Search Results

• A Study of Preconditioned Jacobian-Free Newton-Krylov Discontinuous Galerkin Method for Compressible Flows on 3D Hexahedral Grids

  Wanglong Qin, Junwei Cai, Hongqiang Lu, Peter K. Jimack, M. A. Walkley

  2018-09-17

  DOI:10.4208/aamm.OA-2017-0004

  46724 4819 pp. 261-274 Open Access

• Unconditionally Energy-Dissipation- and Maximum-Bound-Principle-Preserving Scheme for the Time-Fractional Allen-Cahn Equation

  Dongdong Hu, Haorong Huang, Yayun Fu, Minghua Chen

  2025-12-22

  DOI:10.4208/aamm.OA-2025-0003

  1309 100 pp. 1503-1530

• High-Efficiency Explicit Multistep Schemes for Coupled Second-Order FBSDEs

  Bo Li, Weidong Zhao

  2026-02-01

  DOI:10.4208/aamm.OA-2024-0273

  4868 457 pp. 322-347

• Numerical Investigation of Dynamics Stall on Vertical Axis Wind Turbine

  Ao Zhang, Haocheng Yu, Jingzhou Zeng, Wei Zhao, Hao Wen, Jianguo Zheng

  2026-02-01

  DOI:10.4208/aamm.OA-2024-0030

  5507 519 pp. 67-92

• Coupled MRT Lattice Boltzmann Study of Electrokinetic Mixing of Power-Law Fluids in Microchannels with Heterogeneous Surface Potential

  Xuguang Yang, Lei Wang, Baochang Shi

  2021-07-01

  DOI:10.4208/aamm.OA-2017-0316

  46200 4030 pp. 1478-1496

• Two-Level Hierarchical PCG Methods for the Quadratic FEM Discretizations of 2D Concrete Aggregate Models

  Yingxiong Xiao, Heng Chen and Lingjie Xie

  2021-07-01

  DOI:10.4208/aamm.OA-2019-0002

  48181 4259 pp. 1376-1397

• Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions

  Jia-Le Li, Wai-Sun Don, Cai-Feng Wang, Bao-Shan Wang

  2025-03-14

  DOI:10.4208/aamm.OA-2023-0306

  11682 907 pp. 804-839

• A Self-Adaptive Algorithm of the Clean Numerical Simulation (CNS) for Chaos

  Shijie Qin, Shijun Liao

  2023-06-21

  DOI:10.4208/aamm.OA-2022-0340

  38469 3101 pp. 1191-1215

• Numerical Optimization and Noise Analysis of High-Tip-Speed Wind Turbine

  Long Wang, Guoping Chen, Tongguang Wang, Jiufa Cao

  2021-07-01

  DOI:10.4208/aamm.OA-2016-0171

  43035 3876 pp. 1461-1484

• Topology Optimization of the Caudal Fin of the Three-Dimensional Self-Propelled Swimming Fish

  Zhiqiang Xin, Chuijie Wu

  2021-07-01

  DOI:10.4208/aamm.2013.m394

  43674 4532 pp. 732-763

• A Type of Cascadic Adaptive Finite Element Method for Eigenvalue Problem

  Fei Xu, Qiumei Huang, Shuangshuang Chen, Hongkun Ma

  2020-04-10

  DOI:10.4208/aamm.OA-2019-0054

  45023 3296 pp. 774-796

• An Adaptive High-Order Surface Finite Element Method for Polymeric Self-Consistent Field Theory on General Curved Surfaces

  Kai Jiang, Xin Wang, Jianggang Liu, Huayi Wei

  2024-12-02

  DOI:10.4208/aamm.OA-2023-0061

  14758 1288 pp. 123-147

• A Two-Level Crank-Nicolson Difference Scheme and Its Richardson Extrapolation Methods for a Magneto-Thermo-Elasticity Model

  Dingwen Deng, Ruyu Zhang

  2024-02-29

  DOI:10.4208/aamm.OA-2022-0202

  27663 2890 pp. 608-635

• A Spectral Split-Step Padé Method for Guided Wave Propagation

  Daniel Walsken, Pavel Petrov, Matthias Ehrhardt

  2026-01-30

  DOI:10.4208/aamm.OA-2025-0179

  998 71 pp. 1602-1615

• A Three-Dimensional Mass-Conserved Multiphase Lattice Boltzmann Flux Solver for Incompressible Flows with Large Density and Viscosity Ratios

  Ehsan Azadi, Mohammad Taeibi Rahni

  2026-01-05

  DOI:10.4208/aamm.OA-2022-0189

  1181 86 pp. 1531-1553

• Error Analyses of the Single Hidden Layer Neural Network Based on the Extreme Learning Machine for Solving Differential Equations

  Baixue Xing, Hongliang Liu, Haodong Li, Zhenxing Fu

  2025-11-22

  DOI:10.4208/aamm.OA-2025-0085

  1609 111 pp. 1453-1502

• Optimizing Thermal Lattice Boltzmann Method on an MT-3000 Processor with Neo-Heterogeneous Strategies

  Qingyang Zhang, Lei Xu, Rongliang Chen, Hang Zou, Bo Yang, Jingzhi Li, Jie Liu

  2025-11-22

  DOI:10.4208/aamm.OA-2025-0046

  1602 108 pp. 1421-1452

• Barycentric Interpolation Collocation Methods Based on the Crank-Nicolson Scheme for Nonlinear Parabolic Optimal Control Problems

  Rong Huang, Zhifeng Weng, Jianhua Yuan

  2026-08-01

  DOI:10.4208/aamm.OA-2024-0004

  848 94 pp. 1242-1268

• Multi-Resolution WENO Method with Adaptive Linear Weights Using Subcell Strategy

  Jianming Wu, Cong Huang, Lili Chen

  2026-08-01

  DOI:10.4208/aamm.OA-2024-0258

  899 109 pp. 1328-1354

• Should Exponential Integrators Be Used for Advection-Dominated Problems?

  Lukas Einkemmer, Trung-Hau Hoang, Alexander Ostermann

  2026-06-01

  DOI:10.4208/aamm.OA-2024-0226

  4488 180 pp. 815-832

• Taylor Remainder-Based Discontinuity Detection Method with Application to Hybrid Compact-WENO Finite Difference Scheme for Hyperbolic Conservation Laws

  Xin-Ru Liu, Xiao Wen

  2026-06-01

  DOI:10.4208/aamm.OA-2024-0124

  4305 127 pp. 923-946

• Two Lattice Boltzmann Models for Three-Dimensional Coupled Burgers’ Equations

  Qianhuan Li, Fumei Rong, Zhenhua Chai, Baochang Shi

  2026-06-01

  DOI:10.4208/aamm.OA-2024-0110

  4314 135 pp. 874-896

• 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 Hybrid Reconstruction Method Based upon the Characteristic Fields Decomposition of Compressible Euler Equations

  Ke Zhang, Yiqing Shen

  2025-09-29

  DOI:10.4208/aamm.OA-2024-0024

  7318 398 pp. 1761-1788

• Characterizing Natural Convection, Energy, and Thermal Behavior in a Circular Cavity: Finite Element Analysis

  Muhammad Hamid, Muhammad Usman, Waqar Ahmed Khan, Rizwan Ul Haq, Zhenfu Tian

  2026-04-01

  DOI:10.4208/amm.OA-2024-0111

  5227 287 pp. 785-814

• First-Order, Unconditionally Stable, Fully Decoupled Methods for the Penalty Ericksen-Leslie System with Variable Density

  Zhaowei Wang, Danxia Wang, Hongen Jia, Chenhui Zhang

  2026-04-01

  DOI:10.4208/amm.OA-2024-0065

  5051 200 pp. 666-699

• Explicit, Monotone and Structure-Preserving Finite Difference Methods for Fisher-Kolmogorov-Petrovsky-Piscounov Equation and Allen-Cahn Equation

  Yuxin Liang, Dingwen Deng

  2026-04-01

  DOI:10.4208/aamm.OA-2023-0267

  5098 237 pp. 450-481