The convergence of the Galerkin method for the Taylor-Dean stability problem
Authors:
R. C. Di Prima and R. Sani
Journal:
Quart. Appl. Math. 23 (1965), 183-187
MSC:
Primary 76.65
DOI:
https://doi.org/10.1090/qam/182242
MathSciNet review:
182242
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References |
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Additional Information
- S. Chandrasekhar, Hydrodynamic and hydromagnetic stability, The International Series of Monographs on Physics, Clarendon Press, Oxford, 1961. MR 0128226
- R. C. Di Prima, The stability of viscous flow between rotating concentric cylinders with a pressure gradient acting round the cylinders, J. Fluid Mech. 6 (1959), 462–468. MR 107445, DOI https://doi.org/10.1017/S0022112059000751
S. Mikhlin, Priamye metody v matematicheskoi fizike, (Direct methods of mathematical physics), GTTI, Moscow, 1950
J. Kolomý, Uzĭtĺ Galerkinovy metody v ulohach stabilitĕ proudĕnĺ vazké tekutiny, ( The use of the Galerkin method for the problem of the stability of viscous flow), Aplikace Matematiky, 5, 40–44 (1960)
R. Sani, Convergence of a generalized Galerkin method for certain fluid stability problems, Renssalaer Polytechnic Institute Math Rep 63, Troy, New York, 1964
- Bernard Epstein, Partial differential equations: An introduction, International Series in Pure and Applied Mathematics, McGraw-Hill Book Co., Inc., New York-San Francisco, Calif.-Toronto-London, 1962. MR 0149054
- L. V. Kantorovich and V. I. Krylov, Approximate methods of higher analysis, Interscience Publishers, Inc., New York; P. Noordhoff Ltd., Groningen, 1958. Translated from the 3rd Russian edition by C. D. Benster. MR 0106537
D. L. Harris and W. H. Reid, On orthogonal functions which satisfy four boundary conditions I. Tables for use in Fourier-type expansions, Astrophysics Journal Supplement, ser. 3, 429–447 (1958)
- Anne Pellew and R. V. Southwell, On maintained convective motion in a fluid heated from below, Proc. Roy. Soc. London Ser. A 176 (1940), 312–343. MR 3752, DOI https://doi.org/10.1098/rspa.1940.0092
S. Chandrasekhar, Hydrodynamic and hydromagnetic stability, Oxford University Press, England, 1961
R. C. DiPrima, The stability of viscous flow between rotating concentric cylinders with a pressure gradient acting round the cylinders, Journal of Fluid Mechanics, 6, 462–468 (1959)
S. Mikhlin, Priamye metody v matematicheskoi fizike, (Direct methods of mathematical physics), GTTI, Moscow, 1950
J. Kolomý, Uzĭtĺ Galerkinovy metody v ulohach stabilitĕ proudĕnĺ vazké tekutiny, ( The use of the Galerkin method for the problem of the stability of viscous flow), Aplikace Matematiky, 5, 40–44 (1960)
R. Sani, Convergence of a generalized Galerkin method for certain fluid stability problems, Renssalaer Polytechnic Institute Math Rep 63, Troy, New York, 1964
B. Epstein, Partial differential equations, McGraw-Hill Book Co., New York, 1962
L. V. Kantorovich and V. I. Krylov, Approximate methods of higher analysis, P. Noordhoff Ltd., Amsterdam, 1958
D. L. Harris and W. H. Reid, On orthogonal functions which satisfy four boundary conditions I. Tables for use in Fourier-type expansions, Astrophysics Journal Supplement, ser. 3, 429–447 (1958)
A. Pellew and R. V. Southwell, On maintained convective motion in a fluid heated from below, Proc. Roy. Soc., ser. A, 176, 312–343 (1940)
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Article copyright:
© Copyright 1965
American Mathematical Society
