Přehled o publikaci
2014
Quadratic Spline Wavelets with Short Support for Fourth-Order Problems
ČERNÁ, Dana and Václav FINĚKBasic information
Original name
Quadratic Spline Wavelets with Short Support for Fourth-Order Problems
Authors
ČERNÁ, Dana (203 Czech Republic, belonging to the institution) and Václav FINĚK (203 Czech Republic, belonging to the institution)
Edition
RESULTS IN MATHEMATICS, SWITZERLAND, SPRINGER BASEL, 2014, 1422-6383
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
General mathematics
Country of publisher
Switzerland
Confidentiality degree
is not subject to a state or trade secret
References:
RIV identification code
RIV/46747885:24510/14:#0001120
Organization
Faculty of Science, Humanities and Education – Technical University of Liberec – Repository
UT WoS
000344346500015
Keywords in English
Wavelet; Quadratic spline; homogeneous Dirichlet boundary conditions; condition number; biharmonic equation
Tags
International impact, Reviewed
Links
EE.2.3.20.0086, research and development project.
Changed: 26/3/2015 09:06, Dana Černá
Abstract
V originále
In the paper, we propose constructions of new quadratic spline-wavelet bases on the interval and the unit square satisfying homogeneous Dirichlet boundary conditions of the second order. The basis functions have small supports and wavelets have one vanishing moment. We show that stiffness matrices arising from discretization of the biharmonic problem using a constructed wavelet basis have uniformly bounded condition numbers and these condition numbers are very small.