Proceedings of the 3rd International Conference on Computer Science and Service System

Efficient Spectral-Galerkin Method for eigenvalue problems

Authors
Jun Zhang, Xinyue Fan
Corresponding Author
Jun Zhang
Available Online June 2014.
DOI
https://doi.org/10.2991/csss-14.2014.23How to use a DOI?
Keywords
eigenvalue; iterated galerkin method; priori error estimates; legendre polynomia
Abstract

we provide a priori error estimates for linear elliptic eigenvalue problems based on the spectral-Galerkin method, and also provide an efficient Galerkin method is proposed for solving this problems,with this scheme ,the solution of an eigenvalue problem on a big spectral space is reduced to the solution of an eigenvalue problem on a small spectral space and and solution of a linear algebraic system on the big spectral space and the resulting solution still maintains an asymptotically optimal accury.

Copyright
© 2014, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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Volume Title
Proceedings of the 3rd International Conference on Computer Science and Service System
Series
Advances in Intelligent Systems Research
Publication Date
June 2014
ISBN
10.2991/csss-14.2014.23
ISSN
1951-6851
DOI
https://doi.org/10.2991/csss-14.2014.23How to use a DOI?
Copyright
© 2014, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - CONF
AU  - Jun Zhang
AU  - Xinyue Fan
PY  - 2014/06
DA  - 2014/06
TI  - Efficient Spectral-Galerkin Method for eigenvalue problems
BT  - Proceedings of the 3rd International Conference on Computer Science and Service System
PB  - Atlantis Press
SP  - 102
EP  - 106
SN  - 1951-6851
UR  - https://doi.org/10.2991/csss-14.2014.23
DO  - https://doi.org/10.2991/csss-14.2014.23
ID  - Zhang2014/06
ER  -