Quarterly of Applied Mathematics

Quarterly of Applied Mathematics

Online ISSN 1552-4485; Print ISSN 0033-569X



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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  • [1] S. Chandrasekhar, Hydrodynamic and hydromagnetic stability, The International Series of Monographs on Physics, Clarendon Press, Oxford, 1961. MR 0128226
  • [2] 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 0107445, https://doi.org/10.1017/S0022112059000751
  • [3] S. Mikhlin, Priamye metody v matematicheskoi fizike, (Direct methods of mathematical physics), GTTI, Moscow, 1950
  • [4] 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)
  • [5] R. Sani, Convergence of a generalized Galerkin method for certain fluid stability problems, Renssalaer Polytechnic Institute Math Rep 63, Troy, New York, 1964
  • [6] Bernard Epstein, Partial differential equations: An introduction, Internationa.ll Series in Pure and Applied Mathematics, McGraw-Hill Book Co., Inc., New York-San Francisco, Calif.-Toronto-London, 1962. MR 0149054
  • [7] L. V. Kantorovich and V. I. Krylov, Approximate methods of higher analysis, Translated from the 3rd Russian edition by C. D. Benster, Interscience Publishers, Inc., New York; P. Noordhoff Ltd., Groningen, 1958. MR 0106537
  • [8] 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)
  • [9] 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 0003752, https://doi.org/10.1098/rspa.1940.0092

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DOI: https://doi.org/10.1090/qam/182242
Article copyright: © Copyright 1965 American Mathematical Society

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