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  • Conservative and Dissipative Local Discontinuous Galerkin Methods for Korteweg-de Vries Type Equations

    Qian Zhang, Yinhua Xia
    2018-10-11
    45921 3465 Pages:532-563
  • A Direct ALE Multi-Moment Finite Volume Scheme for the Compressible Euler Equations

    Peng Jin, Xi Deng, Feng Xiao
    2018-09-17
    46298 3618 Pages:1300-1325
  • A Coupled High-Order Continuous and Discontinuous Galerkin Finite Element Scheme for the Davey-Stewartson System

    Jinyang Lu, Qi Tao, Yan Xu
    2025-04-27
    9579 576 Pages:975-1007
  • A Second-Order Path-Conservative Method for the Compressible Non-Conservative Two-Phase Flow

    Yueling Jia, Song Jiang, Baolin Tian, Eleuterio F. Toro
    2018-09-17
    45363 3463 Pages:309-331
  • Preconditioned Iterative Methods for Two-Dimensional Space-Fractional Diffusion Equations

    Xiao-Qing Jin, Fu-Rong Lin, Zhi Zhao
    2018-04-03
    38776 3171 Pages:469-488
  • General Synthetic Iterative Scheme for Unsteady Rarefied Gas Flows

    Jianan Zeng, Wei Su, Lei Wu
    2023-08-14
    33855 3435 Pages:173-207
  • A TV-Based Iterative Regularization Method for the Solutions of Thermal Convection Problems

    Eric T. Chung, Jeff C. -F. Wong
    2013-10-05
    39580 3832 Pages:1120-1146
  • Improvement on Spherical Symmetry in Two-Dimensional Cylindrical Coordinates for a Class of Control Volume Lagrangian Schemes

    Juan Cheng, Chi-Wang Shu
    2020-07-31
    39903 4102 Pages:1144-1168
  • Staggered Lagrangian Discretization Based on Cell-Centered Riemann Solver and Associated Hydrodynamics Scheme

    Pierre-Henri Maire, Raphael Loubere, Pavel Vachal
    2011-10-01
    39782 4143 Pages:940-978
  • On Universal Osher-Type Schemes for General Nonlinear Hyperbolic Conservation Laws

    Michael Dumbser, Eleuterio F. Toro
    2011-10-01
    39639 4377 Pages:635-671
  • A WENO-Based Stochastic Galerkin Scheme for Ideal MHD Equations with Random Inputs

    Kailiang Wu, Dongbin Xiu, Xinghui Zhong
    2021-05-25
    49104 3204 Pages:423-447
  • One-Dimensional Blood Flow with Discontinuous Properties and Transport: Mathematical Analysis and Numerical Schemes

    Alessandra Spilimbergo, Eleuterio F. Toro, Lucas O. Müller
    2021-01-13
    47659 3428 Pages:649-697
  • Energy-Preserving Hybrid Asymptotic Augmented Finite Volume Methods for Nonlinear Degenerate Wave Equations

    Wenju Liu, Yanjiao Zhou, Zhiyue Zhang
    2024-03-13
    26569 2273 Pages:313-368
  • High Order Arbitrary Lagrangian-Eulerian Finite Difference WENO Scheme for Hamilton-Jacobi Equations

    Yue Li, Juan Cheng, Yinhua Xia, Chi-Wang Shu
    2019-08-27
    47366 3376 Pages:1530-1574
  • 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
    46250 5278 Pages:1-34
  • A Highly Efficient Numerical Method for Rotating Oceanographic Flows Modeled by Saint-Venant System with Coriolis Forces

    Xin Liu
    2019-01-10
    45929 3931 Pages:1394-1412
  • High Order Conservative Finite Difference/Fourier Spectral Methods for Inviscid Surface Quasi-Geostrophic Flows

    Nan Zhang, Zhiping Mao, Tao Xiong
    2023-01-24
    39084 3175 Pages:1474-1509
  • Analysis of High-Order Absorbing Boundary Conditions for the Schrödinger Equation

    Jiwei Zhang, Zhizhong Sun, Xiaonan Wu, Desheng Wang
    2011-10-01
    38938 3929 Pages:742-766
  • A Discontinuous Galerkin Extension of the Vertex-Centered Edge-Based Finite Volume Method

    Martin Berggren, Sven-Erik Ekstrom, Jan Nordstrom
    2018-04-11
    41950 3611 Pages:456-468
  • A Well-Balanced Positivity-Preserving Quasi-Lagrange Moving Mesh DG Method for the Shallow Water Equations

    Min Zhang, Weizhang Huang, Jianxian Qiu
    2021-12-06
    49315 3997 Pages:94-130
  • Truncation Errors, Exact and Heuristic Stability Analysis of Two-Relaxation-Times Lattice Boltzmann Schemes for Anisotropic Advection-Diffusion Equation

    Irina Ginzburg
    2012-11-01
    39345 4422 Pages:1439-1502
  • 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
    3806 371 Pages:1130-1172
  • Continuum Formulation for Non-Equilibrium Shock Structure Calculation

    Kun Xu, Eswar Josyula
    2006-01-01
    39218 4009 Pages:425-448
  • A Finite Volume Scheme for Three-Dimensional Diffusion Equations

    Xiang Lai, Zhigiang Sheng, Guangwei Yuan
    2018-04-03
    39491 3136 Pages:650-672
  • 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
  • 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
    44552 3492 Pages:1028-1048
  • Fast Evaluation of the Caputo Fractional Derivative and Its Applications to Fractional Diffusion Equations

    Shidong Jiang, Jiwei Zhang, Qian Zhang, Zhimin Zhang
    2018-04-09
    52306 3451 Pages:650-678
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