Stiffness of ODEs
| dc.contributor.author | Higham, Desmond J. | en_US |
| dc.contributor.author | Trefethen, Lloyd N. | en_US |
| dc.date.accessioned | 2007-04-03T14:42:26Z | |
| dc.date.available | 2007-04-03T14:42:26Z | |
| dc.date.issued | 1992-01 | en_US |
| dc.description.abstract | 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 of stiffness can be based upon pseudospectra instead of spectra. Numerical experiments with an adaptive ODE solver illustrate these findings. | en_US |
| dc.format.extent | 373521 bytes | |
| dc.format.extent | 1595187 bytes | |
| dc.format.mimetype | application/pdf | |
| dc.format.mimetype | application/postscript | |
| dc.identifier.citation | http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.tc/92-087 | en_US |
| dc.identifier.uri | https://hdl.handle.net/1813/5469 | |
| dc.language.iso | en_US | en_US |
| dc.publisher | Cornell University | en_US |
| dc.subject | theory center | en_US |
| dc.title | Stiffness of ODEs | en_US |
| dc.type | technical report | en_US |