Original title: Smooth approximation and its application to some 1D problems
Authors: Segeth, Karel
Document type: Papers
Conference/Event: Applications of Mathematics 2012, Prague (CZ), 2012-05-02 / 2012-05-05
Year: 2012
Language: eng
Abstract: In the contribution, we are concerned with the exact interpolation of the data at nodes given and also with the smoothness of the interpolating curve and its derivatives. This task is called the problem of smooth approximation of data. The interpolating curve or surface is defined as the solution of a variational problem with constraints. We discuss the proper choice of basis systems for this way of approximation and present the results of several 1D numerical examples that show the quality of smooth approximation.
Keywords: smooth approximation
Project no.: IAA100190803 (CEP)
Funding provider: GA AV ČR
Host item entry: Proceedings of the International Conference Applications of Mathematics 2012, ISBN 978-80-85823-60-8

Institution: Institute of Mathematics AS ČR (web)
Document availability information: Fulltext is available at external website.
External URL: http://www.math.cas.cz/~am2012/proceedings/contributions/segeth.pdf
Original record: http://hdl.handle.net/11104/0209151

Permalink: http://www.nusl.cz/ntk/nusl-112357


The record appears in these collections:
Research > Institutes ASCR > Institute of Mathematics
Conference materials > Papers