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  • The Unified Coordinate System in Computational Fluid Dynamics

    W. H. Hui
    2007-02-01
    39056 4107 Pages:577-610
  • Numerical Validation for High Order Hyperbolic Moment System of Wigner Equation

    Ruo Li, Tiao Lu, Yanli Wang & Wenqi Yao
    2014-03-05
    41651 4122 Pages:569-595
  • 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
  • Solving Vlasov-Poisson-Fokker-Planck Equations Using $NRxx$ method

    Yanli Wang & Shudao Zhang
    2018-04-09
    41104 3157 Pages:782-807
  • A Numerical Approach for a System of Transport Equations in the Field of Radiotherapy

    Teddy Pichard, Stéphane Brull & Bruno Dubroca
    2018-12-08
    48049 3384 Pages:1097-1126
  • A Well-Balanced Partial Relaxation Scheme for the Two-Dimensional Saint-Venant System

    Xi Chen, Alexander Kurganov
    2023-06-06
    37529 2738 Pages:1432-1465
  • An All-Speed Asymptotic-Preserving Method for the Isentropic Euler and Navier-Stokes Equations

    Jeffrey Haack, Shi Jin & Jian-Guo Liu
    2012-12-01
    40286 4111 Pages:955-980
  • Modeling Two-Phase System in Complex Domains Based on Phase-Field Approach with Interfacial Correction

    Jingwen Wu, Zhijun Tan
    2024-07-29
    160 123 Pages:104-132
  • 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
  • Capturing Vertical Information in Radially Symmetric Flow Using Hyperbolic Shallow Water Moment Equations

    Rik Verbiest, Julian Koellermeier
    2025-09-02
    387 59 Pages:810-848
  • On Singular Closures for the 5-Moment System in Kinetic Gas Theory

    Roman Pascal Schaerer & Manuel Torrilhon
    2020-07-30
    40308 2967 Pages:371-400
  • Galerkin Method for Wave Equations with Uncertain Coefficients

    David Gottlieb & Dongbin Xiu
    2018-03-24
    39791 4193 Pages:505-518
  • A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

    Kailiang Wu, Dongbin Xiu, Xinghui Zhong
    2021-05-25
    48872 3141 Pages:423-447
  • On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws

    Michael Dumbser & Eleuterio F. Toro
    2011-10-01
    39448 4299 Pages:635-671
  • Relaxation Schemes for the $M_1$ Model with Space-Dependent Flux: Application to Radiotherapy Dose Calculation

    Teddy Pichard, Denise Aregba-Driollet, Stéphane Brull, Bruno Dubroca, Martin Frank
    2018-04-03
    40013 4297 Pages:168-191
  • A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

    Xin Liu
    2019-01-10
    45740 3874 Pages:1394-1412
  • Convergence Analysis for Stochastic Collocation Methods to Scalar Hyperbolic Equations with a Random Wave Speed

    Tao Tang & Tao Zhou
    2010-08-01
    40128 4560 Pages:226-248
  • Equilibrium Preserving Space in Discontinuous Galerkin Methods for Hyperbolic Balance Laws

    Jiahui Zhang, Yinhua Xia, Yan Xu
    2025-07-11
    5123 476 Pages:109-155
  • Numerical Study of Partially Conservative Moment Equations in Kinetic Theory

    Julian Koellermeier & Manuel Torrilhon
    2018-04-09
    42998 3150 Pages:981-1011
  • Schemes with Well-Controlled Dissipation. Hyperbolic Systems in Nonconservative Form

    Abdelaziz Beljadid, Philippe G. LeFloch, Siddhartha Mishra, Carlos Parés
    2018-04-09
    42943 3183 Pages:913-946
  • 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
  • A Finite Volume Upwind-Biased Centred Scheme for Hyperbolic Systems of Conservation Laws: Application to Shallow Water Equations

    Guglielmo Stecca, Annunziato Siviglia & Eleuterio F. Toro
    2012-12-01
    39823 3945 Pages:1183-1214
  • Modeling 3D Magma Dynamics Using a Discontinuous Galerkin Method

    Seshu Tirupathi, Jan S. Hesthaven & Yan Liang
    2018-04-03
    41938 4421 Pages:230-246
  • Efficient Preconditioners for a Shock Capturing Space-Time Discontinuous Galerkin Method for Systems of Conservation Laws

    Andreas Hiltebrand & Siddhartha Mishra
    2018-04-02
    40820 3326 Pages:1320-1359
  • Modeling Magma Dynamics with a Mixed Fourier Collocation - Discontinuous Galerkin Method

    Alan R. Schiemenz, Marc A. Hesse & Jan S. Hesthaven
    2011-10-01
    38283 4566 Pages:433-452
  • 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
  • A Sparse Grid Discrete Ordinate Discontinuous Galerkin Method for the Radiative Transfer Equation

    Jianguo Huang, Yue Yu
    2021-08-10
    46892 3055 Pages:1009-1036
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