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Pseudospectra of the Convection-Diffusion Operator

Author
Reddy, Satish C.; Trefethen, Lloyd N.; Pathria, Dimpy
Abstract
The spectrum of the simplest 1D convection-diffusion operator is a discrete subset of the negative real axis, but the pseudospectra are regions in the complex plane that approximate parabolas. Put another way, the norm of the resolvent is exponentially large as a function of the Peclet number throughout a certain parabolic region. These observations have a simple physical basis, and suggest that conventional spectral analysis for convection-diffusion operators may be of limited value in some applications.
Date Issued
1993-04Publisher
Cornell University
Subject
computer science; technical report
Previously Published As
http://techreports.library.cornell.edu:8081/Dienst/UI/1.0/Display/cul.cs/TR93-1337
Type
technical report