Direct computation of operational matrices for polynomial bases
type: Item
instance of: scholarly article
title: Direct computation of operational matrices for polynomial bases
zbMATH Open document ID: 1198.65121
DOI: 10.1155/2010/139198
author: Osvaldo Guimarães
author: Marcio Lobo Netto
author: José Roberto C. Piqueira
published in: Mathematical Problems in Engineering
publication date: 2010-09-30T00:00:00Z
full work available at URL: https://eudml.org/doc/228348
review text: Summary: 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.
Mathematics Subject Classification ID: 65L10
Mathematics Subject Classification ID: 34B05
zbMATH DE Number: 5793726
zbMATH Keywords: boundary value problems
zbMATH Keywords: operational matrices
zbMATH Keywords: polynomial bases
zbMATH Keywords: integration
zbMATH Keywords: differentiation
zbMATH Keywords: linear operation
Wikidata QID: Q58652923
MaRDI profile type: Publication
OpenAlex ID: W2168998793
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description: scientific article; zbMATH DE number 5793726