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  • A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter

    Ziyao Sun, Honghui Teng & Feng Xiao
    2020-07-31
    38999 3062 Pages:901-930
  • High Order Deep Neural Network for Solving High Frequency Partial Differential Equations

    Zhipeng Chang, Ke Li, Xiufen Zou, Xueshuang Xiang
    2022-01-27
    46148 3482 Pages:370-397
  • A Simple, Fast and Stabilized Flowing Finite Volume Method for Solving General Curve Evolution Equations

    Karol Mikula, Daniel Ševčovič, Martin Balažovjech
    2010-07-01
    41130 4288 Pages:195-211
  • On the Construction of Well-Conditioned Hierarchical Bases for $\mathcal{H}(div)$-Conforming $\mathbb{R}^n$ Simplicial Elements

    Jianguo Xin, Wei Cai & Nailong Guo
    2013-09-05
    39809 4040 Pages:621-638
  • High Order Finite Difference WENO Methods with Unequal-Sized Sub-Stencils for the Degasperis-Procesi Type Equations

    Jianfang Lin, Yan Xu, Huiwen Xue, Xinghui Zhong
    2022-03-03
    45318 3173 Pages:913-946
  • On the Order of Accuracy and Numerical Performance of Two Classes of Finite Volume WENO Schemes

    Rui Zhang, Mengping Zhang & Chi-Wang Shu
    2011-03-05
    39890 4279 Pages:807-827
  • Numerical Simulation of Time-Harmonic Waves in Inhomogeneous Media Using Compact High Order Schemes

    Steven Britt, Semyon Tsynkov & Eli Turkel
    2011-03-05
    39156 4029 Pages:520-541
  • Higher-Order Rytov Approximation for Large-Scale and Strong Perturbation Media

    Bo Feng, Ru-Shan Wu, Huazhong Wang
    2020-06-05
    52299 4826 Pages:98-110
  • Moment-Based Multi-Resolution HWENO Scheme for Hyperbolic Conservation Laws

    Jiayin Li, Chi-Wang Shu, Jianxian Qiu
    2022-08-11
    302996 3331 Pages:364-400
  • High-Order Gas-Kinetic Scheme in Curvilinear Coordinates for the Euler and Navier-Stokes Solutions

    Liang Pan, Kun Xu
    2020-08-27
    49032 3288 Pages:1321-1351
  • A Fourth-Order Upwinding Embedded Boundary Method (UEBM) for Maxwell's Equations in Media with Material Interfaces: Part I

    S. Deng & W. Cai
    2006-01-01
    38445 3768 Pages:744-764
  • An Energy Stable BDF2 Fourier Pseudo-Spectral Numerical Scheme for the Square Phase Field Crystal Equation

    Kelong Cheng, Cheng Wang, Steven M. Wise
    2019-08-27
    50716 3598 Pages:1335-1364
  • Efficient, Accurate and Energy Stable Discontinuous Galerkin Methods for Phase Field Models of Two-Phase Incompressible Flows

    Ruihan Guo, Yan Xu
    2019-07-02
    49455 3145 Pages:1224-1248
  • High Order Finite Difference Scheme based on DG Boundary Treatment (FDbDG)

    Kun Wang, Jian Cheng & Tiegang Liu
    2019-01-10
    47404 3915 Pages:1413-1445
  • Reconstructed Discontinuous Galerkin Methods for Hyperbolic Diffusion Equations on Unstructured Grids

    Jialin Lou, Xiaodong Liu, Hong Luo & Hiroaki Nishikawa
    2019-01-10
    50928 4058 Pages:1302-1327
  • Efficient Energy-Stable Parametric Finite Element Methods for Surface Diffusion Flow and Applications in Solid-State Dewetting

    Meng Li, Yihang Guo, Jingjiang Bi
    2025-08-23
    6319 430 Pages:729-765
  • Effect of Geometric Conservation Law on Improving Spatial Accuracy for Finite Difference Schemes on Two-Dimensional Nonsmooth Grids

    Meiliang Mao, Huajun Zhu, Xiaogang Deng, Yaobing Min & Huayong Liu
    2018-04-03
    39697 3059 Pages:673-706
  • An Improved Formulation for Hybridizable Discontinuous Galerkin Fluid-Structure Interaction Modeling with Reduced Computational Expense

    Jason P. Sheldon, Scott T. Miller & Jonathan S. Pitt
    2018-09-17
    45301 3773 Pages:1279-1299
  • Stabilized Predictor-Corrector Schemes for Gradient Flows with Strong Anisotropic Free Energy

    Jie Shen & Jie Xu
    2018-09-17
    48110 4778 Pages:635-654 Open-access
  • High-Order Hybrid WCNS-CPR Schemes on Hybrid Meshes with Curved Edges for Conservation Laws I: Spatial Accuracy and Geometric Conservation Laws

    Huajun Zhu, Zhenguo Yan, Huayong Liu, Meiliang Mao & Xiaogang Deng
    2018-08-21
    47966 3524 Pages:1355-1392
  • High-Order Low Dissipation Conforming Finite-Element Discretization of the Maxwell Equations

    Sébastien Jund, Stéphanie Salmon & Eric Sonnendrücker
    2012-11-01
    42162 3946 Pages:863-892
  • A Second-Order Energy Stable BDF Numerical Scheme for the Cahn-Hilliard Equation

    Yue Yan, Wenbin Chen, Cheng Wang & Steven M. Wise
    2018-08-21
    51603 3339 Pages:572-602
  • A Third Order Adaptive ADER Scheme for One Dimensional Conservation Laws

    Yaguang Gu & Guanghui Hu
    2017-09-02
    44458 3194 Pages:829-851
  • A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

    S. Qamar & G. Warnecke
    2006-01-01
    38426 3996 Pages:449-478
  • A Symmetric Direct Discontinuous Galerkin Method for the Compressible Navier-Stokes Equations

    Huiqiang Yue, Jian Cheng & Tiegang Liu
    2018-04-09
    42581 3248 Pages:375-392
  • Efficient Time-Stepping/Spectral Methods for the Navier-Stokes-Nernst-Planck-Poisson Equations

    Xiaoling Liu & Chuanju Xu
    2018-04-09
    41899 3392 Pages:1408-1428
  • High-Order Accurate Entropy Stable Finite Difference Schemes for the Compressible Euler Equations with the van der Waals Equation of State on Adaptive Moving Meshes

    Shangting Li, Huazhong Tang
    2025-08-08
    4598 461 Pages:538-574
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