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Advances in Applied Mathematics and Mechanics
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  • 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
  • Complex Pattern Formations by Spatial Varying Parameters

    Siqing Li, Leevan Ling
    2021-07-01
    48768 4358 Pages:1327-1352
  • An Inverse Problem with the Final Overdetermination for the Mean Field Games System

    Michael V. Klibanov, Jingzhi Li, Hongyu Liu
    2025-10-14
    4442 275 Pages:189-221
  • Collocation Methods for a Class of Volterra Integral Functional Equations with Multiple Proportional Delays

    Kai Zhang, Jie Li
    2012-04-01
    41071 3999 Pages:575-602
  • 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
  • Two-Phase Image Inpainting: Combine Edge-Fitting with PDE Inpainting

    Meiqing Wang, Chensi Huang, Chao Zeng, Choi-Hong Lai
    2021-07-01
    44446 4413 Pages:769-779
  • A Discontinuous Galerkin Method Based on a BGK Scheme for the Navier-Stokes Equations on Arbitrary Grids

    Hong Luo, Luqing Luo, Kun Xu
    2018-08-10
    41573 3914 Pages:301-318
  • Boundary Vorticity Flux and Engineering Flow Management

    Jiezhi Wu, Hong Wu, Qiushi Li
    2018-08-10
    42460 4353 Pages:353-366
  • Investigation of Taylor-Görtler-like Vortices Using the Parallel Consistent Splitting Scheme

    Yong Hong Kuo, Kawi-Lam Wong, Jeff Chak-Fu Wong
    2021-07-01
    42250 4504 Pages:799-815
  • Two New Energy-Preserving Algorithms for Generalized Fifth-Order KdV Equation

    Qi Hong, Yushun Wang, Qikui Du
    2018-05-05
    45435 3049 Pages:1206-1224
  • Hamiltonian Boundary Value Method for the Nonlinear Schrödinger Equation and the Korteweg-de Vries Equation

    Mingzhan Song, Xu Qian, Hong Zhang, Songhe Song
    2018-05-05
    42063 2991 Pages:868-886
  • 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
  • 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
    39083 4971 Pages:402-427
  • A New Reduced Basis Method for Parabolic Equations Based on Single-Eigenvalue Acceleration

    Qijia Zhai, Qingguo Hong, Xiaoping Xie
    2024-11-01
    15758 1386 Pages:1328-1357
  • 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
  • Numerical Simulation of Non-Linear Schrödinger Equations in Arbitrary Domain by the Localized Method of Approximate Particular Solution

    Yongxing Hong, Jun Lu, Ji Lin, Wen Chen
    2019-01-04
    46110 4988 Pages:108-131
  • 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
    47079 6152 Pages:114-137
  • Adaptive Finite Element Solutions of a Diffusion Model for Drug Release in PLGA Microspheres

    Hongyu Chen, Guanghui Hu, Defang Ouyang
    2025-11-19
    209 3
  • A Fast Spatial Two-Grid Raviart-Thomas MFE Algorithm for the Nonlinear Time Fractional Diffusion Equations on Temporal Graded Mesh

    Zhichao Fang, Shubin Dong, Jie Zhao, Hong Li
    2025-11-28
    93 3
  • The Exponential Transformation Based Lattice Boltzmann Model for Convection-Diffusion Equation

    Ting Zhang, Shuqi Cui, Ning Hong, Baochang Shi
    2024-12-02
    14127 1029 Pages:224-239
  • Accurate Static and Dynamic Analysis Using Unstructured Meshes for Complicated Geometry Problems

    Guangze Tang, Hong Yang, She Li, Xin Hu, Xiangyang Cui
    2025-09-29
    5035 246 Pages:1813-1840
1 - 21 of 21 items
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