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

• High Order Deep Domain Decomposition Method for Solving High Frequency Interface Problems

  Zhipeng Chang, Ke Li, Xiufen Zou, Xueshuang Xiang

  2023-10-11

  DOI:10.4208/aamm.OA-2022-0006

  30775 2819 pp. 1602-1630

• 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

• An Adaptive High-Order Surface Finite Element Method for Polymeric Self-Consistent Field Theory on General Curved Surfaces

  Kai Jiang, Xin Wang, Jianggang Liu, Huayi Wei

  2024-12-02

  DOI:10.4208/aamm.OA-2023-0061

  14758 1288 pp. 123-147

• 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 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

• 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

• A Study of Fifth-Order WENO Reconstruction for Genuinely Two-Dimensional Convection-Pressure Flux Split Riemann Solver

  Shide Tan, Haizhuan Yuan, Lijun Hu

  2024-11-01

  DOI:10.4208/aamm.OA-2022-0299

  16752 1558 pp. 1297-1327

• Inverse Scattering Transform and Soliton Solutions for the Hirota Equation with $N$ Distinct Arbitrary Order Poles

  Xiaofan Zhang, Shoufu Tian, Jinjie Yang

  2022-04-11

  DOI:10.4208/aamm.OA-2020-0369

  45355 3681 pp. 893-913

• High-Order Numerical Approximation and Error Estimation for Fourth-Order Equation in Complex Cylindrical Domain

  Xuenan Zhao, Jing An, Juan Zhang

  2026-08-01

  DOI:10.4208/aamm.OA-2024-0276

  1033 83 pp. 1189-1209

• A Robust Three-Level Time Split High-Order Leapfrog/Crank-Nicolson Scheme for Two-Dimensional Sobolev and Regularized Long Wave Equations Arising in Fluid Mechanics

  Eric Ngondiep

  2025-03-14

  DOI:10.4208/aamm.OA-2022-0320

  11395 868 pp. 956-988

• 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

• Assessing the Performance of a Three Dimensional Hybrid Central-WENO Finite Difference Scheme with Computation of a Sonic Injector in Supersonic Cross Flow

  Wai-Sun Don, Antonio de Gregorio, Jean-Piero Suarez, Gustaaf B. Jacobs

  2021-07-01

  DOI:10.4208/aamm.12-12S03

  43489 4425 pp. 719-736

• 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

• 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

• Improvements to Enhance Robustness of Third-Order Scale-Independent WENO-Z Schemes

  Qin Li, Pan Yan, Xiao Huang, Yihui Weng, Yancheng You, Yi Duan

  2024-12-31

  DOI:10.4208/aamm.OA-2023-0244

  13654 1337 pp. 373-406

• A Time Second-Order Mass-Conserved Implicit-Explicit Domain Decomposition Scheme for Solving the Diffusion Equations

  Zhongguo Zhou, Dong Liang

  2018-05-05

  DOI:10.4208/aamm.2015.m1049

  42363 3101 pp. 795-817

• Numerical Solution of the Coupled System of Nonlinear Fractional Ordinary Differential Equations

  Xiaojun Zhou, Chuanju Xu

  2018-08-04

  DOI:10.4208/aamm.2015.m1054

  42367 3151 pp. 574-595

• A Straightforward $hp$-Adaptivity Strategy for Shock-Capturing with High-Order Discontinuous Galerkin Methods

  Hongqiang Lu, Qiang Sun

  2014-06-01

  DOI:10.4208/aamm.2013.m-s1

  44756 5038 pp. 135-144

• 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

• 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

• A New High-Order Conservative Patched Grid Strategy Based on Collapsed Edge

  Yidao Dong, Xiaogang Deng, Yaming Chen, Xu Dan, Guangxue Wang

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0163

  44572 3073 pp. 611-633

• High Order Hybrid Weighted Compact Nonlinear Schemes for Hyperbolic Conservation Laws

  Peng Li, Xiqiang Zhao, Zhen Gao, Bao-Shan Wang

  2020-06-01

  DOI:10.4208/aamm.OA-2018-0264

  50407 3447 pp. 972-991

• 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 New Fifth-Order Finite Volume Central WENO Scheme for Hyperbolic Conservation Laws on Staggered Meshes

  Shengzhu Cui, Zhanjing Tao, Jun Zhu

  2022-06-13

  DOI:10.4208/aamm.OA-2021-0095

  43647 3621 pp. 1059-1086