Search Results

• 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-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 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

• Sinc-Multistep Schemes for Forward Backward Stochastic Differential Equations

  Xu Wang, Weidong Zhao

  2023-02-24

  DOI:10.4208/aamm.OA-2022-0073

  39188 3451 pp. 737-768

• 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

• 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

• 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

  DOI:10.4208/aamm.OA-2020-0138

  45161 3271 pp. 827-849

• Stability Analysis for Modelling 3D Poroelastic Wave Propagation by High-Order Staggered-Grid Schemes

  Wensheng Zhang, Atish Kumar Joardar, Fei Wu

  2024-07-22

  DOI:10.4208/aamm.OA-2023-0063

  26573 2436 pp. 1121-1151

• 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

• 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

• 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

• Effect of Nonuniform Grids on High-Order Finite Difference Method

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

  2018-05-05

  DOI:10.4208/aamm.2016.m1477

  41041 2928 pp. 1012-1034

• 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

• 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 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

• 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-Order Local Absorbing Boundary Conditions for Fractional Evolution Equations on Unbounded Strips

  Haixia Dong, Miao Wang, Dongsheng Yin, Qian Zhang

  2020-04-10

  DOI:10.4208/aamm.OA-2019-0115

  46753 3354 pp. 664-693

• 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

• 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

• Vortex Capturing Using PNS-WENO Schemes in Uniform and Non Uniform Mesh Formulations

  Demian De Feo, Ning Qin, Trevor J. Birch

  2019-02-13

  DOI:10.4208/aamm.09-m0917

  41583 4543 pp. 399-429

• 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

• 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 Numerical Method to Study Three-Dimensional Hydrodynamics in a Natural River

  Luyu Shen, Changgen Lu, Weiguo Wu, Shifeng Xue

  2018-03-30

  DOI:10.4208/aamm.2014.m605

  42296 3155 pp. 180-195

• 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

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

  Yan Zhang, Jun Zhu

  2024-01-04

  DOI:10.4208/aamm.OA-2022-0184

  27093 2497 pp. 459-492

• 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

  DOI:10.4208/aamm.OA-2017-0292

  56581 4623 pp. 1418-1439

• 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