An unconditionally stable finite difference scheme systems described by second order partial differential equations

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F67985556%3A_____%2F15%3A00451268" target="_blank" >RIV/67985556:_____/15:00451268 - isvavai.cz</a>
Result on the web
<a href="http://dx.doi.org/10.1109/NDS.2015.7332655" target="_blank" >http://dx.doi.org/10.1109/NDS.2015.7332655</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.1109/NDS.2015.7332655" target="_blank" >10.1109/NDS.2015.7332655</a>

Result language
angličtina
Original language name
An unconditionally stable finite difference scheme systems described by second order partial differential equations
Original language description
An unconditionally stable finite difference scheme for systems whose dynamics are described by a second-order partial differential equation is developed. The scheme is motivated by the well-known Crank-Nicolson discretization which was developed for first-order systems. The stability of the finite-difference scheme is analysed by von Neumann?s method. Using the new scheme, a discrete in time and space model of a deformable mirror is derived as the basis for control law design. The convergence of this scheme for various values of the discretization parameters is checked by numerical simulations.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2015
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

Article name in the collection
Proceedings of the 2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS )
ISBN
978-1-4799-8739-9
ISSN
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e-ISSN
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Number of pages
6
Pages from-to
134-139
Publisher name
IEEE
Place of publication
Vila Real
Event location
Vila Real
Event date
Sep 9, 2015
Type of event by nationality
EUR - Evropská akce
UT code for WoS article
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