Open Access
March 2006 Hybrid multiscale methods for hyperbolic problems I. Hyperbolic relaxation problems
Giacomo Dimarco, Lorenzo Pareschi
Commun. Math. Sci. 4(1): 155-177 (March 2006).


In this paper we consider the development of hybrid numerical methods for the solution of hyperbolic relaxation problems with multiple scales. The main ingredients in the schemes are a suitable merging of probabilistic Monte Carlo methods in non-stiff regimes with high resolution shock capturing techniques in stiff ones. The key aspect in the development of the algorithms is the choice of a suitable hybrid representation of the solution. After the introduction of the different schemes the performance of the new methods is tested in the case of the Jin-Xin relaxation system and the Broadwell model.


Download Citation

Giacomo Dimarco. Lorenzo Pareschi. "Hybrid multiscale methods for hyperbolic problems I. Hyperbolic relaxation problems." Commun. Math. Sci. 4 (1) 155 - 177, March 2006.


Published: March 2006
First available in Project Euclid: 24 April 2006

zbMATH: 1185.65197
MathSciNet: MR2204082

Rights: Copyright © 2006 International Press of Boston

Vol.4 • No. 1 • March 2006
Back to Top