Cubic spline wavelets with short support adapted to the
interval

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Cubic spline wavelets with short support adapted to the interval

Přehled o publikaci

D 2013

Cubic spline wavelets with short support adapted to the interval

FINĚK, Václav a Dana ČERNÁ

Základní údaje

Originální název

Cubic spline wavelets with short support adapted to the interval

Autoři

FINĚK, Václav (203 Česká republika, garant, domácí) a Dana ČERNÁ (203 Česká republika)

Vydání

MELVILLE, NY 11747-4501 USA, APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'13), AIP Conference Proceedings, Vol. 1570, od s. 221-226, 6 s. 2013

Nakladatel

American Institute of Physics

Další údaje

Jazyk

angličtina

Typ výsledku

Stať ve sborníku

Obor

Obecná matematika

Stát vydavatele

Spojené státy

Utajení

není předmětem státního či obchodního tajemství

Forma vydání

elektronická verze "online"

Odkazy

URL

Kód RIV

RIV/46747885:24510/13:#0001138

Organizace

Fakulta přírodovědně-humanitní a pedagogická – Technická univerzita v Liberci – Repozitář

ISSN

UT WoS

000346051300024

Klíčová slova anglicky

Cubic wavelets; B-splines; numerical methods; differential equations

Změněno: 1. 4. 2015 08:20, Václav Finěk

Anotace

V originále

Wavelets with the short support and with vanishing moments which form well-conditioned basis are of interest for solving differential equations numerically. The condition number of wavelet bases on the interval depends on the length of the support and it can be further significantly influenced by a proper construction of boundary wavelets. Few years ago, B. Han and Z. Shen constructed Riesz wavelet bases of the space L-2(R) with the shortest possible support and with m vanishing moments based on B-spline of order m. In this contribution, we start with their another wavelet with two vanishing moments based on cubic B-splines and propose an adaptation of this basis to the interval.

Citovat

FINĚK, Václav a Dana ČERNÁ. Cubic spline wavelets with short support adapted to the interval. Online. In Venkov, G; Pasheva, V. APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'13), AIP Conference Proceedings, Vol. 1570. MELVILLE, NY 11747-4501 USA: American Institute of Physics, 2013, s. 221-226. ISSN 0094-243X.

@inproceedings{18219,
   author = {Finěk, Václav and Černá, Dana},
   address = {MELVILLE, NY 11747-4501 USA},
   booktitle = {APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'13), AIP Conference Proceedings, Vol. 1570},
   editor = {Venkov, G; Pasheva, V},
   keywords = {Cubic wavelets; B-splines; numerical methods; differential equations},
   howpublished = {elektronická verze "online"},
   language = {eng},
   location = {MELVILLE, NY 11747-4501 USA},
   pages = {221-226},
   publisher = {American Institute of Physics},
   title = {Cubic spline wavelets with short support adapted to the interval},
   url = {http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4854759},
   year = {2013}
}

TY  - CONF
ID  - 18219
AU  - Finěk, Václav - Černá, Dana
PY  - 2013
TI  - Cubic spline wavelets with short support adapted to the interval
PB  - American Institute of Physics
CY  - MELVILLE, NY 11747-4501 USA
KW  - Cubic wavelets
KW  - B-splines
KW  - numerical methods
KW  - differential equations
UR  - http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4854759
L2  - http://scitation.aip.org/content/aip/proceeding/aipcp/10.1063/1.4854759
N2  - Wavelets with the short support and with vanishing moments which form well-conditioned basis are of interest for solving differential equations numerically. The condition number of wavelet bases on the interval depends on the length of the support and it can be further significantly influenced by a proper construction of boundary wavelets. Few years ago, B. Han and Z. Shen constructed Riesz wavelet bases of the space L-2(R) with the shortest possible support and with m vanishing moments based on B-spline of order m. In this contribution, we start with their another wavelet with two vanishing moments based on cubic B-splines and propose an adaptation of this basis to the interval.
ER  -

FINĚK, Václav a Dana ČERNÁ. Cubic spline wavelets with short support adapted to the interval. Online. In Venkov, G; Pasheva, V. \textit{APPLICATIONS OF MATHEMATICS IN ENGINEERING AND ECONOMICS (AMEE'13), AIP Conference Proceedings, Vol. 1570}. MELVILLE, NY 11747-4501 USA: American Institute of Physics, 2013, s.~221-226. ISSN~0094-243X.