Smooth approximation and its application to some 1D problems

0376844 - MÚ 2013 RIV CZ eng C - Conference Paper (international conference)
Segeth, Karel
Smooth approximation and its application to some 1D problems.
Proceedings of the International Conference Applications of Mathematics 2012. Prague: Institute of Mathematics AS CR, 2012 - (Brandts, J.; Chleboun, J.; Korotov, S.; Segeth, K.; Šístek, J.; Vejchodský, T.), s. 243-252. ISBN 978-80-85823-60-8.
[Applications of Mathematics 2012. Prague (CZ), 02.05.2012-05.05.2012]
R&D Projects: GA AV ČR(CZ) IAA100190803
Institutional support: RVO:67985840
Keywords : smooth approximation
Subject RIV: BA - General Mathematics
http://www.math.cas.cz/~am2012/proceedings/contributions/segeth.pdf

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.
Permanent Link: http://hdl.handle.net/11104/0209151