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Contributions to Proceedings:

J. Kopriva, J. Kunovsky, V. Satek, M. Drozdova, A. Schirrer:
"Parallel Computations Based on Automatic Transformation of Ordinary Differential Equations";
in: "AIP Conference Proceedings", issued by: AIP Publishing; AIP Proceedings, 2013, ISBN: 978-0-7354-1184-5, 2293 - 2296.



English abstract:
The paper is a part of student cooperation in AKTION project (Austria-Czech). Theoretical work on the numerical solution of ordinary differential equations by the Taylor series method has been going on for a number of years. The simulation language TKSL has been created to test the properties of the technical initial problems and to test an algorithm for Taylor series method [1].
The Residue Number System (RNS) has great potential for accelerating arithmetic operation, achieved by breaking operands into several residues and computing with them independently.

Keywords:
Ordinary Differential Equations, Taylor Series Method, TKSL, Residue Number System, Montgomery Multiplication


"Official" electronic version of the publication (accessed through its Digital Object Identifier - DOI)
http://dx.doi.org/10.1063/1.4825998


Created from the Publication Database of the Vienna University of Technology.