Search Results

• 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

• 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

• 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

• 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

  DOI:10.4208/aamm.OA-2024-0037

  7393 499 pp. 1591-1624

• An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations

  Bingyin Zhang, Hongfei Fu, Xueting Liang, Jun Liu, Jiansong Zhang

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0153

  275934 3794 pp. 1400-1432

• A Fifth Order Alternative Mapped WENO Scheme for Nonlinear Hyperbolic Conservation Laws

  Uttam Singh Rajput, Krishna Mohan Singh

  2021-11-18

  DOI:10.4208/aamm.OA-2020-0320

  50154 4623 pp. 275-298

• 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 High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation

  Hu Li, Jin Huang

  2018-05-05

  DOI:10.4208/aamm.2015.m1287

  42158 2980 pp. 393-406

• 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 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

• An Improved WENO-Z+ Scheme

  Ruo Li, Wei Zhong

  2024-12-02

  DOI:10.4208/aamm.OA-2022-0308

  17998 1344 pp. 31-68

• An Upwind Mixed Volume Element-Fractional Step Method on a Changing Mesh for Compressible Contamination Treatment from Nuclear Waste

  Changfeng Li, Yirang Yuan, Huailing Song

  2021-07-01

  DOI:10.4208/aamm.OA-2017-0332

  46623 3937 pp. 1384-1417

• A Direct Discontinuous Galerkin Method with Interface Correction for the Compressible Navier-Stokes Equations on Unstructured Grids

  Jian Cheng, Huiqiang Yue, Shengjiao Yu, Tiegang Liu

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0060

  47613 5427 pp. 1-21

• The LMAPS Using Polynomial Basis Functions for Near-Singular Problems

  Zhengzhi Li, Daniel Watson, Ming Li, Thir Dangal

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0288

  45406 3242 pp. 1090-1102

• A Characteristics-Mixed Volume Element Method for the Displacement Problem of Enhanced Oil Recovery

  Yirang Yuan, Aijie Cheng, Changfeng Li, Tongjun Sun, Qing Yang

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0205

  45637 3298 pp. 1084-1113

• A Coiflet Wavelet Homotopy Technique for Nonlinear PDEs: Application to the Extreme Bending of Orthotropic Plate with Forced Boundary Constraints

  Qiang Yu, Shuaimin Wang, Junfeng Xiao, Hang Xu

  2023-10-11

  DOI:10.4208/aamm.OA-2022-0214

  31109 2811 pp. 1473-1514

• Fourth Order Compact Boundary Value Method for Option Pricing with Jumps

  Spike T. Lee, Hai-Wei Sun

  2021-07-01

  DOI:10.4208/aamm.09-m09S06

  41044 4152 pp. 845-861

• Numerical Simulation of a Multi-Frequency Resistivity Logging-While-Drilling Tool Using a Highly Accurate and Adaptive Higher-Order Finite Element Method

  Zhonghua Ma, Dejun Liu, Hui Li, Xinsheng Gao

  2012-04-01

  DOI:10.4208/aamm.10-m11158

  42020 4653 pp. 439-453

• A Highly Efficient Reduced-Order Extrapolating Model for the 2D Viscoelastic Wave Equation

  Fei Teng, Zhendong Luo

  2020-12-18

  DOI:10.4208/aamm.OA-2019-0351

  43593 3299 pp. 355-377

• 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

• A Numerical Investigation of Richtmyer-Meshkov Instability in Spherical Geometry

  Jinxin Wu, Han Liu, Zuoli Xiao

  2019-04-16

  DOI:10.4208/aamm.2018.s03

  49739 3255 pp. 583-597

• 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

• Modified Two-Grid Algorithm for Nonlinear Power-Law Conductivity in Maxwell's Problems with High Accuracy

  Changhui Yao, Yanfei Li

  2020-12-18

  DOI:10.4208/aamm.OA-2019-0371

  43564 3212 pp. 481-502

• 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

• A Reduced Basis Method for the Nonlinear Poisson-Boltzmann Equation

  Lijie Ji, Yanlai Chen, Zhenli Xu

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0188

  46623 3279 pp. 1200-1218

• Two-Relaxation-Time Regularized Lattice Boltzmann Model for Navier-Stokes Equations

  Yuan Yu, Zuojian Qin, Siwei Chen, Shi Shu, Haizhuan Yuan

  2024-12-31

  DOI:10.4208/aamm.OA-2024-0203

  13709 1344 pp. 489-516