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Advances in Applied Mathematics and Mechanics
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  • 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
  • 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
  • A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids

    Michael Yang, Z.J. Wang
    2018-08-10
    96 66 Pages:451-480
  • A Parameter-Free Generalized Moment Limiter for High-Order Methods on Unstructured Grids

    Michael Yang, Z.J. Wang
    2018-08-10
    40764 4056 Pages:451-480
  • A Note on the Generating Function Method

    Yonghui Bo, Wenjun Cai, Yushun Wang
    2021-04-13
    43206 2988 Pages:982-1004
  • A Study of Fifth-Order WENO Reconstruction for Genuinely Two-Dimensional Convection-Pressure Flux Split Riemann Solver

    Shide Tan, Haizhuan Yuan, Lijun Hu
    2024-11-01
    16349 1456 Pages:1297-1327
  • Arbitrarily High-Order Energy-Preserving Schemes for the Camassa-Holm Equation Based on the Quadratic Auxiliary Variable Approach

    Yuezheng Gong, Qi Hong, Chunwu Wang, Yushun Wang
    2023-06-21
    37945 3118 Pages:1233-1255
  • 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 Robust Three-Level Time Split High-Order Leapfrog/Crank-Nicolson Scheme for Two-Dimensional Sobolev and Regularized Long Wave Equations Arising in Fluid Mechanics

    Eric Ngondiep
    2025-03-14
    11029 774 Pages:956-988
  • High-Order Local Absorbing Boundary Conditions for Fractional Evolution Equations on Unbounded Strips

    Haixia Dong, Miao Wang, Dongsheng Yin, Qian Zhang
    2020-04-10
    46510 3286 Pages:664-693
  • 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 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
  • Cell Conservative Flux Recovery and a Posteriori Error Estimate of Vertex-Centered Finite Volume Methods

    Long Chen, Ming Wang
    2013-05-01
    42845 4107 Pages:705-727
  • The Spatial-Temporal Fourth-Order Conservative Characteristic Runge-Kutta Finite Difference Method for Convection-Dominated Diffusion Equation

    Dan Qin, Kai Fu, Dong Liang
    2025-03-14
    11206 814 Pages:732-757
  • A Straightforward $hp$-Adaptivity Strategy for Shock-Capturing with High-Order Discontinuous Galerkin Methods

    Hongqiang Lu, Qiang Sun
    2014-06-01
    44541 4935 Pages:135-144
  • A New High-Order Conservative Patched Grid Strategy Based on Collapsed Edge

    Yidao Dong, Xiaogang Deng, Yaming Chen, Xu Dan, Guangxue Wang
    2018-09-17
    44318 3017 Pages:611-633
  • Spatial-Temporal Adaptive-Order Positivity-Preserving WENO Finite Difference Scheme with Relaxed CFL Condition for Euler Equations with Extreme Conditions

    Jia-Le Li, Wai-Sun Don, Cai-Feng Wang, Bao-Shan Wang
    2025-03-14
    11235 796 Pages:804-839
  • A Spectral Time-Domain Method for Computational Electrodynamics

    James V. Lambers
    2021-07-01
    40617 4083 Pages:781-798
  • High-Order Mesh Generation for Discontinuous Galerkin Methods Based on Elastic Deformation

    Hongqiang Lu, Kai Cao, Lechao Bian, Yizhao Wu
    2018-05-05
    41710 2926 Pages:693-702
  • Stability of Two Conservative, High-Order Fluid-Fluid Coupling Methods

    Jeffrey M. Connors, Robert D. Dolan
    2021-07-01
    64106 4585 Pages:1287-1338
  • Osher Flux with Entropy Fix for Two-Dimensional Euler Equations

    Huajun Zhu, Xiaogang Deng, Meiliang Mao, Huayong Liu, Guohua Tu
    2018-05-05
    41344 2875 Pages:670-692
  • A Comparison of the Performance of Limiters for Runge-Kutta Discontinuous Galerkin Methods

    Hongqiang Zhu, Yue Cheng, Jianxian Qiu
    2013-05-01
    46563 4838 Pages:365-390
  • Local Discontinuous Galerkin Methods with Decoupled Implicit-Explicit Time Marching for the Growth-Mediated Autochemotactic Pattern Formation Model

    Hui Wang, Hui Guo, Jiansong Zhang, Lulu Tian
    2023-12-21
    26526 2309 Pages:208-236
  • High-Order Finite Volume Methods for Aerosol Dynamic Equations

    Ming Cui, Yanxin Su, Dong Liang
    2018-05-05
    41061 3046 Pages:213-235
  • Fourth Order Compact Boundary Value Method for Option Pricing with Jumps

    Spike T. Lee, Hai-Wei Sun
    2021-07-01
    40806 4028 Pages:845-861
  • 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
  • Time-Domain Numerical Solutions of Maxwell Interface Problems with Discontinuous Electromagnetic Waves

    Ya Zhang, Duc Duy Nguyen, Kewei Du, Jin Xu, Shan Zhao
    2018-05-05
    41886 4574 Pages:353-385 Open-access
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