Telescopic projective methods for parabolic differential equations

C. W. Gear, Ioannis G. Kevrekidis

Research output: Contribution to journalArticlepeer-review

61 Scopus citations

Abstract

Projective methods were introduced in an earlier paper [C.W. Gear, I.G. Kevrekidis, Projective Methods for Stiff Differential Equations: problems with gaps in their eigenvalue spectrum, NEC Research Institute Report 2001-029, available from http://www.neci.nj.nec.com/homepages/cwg/projective.pdf Abbreviated version to appear in SISC] as having potential for the efficient integration of problems with a large gap between two clusters in their eigenvalue spectrum, one cluster containing eigenvalues corresponding to components that have already been damped in the numerical solution and one corresponding to components that are still active. In this paper we introduce iterated projective methods that allow for explicit integration of stiff problems that have a large spread of eigenvalues with no gaps in their spectrum as arise in the semi-discretization of PDEs with parabolic components.

Original languageEnglish (US)
Pages (from-to)95-109
Number of pages15
JournalJournal of Computational Physics
Volume187
Issue number1
DOIs
StatePublished - May 1 2003

All Science Journal Classification (ASJC) codes

  • Numerical Analysis
  • Modeling and Simulation
  • Physics and Astronomy (miscellaneous)
  • Physics and Astronomy(all)
  • Computer Science Applications
  • Computational Mathematics
  • Applied Mathematics

Keywords

  • Explicit
  • Integration
  • Legacy codes
  • Stability
  • Stiff

Fingerprint

Dive into the research topics of 'Telescopic projective methods for parabolic differential equations'. Together they form a unique fingerprint.

Cite this