Search Results

• 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

• 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

• High-Order Unconditionally Energy-Stable Decoupled Method for Phase Field Modeling of Pitting Corrosion with Adaptive Implementation

  Futuan Li, Hongwei Li, Tao Tang, Jiang Yang

  2026-01-30

  DOI:10.4208/aamm.OA-2025-0232

  1142 235 pp. 1355-1388

• 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

• 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

• An Inverse Problem with the Final Overdetermination for the Mean Field Games System

  Michael V. Klibanov, Jingzhi Li, Hongyu Liu

  2026-02-01

  DOI:10.4208/aamm.OA-2024-0123

  5256 504 pp. 189-221

• 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

• 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

• New Residual Based Stabilization Method for the Elasticity Problem

  Minghao Li, Dongyang Shi, Ying Dai

  2018-09-17

  DOI:10.4208/aamm.2016.m1464

  45820 5158 pp. 100-113

• Fourth-Order Compact Split-Step Finite Difference Method for Solving the Two- and Three-Dimensional Nonlinear Schrödinger Equations

  Rena Eskar, Xinlong Feng, Pengzhan Huang

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0162

  47615 3537 pp. 879-895

• Decoupled Scheme for Non-Stationary Viscoelastic Fluid Flow

  Md. Abdullah Al Mahbub, Shahid Hussain, Nasrin Jahan Nasu, Haibiao Zheng

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0186

  45019 3173 pp. 1191-1226

• The New Mode of Instability in Viscous High-Speed Boundary Layer Flows

  Jie Ren, Youcheng Xi, Song Fu

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0298

  46646 3210 pp. 1057-1068

• Fractional Integro-Differential Equations Involving $\psi$-Hilfer Fractional Derivative

  Mohammed S. Abdo, Satish K. Panchal

  2019-01-11

  DOI:10.4208/aamm.OA-2018-0143

  47942 3310 pp. 338-359

• 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

• 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

• 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

  DOI:10.4208/aamm.OA-2023-0117

  26568 2475 pp. 1197-1222

• 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

• 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

• An Energy Stable Local Discontinuous Galerkin Method for a Binary Compressible Flow

  Hui Sun, Lulu Tian, Hui Guo

  2025-03-14

  DOI:10.4208/aamm.OA-2023-0326

  11540 850 pp. 888-908

• 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

• Mathematical Modeling and Hyers-Ulam Stability for a Nonlinear Epidemiological Model with $Φ_p$ Operator and Mittag-Leffler Kernel

  Achraf Zinihi, Moulay Rchid Sidi Ammi, Matthias Ehrhardt

  2025-07-19

  DOI:10.4208/aamm.OA-2024-0134

  8049 587 pp. 1481-1508

• On a Large Time-Stepping Method for the Swift-Hohenberg Equation

  Zhengru Zhang, Yuanzi Ma

  2021-07-01

  DOI:10.4208/aamm.2014.m48

  44290 4219 pp. 992-1003

• 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

• Error Analysis and Adaptive Methods of Least Squares Nonconforming Finite Element for the Transport Equations

  Huipo Liu, Shuanghu Wang, Hongbin Han

  2018-05-05

  DOI:10.4208/aamm.2015.m1104

  42801 3005 pp. 871-886

• 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

• 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