The Spectrum of the Chebyshev Collocation Operator for the Heat Equation
Authors:
- David GottliebDGDavid Gottlieb
- Liviu LustmanLLLiviu Lustman
- 1 October 1983
- journal article
- Published by Society for Industrial & Applied Mathematics (SIAM) in SIAM Journal on Numerical Analysis
- Vol. 20 (5) , 909-921
Abstract
It is shown that the eigenvalues of the pseudospectral Chebyshev second derivative operator with separated boundary conditions are real, negative and distinct. An application to the full potential equation is also presented.Keywords
This publication has 3 references indexed in Scilit:
- The stability of pseudospectral-Chebyshev methodsMathematics of Computation, 1981
- Spectral methods for problems in complex geometriesJournal of Computational Physics, 1980
- Numerical Analysis of Spectral Methods1977