Higher order convergence results for the Rayleigh-Ritz method applied to eigenvalue problems: 2. Improved error bounds for eigenfunctions-Reference-Cited by-同舟云学术

Higher order convergence results for the Rayleigh-Ritz method applied to eigenvalue problems: 2. Improved error bounds for eigenfunctions

Published:1972-04 Issue:2 Volume:19 Page:155-169
ISSN:0029-599X
Container-title:Numerische Mathematik
language:en
Short-container-title:Numer. Math.

Author:

Pierce J. G.,Varga R. S.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Computational Mathematics

Link

http://link.springer.com/content/pdf/10.1007/BF01402526.pdf

Reference37 articles.

1. Ahlberg, J. H., Nilson, E. N., Walsh, J. L.: The theory of splines and their applications. New York: Academic Press 1967.

2. Birkhoff, G., Boor, C. de: Error bounds for spline interpolation. J. Math. Mech.13, 827?836 (1964).

3. Birkhoff, G., Boor, C. de: Piecewise polynomial interpolation and approximation. Approximation of functions (H. L. Garabedian, ed.), pp. 164?190. Amsterdam: Elsevier Pub. Co. 1965.

4. Birkhoff, G., Boor, C. de, Swartz, B., Wendroff, B.: Rayleigh-Ritz approximation by piecewise cubic polynomials. SIMA J. Numer. Anal.3, 188?203 (1966).

5. Birkhoff, G., Schultz, M. H., Varga, R. S.: Piecewise Hermite interpolation in one and two variables with applications to partial differential equations. Numer. Math.11, 232?256 (1968).

Cited by 28 articles. 订阅此论文施引文献订阅此论文施引文献，注册后可以免费订阅5篇论文的施引文献，订阅后可以查看论文全部施引文献

1. Richard S. Varga October 9, 1928 – February 25, 2022;Journal of Approximation Theory;2024-01

2. A Priori Error Estimates for Finite Element Approximations to Eigenvalues and Eigenfunctions of the Laplace--Beltrami Operator;SIAM Journal on Numerical Analysis;2018-01

3. New expansions of numerical eigenvalues by Wilson’s element;Journal of Computational and Applied Mathematics;2009-03

4. New expansions of numerical eigenvalues for $-\Delta u=\lambda \rho u$ by nonconforming elements;Mathematics of Computation;2008-05-29

5. Supercloseness Between the Elliptic Projection and the Approximate Eigenfunction and Its Application to a Postprocessing of Finite Element Eigenvalue Problems;Lecture Notes in Computer Science;2005