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Title: A-stable block implicit methods containing second derivatives (English)
Author: Višňák, Karel
Language: English
Journal: Czechoslovak Mathematical Journal
ISSN: 0011-4642 (print)
ISSN: 1572-9141 (online)
Volume: 27
Issue: 1
Year: 1977
Pages: 14-42
Summary lang: Russian
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Category: math
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MSC: 65L05
idZBL: Zbl 0363.65064
idMR: MR0431695
DOI: 10.21136/CMJ.1977.101443
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Date available: 2008-06-09T14:21:31Z
Last updated: 2020-07-28
Stable URL: http://hdl.handle.net/10338.dmlcz/101443
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Reference: [1] H. A. Watts L. F. Shampine: A-stable block implicit one-step methods.BIT 12 (1972), 252-266. MR 0307483, 10.1007/BF01932819
Reference: [2] M. Práger J. Taufer E. Vitásek: Overimplicit multistep methods.Aplikace matematiky 18 (1973), No. 6, 399-421. MR 0366041
Reference: [3] M. Kubíček K. Višňák: A nonlinear explicit algorithm for efficient integration of stiff systems of O.D.E..Chem. eng. com. (1974), 291 - 296.
Reference: [4] K. Višňák M. Kubíček: A class of numerical methods for stiff problems in ordinary differential equations.JIMA, to be published.
Reference: [5] R. D. Grigorieff: Numerik gewöhnlicher Differentialgleichungen.Teubner Verlag, Stuttgart 1972. Zbl 0249.65051, MR 0468207
Reference: [6] Л. В. Канmорович Г. П. Акилов: Функциональный анализ в нормированных пространствах.Гос. издат. физикоматематической лит., Москва 1959. Zbl 0995.90513
Reference: [7] L. Lapidus J. H. Seinfeld: Numerical solution of O.D.E..Academic Press, N.Y. 1971. MR 0281355
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