Taylor Series Based Computations and MATLAB ODE Solvers Comparisons

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F61989100%3A27740%2F13%3A86087704" target="_blank" >RIV/61989100:27740/13:86087704 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1063/1.4825997" target="_blank" >http://dx.doi.org/10.1063/1.4825997</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1063/1.4825997" target="_blank" >10.1063/1.4825997</a>

Result language
angličtina
Original language name
Taylor Series Based Computations and MATLAB ODE Solvers Comparisons
Original language description
The paper deals with possibilities of numerical solution of Ordinary Differential Equations (ODEs) - Initial Value Problems using Taylor series methods with automatic computation of higher Taylor series terms. The explicit and implicit scheme of Taylor series method is compared with numerical solvers implemented in MATLAB software. The computation time and accuracy is compared on the set of ODEs test examples [article - Comparing numerical methods for ordinary differential equations. SIAM and article - Two FORTRAN Packages for Assessing Initial Value Methods].
Czech name
—
Czech description
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Project
<a href="/en/project/EE2.3.30.0055" target="_blank" >EE2.3.30.0055: New creative teams in priorities of scientific research</a><br>
Continuities
P - Projekt vyzkumu a vyvoje financovany z verejnych zdroju (s odkazem do CEP)

Publication year
2013
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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