A ⋆-product solver with spectral accuracy for non-autonomous ordinary differential equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10474089" target="_blank" >RIV/00216208:11320/23:10474089 - isvavai.cz</a>
Result on the web
<a href="https://doi.org/10.1002/pamm.202200050" target="_blank" >https://doi.org/10.1002/pamm.202200050</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1002/pamm.202200050" target="_blank" >10.1002/pamm.202200050</a>

Result language
angličtina
Original language name
A ⋆-product solver with spectral accuracy for non-autonomous ordinary differential equations
Original language description
A new method for solving non-autonomous ordinary differential equations is proposed, the method achieves spectral accuracy. It is based on a new result which expresses the solution of such ODEs as an element in the so called STAR OPERATOR-algebra. This algebra is equipped with a product, the STAR OPERATOR-product, which is the integral over the usual product of two bivariate distributions. Expanding the bivariate distributions in bases of Legendre polynomials leads to a discretization of the STAR OPERATOR-product and this allows for the solution to be approximated by a vector that is obtained by solving a linear system of equations. The effectiveness of this approach is illustrated with numerical experiments.
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
92nd Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM)
ISBN
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ISSN
1617-7061
e-ISSN
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Number of pages
6
Pages from-to
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Publisher name
John Wiley & Sons, Inc.
Place of publication
Neuveden
Event location
RWTH Aachen University
Event date
Aug 15, 2022
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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