The $star$-product approach for linear ODEs: a numerical study of the scalar case

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10474287" target="_blank" >RIV/00216208:11320/23:10474287 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.21136/panm.2022.17" target="_blank" >https://doi.org/10.21136/panm.2022.17</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.21136/panm.2022.17" target="_blank" >10.21136/panm.2022.17</a>

Result language
angličtina
Original language name
The $star$-product approach for linear ODEs: a numerical study of the scalar case
Original language description
Solving systems of non-autonomous ordinary differential equations (ODE) is a crucial and often challenging problem. Recently a new approach was introduced based on a generalization of the Volterra composition. In this work, we explain the main ideas at the core of this approach in the simpler setting of a scalar ODE. Understanding the scalar case is fundamental since the method can be straightforwardly extended to the more challenging problem of systems of ODEs. Numerical examples illustrate the method's efficacy and properties in the scalar case.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2023
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Programs and Algorithms of Numerical Mathematics 21 Proceedings of Seminar
ISBN
978-80-85823-73-8
ISSN
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e-ISSN
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Number of pages
12
Pages from-to
187-198
Publisher name
Institute of Mathematics CAS
Place of publication
Prague
Event location
Jablonec nad Nisou
Event date
Jun 19, 2022
Type of event by nationality
CST - Celostátní akce
UT code for WoS article
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