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  • A Linearized Spectral-Galerkin Method for Three-Dimensional Riesz-Like Space Fractional Nonlinear Coupled Reaction-Diffusion Equations

    Shimin Guo, Wenjing Yan, Liquan Mei, Ying Wang, Lingling Wang
    2021-06-02
    47662 2841 Pages:738-772
  • A New Exponential Compact Scheme for the Two-Dimensional Unsteady Nonlinear Burgers' and Navier-Stokes Equations in Polar Cylindrical Coordinates

    R.K. Mohanty, Li Yuan, Divya Sharma
    2021-01-26
    45196 2614 Pages:488-507
  • Efficient and Accurate Legendre Spectral Element Methods for One-Dimensional Higher Order Problems

    Yang Zhang, Xuhong Yu, Zhongqing Wang
    2021-01-26
    44717 2552 Pages:461-487
  • A Continuous-Stage Modified Leap-Frog Scheme for High-Dimensional Semi-Linear Hamiltonian Wave Equations

    Bin Wang, Xinyuan Wu, Yonglei Fang
    2020-03-16
    44089 2686 Pages:814-844
  • A Vertex-Centered and Positivity-Preserving Finite Volume Scheme for Two-Dimensional Three-Temperature Radiation Diffusion Equations on General Polygonal Meshes

    Shuai Su, Jiming Wu
    2020-03-06
    42666 4106 Pages:220-252
  • A Consistent Fourth-Order Compact Finite Difference Scheme for Solving Vorticity-Stream Function Form of Incompressible Navier-Stokes Equations

    Tao Wang & Tiegang Liu
    2018-09-18
    44447 4820 Pages:312-330
  • Analysis of Hexagonal Grid Finite Difference Methods for Anisotropic Laplacian Related Equations

    Daniel Lee
    2017-10-01
    39515 2736 Pages:562-596
  • Finite Volume Element Methods for Two-Dimensional Three-Temperature Radiation Diffusion Equations

    Yanni Gao, Xiukun Zhao & Yonghai Li
    2016-09-01
    39049 2580 Pages:470-496
  • Difference Approximation of Stochastic Elastic Equation Driven by Infinite Dimensional Noise

    Yinghan Zhang, Xiaoyuan Yang & Ruisheng Qi
    2016-09-01
    38419 4060 Pages:123-146
  • Alternating Direction Implicit Galerkin Finite Element Method for the Two-Dimensional Time Fractional Evolution Equation

    Limei Li & Da Xu
    2014-07-01
    41089 4041 Pages:41-57
  • A New Discontinuous Galerkin Method for Parabolic Equations with Discontinuous Coefficient

    Rongpei Zhang, Xijun Yu, Xia Cui, Xiaohan Long & Tao Feng
    2013-06-01
    39974 3768 Pages:325-342
  • High-Order Accurate Runge-Kutta (Local) Discontinuous Galerkin Methods for One- and Two-Dimensional Fractional Diffusion Equations

    Xia Ji & Huazhong Tang
    2012-05-01
    41602 3617 Pages:333-358
  • Numerical Modeling of One-Dimensional Binary Solidification with a Mushy Layer Evolution

    Daniel Lee, Dmitri Alexandrov & H.-N. Huang
    2018-08-14
    40143 3746 Pages:157-185
  • Second Order Multigrid Methods for Elliptic Problems with Discontinuous Coefficients on an Arbitrary Interface, I: One Dimensional Problems

    Armando Coco & Giovanni Russo
    2012-05-01
    41375 4442 Pages:19-42 Open-access
  • Simulations of Shallow Water Equations by Finite Difference WENO Schemes with Multilevel Time Discretization

    Changna Lu & Gang Li
    2011-04-01
    41629 3511 Pages:505-524
  • Discrete Maximum Principle and a Delaunay-Type Mesh Condition for Linear Finite Element Approximations of Two-Dimensional Anisotropic Diffusion Problems

    Weizhang Huang
    2011-04-01
    40438 3974 Pages:319-334
  • Simulating Three-Dimensional Free Surface Viscoelastic Flows Using Moving Finite Difference Schemes

    Yubo Zhang & Tao Tang
    2011-04-01
    39423 4014 Pages:92-112
  • Three-Dimensional Finite Element Superconvergent Gradient Recovery on Par6 Patterns

    Jie Chen & Desheng Wang
    2010-03-01
    40510 3697 Pages:178-194
  • 3D Multiphase Piecewise Constant Level Set Method Based on Graph Cut Minimization

    Tiril P. Gurholt & Xuecheng Tai
    2009-02-01
    41064 3973 Pages:403-420
  • Spectral Method for Three-Dimensional Nonlinear Klein-Gordon Equation by Using Generalized Laguerre and Spherical Harmonic Functions

    Xiao-Yong Zhang, Ben-Yu Guo & Yu-Jian Jiao
    2018-08-14
    38769 3876 Pages:43-64
  • Development and Comparison of Numerical Fluxes for LWDG Methods

    Jianxian Qiu
    2008-01-01
    38316 3623 Pages:435-459
  • Fourth-Order Splitting Methods for Time-Dependant Differential Equations

    Jürgen Geiser
    2008-01-01
    39093 3489 Pages:321-339
  • A Highly Efficient Adaptive Mesh Refinement Algorithm for the 1D Schrödinger-Poisson Problem

    Meili Guo, Haiyan Jiang, Tiao Lu, Wenqi Yao
    2025-10-22
    3898 252 Pages:881-902
  • Sparse Wavelet Element Method for Piezoelectric Equations in an Unbounded Domain

    Jianguo Huang, Likun Qiu
    2025-09-01
    4684 362 Pages:733-755
  • On the Criteria for Online Updating of Basis Functions for Model Order Reduction Techniques

    Han Zhang, Zhiyong Wang, Zihao Mou, Taidong Niu, Helin Gong
    2025-09-01
    4794 345 Pages:619-649
  • Analysis and Efficient Implementation of Quadratic Spline Collocation ADI Methods for Variable-Order Time-Fractional Mobile-Immobile Diffusion Equations

    Jun Liu, Hongfei Fu, Bingyin Zhang, Jiansong Zhang
    2025-04-06
    6698 552 Pages:226-258
  • A Finite Volume Simple WENO Scheme for Convection-Diffusion Equations

    Pufan Deng, Gang Peng, Xinlong Feng, Dongmi Luo, Yibing Chen
    2024-12-11
    12150 1297 Pages:882-903
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