Search Results

• 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 Two-Level Factored Crank-Nicolson Method for Two-Dimensional Nonstationary Advection-Diffusion Equation with Time Dependent Dispersion Coefficients and Source Terms

  Eric Ngondiep

  2021-06-08

  DOI:10.4208/aamm.OA-2020-0206

  45904 3247 pp. 1005-1026

• Numerical Approximation of Hopf Bifurcation for Tumor-Immune System Competition Model with Two Delays

  Jing-Jun Zhao, Jing-Yu Xiao, Yang Xu

  2013-05-01

  DOI:10.4208/aamm.12-m1224

  41341 4313 pp. 146-162

• Buckling of 2D-FG Cylindrical Shells under Combined External Pressure and Axial Compression

  R. Mohammadzadeh, M. M. Najafizadeh, M. Nejati

  2013-05-01

  DOI:10.4208/aamm.2012.m39

  41749 4866 pp. 391-406

• Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk

  Wangbo Luo, Yanxiang Zhao

  2024-12-02

  DOI:10.4208/aamm.OA-2024-0161

  17683 1291 pp. 69-103

• Reconstructing the Absorption Function in a Quasi-Linear Sorption Dynamic Model via an Iterative Regularizing Algorithm

  Alexey Shcheglov, Jingzhi Li, Chao Wang, Alexander Ilin, Ye Zhang

  2023-12-21

  DOI:10.4208/aamm.OA-2023-0020

  30879 2902 pp. 237-252

• A Compact Difference Scheme for Time-Space Fractional Nonlinear Diffusion-Wave Equations with Initial Singularity

  Emadidin Gahalla Mohmed Elmahdi, Sadia Arshad, Jianfei Huang

  2023-12-21

  DOI:10.4208/aamm.OA-2022-0049

  26042 2568 pp. 146-163

• A Fully Discrete Method for Space-Time Fractional Parabolic Problems

  Zunlin Tan, Xiaoping Xie

  2026-08-01

  DOI:10.4208/aamm.OA-2024-0056

  1041 96 pp. 1210-1241

• A Fast Spatial Two-Grid Raviart-Thomas MFE Algorithm for the Nonlinear Time Fractional Diffusion Equations on Temporal Graded Mesh

  Zhichao Fang, Shubin Dong, Jie Zhao, Hong Li

  2026-08-01

  DOI:10.4208/aamm.OA-2023-0307

  1026 84 pp. 1155-1188

• ALM-PINN: An Adaptive Physical Informed Neural Network Optimized by Levenberg-Marquardt for Efficient Solution of Singular Perturbation Problems

  Yinghao Chen, Muzhou Hou, Jingying Hu, Yang Xiao, Jinyong Ying, Ting Zhang

  2025-09-29

  DOI:10.4208/aamm.OA-2024-0092

  7312 413 pp. 1841-1866

• Two Novel Space-Time Polynomial Particular Solutions Methods for the Time-Dependent Schrödinger Equation

  Yanhua Cao, Song Luo

  2025-09-29

  DOI:10.4208/aamm.OA-2023-0217

  7306 361 pp. 1789-1812

• An Absolutely Stabilized Virtual Element Method for the Incompressible Stokes Equations

  Xi Zhang, Minfu Feng

  2025-09-29

  DOI:10.4208/aamm.OA-2023-0281

  7259 415 pp. 1625-1653

• First-Order, Unconditionally Stable, Fully Decoupled Methods for the Penalty Ericksen-Leslie System with Variable Density

  Zhaowei Wang, Danxia Wang, Hongen Jia, Chenhui Zhang

  2026-04-01

  DOI:10.4208/amm.OA-2024-0065

  5051 200 pp. 666-699

• 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

• Fully Discrete Schemes with First- and Second-Order Temporal Accuracy for the Incompressible Magnetohydrodynamic Flow Based on the Generalized Scalar Auxiliary Variable Approach

  Huimin Ma, Pengzhan Huang

  2026-02-01

  DOI:10.4208/aamm.OA-2023-0325

  5380 468 pp. 109-133

• Inexact Iterative WYD Method for Eigenvalue Problems

  Fangyi Zheng, Jianyang Luo, Shuli Sun

  2026-02-01

  DOI:10.4208/aamm.OA-2023-0024

  5290 445 pp. 93-108

• The Fast Implementation of the ADI-CN Method for a Class of Two-Dimensional Riesz Space-Fractional Diffusion Equations

  Zhiyong Xing, Liping Wen

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0162

  44604 3234 pp. 942-956

• A Modified Weak Galerkin Method for Stokes Equations

  Li Zhang, Minfu Feng, Jian Zhang

  2019-06-24

  DOI:10.4208/aamm.OA-2018-0138

  43924 3265 pp. 890-910

• An Efficient Numerical Method for the Valuation of American Better-of Options Based on the Front-Fixing Transform and the Far Field Truncation

  Xiaowei Pang, Haiming Song, Xiaoshen Wang, Kai Zhang

  2020-06-01

  DOI:10.4208/aamm.OA-2019-0107

  50912 3471 pp. 902-919

• A Nonconforming Nitsche's Extended Finite Element Method for Elliptic Interface Problems

  Nan Wang, Jinru Chen

  2020-06-01

  DOI:10.4208/aamm.OA-2018-0252

  48300 3556 pp. 879-901

• 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

• Two-Grid Stabilized FEMs Based on Newton Type Linearization for the Steady-State Natural Convection Problem

  Yunbo Yang, Yaolin Jiang, Qiongxiang Kong

  2020-01-17

  DOI:10.4208/aamm.OA-2018-0156

  48804 3432 pp. 407-435

• A Mixed Formulation of Stabilized Nonconforming Finite Element Method for Linear Elasticity

  Bei Zhang, Jikun Zhao

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0048

  47384 4962 pp. 278-300

• 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

• A New Explicit Symplectic Fourier Pseudospectral Method for Klein-Gordon-Schrödinger Equation

  Yanhong Yang, Yongzhong Song, Haochen Li, Yushun Wang

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0038

  44321 4961 pp. 242-260

• 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 Boundary-Layer Receptivity Mechanism Excited by the Interaction Between Free-Stream Turbulence and the Three-Dimensional Localized Wall Roughness

  Luyu Shen, Changgen Lu

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0094

  43842 3065 pp. 735-751