Approximation theory for semi-groups of linear operators and its application to approximation of wave equations-Reference-Cited by-同舟云学术

Approximation theory for semi-groups of linear operators and its application to approximation of wave equations

Published:1975 Issue:1 Volume:1 Page:185-224
ISSN:0289-2316
Container-title:Japanese journal of mathematics. New series
language:en
Short-container-title:Jpn. j. math

Author:

USHIJIMA Teruo¹

Affiliation:

1. DEPARTMENT OF INFORMATION MATHEMATICS UNIVERSITY OF ELECTRO-COMMUNICATIONS

Publisher

Mathematical Society of Japan (JST)

Subject

General Mathematics

Link

https://www.jstage.jst.go.jp/article/math1924/1/1/1_1_185/_pdf

Reference13 articles.

1. [1] G. W. Benthien, M. E. Gurtin, & T. D. Ralston, On the semi-discrete Galerkin method for hyperbolic problems and its application to problems in elasto-dynamics, Arch. Rational Mech. Anal., 48 (1972), 51-63.

2. [2] T. Dupont, L₂ estimates for Galerkin methods for second order hyperbolic equa-tions, SIAM J. Numer. Anal., 10 (1973), 880-889.

3. [3] H. Fujii, Finite element schemes: stability and convergence, Advances in com-putational methods in structural mechanics and design (Proceedings of second U.S.-Japan seminar on matrix methods of structural analysis and design), (1972), 201-218.

4. [4] T. Kato, Perturbation theory for linear operators, Chapter IX, Springer-Verlag, Berlin, 1966.

5. [5] S. G. Krein, Linear differential equations in Banach space, Russian original, Nauka, Moscow, 1967, Japanese translation, Yoshioka-Shoten, Kyoto, 1972.

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