Some theorems on the stability of numerical processes
- Volume: 72, Issue: 2, page 71-76
- ISSN: 1120-6330
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topMikhlin, Solomon G.. "Some theorems on the stability of numerical processes." Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni 72.2 (1982): 71-76. <http://eudml.org/doc/287020>.
@article{Mikhlin1982,
author = {Mikhlin, Solomon G.},
journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni},
keywords = {stability; numerical processes; sequence of independent equations; separable Banach spaces; distorted sequence; Ritz and collocation methods},
language = {eng},
month = {2},
number = {2},
pages = {71-76},
publisher = {Accademia Nazionale dei Lincei},
title = {Some theorems on the stability of numerical processes},
url = {http://eudml.org/doc/287020},
volume = {72},
year = {1982},
}
TY - JOUR
AU - Mikhlin, Solomon G.
TI - Some theorems on the stability of numerical processes
JO - Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Lincei. Matematica e Applicazioni
DA - 1982/2//
PB - Accademia Nazionale dei Lincei
VL - 72
IS - 2
SP - 71
EP - 76
LA - eng
KW - stability; numerical processes; sequence of independent equations; separable Banach spaces; distorted sequence; Ritz and collocation methods
UR - http://eudml.org/doc/287020
ER -
References
top- Mikhlin, S.G. (1964) - On the stability of some numerical processes. «Dokl. Akad. Nauk SSSR», 157, N. 2, 271-273. English translation: «Soviet Math. Dokl.», 5, 931-933.
- Mikhlin, S.G. (1957-1964) - Variational methods in mathematical Physics. Moscow. English translation: Pergamon Press, Oxford. Zbl0119.19002
- Ritz, W. (1908) - Über eine neue Methode zur Lösung gewisser Variations-probleme der mathmatischen Physik. «Journ. f. d. reine und angewandte Mathematik», 135, H. 1.
- Courant, R. (1943) - Variational methods for the solution of problems of equilibrium and vibrations. «Bull. Amer. Math. Soc.», 49, 1-23. Zbl0063.00985
- Mikhlin, S.G. (1960-1961) - On the stability of the method of Ritz. «Dokl. Akad. Nauk SSSR», 135, 16-19. English translation: «Soviet Math. Dokl.», 1, 1230-1233.
- Mikhlin, S.G. (1971) - The numerical performance of variational methods, Moscow, 1966. English translation: Wolters-Noordhoff Publ., Groningen. Zbl0209.18301
- Yaskova, G.N., Yakovlev, M.N. (1962) - Some condition for the stability of the method of Petrov - Galerkin. «Trudy Matem. in-ta im.». Steklova, 66, 182-189. Zbl0147.35401
- Mikhlin, S.G. (1979) - Approximation on a rectangular grid. Sijthoff & Noordhoff, Alphen aan den Rijn. Zbl0466.65053
- Kantorovich, L.V. (1934) - On a method for approximate solution of differential equations. «Dokl. Akad. Nauk SSSR», 2, 532-536.
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