Nell’articolo si dimostrano alcuni teoremi sulla stabilità dei processi numerici di Ritz e della collocazione in rapporto agli errori di «distorsione».
@article{RLINA_1982_8_72_2_71_0, author = {Solomon G. Mikhlin}, title = {Some theorems on the stability of numerical processes}, journal = {Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Rendiconti}, volume = {72}, year = {1982}, pages = {71-76}, zbl = {0525.65032}, mrnumber = {0728255}, language = {en}, url = {http://dml.mathdoc.fr/item/RLINA_1982_8_72_2_71_0} }
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, Tome 72 (1982) pp. 71-76. http://gdmltest.u-ga.fr/item/RLINA_1982_8_72_2_71_0/
[1] On the stability of some numerical processes. «Dokl. Akad. Nauk SSSR», 157, N. 2, 271-273. English translation: «Soviet Math. Dokl.», 5, 931-933.
(1964) -[2] | Zbl 0119.19002
(1957-1964) - Variational methods in mathematical Physics. Moscow. English translation: Pergamon Press, Oxford.[3] Über eine neue Methode zur Lösung gewisser Variations-probleme der mathmatischen Physik. «Journ. f. d. reine und angewandte Mathematik», 135, H. 1.
(1908) -[4] Variational methods for the solution of problems of equilibrium and vibrations. «Bull. Amer. Math. Soc.», 49, 1-23. | Zbl 0063.00985
(1943) -[5] On the stability of the method of Ritz. «Dokl. Akad. Nauk SSSR», 135, 16-19. English translation: «Soviet Math. Dokl.», 1, 1230-1233.
(1960-1961) -[6] | Zbl 0209.18301
(1971) - The numerical performance of variational methods, Moscow, 1966. English translation: Wolters-Noordhoff Publ., Groningen.[7] Some condition for the stability of the method of Petrov - Galerkin. «Trudy Matem. in-ta im.». Steklova, 66, 182-189. | Zbl 0147.35401
, (1962) -[8] | Zbl 0466.65053
(1979) - Approximation on a rectangular grid. Sijthoff & Noordhoff, Alphen aan den Rijn.[9] On a method for approximate solution of differential equations. «Dokl. Akad. Nauk SSSR», 2, 532-536.
(1934) -