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Advances in Applied Mathematics and Mechanics
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  • Symplectic Euler Method for Nonlinear High Order Schrödinger Equation with a Trapped Term

    Fangfang Fu, Linghua Kong, Lan Wang
    2018-08-10
    41056 4093 Pages:699-710
  • 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
  • Numerical Solution of the Coupled System of Nonlinear Fractional Ordinary Differential Equations

    Xiaojun Zhou, Chuanju Xu
    2018-08-04
    42161 3083 Pages:574-595
  • 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
  • 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
  • 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
  • A High-Order NVD/TVD-Based Polynomial Upwind Scheme for the Modified Burgers' Equations

    Wei Gao, Yang Liu, Bin Cao, Hong Li
    2012-04-01
    41216 4342 Pages:617-635
  • High-Order Numerical Approximation and Error Estimation for Fourth-Order Equation in Complex Cylindrical Domain

    Xuenan Zhao, Jing An, Juan Zhang
    2025-11-28
    93 3
  • 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
  • The Discontinuous Galerkin Method by Patch Reconstruction for Helmholtz Problems

    Di Li, Min Liu, Xiliang Lu, Jerry Zhijian Yang
    2022-10-24
    44932 3896 Pages:30-48
  • WENO Interpolation-Based and Upwind-Biased Free-Stream Preserving Nonlinear Schemes

    Qin Li, Sun Dong, Fengyuan Xu
    2021-11-17
    49385 4068 Pages:1441-1484
  • 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 Truly Boundary-Only Meshfree Method Applied to Kirchhoff Plate Bending Problems

    Zhuojia Fu, Wen Chen
    2018-08-10
    41379 3926 Pages:341-352
  • 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
    38406 2884 Pages:485-521
  • 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
  • Compact Finite Difference Scheme for the Fourth-Order Fractional Subdiffusion System

    Seakweng Vong, Zhibo Wang
    2014-06-01
    44256 4570 Pages:419-435
  • High-Resolution and High-Precision Weighted Essentially Non-Oscillatory Scheme for Compressible Flow Simulations

    Shujiang Tang
    2024-05-14
    25085 2340 Pages:980-1008
  • A Note on the Generating Function Method

    Yonghui Bo, Wenjun Cai, Yushun Wang
    2021-04-13
    43206 2988 Pages:982-1004
  • Effect of Nonuniform Grids on High-Order Finite Difference Method

    Dan Xu, Xiaogang Deng, Yaming Chen, Guangxue Wang, Yidao Dong
    2018-05-05
    40777 2846 Pages:1012-1034
  • 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
    44910 3214 Pages:827-849
  • 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
  • Sinc-Multistep Schemes for Forward Backward Stochastic Differential Equations

    Xu Wang, Weidong Zhao
    2023-02-24
    38902 3360 Pages:737-768
  • High Order Well-Balanced Finite Difference AWENO Scheme for Ripa and Pollutant Transport Systems

    Yue Liu, Zhen Gao, Peng Li, Yaguang Gu
    2024-12-31
    12913 1204 Pages:554-579
  • 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
  • Noise Prediction in Subsonic Flow Using Seventh-Order Dissipative Compact Scheme on Curvilinear Mesh

    Meiliang Mao, Yi Jiang, Xiaogang Deng, Huayong Liu
    2018-05-05
    41457 3093 Pages:236-256
  • High-Order Finite Volume Methods for Aerosol Dynamic Equations

    Ming Cui, Yanxin Su, Dong Liang
    2018-05-05
    41061 3046 Pages:213-235
  • A New Well-Balanced Finite Volume CWENO Scheme for Shallow Water Equations over Bottom Topography

    Wei Guo, Ziming Chen, Shouguo Qian, Gang Li, Qiang Niu
    2023-10-11
    32079 2815 Pages:1515-1539
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