Conference paper

KUNOVSKÝ Jiří, PETŘEK Jiří and ŠÁTEK Václav. Multiple Arithmetic in Dynamic System Simulation. In: Proceedings UKSim 10th International Conference EUROSIM/UKSim2008. Cambridge: IEEE Computer Society, 2008, pp. 597-598. ISBN 0-7695-3114-8.
Publication language:english
Original title:Multiple Arithmetic in Dynamic System Simulation
Title (cs):Více slovní aritmetika v simulaci dynamických systémů
Pages:597-598
Proceedings:Proceedings UKSim 10th International Conference EUROSIM/UKSim2008
Conference:10th International Conference on Computer Modelling and Simulation
Place:Cambridge, GB
Year:2008
ISBN:0-7695-3114-8
Publisher:IEEE Computer Society
Keywords
stiff systems, Modern Taylor series method, differential equations, continuous system modelling, multiple arithmetic
Annotation
A very interesting and promising numerical method of solving systems of ordinary differential equations based on Taylor series has appeared. The potential of the Taylor series has been exposed by many practical experiments and a way of detection and solution of large systems of ordinary differential equations has been found. Generally speaking, a stiff system contains several components, some of them are heavily suppressed while the rest remain almost unchanged. This feature forces the used method to choose an extremely small integration step and the progress of the computation may become very slow. There are many (implicit) methods for solving stiff systems of ODE's, from the most simple such as implicit Euler method to more sophisticated (implicit Runge-Kutta methods) and finally the general linear methods. Usually a quite complicated auxiliary system of equations has to be solved in each step. These facts lead to immense amount of work to be done in each step of the computation. These are the reasons why one has to think twice before using the stiff solver and to decide between the stiff and non-stiff solver.
BibTeX:
@INPROCEEDINGS{
   author = {Ji{\v{r}}{\'{i}} Kunovsk{\'{y}} and Ji{\v{r}}{\'{i}}
	Pet{\v{r}}ek and V{\'{a}}clav {\v{S}}{\'{a}}tek},
   title = {Multiple Arithmetic in Dynamic System Simulation},
   pages = {597--598},
   booktitle = {Proceedings UKSim 10th International Conference
	EUROSIM/UKSim2008},
   year = {2008},
   location = {Cambridge, GB},
   publisher = {IEEE Computer Society},
   ISBN = {0-7695-3114-8},
   language = {english},
   url = {http://www.fit.vutbr.cz/research/view_pub.php?id=8597}
}

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