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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
    40704 4642 Pages:599-620
  • Fourth Order Difference Approximations for Space Riemann-Liouville Derivatives Based on Weighted and Shifted Lubich Difference Operators

    Minghua Chen, Weihua Deng
    2014-08-03
    42379 4322 Pages:516-540
  • A Compact Third-Order Gas-Kinetic Scheme for Compressible Euler and Navier-Stokes Equations

    Liang Pan, Kun Xu
    2020-07-31
    38605 3075 Pages:985-1011
  • 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
    46330 3486 Pages:481-507
  • A High-Order Accurate Gas-Kinetic Scheme for One- and Two-Dimensional Flow Simulation

    Na Liu, Huazhong Tang
    2020-07-31
    41538 3991 Pages:911-943
  • High-Order and High Accurate CFD Methods and Their Applications for Complex Grid Problems

    Xiaogang Deng, Meiliang Mao, Guohua Tu, Hanxin Zhang, Yifeng Zhang
    2020-07-31
    40668 4885 Pages:1081-1102 Open-access
  • Performance Enhancement for High-Order Gas-Kinetic Scheme Based on WENO-Adaptive-Order Reconstruction

    Xing Ji, Kun Xu
    2020-06-05
    50090 3410 Pages:539-590
  • 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
    9021 503 Pages:1327-1357
  • 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
    45853 3332 Pages:1030-1058
  • High-Order Unified Gas-Kinetic Scheme

    Gyuha Lim, Yajun Zhu, Kun Xu
    2022-10-28
    45935 3288 Pages:951-979
  • On False Accuracy Verification of UMUSCL Scheme

    Hiroaki Nishikawa
    2021-08-10
    48623 3225 Pages:1037-1060
  • High-Order Vertex-Centered U-MUSCL Schemes for Turbulent Flows

    H. Q. Yang, Robert E. Harris
    2018-09-17
    45530 3471 Pages:356-382
  • 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
    28121 2044 Pages:1-29
  • 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
    67893 5545 Pages:123-151
  • 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
    33185 2779 Pages:1177-1214
  • Directly Simulation of Second Order Hyperbolic Systems in Second Order Form via the Regularization Concept

    Hassan Yousefi, Seyed Shahram Ghorashi, Timon Rabczuk
    2018-04-04
    42386 4768 Pages:86-135
  • Analyses and Applications of the Second-Order Cross Correlation in the Passive Imaging

    Lingdi Wang, Wenbin Chen, Jin Cheng
    2020-07-31
    41218 3326 Pages:1191-1220
  • 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
    47785 3136 Pages:1150-1184
  • A New Family of High Order Unstructured MOOD and ADER Finite Volume Schemes for Multidimensional Systems of Hyperbolic Conservation Laws

    Raphael Loubere, Michael Dumbser, Steven Diot
    2014-12-08
    39686 3897 Pages:718-763
  • Variable High Order Multiblock Overlapping Grid Methods for Mixed Steady and Unsteady Multiscale Viscous Flows

    Bjorn Sjogreen, H. C. Yee
    2018-04-11
    41372 3439 Pages:730-744
  • 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
    46918 3585 Pages:311-346
  • 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
    46926 5278 Pages:198-229
  • A Third Order BDF Energy Stable Linear Scheme for the No-Slope-Selection Thin Film Model

    Yonghong Hao, Qiumei Huang, Cheng Wang
    2021-01-13
    47416 3531 Pages:905-929
  • High-Order Interpolation Algorithms for Charge Conservation in Particle-in-Cell Simulations

    Jinqing Yu, Xiaolin Jin, Weimin Zhou, Bin Li, Yuqiu Gu
    2013-08-05
    43781 4829 Pages:1134-1150 Open-access
  • 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
    4621 503 Pages:348-374
  • A Two-Dimensional Third-Order CESE Scheme for Ideal MHD Equations

    Yufen Zhou, Xueshang Feng
    2023-08-14
    35300 3692 Pages:94-115
  • A Third Order Conservative Lagrangian Type Scheme on Curvilinear Meshes for the Compressible Euler Equations

    Juan Cheng, Chi-Wang Shu
    2008-11-05
    39318 4598 Pages:1008-1024
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