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  • A Solver for Helmholtz System Generated by the Discretization of Wave Shape Functions

    Long Yuan, Qiya Hu
    2021-07-01
    DOI:10.4208/aamm.12-m12142
    43879 4450 pp. 791-808
  • Convergent Overdetermined-RBF-MLPG for Solving Second Order Elliptic PDEs

    Ahmad Shirzadi, Leevan Ling
    2018-08-10
    DOI:10.4208/aamm.11-m11168
    43957 4923 pp. 78-89
  • Two-Level Newton Iteration Methods for Navier-Stokes Type Variational Inequality Problem

    Rong An, Hailong Qiu
    2018-08-10
    DOI:10.4208/aamm.11-m11188
    43477 4808 pp. 36-54
  • Quadratic Finite Volume Method for a Nonlinear Elliptic Problem

    Yanwei Du, Yonghai Li, Zhiqiang Sheng
    2019-06-24
    DOI:10.4208/aamm.OA-2017-0231
    43998 3249 pp. 838-869
  • 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
  • Numerical Integration over Pyramids

    Chuanmiao Chen, Michal Křížek, Liping Liu
    2013-05-01
    DOI:10.4208/aamm.12-m12110
    42665 5155 pp. 309-320
  • 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
  • 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
  • A Hybrided Trapezoidal-Difference Scheme for Nonlinear Time-Fractional Fourth-Order Advection-Dispersion Equation Based on Chebyshev Spectral Collocation Method

    Shichao Yi, Hongguang Sun
    2019-01-04
    DOI:10.4208/aamm.OA-2018-0045
    46708 4547 pp. 197-215
  • A Comparative Study of Finite Element and Finite Difference Methods for Two-Dimensional Space-Fractional Advection-Dispersion Equation

    Guofei Pang, Wen Chen, Kam Yim Sze
    2018-05-05
    DOI:10.4208/aamm.2014.m693
    43895 4731 pp. 166-186
  • An Implicit Block LU-SGS Algorithm-Based Lattice Boltzmann Flux Solver for Simulation of Hypersonic Flows

    Z. X. Meng, S. Z. Li, K. Peng, W. H. Zhang
    2019-01-04
    DOI:10.4208/aamm.OA-2018-0167
    47305 5224 pp. 72-90
  • Optimal Error Analysis of Euler and BDF2 Semi-Renormalized FEMs for the Landau-Lifshitz-Slonczewski Equation

    Yundan Zhao, Rong An
    2025-05-12
    DOI:10.4208/aamm.OA-2023-0119
    8967 575 pp. 1063-1087
  • A Priori Error Estimates of Crank-Nicolson Finite Volume Element Method for Parabolic Optimal Control Problems

    Xianbing Luo, Yanping Chen, Yunqing Huang
    2013-05-01
    DOI:10.4208/aamm.12-m1296
    42870 4255 pp. 688-704
  • A Boundary Mapped Collocation Method for the Analysis of the Arbitrarily Shaped Plates

    Zhentian Huang, Dong Lei, Zi Han, Heping Xie, Jianbo Zhu
    2024-12-02
    DOI:10.4208/aamm.OA-2022-0166
    14291 1208 pp. 350-372
  • 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 Truncated-Type Explicit Numerical Method for the Stochastic Allen-Cahn Equation

    Weijun Zhan, Qian Guo
    2024-12-02
    DOI:10.4208/aamm.OA-2022-0240
    14453 1306 pp. 295-314
  • Error Analysis of a New Euler Semi-Implicit Time-Discrete Scheme for the Incompressible MHD System with Variable Density

    Yuan Li, Xuewei Cui
    2024-12-02
    DOI:10.4208/aamm.OA-2023-0025
    14412 1298 pp. 263-294
  • The Boundary Mapped Collocation Method for Heat Conduction Problems with Heat Generation Spatially Varying Conductivity

    Zhentian Huang, Dong Lei, Zi Han, Heping Xie, Jianbo Zhu
    2024-12-02
    DOI:10.4208/aamm.OA-2022-0250
    14334 1207 pp. 240-262
  • The Exponential Transformation Based Lattice Boltzmann Model for Convection-Diffusion Equation

    Ting Zhang, Shuqi Cui, Ning Hong, Baochang Shi
    2024-12-02
    DOI:10.4208/aamm.OA-2023-0031
    14551 1227 pp. 224-239
  • 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
  • Implicit-Explicit Methods for the Efficient Simulation of the Settling of Dispersions of Droplets and Colloidal Particles

    Raimund Bürger, Pep Mulet, Lihki Rubio
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0029
    44496 3133 pp. 445-467
  • 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
  • Numerical Investigation of Multiple Shock/Turbulent Flow Interaction in a Supersonic Channel

    Peizhao Sun, Jiming Yang, Xiyun Lu
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0126
    45553 4789 pp. 390-408 Open Access
  • A New Reduced Basis Method for Parabolic Equations Based on Single-Eigenvalue Acceleration

    Qijia Zhai, Qingguo Hong, Xiaoping Xie
    2024-11-01
    DOI:10.4208/aamm.OA-2023-0053
    16088 1478 pp. 1328-1357
  • Efficient Preconditioned Iterative Linear Solvers for 3-D Magnetostatic Problems Using Edge Elements

    Xian-Ming Gu, Yanpu Zhao, Tingzhu Huang, Ran Zhao
    2020-01-17
    DOI:10.4208/aamm.OA-2018-0207
    49078 3379 pp. 301-318
  • Development of a Novel Nonlinear Dynamic Cavitation Model and Its Numerical Validations

    Haidong Yu, Xiaobo Quan, Haipeng Wei, Matevž Dular, Song Fu
    2024-02-29
    DOI:10.4208/aamm.OA-2023-0041
    29158 2845 pp. 771-804
  • Numerical Analysis of Stabilized Second Order Semi-Implicit Finite Element Methods for the Phase-Field Equations

    Congying Li, Liang Tang, Jie Zhou
    2024-02-29
    DOI:10.4208/aamm.OA-2023-0046
    27802 2821 pp. 667-691
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