Search Results

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

  Xiaohua Zhang, Shengfeng Wang

  2025-10-29

  https://doi.org/10.4208/aamm.OA-2023-0261

  4500 129 pp. 482-518

• Improved Symmetry Property of High Order Weighted Essentially Non-Oscillatory Finite Difference Schemes for Hyperbolic Conservation Laws

  Wai Sun Don, Peng Li, Kwun Ying Wong, Zhen Gao

  2021-07-01

  https://doi.org/10.4208/aamm.OA-2017-0292

  56294 4549 pp. 1418-1439

• 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

  https://doi.org/10.4208/aamm.OA-2018-0184

  44516 3089 pp. 911-941

• A New Fifth-Order Trigonometric WENO Scheme for Hyperbolic Conservation Laws and Highly Oscillatory Problems

  Yanmeng Wang, Jun Zhu, Lianglin Xiong

  2019-06-24

  https://doi.org/10.4208/aamm.OA-2018-0221

  45841 3286 pp. 1114-1135

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

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

  2020-06-01

  https://doi.org/10.4208/aamm.OA-2018-0264

  50131 3372 pp. 972-991

• The Formulation of Finite Difference Hermite RBF-WENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique

  Rooholah Abedian

  2025-05-12

  https://doi.org/10.4208/aamm.OA-2023-0021

  8325 494 pp. 1275-1309

• The Formulation of Finite Difference RBFWENO Schemes for Hyperbolic Conservation Laws: An Alternative Technique

  Rooholah Abedian, Mehdi Dehghan

  2023-04-11

  https://doi.org/10.4208/aamm.OA-2021-0241

  38309 3187 pp. 1023-1055

• A Splitting Method for the Degasperis-Procesi Equation Using an Optimized WENO Scheme and the Fourier Pseudospectral Method

  Yunrui Guo, Wenjing Yang, Hong Zhang, Ji Wang, Songhe Song

  2019-01-04

  https://doi.org/10.4208/aamm.OA-2018-0054

  47416 5050 pp. 53-71

• 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

  https://doi.org/10.4208/aamm.12-12S03

  43243 4292 pp. 719-736

• Improved Sixth-Order WENO Finite Difference Schemes for Hyperbolic Conservation Laws

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

  2025-09-29

  https://doi.org/10.4208/aamm.OA-2024-0037

  5129 302 pp. 1591-1624

• A Fourth Order WENO Scheme for Hyperbolic Conservation Laws

  Xiaohan Cheng, Jianhu Feng, Supei Zheng

  2020-06-01

  https://doi.org/10.4208/aamm.OA-2019-0097

  52399 3492 pp. 992-1007

• A New Well-Balanced Finite Volume CWENO Scheme for Shallow Water Equations over Bottom Topography

  Wei Guo, Ziming Chen, Shouguo Qian, Gang Li, Qiang Niu

  2023-10-11

  https://doi.org/10.4208/aamm.OA-2022-0131

  32079 2815 pp. 1515-1539

• Impacts of Down-Up Hill Segment on the Threshold of Shock Formation of Ring Road Vehicular Flow

  Zejing Hu, M. N. Smirnova, N. N. Smirnov, Yongliang Zhang, Zuojin Zhu

  2023-06-21

  https://doi.org/10.4208/aamm.OA-2021-0316

  36315 2910 pp. 1315-1334

• A Scale-Invariant Fifth Order WCNS Scheme for Hyperbolic Conservation Laws

  Zixuan Zhang, Yidao Dong, Huaibao Zhang, Shichao Zheng, Xiaogang Deng

  2023-06-21

  https://doi.org/10.4208/aamm.OA-2022-0196

  37911 3019 pp. 1256-1289

• Numerical Simulation of Deflagration to Detonation Transition in a Straight Duct: Effects of Energy Release and Detonation Stability

  Hua-Shu Dou, Zongmin Hu, Boo Cheong Khoo, Zonglin Jiang

  2021-07-01

  https://doi.org/10.4208/aamm.2013.m159

  43619 4506 pp. 718-731

• LWDG Method for a Multi-Class Traffic Flow Model on an Inhomogeneous Highway

  Tiantian Sun, Jianxian Qiu

  2018-08-10

  40536 4006 pp. 438-450

• 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

  https://doi.org/10.4208/aamm.OA-2021-0095

  43391 3533 pp. 1059-1086

• Direct Numerical Simulations of Self-Sustained Oscillations in Two-Dimensional Open Cavity for Subsonic and Supersonic Flow

  Yong Luo, Hu Li, Shuaibin Han, Shuhai Zhang

  2021-04-13

  https://doi.org/10.4208/aamm.OA-2020-0232

  44530 3137 pp. 942-965

• High-Order Well-Balanced Finite Volume WENO Schemes with Conservative Variables Decomposition for Shallow Water Equations

  Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao

  2021-04-13

  https://doi.org/10.4208/aamm.OA-2020-0138

  44910 3214 pp. 827-849

• 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

  https://doi.org/10.4208/aamm.OA-2020-0223

  45960 3170 pp. 1064-1095

• New Finite Volume Mapped Unequal-Sized WENO Scheme for Hyperbolic Conservation Laws

  Yan Zhang, Jun Zhu

  2024-01-04

  https://doi.org/10.4208/aamm.OA-2022-0184

  26800 2430 pp. 459-492

• A Vertex-Centered Arbitrary Lagrangian-Eulerian Finite Volume Method with Sub-Cells for Two-Dimensional Compressible Flow

  Xiaolong Zhao, Xijun Yu, Zupeng Jia, Shijun Zou, Meilan Qiu

  2023-12-21

  https://doi.org/10.4208/aamm.OA-2022-0085

  26831 2415 pp. 181-207

• A Hybrid Reconstruction Method Based upon the Characteristic Fields Decomposition of Compressible Euler Equations

  Ke Zhang, Yiqing Shen

  2025-09-29

  https://doi.org/10.4208/aamm.OA-2024-0024

  2298 44 pp. 1761-1788

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

  Junming Duan, Huazhong Tang

  2020-03-06

  https://doi.org/10.4208/aamm.OA-2019-0124

  141982 5685 pp. 1-29

• 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

  https://doi.org/10.4208/aamm.OA-2016-0151

  52940 5247 pp. 22-40

• High Order Well-Balanced Finite Difference AWENO Scheme for Ripa and Pollutant Transport Systems

  Yue Liu, Zhen Gao, Peng Li, Yaguang Gu

  2024-12-31

  https://doi.org/10.4208/aamm.OA-2022-0144

  12913 1204 pp. 554-579

• A New Finite Difference Well-Balanced Mapped Unequal-Sized WENO Scheme for Solving Shallow Water Equations

  Liang Li, Zhenming Wang, Jun Zhu

  2024-07-22

  https://doi.org/10.4208/aamm.OA-2022-0228

  25910 2462 pp. 1176-1196