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  • Comparison of Fifth-Order WENO Scheme and Finite Volume WENO-Gas-Kinetic Scheme for Inviscid and Viscous Flow Simulation

    Jun Luo, Lijun Xuan & Kun Xu
    2013-09-05
    40547 4586 Pages:599-620
  • Performance Enhancement for High-Order Gas-Kinetic Scheme Based on WENO-Adaptive-Order Reconstruction

    Xing Ji, Kun Xu
    2020-06-05
    49937 3352 Pages:539-590
  • On False Accuracy Verification of UMUSCL Scheme

    Hiroaki Nishikawa
    2021-08-10
    48410 3161 Pages:1037-1060
  • High Order Multiscale Methods for Advection-Diffusion Equation in Highly Oscillatory Regimes: Application to Surfactant Diffusion and Generalization to Arbitrary Domains

    Clarissa Astuto
    2025-05-29
    195 57 Pages:1327-1357
  • A Compact Third-Order Gas-Kinetic Scheme for Compressible Euler and Navier-Stokes Equations

    Liang Pan & Kun Xu
    2020-07-31
    38454 3013 Pages:985-1011
  • Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators

    Minghua Chen & Weihua Deng
    2014-08-03
    42181 4236 Pages:516-540
  • High-Order Vertex-Centered U-MUSCL Schemes for Turbulent Flows

    H. Q. Yang & Robert E. Harris
    2018-09-17
    45359 3408 Pages:356-382
  • A High Order Positivity-Preserving Discontinuous Galerkin Remapping Method Based on a Moving Mesh Solver for ALE Simulation of the Compressible Fluid Flow

    Xiaolu Gu, Juan Cheng, Chi-Wang Shu
    2023-12-11
    32949 2710 Pages:1177-1214
  • A High-Order Accurate Gas-Kinetic Scheme for One- and Two-Dimensional Flow Simulation

    Na Liu & Huazhong Tang
    2020-07-31
    41368 3926 Pages:911-943
  • A Third Order Conservative Lagrangian Type Scheme on Curvilinear Meshes for the Compressible Euler Equations

    Juan Cheng & Chi-Wang Shu
    2008-11-05
    39130 4526 Pages:1008-1024
  • High Order Compact Hermite Reconstructions and Their Application in the Improved Two-Stage Fourth Order Time-Stepping Framework for Hyperbolic Problems: Two-Dimensional Case

    Ang Li, Jiequan Li, Juan Cheng, Chi-Wang Shu
    2024-07-29
    154 113 Pages:1-29
  • A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

    Raphaël Loubère, Michael Dumbser & Steven Diot
    2014-12-08
    39523 3826 Pages:718-763
  • High-Order Runge-Kutta Discontinuous Galerkin Methods with a New Type of Multi-Resolution WENO Limiters on Tetrahedral Meshes

    Jun Zhu, Chi-Wang Shu, Jianxian Qiu
    2021-02-25
    45622 3272 Pages:1030-1058
  • High-Order Unified Gas-Kinetic Scheme

    Gyuha Lim, Yajun Zhu, Kun Xu
    2022-10-28
    45690 3230 Pages:951-979
  • Construction of the High Order Accurate Generalized Finite Difference Schemes for Inviscid Compressible Flows

    Xue-Li Li, Yu-Xin Ren & Wanai Li
    2018-10-11
    46151 3432 Pages:481-507
  • High-Order Multidomain Spectral Difference Method for the Navier-Stokes Equations on Unstructured Hexahedral Grids

    Y. Sun, Z. J. Wang & Y. Liu
    2018-03-24
    39704 3857 Pages:310-333
  • A High Order Adaptive Time-Stepping Strategy and Local Discontinuous Galerkin Method for the Modified Phase Field Crystal Equation

    Ruihan Guo & Yan Xu
    2018-09-17
    67668 5387 Pages:123-151
  • A Class of Hybrid DG/FV Methods for Conservation Laws III: Two-Dimensional Euler Equations

    Laiping Zhang, Wei Liu, Lixin He & Xiaogang Deng
    2012-12-01
    40690 4505 Pages:284-314
  • Asymptotic-Preserving Discrete Schemes for Non-Equilibrium Radiation Diffusion Problem in Spherical and Cylindrical Symmetrical Geometries

    Xia Cui, Zhi-Jun Shen & Guang-Wei Yuan
    2018-07-03
    46746 5168 Pages:198-229
  • A 2D Fourth-Order CESE Scheme for Solving the Ideal MHD Equations

    Yufen Zhou, Xueshang Feng, Fang Shen, Liping Yang, Man Zhang
    2025-08-08
    4333 423 Pages:348-374
  • Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction

    Shu-Cun Li, Huazhong Tang
    2021-08-10
    47581 3080 Pages:1150-1184
  • Variable High Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows

    Björn Sjögreen & H. C. Yee
    2018-04-11
    41196 3378 Pages:730-744
  • Reconstructed Discontinuous Galerkin Methods for Hyperbolic Diffusion Equations on Unstructured Grids

    Jialin Lou, Xiaodong Liu, Hong Luo & Hiroaki Nishikawa
    2019-01-10
    50840 4033 Pages:1302-1327
  • 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
    47875 3503 Pages:1355-1392
  • A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

    S. Qamar & G. Warnecke
    2006-01-01
    38364 3964 Pages:449-478
  • A Space-Time Conservative Method for Hyperbolic Systems with Stiff and Non-Stiff Source Terms

    S. Qamar & G. Warnecke
    2006-01-01
    63 34 Pages:449-478
  • Vector Penalty-Projection Methods for Open Boundary Conditions with Optimal Second-Order Accuracy

    Philippe Angot, Rima Cheaytou
    2019-07-02
    45404 4508 Pages:1008-1038 Open-access
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