Abstract
In this note, we derived the expressions of the spectra and pseudospectra of waveform relaxation operators for general linear differential-algebraic equations of index one. The expressions are generalizations of those of Lumsdaine and Wu (SIAM J. Sci. Comput., 18 (1997), pp. 286-304) and the derivation here is nontrivial. Numerical experiments are given to verify the theoretical results.
| Original language | English |
|---|---|
| Pages (from-to) | 186-201 |
| Number of pages | 16 |
| Journal | SIAM Journal on Numerical Analysis |
| Volume | 38 |
| Issue number | 1 |
| DOIs | |
| State | Published - 2001 |
Keywords
- Differential-algebraic equations
- Pseudospectra
- Spectra
- Waveform relaxation