Application of a variant of the generalized Galerkin method to certain eigenvalue problems

Yu. K. Lavrov

doi:10.1007/bf00883006

Application of a variant of the generalized Galerkin method to certain eigenvalue problems

Soviet Applied Mechanics ◽

10.1007/bf00883006 ◽

1973 ◽

Vol 9 (7) ◽

pp. 776-780

Author(s):

Yu. K. Lavrov

Keyword(s):

Galerkin Method ◽

Eigenvalue Problems

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An efficient spectral‐Galerkin method based on a dimension reduction scheme for eigenvalue problems of Schrödinger equations

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5500 ◽

2019 ◽

Vol 42 (6) ◽

pp. 2069-2082

Author(s):

Jun Zhang ◽

Fubiao Lin ◽

JinRong Wang

Keyword(s):

Galerkin Method ◽

Dimension Reduction ◽

Eigenvalue Problems ◽

Schrodinger Equations ◽

Schrödinger Equations ◽

Reduction Scheme ◽

Spectral Galerkin Method

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C 0 Interior Penalty Galerkin Method for Biharmonic Eigenvalue Problems

Lecture Notes in Computational Science and Engineering - Spectral and High Order Methods for Partial Differential Equations ICOSAHOM 2014 ◽

10.1007/978-3-319-19800-2_1 ◽

2015 ◽

pp. 3-15 ◽

Cited By ~ 11

Author(s):

Susanne C. Brenner ◽

Peter Monk ◽

Jiguang Sun

Keyword(s):

Galerkin Method ◽

Eigenvalue Problems ◽

Interior Penalty ◽

Biharmonic Eigenvalue Problems

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Improved error estimates for the perturbed Galerkin method applied to a class of generalized eigenvalue problems

Indagationes Mathematicae (Proceedings) ◽

10.1016/s1385-7258(79)80024-4 ◽

1979 ◽

Vol 82 (1) ◽

pp. 307-316

Author(s):

Hans G. Kaper ◽

Gary K. Leaf

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Eigenvalue Problems ◽

Generalized Eigenvalue ◽

Generalized Eigenvalue Problems

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Improved error estimates for the perturbed Galerkin method applied to a class of generalized eigenvalue problems

Indagationes Mathematicae (Proceedings) ◽

10.1016/1385-7258(79)90034-9 ◽

1979 ◽

Vol 82 (3) ◽

pp. 307-316

Author(s):

Hans G. Kaper ◽

Gary K. Leaf

Keyword(s):

Galerkin Method ◽

Error Estimates ◽

Eigenvalue Problems ◽

Generalized Eigenvalue ◽

Generalized Eigenvalue Problems

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On the rate of convergence of the bubnov-galerkin method for eigenvalue problems

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(84)90131-9 ◽

1984 ◽

Vol 24 (1) ◽

pp. 118-123

Author(s):

A.G. Zarubin

Keyword(s):

Galerkin Method ◽

Rate Of Convergence ◽

Eigenvalue Problems

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On error bounds in strong approximations for eigenvalue problems

The Journal of the Australian Mathematical Society Series B Applied Mathematics ◽

10.1017/s0334270000002629 ◽

1981 ◽

Vol 22 (3) ◽

pp. 270-283 ◽

Cited By ~ 2

Author(s):

R. P. Kulkarani ◽

B. V. Limaye

Keyword(s):

Numerical Experiment ◽

Galerkin Method ◽

Error Bounds ◽

Strong Approximation ◽

Eigenvalue Problems ◽

Strong Approximations ◽

Asymptotic Case ◽

The Galerkin Method

AbstractSome corrections of error bounds obtained by Chatelin and Lemordant for the first three terms of the asymptotic case of a strong approximation are given. The error bounds for the approximations of order 2 in the Galerkin method are compared with the Rayleigh quotients constructed with the eigenvectors in the Sloan method. A numerical experiment is also carried out.

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