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  • Impact Dynamics of Binary Off-Center Unequal-Sized Droplets Colliding on a Superhydrophobic Surface

    Meixuan Li, Jie Wu, Tongwei Zhang
    2024-07-22
    DOI:10.4208/aamm.OA-2023-0289
    26623 2393 pp. 1223-1251
  • Error Analysis of Fully Discrete Data Assimilation Algorithms for Reaction-Diffusion Equation

    Wansheng Wang, Chengyu Jin, Yi Huang
    2025-03-14
    DOI:10.4208/aamm.OA-2023-0150
    11429 879 pp. 840-866
  • The Spatial-Temporal Fourth-Order Conservative Characteristic Runge-Kutta Finite Difference Method for Convection-Dominated Diffusion Equation

    Dan Qin, Kai Fu, Dong Liang
    2025-03-14
    DOI:10.4208/aamm.OA-2023-0173
    11582 918 pp. 732-757
  • Thirteen-Velocity Three-Dimensional Multiple-Relaxation-Time Lattice Boltzmann Model for Incompressible Navier-Stokes Equations

    Wenhuan Zhang, Shibo Kuang, Zhenhua Chai, Baochang Shi
    2025-05-12
    DOI:10.4208/aamm.OA-2023-0078
    9246 656 pp. 1037-1062
  • Numerical Inversion for the Initial Distribution in the Multi-Term Time-Fractional Diffusion Equation Using Final Observations

    Chunlong Sun, Gongsheng Li, Xianzheng Jia
    2021-07-01
    DOI:10.4208/aamm.OA-2016-0170
    42273 3662 pp. 1525-1546
  • Two-Dimensional Legendre Wavelets for Solving Time-Fractional Telegraph Equation

    M. H. Heydari, M. R. Hooshmandasl, F. Mohammadi
    2014-06-01
    DOI:10.4208/aamm.12-m12132
    43190 4356 pp. 247-260
  • The Method of Fundamental Solutions for Solving Convection-Diffusion Equations with Variable Coefficients

    C. M. Fan, C.S. Chen, J. Monroe
    2018-08-10
    43154 4519 pp. 215-230
  • 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
  • Sensitivity Analysis and Computations of the Time Relaxation Model

    Monika Neda, Fran Pahlevani, Jiajia Waters
    2018-03-29
    DOI:10.4208/aamm.2013.m296
    42806 4553 pp. 89-115
  • Analysis of an Implicit Fully Discrete Local Discontinuous Galerkin Method for the Time-Fractional Kdv Equation

    Leilei Wei, Yinnian He, Xindong Zhang
    2018-05-05
    DOI:10.4208/aamm.2013.m220
    41748 3170 pp. 510-527
  • Numerical Method for the Time Fractional Fokker-Planck Equation

    Xue-Nian Cao, Jiang-Li Fu, Hu Huang
    2021-07-01
    DOI:10.4208/aamm.12-12S13
    43009 4348 pp. 848-863
  • Exponential Time Differencing Schemes for the Peng-Robinson Equation of State with Preservation of Maximum Bound Principle

    Qiumei Huang, Kun Jiang, Jingwei Li
    2022-01-24
    DOI:10.4208/aamm.OA-2021-0008
    42786 3526 pp. 494-527
  • 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
  • Accelerated Gradient Descent Methods for the Uniaxially Constrained Landau-de Gennes Model

    Edison E. Chukwuemeka, Shawn W. Walker
    2021-11-18
    DOI:10.4208/aamm.OA-2021-0075
    50433 4126 pp. 1-32
  • High Order Efficient Algorithm for Computation of MHD Flow Ensembles

    Muhammad Mohebujjaman
    2022-06-13
    DOI:10.4208/aamm.OA-2021-0154
    43377 3537 pp. 1111-1137
  • The Investigation of Rayleigh-Taylor Mixing with a Premixed Layer by BHR Turbulence Model

    Yang Song, Lili Wang, Pei Wang
    2022-06-13
    DOI:10.4208/aamm.OA-2021-0032
    43262 3565 pp. 1017-1039
  • An Improved Single-Relaxation-Time Multiphase Lattice Boltzmann Model for Multiphase Flows with Large Density Ratios and High Reynolds Numbers

    Qiaozhong Li, Xiaodong Niu, Zhiliang Lu, You Li, Adnan Khan, Zishu Yu
    2020-12-18
    DOI:10.4208/aamm.OA-2019-0232
    44574 3297 pp. 426-454
  • A Linearized Difference Scheme for Time-Fractional Sine-Gordon Equation

    Zhiyong Xing, Liping Wen
    2020-12-18
    DOI:10.4208/aamm.OA-2019-0346
    44390 3275 pp. 285-295
  • 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
  • Multiple-Relaxation-Time Lattice Boltzmann Simulation of Magnetic Field Effect on Natural Convection of Non-Newtonian Nanofluid in Rectangular Enclosure

    J. Quader Yuki, Ishan Sen, M. Mahfil Q. Sakib, Preetom Nag, Md. Mamun Molla
    2021-06-08
    DOI:10.4208/aamm.OA-2020-0118
    46465 3261 pp. 1142-1168
  • 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
  • A Novel Discretization Method for Semilinear Reaction-Diffusion Equation

    Luoping Chen, Yanping Chen
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0011
    44666 3204 pp. 409-423
  • A Priori Error Analysis of an Euler Implicit, Finite Element Approximation of the Unsteady Darcy Problem in an Axisymmetric Domain

    Ajmia Younes Orfi, Driss Yakoubi
    2018-09-17
    DOI:10.4208/aamm.OA-2016-0055
    45000 3213 pp. 301-321
  • Implicit Runge-Kutta-Nyström Methods with Lagrange Interpolation for Nonlinear Second-Order IVPs with Time-Variable Delay

    Chengjian Zhang, Siyi Wang, Changyang Tang
    2024-01-04
    DOI:10.4208/aamm.OA-2022-0290
    27730 2477 pp. 423-436
  • 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
  • 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
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