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  • A Characteristics-Mixed Volume Element Method for the Displacement Problem of Enhanced Oil Recovery

    Yirang Yuan, Aijie Cheng, Changfeng Li, Tongjun Sun, Qing Yang
    2019-06-24
    DOI:10.4208/aamm.OA-2018-0205
    45637 3298 pp. 1084-1113
  • 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 Numerical Method and Error Analysis for Fourth Order Elliptic Eigenvalue Problems in Circular Domain

    Yixiao Ge, Ting Tan, Jing An
    2020-04-10
    DOI:10.4208/aamm.OA-2019-0068
    46385 3392 pp. 815-834
  • Extending Seventh-Order Dissipative Compact Scheme Satisfying Geometric Conservation Law to Large Eddy Simulation on Curvilinear Grids

    Yi Jiang, Meiliang Mao, Xiaogang Deng, Huayong Liu
    2018-05-05
    DOI:10.4208/aamm.2013.m404
    41271 3174 pp. 407-429
  • 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
  • Cell Conservative Flux Recovery and a Posteriori Error Estimate of Vertex-Centered Finite Volume Methods

    Long Chen, Ming Wang
    2013-05-01
    DOI:10.4208/aamm.12-m1279
    43053 4233 pp. 705-727
  • An Extension of the Order-Preserving Mapping to the WENO-Z-Type Schemes

    Ruo Li, Wei Zhong
    2022-10-24
    DOI:10.4208/aamm.OA-2022-0032
    44085 4056 pp. 202-243
  • New Finite Volume Mapped Unequal-Sized WENO Scheme for Hyperbolic Conservation Laws

    Yan Zhang, Jun Zhu
    2024-01-04
    DOI:10.4208/aamm.OA-2022-0184
    27093 2497 pp. 459-492
  • 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
  • A Compact Eulerian Interface–Capturing Algorithm for Compressible Multimaterial Elastic–Plastic Flows with Mie–Grüneisen Equation of State

    Xiang Li, Dong-Jun Ma, Nan-Sheng Liu, Pei Wang
    2022-12-13
    DOI:10.4208/aamm.OA-2021-0019
    38677 2981 pp. 485-521
  • 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
  • An Extrapolation Cascadic Multigrid Method for Elliptic Problems on Reentrant Domains

    Kejia Pan, Dongdong He, Chuanmiao Chen
    2021-07-01
    DOI:10.4208/aamm.OA-2016-0019
    43106 3904 pp. 1347-1363
  • A Truly Boundary-Only Meshfree Method Applied to Kirchhoff Plate Bending Problems

    Zhuojia Fu, Wen Chen
    2018-08-10
    41619 4119 pp. 341-352
  • A Fully Discrete Explicit Multistep Scheme for Solving Coupled Forward Backward Stochastic Differential Equations

    Ying Liu, Yabing Sun, Weidong Zhao
    2020-04-10
    DOI:10.4208/aamm.OA-2019-0079
    50180 3455 pp. 643-663
  • A Well-Balanced Runge-Kutta Discontinuous Galerkin Method for Multilayer Shallow Water Equations with Non-Flat Bottom Topography

    Nouh Izem, Mohammed Seaid
    2022-02-25
    DOI:10.4208/aamm.OA-2020-0364
    47635 3331 pp. 725-758
  • High-Order Well-Balanced Finite Volume WENO Schemes with Conservative Variables Decomposition for Shallow Water Equations

    Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao
    2021-04-13
    DOI:10.4208/aamm.OA-2020-0138
    45161 3271 pp. 827-849
  • A Splitting Method for the Degasperis-Procesi Equation Using an Optimized WENO Scheme and the Fourier Pseudospectral Method

    Yunrui Guo, Wenjing Yang, Hong Zhang, Ji Wang, Songhe Song
    2019-01-04
    DOI:10.4208/aamm.OA-2018-0054
    47665 5220 pp. 53-71
  • Two-Relaxation-Time Regularized Lattice Boltzmann Model for Navier-Stokes Equations

    Yuan Yu, Zuojian Qin, Siwei Chen, Shi Shu, Haizhuan Yuan
    2024-12-31
    DOI:10.4208/aamm.OA-2024-0203
    13709 1344 pp. 489-516
  • 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 Coiflet Wavelet Homotopy Technique for Nonlinear PDEs: Application to the Extreme Bending of Orthotropic Plate with Forced Boundary Constraints

    Qiang Yu, Shuaimin Wang, Junfeng Xiao, Hang Xu
    2023-10-11
    DOI:10.4208/aamm.OA-2022-0214
    31109 2811 pp. 1473-1514
  • Edge Detectors Based on Pauta Criterion with Application to Hybrid Compact-WENO Finite Difference Scheme

    Chunhua Zhang, Zhen Gao, Sa Ye, Peng Li
    2023-10-11
    DOI:10.4208/aamm.OA-2021-0250
    72022 3126 pp. 1379-1406
  • Numerical Simulation of Deflagration to Detonation Transition in a Straight Duct: Effects of Energy Release and Detonation Stability

    Hua-Shu Dou, Zongmin Hu, Boo Cheong Khoo, Zonglin Jiang
    2021-07-01
    DOI:10.4208/aamm.2013.m159
    43860 4696 pp. 718-731
  • Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

    Jae-Hun Jung, Wai Sun Don
    2021-07-01
    DOI:10.4208/aamm.09-m09S10
    41818 4266 pp. 769-780
  • On Scientific Data and Image Compression Based on Adaptive Higher-Order FEM

    P. Solin, D. Andrs
    2018-08-10
    44006 4816 pp. 56-68
  • An Upwind Mixed Finite Element Method on Changing Meshes for Positive Semi-Definite Oil-Water Displacement of Darcy-Forchheimer Flow in Porous Media

    Yirang Yuan, Huailing Song, Changfeng Li, Tongjun Sun
    2020-07-24
    DOI:10.4208/aamm.OA-2019-0256
    49744 3325 pp. 1196-1223
  • The Modified Localized Method of Approximated Particular Solutions for Linear and Nonlinear Convection-Diffusion-Reaction PDEs

    Wen Li, Kalani Rubasinghe, Guangming Yao, L. H. Kuo
    2020-07-24
    DOI:10.4208/aamm.OA-2019-0033
    44812 3356 pp. 1113-1136
  • 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
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