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Numerical solution ...
Numerical solution methods for implicit Runge-Kutta methods of arbitrarily high order
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- Axelsson, Owe (författare)
- Uppsala universitet,Numerisk analys,Avdelningen för beräkningsvetenskap,The Czech Academy of Sciences, Institute of Geonics, Ostrava, Czech Republic
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- Neytcheva, Maya, Dr, 1956- (författare)
- Uppsala universitet,Numerisk analys,Tillämpad beräkningsvetenskap,Avdelningen för beräkningsvetenskap
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(creator_code:org_t)
- 2020
- 2020
- Engelska.
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Ingår i: Proceedings of the conference Algoritmy 2020. - 9788022750325 ; , s. 11-20
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Abstract
Ämnesord
Stäng
- 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.
Ämnesord
- NATURVETENSKAP -- Matematik -- Beräkningsmatematik (hsv//swe)
- NATURAL SCIENCES -- Mathematics -- Computational Mathematics (hsv//eng)
Nyckelord
- Implicit Runge-Kutta methods
- iterative methods
- preconditioning
- stage-parallel
- Numerical Analysis
- Numerisk analys
Publikations- och innehållstyp
- ref (ämneskategori)
- kon (ämneskategori)
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