Název:
Smooth approximation and its application to some 1D problems
Autoři:
Segeth, Karel Typ dokumentu: Příspěvky z konference Konference/Akce: Applications of Mathematics 2012, Prague (CZ), 2012-05-02 / 2012-05-05
Rok:
2012
Jazyk:
eng
Abstrakt: 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.
Klíčová slova:
smooth approximation Číslo projektu: IAA100190803 (CEP) Poskytovatel projektu: GA AV ČR Zdrojový dokument: Proceedings of the International Conference Applications of Mathematics 2012, ISBN 978-80-85823-60-8