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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
  • High-Order Low-Dissipation Shock-Resolving TENO-THINC Schemes for Hyperbolic Conservation Laws

    Shinichi Takagi, Hiro Wakimura, Lin Fu, Feng Xiao
    2023-11-08
    31304 2655 Pages:1043-1078
  • 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
  • Non-Oscillatory Hierarchical Reconstruction for Central and Finite Volume Schemes

    Y. Liu, C.-W. Shu, E. Tadmor & M. Zhang
    2007-02-01
    38147 3894 Pages:933-963
  • Low-Dissipation Central-Upwind Schemes for Elasticity in Heterogeneous Media

    Alexander Kurganov, Zepei Liu, Michael Pollack, Ruixiao Xin
    2025-07-11
    4948 469 Pages:156-180
  • High-Order Conservative Asymptotic-Preserving Schemes for Modeling Rarefied Gas Dynamical Flows with Boltzmann-BGK Equation

    Manuel A. Diaz, Min-Hung Chen & Jaw-Yen Yang
    2020-07-31
    38228 2923 Pages:1012-1049
  • The Effects of Spatial Reconstruction and Flux Solver on the Performance of High-Order Finite-Volume Compressible Flow Solvers

    Chengxiang Li, Xing Ji, Kun Xu, Lian-Ping Wang
    2025-07-11
    5033 504 Pages:37-73
  • 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
  • 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
  • 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
    4416 398 Pages:538-574
  • 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
    45191 3103 Pages:913-946
  • Central WENO Subcell Finite Volume Limiters for ADER Discontinuous Galerkin Schemes on Fixed and Moving Unstructured Meshes

    Walter Boscheri, Matteo Semplice & Michael Dumbser
    2018-10-11
    46588 3514 Pages:311-346
  • 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
  • Quinpi: Integrating Stiff Hyperbolic Systems with Implicit High Order Finite Volume Schemes

    Gabriella Puppo, Matteo Semplice, Giuseppe Visconti
    2024-07-29
    152 117 Pages:30-70
  • Genuinely Multidimensional Physical-Constraints-Preserving Finite Volume Schemes for the Special Relativistic Hydrodynamics

    Dan Ling, Huazhong Tang
    2023-11-08
    31038 2626 Pages:955-992
  • High Order Conservative Semi-Lagrangian Scheme for the BGK Model of the Boltzmann Equation

    Sebastiano Boscarino, Seung-Yeon Cho, Giovanni Russo, Seok-Bae Yun
    2020-11-26
    46890 4389 Pages:1-56
  • Finite-Volume TENO Scheme with a New Cell-Interface Flux Evaluation Strategy for Unstructured Meshes

    Tian Liang, Lin Fu
    2024-05-06
    35287 2667 Pages:938-972
  • Trigonometric WENO Schemes for Hyperbolic Conservation Laws and Highly Oscillatory Problems

    Jun Zhu & Jianxian Qiu
    2010-08-01
    39920 3932 Pages:1242-1263
  • On False Accuracy Verification of UMUSCL Scheme

    Hiroaki Nishikawa
    2021-08-10
    48410 3161 Pages:1037-1060
  • A Slope Constrained 4th Order Multi-Moment Finite Volume Method with WENO Limiter

    Ziyao Sun, Honghui Teng & Feng Xiao
    2020-07-31
    38930 3038 Pages:901-930
  • First-Principle-Like Reinforcement Learning of Nonlinear Numerical Schemes for Conservation Laws

    Hao-Chen Wang, Meilin Yu, Heng Xiao
    2025-11-07
    2687 152 Pages:1-28
  • 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
  • Arbitrary-Lagrangian-Eulerian One-Step WENO Finite Volume Schemes on Unstructured Triangular Meshes

    Walter Boscheri & Michael Dumbser
    2013-11-05
    40413 3938 Pages:1174-1206
  • WENO Schemes for Mixed-Element Unstructured Meshes

    V. A. Titarev, P. Tsoutsanis & D. Drikakis
    2010-08-01
    46739 4317 Pages:585-609
  • 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
  • A Novel High-Order Shock-Capturing Limiter for RKDG Method on Unstructured Meshes via TENO Selection Strategies

    Haohan Huang, Tian Liang, Mingduo Yuan, Lin Fu
    2025-11-28
    935 45 Pages:387-416
  • On the Solution Accuracy Downstream of Shocks When Using Godunov-Type Schemes. I. Sources of Errors in One-Dimensional Problems

    Alexander V. Rodionov
    2023-10-07
    33949 2682 Pages:749-786
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