Search Results

• 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

  11582 918 pp. 732-757

• 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

• 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

• 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

• 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

• 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

• Large Eddy Simulation of Flow over a Cylinder Using High-Order Spectral Difference Method

  Abrar H. Mohammad, Z. J. Wang, Chunlei Liang

  2019-02-13

  DOI:10.4208/aamm.09-m0972

  40433 3999 pp. 451-466

• 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 Fourth Order WENO Scheme for Hyperbolic Conservation Laws

  Xiaohan Cheng, Jianhu Feng, Supei Zheng

  2020-06-01

  DOI:10.4208/aamm.OA-2019-0097

  52700 3608 pp. 992-1007

• A Novel Temporal Two-Grid Compact Finite Difference Scheme for the Viscous Burgers’ Equation

  Xiangyi Peng, Wenlin Qiu, Jiangxing Wang, Lina Ma

  2024-11-01

  DOI:10.4208/aamm.OA-2022-0302

  16176 1523 pp. 1358-1380

• 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

  11682 907 pp. 804-839

• 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

  51294 4914 pp. 58-82

• High-Efficiency Explicit Multistep Schemes for Coupled Second-Order FBSDEs

  Bo Li, Weidong Zhao

  2026-02-01

  DOI:10.4208/aamm.OA-2024-0273

  4868 457 pp. 322-347

• Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law II: Applications on Complex Curvilinear Meshes

  Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0079

  44367 3173 pp. 285-311

• 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 Fast High Order Iterative Solver for the Electromagnetic Scattering by Open Cavities Filled with the Inhomogeneous Media

  Meiling Zhao

  2013-05-01

  DOI:10.4208/aamm.12-m12119

  41803 4394 pp. 235-257

• 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

• Osher Flux with Entropy Fix for Two-Dimensional Euler Equations

  Huajun Zhu, Xiaogang Deng, Meiliang Mao, Huayong Liu, Guohua Tu

  2018-05-05

  DOI:10.4208/aamm.2014.m469

  41534 2934 pp. 670-692

• A New Higher Order Shear Deformation Model for Static Behavior of Functionally Graded Plates

  Tahar Hassaine Daouadji, Abdelouahed Tounsi, El Abbes Adda Bedia

  2013-05-01

  DOI:10.4208/aamm.11-m11176

  42967 4930 pp. 351-364

• 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

• Noise Prediction in Subsonic Flow Using Seventh-Order Dissipative Compact Scheme on Curvilinear Mesh

  Meiliang Mao, Yi Jiang, Xiaogang Deng, Huayong Liu

  2018-05-05

  DOI:10.4208/aamm.2014.m459

  41650 3159 pp. 236-256

• 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

• 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

• 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

• 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

• 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

• 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