Přehled o publikaci
2014
Cubic spline wavelets with short support for fourth-order problems
ČERNÁ, Dana and Václav FINĚKBasic information
Original name
Cubic spline wavelets with short support for fourth-order problems
Authors
ČERNÁ, Dana (203 Czech Republic, guarantor, belonging to the institution) and Václav FINĚK (203 Czech Republic, belonging to the institution)
Edition
APPLIED MATHEMATICS AND COMPUTATION, ELSEVIER SCIENCE, 2014, 0096-3003
Other information
Language
English
Type of outcome
Article in a journal
Field of Study
General mathematics
Country of publisher
United States of America
Confidentiality degree
is not subject to a state or trade secret
References:
RIV identification code
RIV/46747885:24510/14:#0001119
Organization
Faculty of Science, Humanities and Education – Technical University of Liberec – Repository
UT WoS
000340563800005
Keywords in English
Wavelet; Cubic spline; Homogeneous Dirichlet boundary conditions; Condition number; Biharmonic problem
Tags
International impact, Reviewed
Changed: 26/3/2015 09:01, Dana Černá
Abstract
V originále
In the paper, we propose a construction of new cubic spline-wavelet bases on the unit cube satisfying homogeneous Dirichlet boundary conditions of the second order. The basis functions have small supports and wavelets have vanishing moments. 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. We present quantitative properties of the constructed bases and we show a superiority of our construction in comparison to some other cubic spline wavelet bases satisfying boundary conditions of the same type.