Numerical solution methods for implicit Runge-Kutta methods of arbitrarily high order

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F68145535%3A_____%2F20%3A00559355" target="_blank" >RIV/68145535:_____/20:00559355 - isvavai.cz</a>
Result on the web
<a href="http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/download/1546/810" target="_blank" >http://www.iam.fmph.uniba.sk/amuc/ojs/index.php/algoritmy/article/download/1546/810</a>
DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Numerical solution methods for implicit Runge-Kutta methods of arbitrarily high order
Original language description
In this study we consider an efficient implementation of Implicit Runge-Kutta methods for solving large systems of ordinary differential equations that originate from finite element discretization of the heat and similar equations, to be solved on large time intervals. The main contribution of this work is to show how to implement a fully stage-parallel version of the method, utilizing the dominance of the block lower triangular part of the quadrature matrix, and to illustrate it numerically. Its usage for the solution of algebraic-differential equations is also touched.
Czech name
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Czech description
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Project
<a href="/en/project/LQ1602" target="_blank" >LQ1602: IT4Innovations excellence in science</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2020
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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