Search Results

• 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

• 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

• 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

• 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

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

  Dong Liu, Weihua Deng

  2025-05-12

  DOI:10.4208/aamm.OA-2023-0015

  8722 593 pp. 1204-1238

• 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

  DOI:10.4208/aamm.OA-2021-0106

  298177 4402 pp. 1276-1301

• 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

• Strong Converge Order of the General One-Step Method for Neutral Stochastic Delay Differential Equations under a Global Monotone Condition

  Chao Yue, Haoyong Zhuang, Longbin Zhao

  2025-09-29

  DOI:10.4208/aamm.OA-2024-0017

  7282 382 pp. 1654-1681

• 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

• A Finite Element Variational Multiscale Method for Stationary Incompressible Magnetohydrodynamics Equations

  Huayi Huang, Yunqing Huang, Qili Tang

  2023-06-21

  DOI:10.4208/aamm.OA-2022-0200

  38142 3174 pp. 1142-1165

• Improved Local Projection for the Generalized Stokes Problem

  Kamel Nafa

  2021-07-01

  DOI:10.4208/aamm.09-m09S07

  40870 4192 pp. 862-873

• 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

• 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

• 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

• 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

• 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

• Sinc-Multistep Schemes for Forward Backward Stochastic Differential Equations

  Xu Wang, Weidong Zhao

  2023-02-24

  DOI:10.4208/aamm.OA-2022-0073

  39188 3451 pp. 737-768

• 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

• The Oseen Type Finite Element Iterative Method for the Stationary Incompressible Magnetohydrodynamics

  Xiaojing Dong, Yinnian He

  2018-05-05

  DOI:10.4208/aamm.2015.m934

  42382 3067 pp. 775-794

• A Second-Order Three-Level Difference Scheme for a Magneto-Thermo-Elasticity Model

  Hai-Yan Cao, Zhi-Zhong Sun, Xuan Zhao

  2014-06-01

  DOI:10.4208/aamm.12-m1295

  42312 4304 pp. 281-298

• A Compact Difference Scheme for the Time-Fractional Partial Integro-Differential Equation with a Weakly Singular Kernel

  Jing Guo, Da Xu

  2020-07-24

  DOI:10.4208/aamm.OA-2019-0064

  50233 3344 pp. 1261-1279

• Numerical Schemes for Time-Space Fractional Vibration Equations

  Jingna Zhang, Temirkhan S. Aleroev, Yifa Tang, Jianfei Huang

  2021-04-13

  DOI:10.4208/aamm.OA-2020-0066

  45774 3234 pp. 806-826

• 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

• 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

• 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

• Finite Element $θ$-Schemes for the Acoustic Wave Equation

  Samir Karaa

  2018-08-10

  DOI:10.4208/aamm.10-m1018

  42058 4265 pp. 181-203

• 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