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  • The Fast Implementation of the ADI-CN Method for a Class of Two-Dimensional Riesz Space-Fractional Diffusion Equations

    Zhiyong Xing, Liping Wen
    2019-06-24
    DOI:10.4208/aamm.OA-2018-0162
    44604 3234 pp. 942-956
  • 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
  • A Maximum-Principle-Preserving Third Order Finite Volume SWENO Scheme on Unstructured Triangular Meshes

    Yunrui Guo, Lingyan Tang, Hong Zhang, Songhe Song
    2018-09-17
    DOI:10.4208/aamm.OA-2016-0196
    47335 6298 pp. 114-137
  • Adjoint-Based Adaptive Isogeometric Discontinuous Galerkin Method for Euler Equations

    Shengjiao Yu, Renzhong Feng, Huiqiang Yue, Zheng Wang, Tiegang Liu
    2018-09-17
    DOI:10.4208/aamm.OA-2017-0046
    44800 3234 pp. 652-672
  • Multiderivative Combined Dissipative Compact Scheme Satisfying Geometric Conservation Law II: Applications on Complex Curvilinear Meshes

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2019-01-11
    DOI:10.4208/aamm.OA-2018-0079
    44367 3173 pp. 285-311
  • Multigrid Method for Poroelasticity Problem by Finite Element Method

    Luoping Chen, Yanping Chen
    2021-07-01
    DOI:10.4208/aamm.OA-2019-0003
    48891 4479 pp. 1339-1357
  • Stability of Two Conservative, High-Order Fluid-Fluid Coupling Methods

    Jeffrey M. Connors, Robert D. Dolan
    2021-07-01
    DOI:10.4208/aamm.OA-2018-0212
    64350 4653 pp. 1287-1338
  • A Three-Dimensional Gas-Kinetic BGK Scheme for Simulating Flows in Rotating Machinery

    Di Zhou, Zhiliang Lu, Tongqing Guo
    2019-01-04
    DOI:10.4208/aamm.OA-2018-0093
    47588 4530 pp. 168-196
  • A Second-Order Alikhanov Type Implicit Scheme for the Time-Space Fractional Ginzburg-Landau Equation

    Yufang Gao, Shengxiang Chang, Changna Lu
    2024-11-01
    DOI:10.4208/aamm.OA-2022-0097
    15440 1451 pp. 1451-1473
  • An Explicit Superconvergent Weak Galerkin Finite Element Method for the Heat Equation

    Fuzheng Gao, Shangyou Zhang
    2024-12-31
    DOI:10.4208/aamm.OA-2023-0290
    13222 1219 pp. 538-553
  • Petrov-Galerkin Immersed Iso$P_2-P_0$ Interface Method for Solving Stokes Interface Problem

    Na Zhu, Hongxing Rui
    2025-03-14
    DOI:10.4208/aamm.OA-2022-0268
    11499 852 pp. 909-921
  • 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
  • Discontinuous Galerkin Methods for Auto-Convolution Volterra Integral Equations

    Yuping Li, Hui Liang, Huifang Yuan
    2025-05-12
    DOI:10.4208/aamm.OA-2024-0008
    8930 602 pp. 1111-1132
  • Restricted Additive Schwarz Preconditioner for Elliptic Equations with Jump Coefficients

    Zhiyong Liu, Yinnian He
    2021-07-01
    DOI:10.4208/aamm.2014.m669
    43742 4224 pp. 1072-1083
  • A Goal-Oriented Adaptive Moreau-Yosida Algorithm for Control- and State-Constrained Elliptic Control Problems

    Andreas Günther, Moulay Hicham Tber
    2018-05-05
    DOI:10.4208/aamm.2014.m663
    40966 3142 pp. 426-448
  • Error Analysis and Adaptive Methods of Least Squares Nonconforming Finite Element for the Transport Equations

    Huipo Liu, Shuanghu Wang, Hongbin Han
    2018-05-05
    DOI:10.4208/aamm.2015.m1104
    42801 3005 pp. 871-886
  • Extremum-Preserving Correction of the Nine-Point Scheme for Diffusion Equation on Distorted Meshes

    Wang Kong, Zhenying Hong, Guangwei Yuan, Zhiqiang Sheng
    2022-12-13
    DOI:10.4208/aamm.OA-2021-0280
    39382 5057 pp. 402-427
  • Floating Solid Particles Interacting with Tilted Square Obstacles in Fluid Affecting Drag Forces

    K. Usman, S. Jabeen, M. Shahid
    2022-12-13
    DOI:10.4208/aamm.OA-2021-0064
    38867 3212 pp. 359-375
  • On the Convergence of a Crank-Nicolson Fitted Finite Volume Method for Pricing European Options Under Regime-Switching Kou’s Jump-Diffusion Models

    Xiaoting Gan, Junfeng Yin, Rui Li
    2023-06-21
    DOI:10.4208/aamm.OA-2021-0016
    36982 2979 pp. 1290-1314
  • Accurate 8-Node Hybrid Hexahedral Elements with Energy-Compatible Stress Modes

    Shiquan Zhang, Xiaoping Xie
    2018-11-01
    DOI:10.4208/aamm.09-m0959
    40256 3927 pp. 333-354
  • Vortex Capturing Using PNS-WENO Schemes in Uniform and Non Uniform Mesh Formulations

    Demian De Feo, Ning Qin, Trevor J. Birch
    2019-02-13
    DOI:10.4208/aamm.09-m0917
    41583 4543 pp. 399-429
  • A High-Accuracy Mechanical Quadrature Method for Solving the Axisymmetric Poisson's Equation

    Hu Li, Jin Huang
    2018-05-05
    DOI:10.4208/aamm.2015.m1287
    42158 2980 pp. 393-406
  • Evaluating the Origin Intensity Factor in the Singular Boundary Method for Three-Dimensional Dirichlet Problems

    Linlin Sun, Wen Chen, Alexander H.-D. Cheng
    2021-07-01
    DOI:10.4208/aamm.2015.m1153
    43347 3944 pp. 1289-1311
  • Efficient and Stable Exponential Runge-Kutta Methods for Parabolic Equations

    Liyong Zhu
    2018-05-05
    DOI:10.4208/aamm.2015.m1045
    43540 4790 pp. 157-172
  • Runge-Kutta Discontinuous Galerkin Method with Front Tracking Method for Solving the Compressible Two-Medium Flow on Unstructured Meshes

    Haitian Lu, Jun Zhu, Chunwu Wang, Ning Zhao
    2018-05-05
    DOI:10.4208/aamm.2015.m1070
    44663 5415 pp. 73-91
  • A New Two-Grid Method for Expanded Mixed Finite Element Solution of Nonlinear Reaction Diffusion Equations

    Shang Liu, Yanping Chen
    2018-08-04
    DOI:10.4208/aamm.2015.m1370
    41450 2991 pp. 757-774
  • The Oseen Type Finite Element Iterative Method for the Stationary Incompressible Magnetohydrodynamics

    Xiaojing Dong, Yinnian He
    2018-05-05
    DOI:10.4208/aamm.2015.m934
    42382 3067 pp. 775-794
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