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• An Efficient ADER Discontinuous Galerkin Scheme for Directly Solving Hamilton-Jacobi Equation

  Junming Duan, Huazhong Tang

  2020-02-06

  41168 4321 Pages:58-83

• On New Strategies to Control the Accuracy of WENO Algorithm Close to Discontinuities II: Cell Averages and Multiresolution

  Sergio Amat, Juan Ruiz, Chi-Wang Shu

  2020-05-19

  39461 3024 Pages:661-682

• A General High-Order Multi-Domain Hybrid DG/WENO-FD Method for Hyperbolic Conservation Laws

  Jian Cheng, Kun Wang, Tiegang Liu

  2018-08-22

  38783 4741 Pages:30-48

• From Energy Improvement to Accuracy Enhancement: Improvement of Plate Bending Elements by the Combined Hybrid Method

  Xiaoping Xie

  2004-08-02

  32819 3209 Pages:581-592

• High-Order Compact ADI Schemes for 2D Semi-Linear Reaction-Diffusion Equations with Piecewise Continuous Argument in Reaction Term

  Bo Hou, Chengjian Zhang

  2026-02-15

  2215 128 Pages:191-212

• 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

  18985 1895 Pages:705-734

• Semi-Implicit Spectral Deferred Correction Methods Based on Second-Order Time Integration Schemes for Nonlinear PDEs

  Ruihan Guo, Yan Xu

  2023-12-01

  31479 2997 Pages:111-133

• Second Order Unconditionally Stable and Convergent Linearized Scheme for a Fluid-Fluid Interaction Model

  Wei Li, Pengzhan Huang, Yinnian He

  2022-12-01

  295792 3538 Pages:72-93

• Quadrature Methods for Highly Oscillatory Singular Integrals

  Jing Gao, Marissa Condon, Arieh Iserles, Benjamin Gilvey, Jon Trevelyan

  2020-11-04

  46684 3108 Pages:227-260

• A High-Order Accuracy Method for Solving the Fractional Diffusion Equations

  Maohua Ran, Chengjian Zhang

  2020-02-20

  43535 2935 Pages:239-253

• High Order Local Discontinuous Galerkin Methods for the Allen-Cahn Equation: Analysis and Simulation

  Ruihan Guo, Liangyue Ji, Yan Xu

  2018-08-22

  41159 3011 Pages:135-158

• High Order Numerical Methods to Two Dimensional Heaviside Function Integrals

  Xin Wen

  2018-08-22

  34859 3828 Pages:305-323

• Two-Grid Discretization Schemes of the Nonconforming FEM for Eigenvalue Problems

  Yidu Yang

  2021-07-01

  34813 3751 Pages:748-763

• A Monotone Compact Implicit Scheme for Nonlinear Reaction-Diffusion Equations

  Yuanming Wang & Benyu Guo

  2018-08-07

  33699 3629 Pages:123-148

• An Iterative Hybridized Mixed Finite Element Method for Elliptic Interface Problems with Strongly Discontinuous Coefficients

  Dao-Qi Yang, Jennifer Zhao

  2003-06-02

  32440 3343 Pages:257-276

• AD Galerkin Analysis for Nonlinear Pseudo-Hyperbolic Equations

  Xia Cui

  2003-04-02

  33053 3532 Pages:125-134

• High Accuracy Numerical Method of Thin-Film Problems in Micromagnetics

  Zhongyi Huang

  2003-02-02

  33921 3722 Pages:33-40

• Extrapolation of Finite Element Approximation in a Rectangular Domain

  Chuan-Miao Chen, Qun Lin

  1989-07-01

  33877 3577 Pages:227-233

• Nonlinear Galerkin Method and Crank-Nicolson Method for Viscous Incompressible Flow

  Yin-Nian He, Dong-Sheng Li, Kai-Tai Li

  1999-04-02

  33087 3454 Pages:139-158

• Uniform Superconvergence Analysis of a Two-Grid Mixed Finite Element Method for the Time-Dependent Bi-Wave Problem Modeling $D$-Wave Superconductors

  Yanmi Wu, Dongyang Shi

  2024-01-16

  25531 2112 Pages:415-431

• A Trust-Region Method for Nonsmooth Nonconvex Optimization

  Ziang Chen, Andre Milzarek, Zaiwen Wen

  2023-04-25

  38929 3421 Pages:683-716

• Analysis on a Numerical Scheme with Second-Order Time Accuracy for Nonlinear Diffusion Equations

  Xia Cui, Guangwei Yuan, Fei Zhao

  2021-10-15

  40611 3073 Pages:777-800

• Solution of Optimal Transportation Problems Using a Multigrid Linear Programming Approach

  Adam M. Oberman, Yuanlong Ruan

  2021-07-01

  42069 4214 Pages:933-951

• High Order Finite Difference/Spectral Methods to a Water Wave Model with Nonlocal Viscosity

  Mohammad Tanzil Hasan, Chuanju Xu

  2020-05-19

  39464 3041 Pages:580-605

• Three-Dimensional Gravity-Magnetic Cross-Gradient Joint Inversion Based on Structural Coupling and a Fast Gradient Method

  Yuanping Zhang, Yanfei Wang

  2021-07-01

  44338 4151 Pages:758-777

• Block-Centered Finite Difference Methods for Non-Fickian Flow in Porous Media

  Xiaoli Li, Hongxing Rui

  2018-09-17

  40737 2921 Pages:492-516

• Hermite WENO Schemes with Strong Stability Preserving Multi-Step Temporal Discretization Methods for Conservation Laws

  Xiaofeng Cai, Jun Zhu, Jianxian Qiu

  2018-08-22

  39328 4325 Pages:52-73