Search Results

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

  Jinhua Lu

  2025-09-29

  https://doi.org/10.4208/aamm.OA-2024-0128

  5015 251 pp. 1715-1741

• 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

  https://doi.org/10.4208/aamm.OA-2020-0297

  118609 5935 pp. 1318-1354

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

  Yuanhang Huang, Xinmeng Chen, Zhenhua Chai, Baochang Shi

  2025-07-19

  https://doi.org/10.4208/aamm.OA-2022-0284

  7486 479 pp. 1370-1394

• An Energy Stable SPH Method for Incompressible Fluid Flow

  Xingyu Zhu, Shuyu Sun, Jisheng Kou

  2022-06-13

  https://doi.org/10.4208/aamm.OA-2021-0231

  43885 3482 pp. 1201-1224

• Stability Analysis for Modelling 3D Poroelastic Wave Propagation by High-Order Staggered-Grid Schemes

  Wensheng Zhang, Atish Kumar Joardar, Fei Wu

  2024-07-22

  https://doi.org/10.4208/aamm.OA-2023-0063

  26221 2349 pp. 1121-1151

• Decoupled and Unconditionally Energy Stable Numerical Schemes for the Thermally Coupled Incompressible Magnetohydrodynamics Flow

  Chao Lu, Qinghua Li, Tong Zhang

  2025-10-04

  https://doi.org/10.4208/aamm.OA-2023-0135

  4619 135 pp. 601-641

• Stability of Symmetric Solitary Wave Solutions of a Forced Korteweg-de Vries Equation and the Polynomial Chaos

  Hongjoong Kim, Kyoung-Sook Moon

  2021-07-01

  https://doi.org/10.4208/aamm.12-12S12

  42966 4362 pp. 833-847

• Improving the Stability of the Multiple-Relaxation-Time Lattice Boltzmann Method by a Viscosity Counteracting Approach

  Chunze Zhang, Yongguang Cheng, Shan Huang, Jiayang Wu

  2018-05-05

  https://doi.org/10.4208/aamm.2014.m512

  44026 4679 pp. 37-51

• A Linear Doubly Stabilized Crank-Nicolson Scheme for the Allen–Cahn Equation with a General Mobility

  Dianming Hou, Lili Ju, Zhonghua Qiao

  2024-07-22

  https://doi.org/10.4208/aamm.OA-2023-0067

  33439 2463 pp. 1009-1038

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

  Xiaojun Zhou, Chuanju Xu

  2018-08-04

  https://doi.org/10.4208/aamm.2015.m1054

  42161 3083 pp. 574-595

• Finite Element Scheme with H2N2 Interpolation for Multi-Term Time-Fractional Mixed Sub-Diffusion and Diffusion-Wave Equation

  Huiqin Zhang, Yanping Chen, Jianwei Zhou, Yang Wang

  2024-07-22

  https://doi.org/10.4208/aamm.OA-2023-0117

  26270 2390 pp. 1197-1222

• Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk

  Wangbo Luo, Yanxiang Zhao

  2024-12-02

  https://doi.org/10.4208/aamm.OA-2024-0161

  17311 1077 pp. 69-103

• Numerical Study of Double Diffusive Convection in Partially Heated Vertical Open Ended Cylindrical Annulus

  Mani Sankar

  2021-07-01

  https://doi.org/10.4208/aamm.09-m0997

  40641 4093 pp. 763-783

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

  Zhiyong Si, Piaopiao Dong, Yunxia Wang

  2022-01-24

  https://doi.org/10.4208/aamm.OA-2020-0327

  41055 3299 pp. 386-414

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

  Yunxia Wang, Xuefeng Han, Zhiyong Si

  2020-03-06

  https://doi.org/10.4208/aamm.OA-2019-0084

  48557 4939 pp. 251-277

• Numerical Simulation of Deflagration to Detonation Transition in a Straight Duct: Effects of Energy Release and Detonation Stability

  Hua-Shu Dou, Zongmin Hu, Boo Cheong Khoo, Zonglin Jiang

  2021-07-01

  https://doi.org/10.4208/aamm.2013.m159

  43619 4506 pp. 718-731

• Local Discontinuous Galerkin Method for the Backward Feynman-Kac Equation

  Dong Liu, Weihua Deng

  2025-05-12

  https://doi.org/10.4208/aamm.OA-2023-0015

  8299 493 pp. 1204-1238

• A New Conservative Allen-Cahn Type Ohta-Kawaski Phase-Field Model for Diblock Copolymers and Its Numerical Approximations

  Shuang Geng, Tongmao Li, Qiongwei Ye, Xiaofeng Yang

  2021-11-18

  https://doi.org/10.4208/aamm.OA-2020-0293

  49505 4107 pp. 101-124

• The Eulerian-Lagrangian Method with Accurate Numerical Integration

  Kun Li

  2018-08-10

  https://doi.org/10.4208/aamm.11-m1192

  42175 4202 pp. 156-174

• Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay

  Shuiping Yang, Yubin Liu, Hongyu Liu, Chao Wang

  2021-11-18

  https://doi.org/10.4208/aamm.OA-2020-0387

  50221 4246 pp. 56-78

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

  Chao Yue, Aiguo Xiao, Hongliang Liu

  2018-05-05

  https://doi.org/10.4208/aamm.2013.m230

  41051 3082 pp. 472-495

• Influence of Gravity and Taper on the Vibration of a Standing Column

  C. Y. Wang

  2012-04-01

  https://doi.org/10.4208/aamm.10-m11175

  41710 4475 pp. 483-495

• Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations

  Hongliang Liu, Yameng Zhang, Haodong Li, Shoufu Li

  2022-08-08

  https://doi.org/10.4208/aamm.OA-2021-0106

  297911 4316 pp. 1276-1301

• 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

  https://doi.org/10.4208/aamm.OA-2023-0195

  14173 1058 pp. 315-349

• Efficient and Stable Exponential Runge-Kutta Methods for Parabolic Equations

  Liyong Zhu

  2018-05-05

  https://doi.org/10.4208/aamm.2015.m1045

  43341 4664 pp. 157-172

• 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

  https://doi.org/10.4208/aamm.2015.m1312

  42263 2900 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

  https://doi.org/10.4208/aamm.2014.5.s6

  43914 4242 pp. 693-698