Error Analysis of Galerkin's Method for Semilinear Equations
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2012, Issue 2012 (31 Dec. 2012), pp.1-15, 15 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2012-10-24
Country of Publication
Egypt
No. of Pages
15
Main Subjects
Abstract EN
We establish a general existence result for Galerkin's approximate solutions of abstract semilinear equations and conduct an error analysis.
Our results may be regarded as some extension of a precedent work (Schultz 1969).
The derivation of our results is, however, different from the discussion in his paper and is essentially based on the convergence theorem of Newton’s method and some techniques for deriving it.
Some of our results may be applicable for investigating the quality of numerical verification methods for solutions of ordinary and partial differential equations.
American Psychological Association (APA)
Kawanago, Tadashi. 2012. Error Analysis of Galerkin's Method for Semilinear Equations. Journal of Applied Mathematics،Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-993127
Modern Language Association (MLA)
Kawanago, Tadashi. Error Analysis of Galerkin's Method for Semilinear Equations. Journal of Applied Mathematics No. 2012 (2012), pp.1-15.
https://search.emarefa.net/detail/BIM-993127
American Medical Association (AMA)
Kawanago, Tadashi. Error Analysis of Galerkin's Method for Semilinear Equations. Journal of Applied Mathematics. 2012. Vol. 2012, no. 2012, pp.1-15.
https://search.emarefa.net/detail/BIM-993127
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-993127