Search Results

• 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

• A Multi-Dimensional Shock-Capturing Limiter for High-Order Least Square-Based Finite Difference-Finite Volume Method on Unstructured Grids

  Yangyang Liu, Liming Yang, Chang Shu, Huangwei Zhang

  2020-12-21

  DOI:10.4208/aamm.OA-2020-0255

  47078 3352 pp. 671-700

• 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 Fifth-Order Low-Dissipative Conservative Upwind Compact Scheme Using Centered Stencil

  Conghai Wu, Sujuan Yang, Ning Zhao

  2021-07-01

  DOI:10.4208/aamm.2013.m-s3

  43085 4410 pp. 830-848

• 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

• 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

• 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

• A Diffusively Corrected Multiclass Lighthill-Whitham-Richards Traffic Model with Anticipation Lengths and Reaction Times

  Raimund Bürger, Pep Mulet, Luis M. Villada

  2013-05-01

  DOI:10.4208/aamm.2013.m135

  42832 4446 pp. 728-758

• 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 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

• 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

• 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

• 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

• 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

• 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

• 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

• An Improved WENO-Z+ Scheme

  Ruo Li, Wei Zhong

  2024-12-02

  DOI:10.4208/aamm.OA-2022-0308

  17998 1344 pp. 31-68

• Numerical Optimization and Noise Analysis of High-Tip-Speed Wind Turbine

  Long Wang, Guoping Chen, Tongguang Wang, Jiufa Cao

  2021-07-01

  DOI:10.4208/aamm.OA-2016-0171

  43035 3876 pp. 1461-1484

• A High-Accuracy Finite Difference Scheme for Solving Reaction-Convection-Diffusion Problems with a Small Diffusivity

  Po-Wen Hsieh, Suh-Yuh Yang, Cheng-Shu You

  2014-06-01

  DOI:10.4208/aamm.2014.5.s4

  43292 4615 pp. 637-662

• A Ciarlet-Raviart Mixed Finite Element Method for Optimal Control Problems Governed by a Fourth Order Bi-Wave Equation

  Hongbo Guan, Wen Liu, Yong Yang

  2026-06-01

  DOI:10.4208/aamm.OA-2023-0229

  4320 114 pp. 1037-1057

• 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 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 Maximum-Principle-Preserving Third Order Finite Volume SWENO Scheme on Unstructured Triangular Meshes

  Yunrui Guo, Lingyan Tang, Hong Zhang, Songhe Song

  2018-09-17

  DOI:10.4208/aamm.OA-2016-0196

  47335 6298 pp. 114-137

• 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