Publication Details

Parallel Numeric Solution of Differential Equations

NEČASOVÁ Gabriela and ŠÁTEK Václav. Parallel Numeric Solution of Differential Equations. Soláň, 2022.
Czech title
Paralelní numerické řešení diferenciálních rovnic
Type
presentation,poster
Language
english
Authors
Abstract

The contribution deals with the parallel numerical solution of the partial differential equations. 

The method of lines is used to transform the original problem into a large system of ordinary differential equations. The resulting system is solved by a higher-order numerical method based on the Taylor series. The numerical solution is compared with the state-of-the-art PETSc solvers. The results show that Taylor-series-based methods can significantly overperform the state-of-the-art solvers.

Published
2022
Pages
1-1
Conference
High Performance Computing in Science and Engineering 2022, Hotel Soláň, CZ
Place
Soláň, CZ
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