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A note on the Ritz method with an application to overtone stellar pulsation theory

Published online by Cambridge University Press:  09 April 2009

A. L. Andrew
A. L. Andrew
Affiliation:
La Trobe University Melbourne
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The Ritz method reduces eigenvalue problems involving linear operators on infinite dimensional spaces to finite matrix eigenvalue problems. This paper shows that for a certain class of linear operators it is possible to choose the coordinate functions so that numerical solution of the matrix equations is considerably simplified, especially when the matrices are large. The method is applied to the problem of overtone pulsations of stars.

Type
Research Article
Information
Journal of the Australian Mathematical Society , Volume 8 , Issue 2 , May 1968 , pp. 275 - 286
Copyright
Copyright © Australian Mathematical Society 1968

References

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