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Advances in Applied Mathematics and Mechanics
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  • A Sharp Interface Method for Compressible Multi-Phase Flows Based on the Cut Cell and Ghost Fluid Methods

    Xiao Bai, Xiaolong Deng
    2018-05-05
    44977 3085 Pages:1052-1075
  • 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
    47360 3264 Pages:725-758
  • High-Order Finite Difference Schemes Based on Symmetric Conservative Metric Method: Decomposition, Geometric Meaning and Connection with Finite Volume Schemes

    Xiaogang Deng, Huajun Zhu, Yaobing Min, Huayong Liu, Meiliang Mao, Guangxue Wang
    2020-01-17
    49137 3346 Pages:436-479
  • A Direct Discontinuous Galerkin Method with Interface Correction for the Compressible Navier-Stokes Equations on Unstructured Grids

    Jian Cheng, Huiqiang Yue, Shengjiao Yu, Tiegang Liu
    2018-09-17
    47338 5285 Pages:1-21
  • 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
    45031 3067 Pages:1261-1292
  • 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
    14316 1048 Pages:123-147
  • High Order Deep Domain Decomposition Method for Solving High Frequency Interface Problems

    Zhipeng Chang, Ke Li, Xiufen Zou, Xueshuang Xiang
    2023-10-11
    30476 2735 Pages:1602-1630
  • Collocation Methods for Hyperbolic Partial Differential Equations with Singular Sources

    Jae-Hun Jung, Wai Sun Don
    2021-07-01
    41515 4132 Pages:769-780
  • 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
    275646 3715 Pages:1400-1432
  • A High-Order Well-Balanced Discontinuous Galerkin Method Based on the Hydrostatic Reconstruction for the Ripa Model

    Jiaojiao Li, Gang Li, Shouguo Qian, Jinmei Gao, Qiang Niu
    2021-07-01
    48037 4043 Pages:1416-1437
  • 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
    47416 5050 Pages:53-71
  • An Upwind Mixed Volume Element-Fractional Step Method on a Changing Mesh for Compressible Contamination Treatment from Nuclear Waste

    Changfeng Li, Yirang Yuan, Huailing Song
    2021-07-01
    46374 3884 Pages:1384-1417
  • A High-Order Numerical Method to Study Three-Dimensional Hydrodynamics in a Natural River

    Luyu Shen, Changgen Lu, Weiguo Wu, Shifeng Xue
    2018-03-30
    42108 3086 Pages:180-195
  • Unified Solution of Conjugate Fluid and Solid Heat Transfer – Part II. High-Order Conjugate Heat Transfer

    Shu-Jie Li, Lili Ju
    2025-03-14
    11078 722 Pages:758-777
  • A Truly Boundary-Only Meshfree Method Applied to Kirchhoff Plate Bending Problems

    Zhuojia Fu, Wen Chen
    2018-08-10
    41379 3926 Pages:341-352
  • An Extrapolation Cascadic Multigrid Method for Elliptic Problems on Reentrant Domains

    Kejia Pan, Dongdong He, Chuanmiao Chen
    2021-07-01
    42892 3842 Pages:1347-1363
  • A High-Order Localized Artificial Diffusivity Scheme for Discontinuity Capturing on 1D Drift-Flux Models for Gas-Liquid Flows

    Adyllyson H. Nascimento, Eugênio S. Rosa
    2023-12-21
    26519 2291 Pages:47-74
  • Assessing the Performance of a Three Dimensional Hybrid Central-WENO Finite Difference Scheme with Computation of a Sonic Injector in Supersonic Cross Flow

    Wai-Sun Don, Antonio de Gregorio, Jean-Piero Suarez, Gustaaf B. Jacobs
    2021-07-01
    43243 4292 Pages:719-736
  • Large Eddy Simulation of Flow over a Cylinder Using High-Order Spectral Difference Method

    Abrar H. Mohammad, Z. J. Wang, Chunlei Liang
    2019-02-13
    40172 3835 Pages:451-466
  • An Energy-Preserving Scheme for the Coupled Gross-Pitaevskii Equations

    Lan Wang, Wenjun Cai, Yushun Wang
    2020-10-20
    49650 4489 Pages:203-231
  • A Well-Conditioned Spectral Integration Method for High-Order Differential Equations with Variable Coefficients

    Yurun Wang, Huiling Su, Fei Liu
    2024-11-01
    15220 1379 Pages:1549-1568
  • A Note on the Generating Function Method

    Yonghui Bo, Wenjun Cai, Yushun Wang
    2021-04-13
    43206 2988 Pages:982-1004
  • High-Order Three-Scale Computational Method for Thermoelastic Behavior Analysis of Axisymmetric Composite Structures with Multiple Spatial Scales

    Hao Dong, Junzhi Cui, Yufeng Nie, Zihao Yang, Zhiqiang Yang
    2020-01-17
    46799 3152 Pages:599-642
  • A Multi-Dimensional Shock-Capturing Limiter for High-Order Least Square-Based Finite Difference-Finite Volume Method on Unstructured Grids

    Yangyang Liu, Liming Yang, Chang Shu, Huangwei Zhang
    2020-12-21
    46810 3272 Pages:671-700
  • Explicit High Order One-Step Methods for Decoupled Forward Backward Stochastic Differential Equations

    Quan Zhou, Yabing Sun
    2021-11-17
    49878 4002 Pages:1293-1317
  • A Fast High Order Iterative Solver for the Electromagnetic Scattering by Open Cavities Filled with the Inhomogeneous Media

    Meiling Zhao
    2013-05-01
    41591 4231 Pages:235-257
  • A High-Order Discontinuous Galerkin Method for the Two-Dimensional Time-Domain Maxwell's Equations on Curved Mesh

    Hongqiang Lu, Yida Xu, Yukun Gao, Wanglong Qin, Qiang Sun
    2018-05-05
    44347 4626 Pages:104-116
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