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  • Numerical Boundary Conditions for the Fast Sweeping High Order WENO Methods for Solving the Eikonal Equation

    Ling Huang, Chi-Wang Shu & Mengping Zhang
    2018-08-07
    32352 3687 Pages:336-346
  • High Order Numerical Methods to Two Dimensional Heaviside Function Integrals

    Xin Wen
    2018-08-22
    34753 3796 Pages:305-323
  • Exponential Fourier Collocation Methods for Solving First-Order Differential Equations

    Bin Wang, Xinyuan Wu, Fanwei Meng, Yonglei Fang
    2021-07-01
    41005 3738 Pages:711-736
  • 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
  • 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
  • Anti-Diffusive Finite Difference WENO Methods for Shallow Water with Transport of Pollutant

    Zhengfu Xu & Chi-Wang Shu
    2006-06-02
    33461 3556 Pages:239-251
  • High-Order I-Stable Centered Difference Schemes for Viscous Compressible Flows

    Weizhu Bao & Shi Jin
    2003-02-02
    34318 4202 Pages:101-112
  • Mixed Interior Penalty Discontinuous Galerkin Methods for One-Dimensional Fully Nonlinear Second Order Elliptic and Parabolic Equations

    Xiaobing Feng & Thomas Lewis
    2018-08-22
    36756 4816 Pages:107-135 Open-access
  • Spectral and Spectral Element Methods for High Order Problems with Mixed Boundary Conditions

    Benyu Guo, Tao Sun & Chao Zhang
    2018-08-22
    37071 4190 Pages:392-411 Open-access
  • Simplified Explicit Exponential Runge-Kutta Methods Without Order Reduction

    Begoña Cano, María Jesús Moreta
    2025-10-30
    4051 198 Pages:1604-1620
  • 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 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 High Order Scheme for Fractional Differential Equations with the Caputo-Hadamard Derivative

    Xingyang Ye, Junying Cao, Chuanju Xu
    2024-11-21
    16029 1427 Pages:615-640
  • 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
  • Well-Conditioned Frames for High Order Finite Element Methods

    Kaibo Hu, Ragnar Winther
    2021-04-07
    41985 3271 Pages:333-357
  • High-Order Symplectic and Symmetric Composition Methods for Multi-Frequency and Multi-Dimensional Oscillatory Hamiltonian Systems

    Kai Liu, Xinyuan Wu
    2018-08-22
    36809 2792 Pages:356-378
  • High-Order Local Absorbing Boundary Conditions for Heat Equation in Unbounded Domains

    Xiaonan Wu & Jiwei Zhang
    2018-08-22
    33789 3932 Pages:74-90
  • Error Analysis of Stabilized Convex Splitting ${\rm BDF}k$ Method for the Molecular Beam Epitaxial Model with Slope Selection

    Juan Li, Xuping Wang
    2025-11-20
    1341 73 Pages:165-190
  • Compact Finite Difference Scheme for Some Sobolev Type Equations with Dirichlet Boundary Condition

    Lavanya V Salian, Rathan Samala, Rakesh Kumar
    2025-11-19
    48 16
  • High Order Weighted Essentially Non-Oscillation Schemes for One-Dimensional Detonation Wave Simulations

    Zhen Gao, Wai Sun Don & Zhiqiu Li
    2021-07-01
    35090 3518 Pages:623-638
  • High Order Approximation of One-Way Wave Equations

    Guan-Quan Zhang
    1985-03-01
    33651 3774 Pages:90-96
  • 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
  • Hermite WENO Schemes with Strong Stability Preserving Multi-Step Temporal Discretization Methods for Conservation Laws

    Xiaofeng Cai, Jun Zhu, Jianxian Qiu
    2018-08-22
    39205 4268 Pages:52-73
  • High Resolution Schemes for Conservation Laws and Convection-Diffusion Equations with Varying Time and Space Grids

    Hua-Zhong Tang & Gerald Warnecke
    2006-04-02
    31867 3355 Pages:121-140
  • A First-Order Numerical Scheme for Forward-Backward Stochastic Differential Equations in Bounded Domains

    Jie Yang, Guannan Zhang, Weidong Zhao
    2019-02-12
    39385 2883 Pages:237-258
  • A Stopping Criterion for Higher-Order Sweeping Schemes for Static Hamilton-Jacobi Equations

    Susana Serna & Jianliang Qian
    2018-08-22
    33556 3650 Pages:552-568
  • 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
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