Search Results

• 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

  46261 3249 pp. 1064-1095

• Corrected Linear-Galerkin Schemes to Preserve Second-Order Accuracy for Cell-Centered Unstructured Finite Volume Methods

  Lingfa Kong, Yidao Dong, Wei Liu

  2024-07-22

  DOI:10.4208/aamm.OA-2023-0113

  31755 2455 pp. 1056-1103

• 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

  49449 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

  45319 3140 pp. 1261-1292

• 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

  11583 918 pp. 732-757

• 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

  16753 1558 pp. 1297-1327

• 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

  52701 3609 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

  51296 4915 pp. 58-82

• 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

  5095 272 pp. 482-518

• 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

  13657 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

• Fully Discrete Schemes with First- and Second-Order Temporal Accuracy for the Incompressible Magnetohydrodynamic Flow Based on the Generalized Scalar Auxiliary Variable Approach

  Huimin Ma, Pengzhan Huang

  2026-02-01

  DOI:10.4208/aamm.OA-2023-0325

  5381 468 pp. 109-133

• 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

• 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

  41082 4227 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

  41000 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

  142380 5909 pp. 1-29

• 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

  1034 83 pp. 1189-1209

• 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

  43648 3621 pp. 1059-1086

• Accurate Static and Dynamic Analysis Using Unstructured Meshes for Complicated Geometry Problems

  Guangze Tang, Hong Yang, She Li, Xin Hu, Xiangyang Cui

  2025-09-29

  DOI:10.4208/aamm.OA-2023-0208

  7257 379 pp. 1813-1840

• A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity

  Emadidin Gahalla Mohmed Elmahdi, Sadia Arshad, Jianfei Huang

  2023-12-21

  DOI:10.4208/aamm.OA-2022-0049

  26043 2568 pp. 146-163

• 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

  44752 3169 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

  53185 5391 pp. 22-40

• 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

  11464 818 pp. 758-777

• Solving Fourth-Order PDEs Using the LMAPS

  Cheng Deng, Hui Zheng, Yan Shi, C. S. Chen

  2020-06-01

  DOI:10.4208/aamm.OA-2019-0216

  50895 3404 pp. 920-939

• Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions

  Jia-Le Li, Wai-Sun Don, Cai-Feng Wang, Bao-Shan Wang

  2025-03-14

  DOI:10.4208/aamm.OA-2023-0306

  11685 907 pp. 804-839

• 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

  50183 4076 pp. 1293-1317

• 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

  43293 4615 pp. 637-662