Multiple Arithmetic in Dynamic System Simulation
The result's identifiers
Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F00216305%3A26230%2F08%3APU76695" target="_blank" >RIV/00216305:26230/08:PU76695 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Alternative languages
Result language
angličtina
Original language name
Multiple Arithmetic in Dynamic System Simulation
Original language description
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. The
Czech name
Více slovní aritmetika v simulaci dynamických systémů
Czech description
Práce obsahuje popis originální matematické metody využívající metodu Taylorovy řady pro řešení diferenciálních rovnic. Metoda Taylorovy řady je ukázána na tuhém systému obyčejných diferenciálních rovnic, kde je rovněž demonstrován vliv víceslovní aritmetiky na přesnost výpočtu.<br>
Classification
Type
D - Article in proceedings
CEP classification
JC - Computer hardware and software
OECD FORD branch
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Result continuities
Project
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Continuities
Z - Vyzkumny zamer (s odkazem do CEZ)
Others
Publication year
2008
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů
Data specific for result type
Article name in the collection
Proceedings UKSim 10th International Conference EUROSIM/UKSim2008
ISBN
0-7695-3114-8
ISSN
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e-ISSN
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Number of pages
2
Pages from-to
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Publisher name
IEEE Computer Society
Place of publication
Cambridge
Event location
Cambridge
Event date
Apr 1, 2008
Type of event by nationality
WRD - Celosvětová akce
UT code for WoS article
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