HYBRID MULTISCALE METHODS I. HYPERBOLIC RELAXATION PROBLEMS*

Giacomo Dimarco, Lorenzo Pareschi

Research output: Contribution to journalArticlepeer-review

9 Scopus citations

Abstract

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.

Original languageEnglish
Pages (from-to)155-177
Number of pages23
JournalCommunications in Mathematical Sciences
Volume4
Issue number1
DOIs
StatePublished - 2006
Externally publishedYes

Keywords

  • Monte Carlo methods
  • hyperbolic system with relaxation
  • multiscale problems
  • shock capturing schemes
  • stiff equations

Fingerprint

Dive into the research topics of 'HYBRID MULTISCALE METHODS I. HYPERBOLIC RELAXATION PROBLEMS*'. Together they form a unique fingerprint.

Cite this