Some remarks on discretisation of spatially invariant systems

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F14%3A00432834" target="_blank" >RIV/67985556:_____/14:00432834 - isvavai.cz</a>
Result on the web
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DOI - Digital Object Identifier
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Result language
angličtina
Original language name
Some remarks on discretisation of spatially invariant systems
Original language description
The paper deals with discretisation of 2-D spatially invariant systems. Three different discretisation schemes are used ? Tustin?s approximation, backward difference scheme and Crank-Nicolson discretisation. Their properties and importance are discussedin the paper. As an example a heat conduction in a rod is considered. Its model discrete in both time and space is obtained using all the above mentioned difference schemes. To determine whether the discrete model converges to the solution, von Neumann analysis of stability is applied to each scheme. The system is stabilised with use of each of obtained discrete models. Numerical simulations are included. Experiments with changing the parameters of discretisation are also given.
Czech name
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Czech description
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Project
<a href="/en/project/GPP103%2F12%2FP494" target="_blank" >GPP103/12/P494: Modelling and control of spatially distributed systems via polynomial approach</a><br>
Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2014
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 19th International Conference on Methods and Models in Automation and Robotics
ISBN
978-1-4799-5082-9
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
474-479
Publisher name
IEEE
Place of publication
Miedzyzdroje
Event location
Miedzyzdroje
Event date
Sep 2, 2014
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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