Naslov
Polynomial WENO approximation with applications

Autori
Crnković, Bojan ; Črnjarić-Žic, Nelida

Vrsta, podvrsta i kategorija rada
Sažeci sa skupova, sažetak, ostalo

Izvornik
5th Croatian Mathematical Congress / Crnković, Dean ; Mikulić Crnković, Vedrana ; Rukavina, Sanja - Rijeka : Fakultet za matematiku Sveučilišta u Rijeci, 2012

ISBN
978-953-7720-13-1

Skup
5th Croatian Mathematical Congress

Mjesto i datum
Hrvatska, 18.06.2012. - 21.06.2012

Vrsta sudjelovanja
Poster

Vrsta recenzije
Domaća recenzija

Ključne riječi
WENO; PDE; approximation

Sažetak
Weighted essentially non-oscillatory (WENO) procedure is used for a non– oscillatory approximation of a function. The typical WENO procedure con- structs a rational approximation of a function v(x) based on known cell aver- ages of function v(x). This approximation is essentially non-oscillatory and high order accurate for smooth enough function v(x). However, the approximating rational function obtained by the classical WENO reconstruction contains poles. Therefore, if one needs to obtain a value of function v(x) in the interior of the numerical cell, the standard WENO procedure neads special treatment to over- come instabilities that can occur. We will present a new polynomial version of the WENO procedure that provides an elegant solution to this problem by constructing an approximating polynomial that is smooth, non-oscillatory and high order accurate not only at the cell boundaries but in the entire numerical cell.

Izvorni jezik
Engleski

Znanstvena područja
Matematika

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