Smooth approximation and its application to some 1D problems

@inProceedings{Segeth2012,
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.},
author = {Segeth, Karel},
booktitle = {Applications of Mathematics 2012},
keywords = {smooth approximation; variational problem with constraints; numerical example; interpolation of scattered data; rational function interpolation},
location = {Prague},
pages = {243-252},
publisher = {Institute of Mathematics AS CR},
title = {Smooth approximation and its application to some 1D problems},
url = {http://eudml.org/doc/287766},
year = {2012},
}

TY - CLSWK
AU - Segeth, Karel
TI - Smooth approximation and its application to some 1D problems
T2 - Applications of Mathematics 2012
PY - 2012
CY - Prague
PB - Institute of Mathematics AS CR
SP - 243
EP - 252
AB - 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.
KW - smooth approximation; variational problem with constraints; numerical example; interpolation of scattered data; rational function interpolation
UR - http://eudml.org/doc/287766
ER -