A note on the Ritz method with an application to overtone stellar pulsation theory
- 1 May 1968
- journal article
- research article
- Published by Cambridge University Press (CUP) in Journal of the Australian Mathematical Society
- Vol. 8 (2) , 275-286
- https://doi.org/10.1017/s1446788700005334
Abstract
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.Keywords
This publication has 6 references indexed in Scilit:
- Higher Modes of Non-Radial Oscillations of Stars by Variational MethodsAustralian Journal of Physics, 1967
- Bounds for Eigenvalues of Some Differential Operators by the Rayleigh-Ritz MethodMathematics of Computation, 1965
- Bounds for eigenvalues of some differential operators by the Rayleigh-Ritz methodMathematics of Computation, 1965
- Non-Radial Oscillations of Gaseous Masses.The Astrophysical Journal, 1964
- The Evolution of Massive Stars Initially Composed of Pure HydrogenAustralian Journal of Physics, 1964
- Radial Pulsations of Stars.The Astrophysical Journal, 1941