A Note on the Spectra and Pseudospectra of Waveform Relaxation Operators for Linear Differential-Algebraic Equations

Authors:
Yao-Lin Jiang;Omar Wing
Affiliations:
-;-
Venue:
SIAM Journal on Numerical Analysis
Year:
2000

Citing 0
Cited 4

On convergence conditions of waveform relaxation methods for linear differential-algebraic equations

Journal of Computational and Applied Mathematics
Nonnegative solutions of fractional functional differential equations

Computers & Mathematics with Applications
Continuous-time accelerated block successive overrelaxation methods for time-dependent Stokes equations

Journal of Computational and Applied Mathematics
Original Articles: A parareal algorithm based on waveform relaxation

Mathematics and Computers in Simulation

Quantified Score

Hi-index	0.01

Visualization

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.