A new matrix equation expression for the solution of non-autonomous linear systems of ODEs

Kód výsledku v IS VaVaI

<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216208%3A11320%2F23%3A10474087" target="_blank" >RIV/00216208:11320/23:10474087 - isvavai.cz</a>

Výsledek na webu

<a href="https://doi.org/10.1002/pamm.202200117" target="_blank" >https://doi.org/10.1002/pamm.202200117</a>

DOI - Digital Object Identifier

<a href="http://dx.doi.org/10.1002/pamm.202200117" target="_blank" >10.1002/pamm.202200117</a>

Jazyk výsledku

angličtina

Název v původním jazyce

A new matrix equation expression for the solution of non-autonomous linear systems of ODEs

Popis výsledku v původním jazyce

The solution of systems of non-autonomous linear ordinary differential equations is crucial in a variety of applications, suchus nuclear magnetic resonance spectroscopy. A new method with spectral accuracy has been recently introduced in the scalar case. The method is based on a product that generalizes the convolution. In this work, we show that it is possible to extend the method to solve systems of non-autonomous linear ordinary differential equations (ODEs). In this new approach, the ODE solution can be expressed through a linear system that can be equivalently rewritten as a matrix equation. Numerical examples illustrate the method&apos;s efficacy and the low-rank property of the matrix equation solution.

Název v anglickém jazyce

A new matrix equation expression for the solution of non-autonomous linear systems of ODEs

Popis výsledku anglicky

The solution of systems of non-autonomous linear ordinary differential equations is crucial in a variety of applications, suchus nuclear magnetic resonance spectroscopy. A new method with spectral accuracy has been recently introduced in the scalar case. The method is based on a product that generalizes the convolution. In this work, we show that it is possible to extend the method to solve systems of non-autonomous linear ordinary differential equations (ODEs). In this new approach, the ODE solution can be expressed through a linear system that can be equivalently rewritten as a matrix equation. Numerical examples illustrate the method&apos;s efficacy and the low-rank property of the matrix equation solution.

Druh

D - Stať ve sborníku

CEP obor

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OECD FORD obor

10102 - Applied mathematics

Projekt

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Návaznosti

I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Rok uplatnění

2023

Kód důvěrnosti údajů

S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Název statě ve sborníku

A Special Issue on ‘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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Počet stran výsledku

6

Strana od-do

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Název nakladatele

John Wiley &amp; Sons, Inc.

Místo vydání

Neuveden

Místo konání akce

RWTH Aachen University

Datum konání akce

15. 8. 2022

Typ akce podle státní příslušnosti

WRD - Celosvětová akce

Kód UT WoS článku

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