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

  DOI:10.4208/aamm.OA-2017-0243

  49444 3429 pp. 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

  DOI:10.4208/aamm.OA-2020-0277

  45318 3140 pp. 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

  DOI:10.4208/aamm.OA-2020-0223

  46260 3247 pp. 1064-1095

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

  Michael Yang, Z.J. Wang

  2018-08-10

  DOI:10.4208/aamm.09-m0913

  41080 4226 pp. 451-480

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

  Michael Yang, Z.J. Wang

  2018-08-10

  DOI:10.4208/aamm.09-m0913

  40999 4179 pp. 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

  DOI:10.4208/aamm.OA-2019-0124

  142377 5909 pp. 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

  DOI:10.4208/aamm.OA-2024-0023

  11463 818 pp. 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

  DOI:10.4208/aamm.2014.5.s4

  43292 4615 pp. 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

  DOI:10.4208/aamm.OA-2018-0184

  44751 3168 pp. 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

  DOI:10.4208/aamm.OA-2016-0151

  53184 5389 pp. 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

  DOI:10.4208/aamm.OA-2023-0173

  11582 918 pp. 732-757

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

  Qin Li, Sun Dong, Fengyuan Xu

  2021-11-17

  DOI:10.4208/aamm.OA-2020-0170

  49721 4141 pp. 1441-1484

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

  Shujiang Tang

  2024-05-14

  DOI:10.4208/aamm.OA-2022-0321

  25344 2419 pp. 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

  DOI:10.4208/aamm.2014.m642

  44541 4769 pp. 104-116

• 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

  DOI:10.4208/aamm.OA-2022-0022

  26821 2453 pp. 47-74

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

  Xiaohua Zhang, Shengfeng Wang

  2026-04-01

  DOI:10.4208/aamm.OA-2023-0261

  5091 270 pp. 482-518

• A Fourth Order WENO Scheme for Hyperbolic Conservation Laws

  Xiaohan Cheng, Jianhu Feng, Supei Zheng

  2020-06-01

  DOI:10.4208/aamm.OA-2019-0097

  52700 3608 pp. 992-1007

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

  Xiaogang Li, Guodong Li, Yongbin Ge

  2020-10-20

  DOI:10.4208/aamm.OA-2019-0155

  51294 4914 pp. 58-82

• 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

  DOI:10.4208/aamm.2014.m811

  42130 4759 pp. 353-385 Open Access

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

  Qin Li, Qilong Guo, Hanxin Zhang

  2021-07-01

  DOI:10.4208/aamm.2012.m5

  45141 4533 pp. 809-824

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

  Quan Zhou, Yabing Sun

  2021-11-17

  DOI:10.4208/aamm.OA-2020-0133

  50181 4076 pp. 1293-1317

• 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

  DOI:10.4208/aamm.OA-2022-0188

  38282 3211 pp. 1233-1255

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

  Fangfang Fu, Linghua Kong, Lan Wang

  2018-08-10

  DOI:10.4208/aamm.09-m0929

  41316 4213 pp. 699-710

• 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

  DOI:10.4208/aamm.OA-2019-0220

  48286 4107 pp. 1416-1437

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

  Yayun Fu, Hongliang Liu

  2025-05-12

  DOI:10.4208/aamm.OA-2023-0095

  8767 621 pp. 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

  DOI:10.4208/aamm.OA-2021-0153

  275934 3794 pp. 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

  DOI:10.4208/aamm.OA-2019-0256

  49744 3325 pp. 1196-1223