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  • Multi-Symplectic Method for the Zakharov-Kuznetsov Equation

    Haochen Li, Jianqiang Sun, Mengzhao Qin
    2018-03-29
    DOI:10.4208/aamm.2013.m128
    42758 4668 pp. 58-73
  • Nonlinear Oscillations Analysis of the Elevator Cable in a Drum Drive Elevator System

    H. Askari, D. Younesian, Z. Saadatnia
    2018-03-29
    DOI:10.4208/aamm.2013.m225
    42967 4802 pp. 43-57
  • Numerical Simulation of a Multi-Frequency Resistivity Logging-While-Drilling Tool Using a Highly Accurate and Adaptive Higher-Order Finite Element Method

    Zhonghua Ma, Dejun Liu, Hui Li, Xinsheng Gao
    2012-04-01
    DOI:10.4208/aamm.10-m11158
    42020 4653 pp. 439-453
  • A Posteriori Error Estimates for $hp$ Spectral Element Approximation of Elliptic Control Problems with Integral Control and State Constraints

    Jinling Zhang, Yanping Chen, Yunqing Huang, Fenglin Huang
    2022-01-24
    DOI:10.4208/aamm.OA-2021-0144
    41202 3418 pp. 469-493
  • An Efficient Second-Order Finite Volume ADI Method for Nonlinear Three-Dimensional Space-Fractional Reaction-Diffusion Equations

    Bingyin Zhang, Hongfei Fu, Xueting Liang, Jun Liu, Jiansong Zhang
    2022-08-08
    DOI:10.4208/aamm.OA-2021-0153
    275934 3794 pp. 1400-1432
  • A Fifth Order Alternative Mapped WENO Scheme for Nonlinear Hyperbolic Conservation Laws

    Uttam Singh Rajput, Krishna Mohan Singh
    2021-11-18
    DOI:10.4208/aamm.OA-2020-0320
    50154 4623 pp. 275-298
  • 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
  • Entropy Generation Analysis around Airfoil Using Multi-Block Lattice Boltzmann Method

    Wei Wang, Jun Wang, Zhiang Li, Zhiliang Lin
    2022-02-25
    DOI:10.4208/aamm.OA-2020-0340
    46693 3418 pp. 777-798
  • Lattice Boltzmann Model for Time-Fractional Nonlinear Wave Equations

    Yibo Wang, Rui Du, Zhenhua Chai
    2022-04-11
    DOI:10.4208/aamm.OA-2021-0018
    45003 3701 pp. 914-935
  • An Improved WENO-Z+ Scheme

    Ruo Li, Wei Zhong
    2024-12-02
    DOI:10.4208/aamm.OA-2022-0308
    17998 1344 pp. 31-68
  • A Vertex-Centered Arbitrary Lagrangian-Eulerian Finite Volume Method with Sub-Cells for Two-Dimensional Compressible Flow

    Xiaolong Zhao, Xijun Yu, Zupeng Jia, Shijun Zou, Meilan Qiu
    2023-12-21
    DOI:10.4208/aamm.OA-2022-0085
    27149 2570 pp. 181-207
  • A Mass-Preserving Characteristic Finite Difference Method for Miscible Displacement Problem

    Jiansong Zhang, Yue Yu, Rong Qin, Zhaohui Liu
    2023-12-21
    DOI:10.4208/aamm.OA-2022-0060
    26134 2371 pp. 164-180
  • 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
  • High-Order Numerical Approximation and Error Estimation for Fourth-Order Equation in Complex Cylindrical Domain

    Xuenan Zhao, Jing An, Juan Zhang
    2026-08-01
    DOI:10.4208/aamm.OA-2024-0276
    1033 83 pp. 1189-1209
  • A Fast Spatial Two-Grid Raviart-Thomas MFE Algorithm for the Nonlinear Time Fractional Diffusion Equations on Temporal Graded Mesh

    Zhichao Fang, Shubin Dong, Jie Zhao, Hong Li
    2026-08-01
    DOI:10.4208/aamm.OA-2023-0307
    1026 84 pp. 1155-1188
  • A New Composite Wall Function for Adverse Pressure Gradient Flows

    Yiming Du, Mingze Ma, Jinrong Zhang, Hanqi Song, Chao Yan
    2026-08-01
    DOI:10.4208/aamm.OA-2024-0193
    1167 196 pp. 1087-1119
  • A Conservative Sharp Interface Method for Compressible Two-Medium Flows on Unstructured Triangular Meshes

    Tiao Lu, Xingchun Yu, Wenqi Yao
    2026-06-01
    DOI:10.4208/aamm.OA-2024-0234
    4274 145 pp. 961-987
  • 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
  • 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
  • PINN-Based Partial Learning for Multicontinuum Problems: Dual Continuum Fluid Filtration Simulation

    Wanbao Huang, Yin Yang, Dmitry Ammosov, Wei Xie, Sergei Stepanov
    2026-04-01
    DOI:10.4208/aamm.OA-2024-0222
    5164 254 pp. 537-560
  • A Modified Hybrid High-Order Essentially Non-Oscillatory Compact Difference Scheme for Nonlinear Degenerate Parabolic Equations

    Xiaohua Zhang, Shengfeng Wang
    2026-04-01
    DOI:10.4208/aamm.OA-2023-0261
    5091 270 pp. 482-518
  • 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
  • On the Numerical Solution of Logarithmic Boundary Integral Equations Arising in Laplace's Equations Based on the Meshless Local Discrete Collocation Method

    Pouria Assari, Mehdi Dehghan
    2019-06-24
    DOI:10.4208/aamm.OA-2018-0050
    44248 3323 pp. 807-837
  • A Localized Space-Time Method of Fundamental Solutions for Diffusion and Convection-Diffusion Problems

    Fajie Wang, Chia-Ming Fan, Chuanzeng Zhang, Ji Lin
    2020-06-01
    DOI:10.4208/aamm.OA-2019-0269
    54399 3536 pp. 940-958
  • Solving Fourth-Order PDEs Using the LMAPS

    Cheng Deng, Hui Zheng, Yan Shi, C. S. Chen
    2020-06-01
    DOI:10.4208/aamm.OA-2019-0216
    50895 3404 pp. 920-939
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