Mikhlin, Solomon G.:
Some theorems on the stability of numerical processes
Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti Serie 8 72 (1982), fasc. n.2, p. 71-76, (English)
pdf (353 Kb), djvu (426 Kb). | MR 0728255 | Zbl 0525.65032
Sunto
Nell’articolo si dimostrano alcuni teoremi sulla stabilità dei processi numerici di Ritz e della collocazione in rapporto agli errori di «distorsione».
Referenze Bibliografiche
[1] 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.
[2]
Mikhlin S.G. (
1957-1964) -
Variational methods in mathematical Physics. Moscow. English translation:
Pergamon Press, Oxford. |
Zbl 0119.19002[3]
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. |
fulltext EuDML[4]
Courant R. (
1943) -
Variational methods for the solution of problems of equilibrium and vibrations.
«Bull. Amer. Math. Soc.»,
49, 1-23. |
Zbl 0063.00985[5] 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.
[6]
Mikhlin S.G. (
1971) -
The numerical performance of variational methods, Moscow,
1966. English translation:
Wolters-Noordhoff Publ., Groningen. |
Zbl 0209.18301[7]
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. |
Zbl 0147.35401[8]
Mikhlin S.G. (
1979) -
Approximation on a rectangular grid.
Sijthoff & Noordhoff, Alphen aan den Rijn. |
Zbl 0466.65053[9] Kantorovich L.V. (1934) - On a method for approximate solution of differential equations. «Dokl. Akad. Nauk SSSR», 2, 532-536.