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

Result code in IS VaVaI

RIV/67985556:_____/15:00451268 - isvavai.cz

Result on the web

http://dx.doi.org/10.1109/NDS.2015.7332655

DOI - Digital Object Identifier

10.1109/NDS.2015.7332655

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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Type

D - Article in proceedings

CEP classification

BC - Theory and management systems

OECD FORD branch

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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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