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The practical use of the Rayleigh-Ritz method in compressible flow

Published online by Cambridge University Press:  17 April 2009

P. E. Lush  and
J. W. Stephenson
P. E. Lush
Affiliation:
University of New England, Armidale, New South Wales.
J. W. Stephenson
Affiliation:
University of New England, Armidale, New South Wales.
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Abstract

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We show

(i) that the Rayleigh-Ritz method is a practical procedure for obtaining approximations to the velocity potential for compressible flows, and

(ii) how to calculate an estimate of the error in such approximations.

Type
Research Article
Information
Bulletin of the Australian Mathematical Society , Volume 4 , Issue 1 , February 1971 , pp. 85 - 95
Copyright
Copyright © Australian Mathematical Society 1971

References

[1]Greenspan, Donald and Jain, Padam, “Application of a method for approximating extremals of functionals to compressible subsonic fluid flows”, J. Math. Anal. Appl. 18 (1967), 85–111.Google Scholar
[2]Lush, P.E., “The convergence of Rayleigh-Ritz approximations in hydrodynamics”, J. Austral. Math. Soc. 3 (1963), 99–103.Google Scholar
[3]Lush, P.E. and Cherry, T.M., “The variational method in hydrodynamics”, Quart. J. Mech. Appl. Math. 9 (1956), 6–21.Google Scholar
[4]Stroud, A.H.; Secrest, Don, Gaussian quadrature formulae (Prentice-Hall, Englewood Cliffs, New Jersey, 1966).Google Scholar