A periodic basis system of the smooth approximation space

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985840%3A_____%2F15%3A00447688" target="_blank" >RIV/67985840:_____/15:00447688 - isvavai.cz</a>

Výsledek na webu

<a href="http://dx.doi.org/10.1016/j.amc.2015.01.120" target="_blank" >http://dx.doi.org/10.1016/j.amc.2015.01.120</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1016/j.amc.2015.01.120" target="_blank" >10.1016/j.amc.2015.01.120</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A periodic basis system of the smooth approximation space

Popis výsledku v původním jazyce

The paper is primarily devoted to the problem of smooth interpolation of data in 1D. In addition to the exact interpolation of data at nodes, we are also concerned with the smoothness of the interpolating curve and its derivatives. The interpolating curve is defined as the solution of a variational problem with constraints. The system of functions exp(-ikx)exp(-ikx), kk being an integer, is taken for the basis of the space where we measure the smoothness of the result. It also generates the functions used for the interpolation itself. Choosing different norms when measuring the smoothness, we arrive at different interpolating functions. We also mention the problem of smooth curve fitting (data smoothing). We discuss the proper choice of different normsfor this way of approximation and present the results of several 1D numerical examples that show the advantages and drawbacks of smooth interpolation.

Název v anglickém jazyce

A periodic basis system of the smooth approximation space

Popis výsledku anglicky

The paper is primarily devoted to the problem of smooth interpolation of data in 1D. In addition to the exact interpolation of data at nodes, we are also concerned with the smoothness of the interpolating curve and its derivatives. The interpolating curve is defined as the solution of a variational problem with constraints. The system of functions exp(-ikx)exp(-ikx), kk being an integer, is taken for the basis of the space where we measure the smoothness of the result. It also generates the functions used for the interpolation itself. Choosing different norms when measuring the smoothness, we arrive at different interpolating functions. We also mention the problem of smooth curve fitting (data smoothing). We discuss the proper choice of different normsfor this way of approximation and present the results of several 1D numerical examples that show the advantages and drawbacks of smooth interpolation.

Druh

J_x - Nezařazeno - Článek v odborném periodiku (Jimp, Jsc a Jost)

CEP obor

BA - Obecná matematika

OECD FORD obor

—

Projekt

<a href="/cs/project/GA14-02067S" target="_blank" >GA14-02067S: Pokročilé metody pro analýzu proudových polí</a><br>

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2015

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název periodika

Applied Mathematics and Computation

ISSN

0096-3003

e-ISSN

—

Svazek periodika

267

Číslo periodika v rámci svazku

15 September

Stát vydavatele periodika

US - Spojené státy americké

Počet stran výsledku

9

Strana od-do

436-444

Kód UT WoS článku

000361571100035

EID výsledku v databázi Scopus

2-s2.0-84942984284