On cubature rules associated to weyl group orbit functions

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60461373%3A22340%2F16%3A43902512" target="_blank" >RIV/60461373:22340/16:43902512 - isvavai.cz</a>

Výsledek na webu

<a href="https://ojs.cvut.cz/ojs/index.php/ap/article/view/3457" target="_blank" >https://ojs.cvut.cz/ojs/index.php/ap/article/view/3457</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.14311/AP.2016.56.0202" target="_blank" >10.14311/AP.2016.56.0202</a>

Jazyk výsledku

angličtina

Název v původním jazyce

On cubature rules associated to weyl group orbit functions

Popis výsledku v původním jazyce

The aim of this article is to describe several cubature formulas related to the Weyl group orbit functions, i.e. to the special cases of the Jacobi polynomials associated to root systems. The diagram containing the relations among the special functions associated to the Weyl group orbit functions is presented and the link between the Weyl group orbit functions and the Jacobi polynomials is explicitly derived in full generality. The four cubature rules corresponding to these polynomials are summarized for all simple Lie algebras and their properties simultaneously tested on model functions. The Clenshaw-Curtis method is used to obtain additional formulas connected with the simple Lie algebra C2. ? Czech Technical University in Prague, 2016.

Název v anglickém jazyce

On cubature rules associated to weyl group orbit functions

Popis výsledku anglicky

The aim of this article is to describe several cubature formulas related to the Weyl group orbit functions, i.e. to the special cases of the Jacobi polynomials associated to root systems. The diagram containing the relations among the special functions associated to the Weyl group orbit functions is presented and the link between the Weyl group orbit functions and the Jacobi polynomials is explicitly derived in full generality. The four cubature rules corresponding to these polynomials are summarized for all simple Lie algebras and their properties simultaneously tested on model functions. The Clenshaw-Curtis method is used to obtain additional formulas connected with the simple Lie algebra C2. ? Czech Technical University in Prague, 2016.

Druh

J_imp - Článek v periodiku v databázi Web of Science

CEP obor

—

OECD FORD obor

10102 - Applied mathematics

Projekt

—

Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2016

Kód důvěrnosti údajů

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

Název periodika

Acta Polytechnica, Journal of Advanced Engineering

ISSN

1210-2709

e-ISSN

—

Svazek periodika

56

Číslo periodika v rámci svazku

3

Stát vydavatele periodika

CZ - Česká republika

Počet stran výsledku

12

Strana od-do

202-213

Kód UT WoS článku

000411578900006

EID výsledku v databázi Scopus

2-s2.0-84977495776