Search Results

• 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 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 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

• High-Order Mesh Generation for Discontinuous Galerkin Methods Based on Elastic Deformation

  Hongqiang Lu, Kai Cao, Lechao Bian, Yizhao Wu

  2018-05-05

  DOI:10.4208/aamm.2014.m618

  41900 2983 pp. 693-702

• 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

• An Energy-Preserving Scheme for the Coupled Gross-Pitaevskii Equations

  Lan Wang, Wenjun Cai, Yushun Wang

  2020-10-20

  DOI:10.4208/aamm.OA-2019-0308

  49921 4648 pp. 203-231

• A Truly Boundary-Only Meshfree Method Applied to Kirchhoff Plate Bending Problems

  Zhuojia Fu, Wen Chen

  2018-08-10

  41619 4119 pp. 341-352

• A Note on the Generating Function Method

  Yonghui Bo, Wenjun Cai, Yushun Wang

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0286

  43454 3086 pp. 982-1004

• A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography

  Nouh Izem, Mohammed Seaid

  2022-02-25

  DOI:10.4208/aamm.OA-2020-0364

  47635 3331 pp. 725-758

• 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

• The Discontinuous Galerkin Method by Patch Reconstruction for Helmholtz Problems

  Di Li, Min Liu, Xiliang Lu, Jerry Zhijian Yang

  2022-10-24

  DOI:10.4208/aamm.OA-2022-0008

  45215 4042 pp. 30-48

• Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System

  Seakweng Vong, Zhibo Wang

  2014-06-01

  DOI:10.4208/aamm.2014.4.s1

  44461 4686 pp. 419-435

• A High-Order NVD/TVD-Based Polynomial Upwind Scheme for the Modified Burgers' Equations

  Wei Gao, Yang Liu, Bin Cao, Hong Li

  2012-04-01

  DOI:10.4208/aamm.10-m1139

  41450 4558 pp. 617-635

• High-Order Unconditionally Energy-Stable Decoupled Method for Phase Field Modeling of Pitting Corrosion with Adaptive Implementation

  Futuan Li, Hongwei Li, Tao Tang, Jiang Yang

  2026-01-30

  DOI:10.4208/aamm.OA-2025-0232

  1142 235 pp. 1355-1388

• Two $P_4$ Nonconforming Finite Elements for the Biharmonic Equation on Rectangular Meshes

  Youai Li, Shangyou Zhang

  2026-08-01

  DOI:10.4208/aamm.OA-2025-0165

  796 95 pp. 1142-1154

• 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

• High-Order Three-Scale Computational Method for Thermoelastic Behavior Analysis of Axisymmetric Composite Structures with Multiple Spatial Scales

  Hao Dong, Junzhi Cui, Yufeng Nie, Zihao Yang, Zhiqiang Yang

  2020-01-17

  DOI:10.4208/aamm.OA-2019-0071

  47056 3224 pp. 599-642

• 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

• 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

• 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

  DOI:10.4208/aamm.OA-2022-0144

  13296 1310 pp. 554-579

• 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

• A Compact Eulerian Interface–Capturing Algorithm for Compressible Multimaterial Elastic–Plastic Flows with Mie–Grüneisen Equation of State

  Xiang Li, Dong-Jun Ma, Nan-Sheng Liu, Pei Wang

  2022-12-13

  DOI:10.4208/aamm.OA-2021-0019

  38677 2981 pp. 485-521

• 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

• An Extrapolation Cascadic Multigrid Method for Elliptic Problems on Reentrant Domains

  Kejia Pan, Dongdong He, Chuanmiao Chen

  2021-07-01

  DOI:10.4208/aamm.OA-2016-0019

  43106 3904 pp. 1347-1363

• A Well-Conditioned Spectral Integration Method for High-Order Differential Equations with Variable Coefficients

  Yurun Wang, Huiling Su, Fei Liu

  2024-11-01

  DOI:10.4208/aamm.OA-2023-0225

  15533 1471 pp. 1549-1568

• High Order Efficient Algorithm for Computation of MHD Flow Ensembles

  Muhammad Mohebujjaman

  2022-06-13

  DOI:10.4208/aamm.OA-2021-0154

  43377 3537 pp. 1111-1137