SIAM Journal on Numerical Analysis · 2000 · 32 citations · 10 references
Natural SciencesMathematicsDifferential EquationsSpectroscopic AnalysisSpectroscopyNumerical AnalysisNumerical Methods For Differential EquationsOperator TheorySpectral AnalysisSpectral MethodsSpectral TheoryRelaxation Theory
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.
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The Waveform Relaxation Method for Time-Domain Analysis of Large Scale Integrated Circuits
E. Lelarasmee, A.E. Ruehli, Alberto Sangiovanni‐Vincentelli · IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems · 1982 · 818 citations
Engineering, Computer Engineering, Electrical Engineering +13
Computation of Pseudospectra by Continuation
S. H. Lui · SIAM Journal on Scientific Computing · 1997 · 58 citations