Electronic Resource
Springer
BIT
33 (1993), S. 285-303
ISSN:
1572-9125
Keywords:
65L05
;
stiffness
;
stability
;
pseudospectra
Source:
Springer Online Journal Archives 1860-2000
Topics:
Mathematics
Notes:
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 can be based upon pseudospectra instead of spectra. Numerical experiments with an adaptive ODE solver illustrate these findings.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1007/BF01989751
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