A Note on Preconditioning for Singularly Perturbed Problems Discretized by Wavelets

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F46747885%3A24510%2F15%3A%230001297" target="_blank" >RIV/46747885:24510/15:#0001297 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.4912437" target="_blank" >http://dx.doi.org/10.1063/1.4912437</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4912437" target="_blank" >10.1063/1.4912437</a>

Result language
angličtina
Original language name
A Note on Preconditioning for Singularly Perturbed Problems Discretized by Wavelets
Original language description
In the modeling of boundary value problems for singularly perturbed differential equations, one can observe boundary and interior layers whose width can be arbitrary small. To solve such types of problems a lot of methods were proposed. In this contribution, we focus on methods based on wavelets. Using wavelet discretization of singularly perturbed two-point boundary value problems, one can observe that the condition numbers of the arising stiffness matrices are growing with decreasing parameter e. We show here that a matrix splitting can stabilize the condition numbers of the stiffness matrices for small values of parameter e. Numerical examples are given
Czech name
—
Czech description
—

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
PROCEEDINGS OF THE INTERNATIONAL CONFERENCE OF NUMERICAL ANALYSIS AND APPLIED MATHEMATICS 2014 (ICNAAM-2014), AIP Conference Proceedings 1648
ISBN
9780735412873
ISSN
0094-243X
e-ISSN
—
Number of pages
4
Pages from-to
—
Publisher name
AMER INST PHYSICS
Place of publication
USA
Event location
Rhodes, GREECE
Event date
Sep 22, 2014
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
000355339701005

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