Stiffness of ODEs
Tools
Higham, D.J. and Trefethen, L.N. (1993) Stiffness of ODEs. BIT Numerical Mathematics, 33 (2). pp. 285-303. ISSN 0006-3835 (http://dx.doi.org/10.1007/BF01989751)
Full text not available in this repository.Request a copyAbstract
It is argued that even for a linear system of ODEs with constant coefficients, stiffness cannot properly be characterized in terms of the eigenvalues of the Jacobian, because stiffness is a transient phenomenon whereas the significance of eigenvalues is asymptotic. Recent theory from the numerical solution of PDEs is adapted to show that a more appropriate characterization can be based upon pseudospectra instead of spectra. Numerical experiments with an adaptive ODE solver illustrate these findings.
ORCID iDs
Higham, D.J. ORCID: https://orcid.org/0000-0002-6635-3461 and Trefethen, L.N.;-
-
Item type: Article ID code: 199 Dates: DateEventJune 1993PublishedSubjects: Science > Mathematics Department: Faculty of Science > Mathematics and Statistics Depositing user: Ms Sarah Scott Date deposited: 15 Mar 2006 Last modified: 11 Nov 2024 08:11 URI: https://strathprints.strath.ac.uk/id/eprint/199
CORE (COnnecting REpositories)