A first-order system approach for diffusion equation. II: Unification of advection and diffusion-Reference-Cited by-同舟云学术

A first-order system approach for diffusion equation. II: Unification of advection and diffusion

Published:2010-06 Issue:11 Volume:229 Page:3989-4016
ISSN:0021-9991
Container-title:Journal of Computational Physics
language:en
Short-container-title:Journal of Computational Physics

Author:

Nishikawa Hiroaki

Publisher

Elsevier BV

Subject

Computer Science Applications,Physics and Astronomy (miscellaneous),Applied Mathematics,Computational Mathematics,Modelling and Simulation,Numerical Analysis

Reference38 articles.

1. A first-order system approach for diffusion equation. I: Second-order residual-distribution schemes;Nishikawa;Journal of Computational Physics,2007

2. Characteristic-based schemes for dispersive waves. I: The method of characteristics for smooth solutions;Roe;Numerical Methods for Partial Differential Equations,1993

3. A form of heat-conduction equations which eliminates the paradox of instantaneous propagation;Cattaneo;Comptes Rendus Académie Sciences,1958

4. The behavior of hyperbolic heat equations’ solutions near their parabolic limits;Nagy;Journal of Mathematical Physics,1994

5. A discontinuous Galerkin method for a hyperbolic model for convection–diffusion problems in CFD;Gómez;International Journal for Numerical Methods in Engineering,2007

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