Direct Computation of Operational Matrices for Polynomial Bases
Joint Authors
Piqueira, José Roberto Castilho
Lobo Netto, Marcio
Guimarães, Osvaldo
Source
Mathematical Problems in Engineering
Issue
Vol. 2010, Issue 2010 (31 Dec. 2010), pp.1-12, 12 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2010-09-22
Country of Publication
Egypt
No. of Pages
12
Main Subjects
Abstract EN
Several numerical methods for boundary value problems use integral and differential operational matrices, expressed in polynomial bases in a Hilbert space of functions.
This work presents a sequence of matrix operations allowing a direct computation of operational matrices for polynomial bases, orthogonal or not, starting with any previously known reference matrix.
Furthermore, it shows how to obtain the reference matrix for a chosen polynomial base.
The results presented here can be applied not only for integration and differentiation, but also for any linear operation.
American Psychological Association (APA)
Guimarães, Osvaldo& Piqueira, José Roberto Castilho& Lobo Netto, Marcio. 2010. Direct Computation of Operational Matrices for Polynomial Bases. Mathematical Problems in Engineering،Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-448837
Modern Language Association (MLA)
Guimarães, Osvaldo…[et al.]. Direct Computation of Operational Matrices for Polynomial Bases. Mathematical Problems in Engineering No. 2010 (2010), pp.1-12.
https://search.emarefa.net/detail/BIM-448837
American Medical Association (AMA)
Guimarães, Osvaldo& Piqueira, José Roberto Castilho& Lobo Netto, Marcio. Direct Computation of Operational Matrices for Polynomial Bases. Mathematical Problems in Engineering. 2010. Vol. 2010, no. 2010, pp.1-12.
https://search.emarefa.net/detail/BIM-448837
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-448837
