A note on the stability of the generalized Ritz method

Authors

  • M. E. Titensky Ben-Gurion University of the Negev, Israel
Abstract views: 171

Abstract

Not available.

Downloads

Download data is not yet available.

References

R.S. Anderssen and A.R. Mitchell, Analysis of generalized Galerkin methods in the numerical solution of eeliptic equations, Math. Meth. Appl. Sci., 1 (1979), pp. 3-15, https://doi.org/10.1002/mma.1670010102

D.S. Jones, Galerkin's method and stability, Math. Meth. Appl. Sci., 2 (1980), pp. 347-377, https://doi.org/10.1002/mma.1670020308

A.E. Martyniuk, Variational methods in boundary value problems for weakly elliptic equations, Dokl. Akad. Nauk SSSR, 126 (1959), pp. 1222-1225 (Russian).

A.E. Martyniuk, On the method's Galerkin-Krilov inverse variants, Vichislitenlnaya i prikladnaya mat., 14 (1971), pp. 18-35 (Russian).

S.G. Mikhlin, The numerical performance of variational methods, Wolters-Noordhoff Publishing, Groningen, 1971.

S.G. Mikhlin, Variational methods in mathematical physics, The Macmillan Co, New York, 1964.

S.G. Mikhlin, Errors of computational processes, Tbilis Gos. Univ., Tbilisi, 1983 (Russian).

S.G. Miklhlin, Some problems in error theory. Leningrad Univ., Leningrad, 1988 (Russian).

W.V. Petryshyn, Direct and iterative methods for the solution of linear operator equations in Hilbert space, Trans.Amer. Math. Soc., 105 (1962), pp. 136-175, https://doi.org/10.1090/s0002-9947-1962-0145651-8

W.V. Petryshyn, On a class of k-p.d. and non k-p.d. operators and operator equations, J. Math. Anal. Appl., 10 (1965), pp. 1-14, https://doi.org/10.1016/0022-247x(65)90142-3

W.V.Petryshyn, Projection methods in nonlinear numerical functional analysis, Journal of Math. and Mech., 17 (1967), pp. 353-372, https://doi.org/10.1512/iumj.1968.17.17019

M.E. Titensky, On the stability of the Galerkin method for certain coordinate systems, Izv. Vyssh. Uchebn. Zaved. Mat., 6 (1987), pp. 57-65 (Russian). Engish translation: Soviet Math (Iz VUZ) 31 (1987), no.6, pp. 73-82.

M. E. Titensky, On the stability of the Ritz method, The Institutue of scientific and Technical Informaiton, Moscow, on May 18, no.1782-79, (1979), 12 p. (Russian).

M. E. Titensky, On some suficient conditions of the stability of the Ritz and Bubnov-Galerkin methods, Ibid., on May 19, no.7924-80, (1980), 16 p. (Russian).

Downloads

Published

1994-08-01

How to Cite

Titensky, M. E. (1994). A note on the stability of the generalized Ritz method. Rev. Anal. Numér. Théor. Approx., 23(2), 217–225. Retrieved from https://ictp.acad.ro/jnaat/journal/article/view/1994-vol23-no2-art10

Issue

Vol. 23 No. 2 (1994)

Section

Articles

License

Copyright (c) 2015 Journal of Numerical Analysis and Approximation Theory

Creative Commons License

This work is licensed under a Creative Commons Attribution 4.0 International License.

Open Access. This article is distributed under the terms of the Creative Commons Attribution 4.0 International License, which permits unrestricted use, distribution, and reproduction in any medium, provided you give appropriate credit to the original author(s) and the source, provide a link to the Creative Commons license, and indicate if changes were made.