Search Results

• 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

• Stability of Regularized Lattice Boltzmann Model for Convection-Diffusion Equations

  Yuanhang Huang, Xinmeng Chen, Zhenhua Chai, Baochang Shi

  2025-07-19

  DOI:10.4208/aamm.OA-2022-0284

  8153 601 pp. 1370-1394

• Stability Analysis of a Fully Coupled Implicit Scheme for Inviscid Chemical Non-Equilibrium Flows

  Yu Wang, Jinsheng Cai, Kun Qu

  2021-07-01

  DOI:10.4208/aamm.2015.m1043

  43926 3994 pp. 953-970

• 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

• 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

• 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

• 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

• 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

• Exploring Acoustic and Sound Wave Propagation Simulations: A Novel Time Advancement Method for Homogeneous and Heterogeneous Media

  Shashi Kumar, Bangaru Ramcharan, Vivek S. Yadav, Ankit Singh, Yogesh G. Bhumkar, Manoj K. Rajpoot

  2024-12-02

  DOI:10.4208/aamm.OA-2023-0195

  14649 1266 pp. 315-349

• 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

• Nonlinear Stability and B-convergence of Additive Runge-Kutta Methods for Nonlinear Stiff Problems

  Chao Yue, Aiguo Xiao, Hongliang Liu

  2018-05-05

  DOI:10.4208/aamm.2013.m230

  41274 3145 pp. 472-495

• Finite-Time Stability and Instability of Nonlinear Impulsive Systems

  Guihua Zhao, Hui Liang

  2022-10-24

  DOI:10.4208/aamm.OA-2021-0381

  48592 4552 pp. 49-68

• Nonconforming Mixed FEM Analysis for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation with Time-Space Coupled Derivative

  Fangfang Cao, Yanmin Zhao, Fenling Wang, Yanhua Shi, Changhui Yao

  2022-12-13

  DOI:10.4208/aamm.OA-2021-0263

  40942 3320 pp. 322-358

• 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

• Stability Analysis and Order Improvement for Time Domain Differential Quadrature Method

  Fangzong Wang, Xiaobing Liao, Xiong Xie

  2018-05-05

  DOI:10.4208/aamm.2014.m794

  43827 4623 pp. 128-144

• 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

• 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

• 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

• A Simplified Lattice Boltzmann Method Without Evolution of Distribution Function

  Z. Chen, C. Shu, Y. Wang, L. M. Yang, D. Tan

  2018-05-05

  DOI:10.4208/aamm.OA-2016-0029

  44981 5508 pp. 1-22

• 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

• Numerical Method for the Time Fractional Fokker-Planck Equation

  Xue-Nian Cao, Jiang-Li Fu, Hu Huang

  2021-07-01

  DOI:10.4208/aamm.12-12S13

  43009 4348 pp. 848-863

• Prediction of Transition Locations in Regions of the Minor Axis of Hypersonic Elliptic Cones Using the BiGlobal-$e^N$ Method

  Lei Zhao, Wenqiang Zhou, Xinliang Li, Shaolong Zhang, Yongming Zhang

  2024-05-14

  DOI:10.4208/aamm.OA-2022-0183

  26369 2722 pp. 805-832

• Unconditional Long Time $\text{H}^1$-Stability of a Velocity-Vorticity-Temperature Scheme for the $2\text{D}$-Boussinesq System

  Mine Akbas

  2020-07-24

  DOI:10.4208/aamm.OA-2019-0122

  48674 3198 pp. 1166-1195

• A Modified Characteristics Finite Element Method for the Electroneutral Micro-Fluids

  Zhiyong Si, Piaopiao Dong, Yunxia Wang

  2022-01-24

  DOI:10.4208/aamm.OA-2020-0327

  41335 3387 pp. 386-414

• Unconditional Stability and Error Estimates of the Modified Characteristics FEM for the Time-Dependent Viscoelastic Oldroyd Flows

  Yang Yang, Yanfang Lei, Zhiyong Si

  2020-12-18

  DOI:10.4208/aamm.OA-2018-0169

  44222 3459 pp. 311-332

• 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