Search Results

• A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions

  Jialing Wang, Tingchun Wang, Yushun Wang

  2023-02-24

  DOI:10.4208/aamm.OA-2021-0219

  38435 3264 pp. 786-813

• An Upwind-Block-Centered Multistep Difference Method for a Semiconductor Device and Numerical Analysis

  Yirang Yuan, Changfeng Li, Huailing Song

  2025-03-14

  DOI:10.4208/aamm.OA-2022-0207

  11559 902 pp. 706-731

• Error Estimate of a Second Order Accurate Scalar Auxiliary Variable (SAV) Numerical Method for the Epitaxial Thin Film Equation

  Qing Cheng, Cheng Wang

  2021-11-17

  DOI:10.4208/aamm.OA-2020-0297

  119097 6101 pp. 1318-1354

• 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

• Mechanisms for Stabilizing Thermal Lattice Boltzmann Equation and Their Applications for Convection-Diffusion Problem on Nonuniform Meshes

  Jinhua Lu

  2025-09-29

  DOI:10.4208/aamm.OA-2024-0128

  7272 386 pp. 1715-1741

• Electroelastic Analysis of Two-Dimensional Piezoelectric Structures by the Localized Method of Fundamental Solutions

  Yan Gu, Ji Lin, Chia-Ming Fan

  2023-04-11

  DOI:10.4208/aamm.OA-2021-0223

  39951 3398 pp. 880-900

• Numerical Analysis for the Model Governing Anomalous Dynamics in Expanding Media

  Maoping Wang, Weihua Deng

  2026-04-01

  DOI:10.4208/aamm.OA-2023-0282

  5088 241 pp. 724-755

• Analysis of Mathematics and Numerical Pattern Formation in Superdiffusive Fractional Multicomponent System

  Kolade M. Owolabi, Abdon Atangana

  2021-07-01

  DOI:10.4208/aamm.OA-2016-0115

  42954 3932 pp. 1438-1460

• 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

• The Sensitivity Analysis for the Flow Past Obstacles Problem with Respect to the Reynolds Number

  Kazufumi Ito, Zhilin Li, Zhonghua Qiao

  2012-04-01

  DOI:10.4208/aamm.11-m1110

  42868 4780 pp. 21-35

• Error Analysis of Two-Level Finite Element Method for the Nonlinear Conductivity Problem in Maxwell's System

  Peizhen Wang, Dandan Zhang, Wei Yang

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0049

  45098 3324 pp. 791-805

• Error Analysis of a New Euler Semi-Implicit Time-Discrete Scheme for the Incompressible MHD System with Variable Density

  Yuan Li, Xuewei Cui

  2024-12-02

  DOI:10.4208/aamm.OA-2023-0025

  14412 1298 pp. 263-294

• A Viscosity-Splitting Method for the Navier-Stokes/ Darcy Problem

  Yunxia Wang, Xuefeng Han, Zhiyong Si

  2020-03-06

  DOI:10.4208/aamm.OA-2019-0084

  48819 5111 pp. 251-277

• A High Accuracy Numerical Method and Error Analysis for Fourth Order Elliptic Eigenvalue Problems in Circular Domain

  Yixiao Ge, Ting Tan, Jing An

  2020-04-10

  DOI:10.4208/aamm.OA-2019-0068

  46385 3392 pp. 815-834

• Numerical Analysis of Crack-Tip Fields Using a Meshless Method in Linear Elastic Materials

  Zahra Sheikhi, Akbar Ghanbari, Mohammad Karkon, Soleyman Ghouhestani

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0058

  267600 3793 pp. 1509-1534

• Parametric Vibration Analysis of Pipes Conveying Fluid by Nonlinear Normal Modes and a Numerical Iterative Approach

  Feng Liang, Xiaodong Yang, Wei Zhang, Yingjing Qian, Roderick V. N. Melnik

  2019-01-04

  DOI:10.4208/aamm.OA-2018-0064

  47204 4970 pp. 38-52

• Numerical Solution of the Coupled System of Nonlinear Fractional Ordinary Differential Equations

  Xiaojun Zhou, Chuanju Xu

  2018-08-04

  DOI:10.4208/aamm.2015.m1054

  42367 3151 pp. 574-595

• 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

• 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

• An Isoparametric Finite Element Method for Reissner-Mindlin Plate Problem on Curved Domain

  Zhixin Liu, Minghui Song, Shicang Song

  2024-02-29

  DOI:10.4208/aamm.OA-2022-0206

  27099 2691 pp. 715-737

• Optimal Bicubic Finite Volume Methods on Quadrilateral Meshes

  Yanli Chen, Yonghai Li

  2018-05-05

  DOI:10.4208/aamm.2013.m401

  41962 3152 pp. 454-471

• Chebyshev-Lagrange Multipliers Technique for Vibration Analysis of Functionally Graded Material Beams Using Various Beam Theories

  Sacharuck Pornpeerakeat, Sakda Katawaethwarag

  2022-04-11

  DOI:10.4208/aamm.OA-2020-0301

  43974 3658 pp. 871-892

• Calculation of Four-Dimensional Unsteady Gas Flow via Different Quadrature Schemes and Runge-Kutta 4th Order Method

  M. Salah, M. S. Matbuly, O. Civalek, Ola Ragb

  2024-01-04

  DOI:10.4208/aamm.OA-2021-0373

  55530 3235 pp. 437-458

• Numerical Simulation for the Variable-Order Fractional Schrödinger Equation with the Quantum Riesz-Feller Derivative

  N. H. Sweilam, M. M. Abou Hasan

  2018-05-05

  DOI:10.4208/aamm.2015.m1312

  42503 2986 pp. 990-1011

• A Remark on the Courant-Friedrichs-Lewy Condition in Finite Difference Approach to PDE's

  Kosuke Abe, Nobuyuki Higashimori, Masayoshi Kubo, Hiroshi Fujiwara, Yuusuke Iso

  2014-06-01

  DOI:10.4208/aamm.2014.5.s6

  44136 4399 pp. 693-698

• Error Analysis of a Pressure Penalty Scheme for the Reformulated Ericksen-Leslie System with Variable Density

  Xin Zhang, Danxia Wang, Jianwen Zhang, Hongen Jia

  2024-05-14

  DOI:10.4208/aamm.OA-2023-0121

  25399 2494 pp. 952-979

• A Robust Three-Level Time Split High-Order Leapfrog/Crank-Nicolson Scheme for Two-Dimensional Sobolev and Regularized Long Wave Equations Arising in Fluid Mechanics

  Eric Ngondiep

  2025-03-14

  DOI:10.4208/aamm.OA-2022-0320

  11395 868 pp. 956-988