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  • High Order Asymptotic Preserving Well-Balanced Finite Difference WENO Schemes for All-Mach Full Euler Equations with Gravity

    Guanlan Huang, Yulong Xing, Tao Xiong
    2025-09-05
    3826 373 Pages:1130-1172
  • A High-Order Discontinuous Galerkin Solver for Helically Symmetric Flows

    Dominik Dierkes, Florian Kummer, Dominik Plümacher
    2021-04-30
    46354 4073 Pages:288-320
  • Capturing Near-Equilibrium Solutions: A Comparison Between High-Order Discontinuous Galerkin Methods and Well-Balanced Schemes

    Maria Han Veiga, David A. Velasco-Romero, Remi Abgrall, Romain Teyssier
    2019-02-25
    46252 5281 Pages:1-34
  • A Third Order Adaptive ADER Scheme for One Dimensional Conservation Laws

    Yaguang Gu, Guanghui Hu
    2017-09-02
    44546 3231 Pages:829-851
  • Extension of the High-Order Space-Time Discontinuous Galerkin Cell Vertex Scheme to Solve Time Dependent Diffusion Equations

    Shuangzhang Tu, Gordon W. Skelton, Qing Pang
    2012-11-01
    38735 4069 Pages:1503-1524
  • Analysis of High-Order Absorbing Boundary Conditions for the Schrödinger Equation

    Jiwei Zhang, Zhizhong Sun, Xiaonan Wu, Desheng Wang
    2011-10-01
    38939 3929 Pages:742-766
  • High Order Compact Schemes in Projection Methods for Incompressible Viscous Flows

    Michel Fournie, Alain Rigal
    2011-09-01
    38270 3892 Pages:994-1019
  • 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
    45857 3332 Pages:1030-1058
  • A New Type of High-Order WENO Schemes for Hamilton-Jacobi Equations on Triangular Meshes

    Jun Zhu, Jianxian Qiu
    2020-07-30
    44986 3882 Pages:897-920
  • Simulation of Inviscid Compressible Flows Using PDE Transform

    Langhua Hu, Siyang Yang, Guo-Wei Wei
    2014-11-08
    43315 5658 Pages:1201-1238
  • Role of Fluxes in High-Order Godunov Schemes

    Matania Ben-Artzi
    2026-05-01
    177 33 Pages:1405-1420
  • On the Anisotropic Gaussian Velocity Closure for Inertial-Particle Laden Flows

    Aymeric Vié, François Doisneau, Marc Massot
    2018-04-02
    42687 4443 Pages:1-46
  • Continuum Formulation for Non-Equilibrium Shock Structure Calculation

    K. Xu & E. Josyula
    2006-01-01
    233 105 Pages:425-448
  • Continuum Formulation for Non-Equilibrium Shock Structure Calculation

    Kun Xu, Eswar Josyula
    2006-01-01
    39219 4011 Pages:425-448
  • Dissipative and Conservative Local Discontinuous Galerkin Methods for the Fornberg-Whitham Type Equations

    Qian Zhang, Yan Xu, Chi-Wang Shu
    2021-05-25
    50984 3313 Pages:321-356
  • Mortar DG Method with Staggered Hybridization for Rayleigh Waves Simulation

    Jie Du, Eric Chung
    2020-11-26
    46753 4403 Pages:111-127
  • Troubled-Cell Indicator Based on Mean Value Property for Hybrid WENO Schemes

    Kunmin Sung, Youngsoo Ha, Myungjoo Kang
    2020-02-23
    50183 3380 Pages:949-975
  • A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

    Xin Liu
    2019-01-10
    45930 3933 Pages:1394-1412
  • 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
    67896 5547 Pages:123-151
  • Fast Evaluation of the Caputo Fractional Derivative and Its Applications to Fractional Diffusion Equations: A Second-Order Scheme

    Yonggui Yan, Zhi-Zhong Sun, Jiwei Zhang
    2017-10-02
    44557 3492 Pages:1028-1048
  • Runge-Kutta Discontinuous Galerkin Method with a Simple and Compact Hermite WENO Limiter

    Jun Zhu, Xinghui Zhong, Chi-Wang Shu, Jianxian Qiu
    2018-04-04
    40875 3204 Pages:944-969
  • Divergence-Free WENO Reconstruction-Based Finite Volume Scheme for Solving Ideal MHD Equations on Triangular Meshes

    Zhiliang Xu, Dinshaw S. Balsara, Huijing Du
    2018-04-04
    41166 3205 Pages:841-880
  • Simulation of Two-Dimensional Scramjet Combustor Reacting Flow Field Using Reynolds Averaged Navier-Stokes WENO Solver

    Juan-Chen Huang, Yu-Hsuan Lai, Jeng-Shan Guo, Jaw-Yen Yang
    2020-07-31
    38699 3039 Pages:1181-1210
  • An Exponential-Free Runge–Kutta Framework for Developing Third-Order Unconditionally Energy Stable Schemes for the Cahn–Hilliard Equation

    Haifeng Wang, Jingwei Sun, Hong Zhang, Xu Qian, Songhe Song
    2026-04-10
    103 19 Pages:199-238
  • High Order Finite Difference Hermite WENO Fixed-Point Fast Sweeping Method for Static Hamilton-Jacobi Equations

    Yupeng Ren, Yulong Xing, Jianxian Qiu
    2021-12-06
    47623 3924 Pages:154-187
  • Efficient Semi-Lagrangian Vlasov-Maxwell Simulations of High Order Harmonic Generation from Relativistic Laser-Plasma Interactions

    Götz Lehmann
    2018-04-04
    40873 3215 Pages:583-602
  • A Flexible Boundary Procedure for Hyperbolic Problems: Multiple Penalty Terms Applied in a Domain

    Jan Nordstrom, Qaisar Abbas, Brittany A. Erickson, Hannes Frenander
    2014-08-03
    42544 4070 Pages:541-570
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