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 and Dana ČERNÁ

Basic information

Original name

Cubic spline wavelets with short support adapted to the interval

Authors

FINĚK, Václav (203 Czech Republic, guarantor, belonging to the institution) and Dana ČERNÁ (203 Czech Republic)

Edition

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

Publisher

American Institute of Physics

Other information

Language

English

Type of outcome

Proceedings paper

Field of Study

General mathematics

Country of publisher

United States of America

Confidentiality degree

is not subject to a state or trade secret

Publication form

electronic version available online

References:

URL

RIV identification code

RIV/46747885:24510/13:#0001138

Organization

Faculty of Science, Humanities and Education – Technical University of Liberec – Repository

ISSN

UT WoS

000346051300024

Keywords in English

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

Changed: 1/4/2015 08:20, Václav Finěk

Abstract

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.

Cite

FINĚK, Václav and 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, p. 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 and 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, p.~221-226. ISSN~0094-243X.