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  • Stability and Error Estimates of Ultra-Weak Local Discontinuous Galerkin Method with Spectral Deferred Correction Time-Marching for PDEs with High Order Spatial Derivatives

    Lingling Zhou, Wenhua Chen, Ruihan Guo
    2025-11-20
    1336 63 Pages:286-306
  • High Order Numerical Methods to Two Dimensional Heaviside Function Integrals

    Xin Wen
    2018-08-22
    34753 3796 Pages:305-323
  • A General High-Order Multi-Domain Hybrid DG/WENO-FD Method for Hyperbolic Conservation Laws

    Jian Cheng, Kun Wang, Tiegang Liu
    2018-08-22
    38693 4678 Pages:30-48
  • Semi-Implicit Spectral Deferred Correction Methods Based on Second-Order Time Integration Schemes for Nonlinear PDEs

    Ruihan Guo, Yan Xu
    2023-12-01
    31302 2846 Pages:111-133
  • High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

    Ruihan Guo, Liangyue Ji, Yan Xu
    2018-08-22
    41007 2977 Pages:135-158
  • High Order Finite Difference/Spectral Methods to a Water Wave Model with Nonlocal Viscosity

    Mohammad Tanzil Hasan, Chuanju Xu
    2020-05-19
    39338 3005 Pages:580-605
  • A New Stabilized Finite Element Method for Solving Transient Navier-Stokes Equations with High Reynolds Number

    Chunmei Xie, Minfu Feng
    2020-03-24
    39841 2953 Pages:395-416
  • Legendre-Gauss-Radau Spectral Collocation Method for Nonlinear Second-Order Initial Value Problems with Applications to Wave Equations

    Lina Wang, Qian Tong, Lijun Yi, Mingzhu Zhang
    2023-12-01
    29167 2642 Pages:217-247
  • Robust High Order Convergence of an Overlapping Schwarz Method for Singularly Perturbed Semilinear Reaction-Diffusion Problems

    S. Chandra Sekhara Rao & Sunil Kumar
    2018-08-22
    37522 3808 Pages:509-521
  • Two Iteration Methods for Solving Linear Algebraic Systems with Low Order Matrix $A$ and High Order Matrix $B:Y=(A \otimes B)Y+\Phi$

    Shuang-Suo Zhao, Hua Luo Zhang, Guo-Feng Zhang
    2000-08-02
    77 56 Pages:419-430
  • A High-Order Accuracy Method for Solving the Fractional Diffusion Equations

    Maohua Ran, Chengjian Zhang
    2020-02-20
    43421 2914 Pages:239-253
  • High-Order Compact ADI Schemes for 2D Semi-Linear Reaction-Diffusion Equations with Piecewise Continuous Argument in Reaction Term

    Bo Hou, Chengjian Zhang
    2025-11-20
    1325 49 Pages:191-212
  • 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 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
  • High Order Stable Multi-Domain Hybrid RKDG and WENO-FD Methods

    Fan Zhang, Jian Cheng, Tiegang Liu
    2018-09-17
    39628 2849 Pages:517-541
  • 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
  • High Order Finite Difference Hermite WENO Fast Sweeping Methods for Static Hamilton-Jacobi Equations

    Yupeng Ren, Yulong Xing, Jianxian Qiu
    2023-11-08
    27438 2818 Pages:1064-1092
  • A Stabilizer Free Weak Galerkin Finite Element Method for Brinkman Equations

    Haoning Dang, Qilong Zhai, Ran Zhang, Hui Peng
    2024-11-18
    13958 1259 Pages:1-17
  • Fourth-Order Compact Schemes for Helmholtz Equations with Piecewise Wave Numbers in the Polar Coordinates

    Xiaolu Su, Xiufang Feng, Zhilin Li
    2018-08-22
    36086 2798 Pages:499-510
  • Finite Element Method with Superconvergence for Nonlinear Hamiltonian Systems

    Chuanmiao Chen, Qiong Tang & Shufang Hu
    2018-08-22
    33973 3639 Pages:167-184
  • On the Quasi-Random Choice Method for the Liouville Equation of Geometrical Optics with Discontinuous Wave Speed

    Jingwei Hu & Shi Jin
    2021-07-01
    37364 4162 Pages:573-591
  • Multisymplectic Composition Integrators of High Order

    Jing-Bo Chen, Meng-Zhao Qin
    2021-08-05
    32461 3311 Pages:647-656
  • The Shifted-Inverse Power Weak Galerkin Method for Eigenvalue Problems

    Qilong Zhai, Xiaozhe Hu, Ran Zhang
    2020-05-19
    39857 3144 Pages:606-623
  • Stability for Imposing Absorbing Boundary Conditions in the Finite Element Simulation of Acoustic Wave Propagation

    Wensheng Zhang, Eric T. Chung & Chaowei Wang
    2018-08-22
    38310 5730 Pages:1-20
  • A P-Version Two Level Spline Method for Semi-Linear Elliptic Equations

    Xinping Shao, Danfu Han & Xianliang Hu
    2018-08-22
    33760 3479 Pages:544-554
  • Finite Element Methods for Sobolev Equations

    Liu Tang, Shu-Hua Zhang, J. R. Cannon, Yan-Ping Lin, Ming Rao
    2021-07-01
    32692 3752 Pages:627-642
  • A Mixed Virtual Element Method for the Boussinesq Problem on Polygonal meshes

    Gabriel N. Gatica, Mauricio Munar, Filánder A. Sequeira
    2021-04-07
    42802 3434 Pages:392-427
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