Limiting strategies for polynomial reconstructions in the finite volume approximation of the linear advection equation-Reference-Cited by-同舟云学术

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Limiting strategies for polynomial reconstructions in the finite volume approximation of the linear advection equation

Published:2004-06 Issue:3-4 Volume:49 Page:277-289
ISSN:0168-9274
Container-title:Applied Numerical Mathematics
language:en
Short-container-title:Applied Numerical Mathematics

Author:

Bertolazzi Enrico,Manzini Gianmarco

Publisher

Elsevier BV

Subject

Applied Mathematics,Computational Mathematics,Numerical Analysis

Reference16 articles.

1. S.K. Godunov, Finite difference method for numerical computation of discontinous solution of the equations of fluid dynamics, Mat. Sb. 47

2. High resolution schemes using flux limiters for hyperbolic conservation laws;Sweby;SIAM J. Numer. Anal.,1984

3. High resolution schemes for hyperbolic conservation laws;Harten;J. Comput. Phys.,1983

4. Numerical Methods for Conservation Laws;LeVeque,1992

5. Riemann Solvers and Numerical Methods for Fluid Dynamics;Toro,1999

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1. Bad behavior of Godunov mixed methods for strongly anisotropic advection–dispersion equations;Journal of Computational Physics;2011-09

2. An efficient and conservative hybrid method for solving multidimensional conservation laws;Numerical Methods for Partial Differential Equations;2009-09

3. A second-order TVD implicit–explicit finite volume method for time-dependent convection-reaction equations;Mathematics and Computers in Simulation;2009-04

4. A CHARACTERISTIC-BASED FINITE VOLUME ELEMENT METHOD FOR CONVECTION-DIFFUSION-REACTION EQUATION;Transactions of the Canadian Society for Mechanical Engineering;2008-09

5. DIMEX Runge–Kutta finite volume methods for multidimensional hyperbolic systems;Mathematics and Computers in Simulation;2007-09

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