Search Results

• High-Order Finite Difference Schemes Based on Symmetric Conservative Metric Method: Decomposition, Geometric Meaning and Connection with Finite Volume Schemes

  Xiaogang Deng, Huajun Zhu, Yaobing Min, Huayong Liu, Meiliang Mao, Guangxue Wang

  2020-01-17

  49137 3346 Pages:436-479

• A Combination of High-Order Compact Finite Difference Schemes and a Splitting Method that Preserves Accuracy for the Multi-Dimensional Burgers' Equation

  Shengfeng Wang, Xiaohua Zhang, Julian Koellermeier, Daobin Ji

  2021-06-08

  45031 3067 Pages:1261-1292

• A Class of Robust Low Dissipation Nested Multi-Resolution WENO Schemes for Solving Hyperbolic Conservation Laws

  Zhenming Wang, Jun Zhu, Yuchen Yang, Linlin Tian, Ning Zhao

  2021-06-08

  45960 3170 Pages:1064-1095

• A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids

  Michael Yang, Z.J. Wang

  2018-08-10

  96 66 Pages:451-480

• A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids

  Michael Yang, Z.J. Wang

  2018-08-10

  40764 4056 Pages:451-480

• High-Order Accurate Entropy Stable Finite Difference Schemes for One- and Two-Dimensional Special Relativistic Hydrodynamics

  Junming Duan, Huazhong Tang

  2020-03-06

  141982 5685 Pages:1-29

• Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part II. High-Order Conjugate Heat Transfer

  Shu-Jie Li, Lili Ju

  2025-03-14

  11078 722 Pages:758-777

• A High-Accuracy Finite Difference Scheme for Solving Reaction-Convection-Diffusion Problems with a Small Diffusivity

  Po-Wen Hsieh, Suh-Yuh Yang, Cheng-Shu You

  2014-06-01

  43070 4465 Pages:637-662

• A New Robust High-Order Weighted Essentially Non-Oscillatory Scheme for Solving Well-Balanced Shallow Water Equations

  Zhenming Wang, Jun Zhu, Ning Zhao

  2019-06-24

  44516 3089 Pages:911-941

• An Efficient High Order Well-Balanced Finite Difference WENO Scheme for the Blood Flow Model

  Shouguo Qian, Gang Li, Xianqing Lv, Fengjing Shao

  2018-09-17

  52940 5247 Pages:22-40

• The Spatial-Temporal Fourth-Order Conservative Characteristic Runge-Kutta Finite Difference Method for Convection-Dominated Diffusion Equation

  Dan Qin, Kai Fu, Dong Liang

  2025-03-14

  11206 814 Pages:732-757

• WENO Interpolation-Based and Upwind-Biased Free-Stream Preserving Nonlinear Schemes

  Qin Li, Sun Dong, Fengyuan Xu

  2021-11-17

  49385 4068 Pages:1441-1484

• High-Resolution and High-Precision Weighted Essentially Non-Oscillatory Scheme for Compressible Flow Simulations

  Shujiang Tang

  2024-05-14

  25085 2340 Pages:980-1008

• A High-Order Discontinuous Galerkin Method for the Two-Dimensional Time-Domain Maxwell's Equations on Curved Mesh

  Hongqiang Lu, Yida Xu, Yukun Gao, Wanglong Qin, Qiang Sun

  2018-05-05

  44347 4626 Pages:104-116

• A Modified Hybrid High-Order Essentially Non-Oscillatory Compact Difference Scheme for Nonlinear Degenerate Parabolic Equations

  Xiaohua Zhang, Shengfeng Wang

  2025-10-29

  4500 129 Pages:482-518

• A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows

  Adyllyson H. Nascimento, Eugênio S. Rosa

  2023-12-21

  26519 2291 Pages:47-74

• A New Fifth-Order Finite Difference WENO Scheme for Dam-Break Simulations

  Xiaogang Li, Guodong Li, Yongbin Ge

  2020-10-20

  50981 4699 Pages:58-82

• A Fourth Order WENO Scheme for Hyperbolic Conservation Laws

  Xiaohan Cheng, Jianhu Feng, Supei Zheng

  2020-06-01

  52399 3492 Pages:992-1007

• Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

  Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao

  2018-05-05

  41886 4574 Pages:353-385 Open-access

• Explicit High Order One-Step Methods for Decoupled Forward Backward Stochastic Differential Equations

  Quan Zhou, Yabing Sun

  2021-11-17

  49878 4002 Pages:1293-1317

• Analyses of the Dispersion Overshoot and Inverse Dissipation of the High-Order Finite Difference Scheme

  Qin Li, Qilong Guo, Hanxin Zhang

  2021-07-01

  44930 4414 Pages:809-824

• A High-Order Well-Balanced Discontinuous Galerkin Method Based on the Hydrostatic Reconstruction for the Ripa Model

  Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao, Qiang Niu

  2021-07-01

  48037 4043 Pages:1416-1437

• Symplectic Euler Method for Nonlinear High Order Schrödinger Equation with a Trapped Term

  Fangfang Fu, Linghua Kong, Lan Wang

  2018-08-10

  41056 4093 Pages:699-710

• Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach

  Yuezheng Gong, Qi Hong, Chunwu Wang, Yushun Wang

  2023-06-21

  37945 3118 Pages:1233-1255

• Structure-Preserving Exponential Schemes with High Accuracy for the 2D/3D Nonlinear Schrödinger Type Equation

  Yayun Fu, Hongliang Liu

  2025-05-12

  8359 515 Pages:1088-1110

• An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations

  Bingyin Zhang, Hongfei Fu, Xueting Liang, Jun Liu, Jiansong Zhang

  2022-08-08

  275646 3715 Pages:1400-1432

• An Upwind Mixed Finite Element Method on Changing Meshes for Positive Semi-Definite Oil-Water Displacement of Darcy-Forchheimer Flow in Porous Media

  Yirang Yuan, Huailing Song, Changfeng Li, Tongjun Sun

  2020-07-24

  49484 3268 Pages:1196-1223