Search Results

• 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

• 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

• 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

• 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

• 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 I-Stable Centered Difference Schemes for Viscous Compressible Flows

  Weizhu Bao & Shi Jin

  2003-02-02

  34318 4202 Pages:101-112

• 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

• 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

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

  Junming Duan, Huazhong Tang

  2020-02-06

  41033 4261 Pages:58-83

• 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

• 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

• 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-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

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

  Maohua Ran, Chengjian Zhang

  2020-02-20

  43421 2914 Pages:239-253

• 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

• A High Order Adaptive Finite Element Method for Solving Nonlinear Hyperbolic Conservation Laws

  Zhengfu Xu, Jinchao Xu, & Chi-Wang Shu

  2018-08-22

  34525 3524 Pages:491-500

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

  Yuanming Wang & Benyu Guo

  2018-08-07

  33608 3611 Pages:123-148

• 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

• High Order Compact Finite Difference Schemes for the Helmholtz Equation with Discontinuous Coefficients

  Xiufang Feng, Zhilin Li, & Zhonghua Qiao

  2018-08-22

  36211 4271 Pages:324-340 Open-access

• 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