Search Results

• 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

• A Node-Based Smoothed Finite Element Method with Linear Gradient Fields for Elastic Obstacle Scattering Problems

  Junhong Yue, Yu Wang, Yan Li, Ming Li

  2023-10-11

  DOI:10.4208/aamm.OA-2021-0270

  31547 3057 pp. 1562-1601

• 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

  DOI:10.4208/aamm.OA-2023-0067

  33750 2547 pp. 1009-1038

• A Symplectic Conservative Perturbation Series Expansion Method for Linear Hamiltonian Systems with Perturbations and Its Applications

  Zhiping Qiu, Nan Jiang

  2021-11-17

  DOI:10.4208/aamm.OA-2020-0282

  48585 4072 pp. 1535-1557

• 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

• Modified One-Leg $\theta$-Methods for Linear Neutral Pantograph Equations with Multiple Delay Terms

  Zhixiang Jin, Tingting Qin, Chengjian Zhang

  2026-04-01

  DOI:10.4208/aamm.OA-2025-0002

  5069 196 pp. 519-536

• Convergence and Stability of an Explicit Method for Autonomous Time-Changed Stochastic Differential Equations with Super-Linear Coefficients

  Xiaotong Li, Juan Liao, Wei Liu, Zhuo Xing

  2023-02-24

  DOI:10.4208/aamm.OA-2021-0335

  40369 3436 pp. 651-683

• A First-Order Linear Energy Stable Scheme for the Cahn–Hilliard Equation with Dynamic Boundary Conditions Under the Effect of Hyperbolic Relaxation

  Minghui Yu, Rui Chen

  2026-02-06

  DOI:10.4208/aamm.OA-2025-0180

  1063 106 pp. 1616-1648

• A Two-Level Method for Pressure Projection Stabilized P1 Nonconforming Approximation of the Semi-Linear Elliptic Equations

  Sufang Zhang, Hongxia Yan, Hongen Jia

  2018-05-05

  DOI:10.4208/aamm.2014.m842

  40949 3186 pp. 386-398

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

  Liyong Zhu

  2018-05-05

  DOI:10.4208/aamm.2015.m1045

  43540 4790 pp. 157-172

• 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

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

  Chao Lu, Qinghua Li, Tong Zhang

  2026-04-01

  DOI:10.4208/aamm.OA-2023-0135

  5255 260 pp. 601-641

• Stability of Atomic Simulations with Matching Boundary Conditions

  Shaoqiang Tang, Songsong Ji

  2014-06-01

  DOI:10.4208/aamm.2013.m360

  42788 4380 pp. 539-551

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

  C. Y. Wang

  2012-04-01

  DOI:10.4208/aamm.10-m11175

  41937 4635 pp. 483-495

• 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

• Acoustic Mode in Plane Free Mixing Layers

  Wubing Yang, Zhen Gao, Qing Shen, Qiang Wang

  2019-04-16

  DOI:10.4208/aamm.2018.s07

  48281 3280 pp. 630-639

• 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

• The Crank-Nicolson/Explicit Scheme for the Natural Convection Equations with Nonsmooth Initial Data

  Jinting Yang, Hongxia Liang, Tong Zhang

  2021-07-01

  DOI:10.4208/aamm.OA-2019-0206

  47799 4166 pp. 1481-1519

• 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

• Unconditional Stability and Fourth-Order Convergence of a Two-Step Time Split Explicit/Implicit Scheme for Two-Dimensional Nonlinear Unsteady Convection-Diffusion-Reaction Equation

  Eric Ngondiep, Ali H. Tedjani

  2024-11-01

  DOI:10.4208/aamm.OA-2023-0040

  15707 1453 pp. 1381-1409

• Convergence Analysis of a BDF Finite Element Method for the Resistive Magnetohydrodynamic Equations

  Lina Ma, Cheng Wang, Zeyu Xia

  2024-12-31

  DOI:10.4208/aamm.OA-2023-0118

  13391 1255 pp. 633-662

• 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

• Symplectic Euler Method for Nonlinear High Order Schrödinger Equation with a Trapped Term

  Fangfang Fu, Linghua Kong, Lan Wang

  2018-08-10

  DOI:10.4208/aamm.09-m0929

  41316 4213 pp. 699-710

• Simulations of Two-Step Maruyama Methods for Nonlinear Stochastic Delay Differential Equations

  Wanrong Cao, Zhongqiang Zhang

  2021-07-01

  DOI:10.4208/aamm.12-12S11

  42924 4306 pp. 821-832

• Semi-Discrete and Fully Discrete Mixed Finite Element Methods for Maxwell Viscoelastic Model of Wave Propagation

  Hao Yuan, Xiaoping Xie

  2022-01-24

  DOI:10.4208/aamm.OA-2021-0014

  42162 3417 pp. 344-364

• A Second Order Accurate in Time, Energy Stable Finite Element Scheme for the Flory-Huggins-Cahn-Hilliard Equation

  Maoqin Yuan, Wenbin Chen, Cheng Wang, Steven M. Wise, Zhengru Zhang

  2022-08-08

  DOI:10.4208/aamm.OA-2021-0331

  270396 3806 pp. 1477-1508

• 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

  DOI:10.4208/aamm.OA-2020-0293

  49820 4261 pp. 101-124