
    2009-08-02
    32089 3305 Pages:495-524
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