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  • 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
  • An Upwind-Block-Centered Multistep Difference Method for a Semiconductor Device and Numerical Analysis

    Yirang Yuan, Changfeng Li, Huailing Song
    2025-03-14
    DOI:10.4208/aamm.OA-2022-0207
    11559 902 pp. 706-731
  • 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
  • Numerical Study of Double Diffusive Convection in Partially Heated Vertical Open Ended Cylindrical Annulus

    Mani Sankar
    2021-07-01
    DOI:10.4208/aamm.09-m0997
    40889 4218 pp. 763-783
  • A Comparison Study of Numerical Methods for Compressible Two-Phase Flows

    Jianyu Lin, Hang Ding, Xiyun Lu, Peng Wang
    2018-05-05
    DOI:10.4208/aamm.OA-2016-0084
    45731 3131 pp. 1111-1132
  • A Numerical Study of Characteristic Slow-Transient Behavior of a Compressible 2D Gas-Liquid Two-Fluid Model

    H.A. Friis, S. Evje, T. Flåtten
    2018-08-10
    40280 4013 pp. 166-200
  • Mechanisms for Stabilizing Thermal Lattice Boltzmann Equation and Their Applications for Convection-Diffusion Problem on Nonuniform Meshes

    Jinhua Lu
    2025-09-29
    DOI:10.4208/aamm.OA-2024-0128
    7272 386 pp. 1715-1741
  • 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 Numerical Method on Eulerian Grids for Two-Phase Compressible Flow

    Yonghui Guo, Ruo Li, Chengbao Yao
    2018-05-05
    DOI:10.4208/aamm.2014.m706
    42705 4713 pp. 187-212 Open Access
  • A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows

    Adyllyson H. Nascimento, Eugênio S. Rosa
    2023-12-21
    DOI:10.4208/aamm.OA-2022-0022
    26821 2453 pp. 47-74
  • A New Framework of Convergence Analysis for Solving the General Nonlinear Schrödinger Equation Using the Fourier Pseudo-Spectral Method in Two Dimensions

    Jialing Wang, Tingchun Wang, Yushun Wang
    2023-02-24
    DOI:10.4208/aamm.OA-2021-0219
    38435 3264 pp. 786-813
  • Numerical Solution of Euler-Lagrange Equation with Caputo Derivatives

    Tomasz Blaszczyk, Mariusz Ciesielski
    2018-05-05
    DOI:10.4208/aamm.2015.m970
    44004 5154 pp. 173-185
  • 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
  • On the Computations of Gas-Solid Mixture Two-Phase Flow

    D. Zeidan, R. Touma
    2014-06-01
    DOI:10.4208/aamm.12-m1282
    46059 5330 pp. 49-74
  • A New Finite Volume Element Formulation for the Non-Stationary Navier-Stokes Equations

    Zhendong Luo
    2014-06-01
    DOI:10.4208/aamm.2013.m83
    42994 4483 pp. 615-636
  • Stability Analysis for Modelling 3D Poroelastic Wave Propagation by High-Order Staggered-Grid Schemes

    Wensheng Zhang, Atish Kumar Joardar, Fei Wu
    2024-07-22
    DOI:10.4208/aamm.OA-2023-0063
    26573 2436 pp. 1121-1151
  • The Eulerian-Lagrangian Method with Accurate Numerical Integration

    Kun Li
    2018-08-10
    DOI:10.4208/aamm.11-m1192
    42407 4336 pp. 156-174
  • Sinc Collocation Numerical Methods for Solving Two-Dimensional Gross-Pitaevskii Equations with Non-Homogeneous Dirichlet Boundary Conditions

    Shengnan Kang, Kenzu Abdella, Macro Pollanen, Shuhua Zhang, Liang Wang
    2022-08-08
    DOI:10.4208/aamm.OA-2021-0189
    292936 4222 pp. 1302-1332
  • Numerical Methods for Semilinear Fractional Diffusion Equations with Time Delay

    Shuiping Yang, Yubin Liu, Hongyu Liu, Chao Wang
    2021-11-18
    DOI:10.4208/aamm.OA-2020-0387
    50510 4492 pp. 56-78
  • Reduction of Numerical Oscillations in Simulating Moving-Boundary Problems by the Local DFD Method

    Yang Zhang, Chunhua Zhou
    2018-05-05
    DOI:10.4208/aamm.2014.m590
    44258 4587 pp. 145-165
  • An $h$-Adaptive Finite Element Solution of the Relaxation Non-Equilibrium Model for Gravity-Driven Fingers

    Huanying Bian, Yedan Shen, Guanghui Hu
    2021-11-17
    DOI:10.4208/aamm.OA-2020-0218
    49745 4057 pp. 1418-1440
  • A Genuinely 2D Well-Balanced Method for Elastic-Plastic Flow in Cylindrically Symmetric Coordinates

    Zhiqiang Zeng, Weixiong Yuan, Chengliang Feng, Tiegang Liu, Shengtao Zhang
    2024-12-31
    DOI:10.4208/aamm.OA-2022-0317
    13272 1285 pp. 599-632
  • A Radial Basis Function Meshless Numerical Method for Solving Interface Problems in Irregular Domains

    Xin Lu, Ping Zhang, Liwei Shi, Songming Hou, Ying Kuang
    2020-12-21
    DOI:10.4208/aamm.OA-2020-0004
    47486 3355 pp. 645-670
  • An Upwind Mixed Volume Element-Fractional Step Method on a Changing Mesh for Compressible Contamination Treatment from Nuclear Waste

    Changfeng Li, Yirang Yuan, Huailing Song
    2021-07-01
    DOI:10.4208/aamm.OA-2017-0332
    46623 3937 pp. 1384-1417
  • 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
  • Ultraspherical Spectral Method for Block Copolymer Systems on Unit Disk

    Wangbo Luo, Yanxiang Zhao
    2024-12-02
    DOI:10.4208/aamm.OA-2024-0161
    17683 1291 pp. 69-103
  • An Isoparametric Finite Element Method for Reissner-Mindlin Plate Problem on Curved Domain

    Zhixin Liu, Minghui Song, Shicang Song
    2024-02-29
    DOI:10.4208/aamm.OA-2022-0206
    27099 2691 pp. 715-737
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