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An unconditionally stable finite difference scheme systems described by second order partial differential equations
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SYSNO ASEP 0451268 Document Type C - Proceedings Paper (int. conf.) R&D Document Type Conference Paper Title An unconditionally stable finite difference scheme systems described by second order partial differential equations Author(s) Augusta, Petr (UTIA-B) RID
Cichy, B. (PL)
Galkowski, K. (PL)
Rogers, E. (GB)Number of authors 4 Source Title Proceedings of the 2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS ). - Vila Real : IEEE, 2015 - ISBN 978-1-4799-8739-9 Pages s. 134-139 Number of pages 6 s. Publication form Medium - C Action The 2015 IEEE 9th International Workshop on MultiDimensional (nD) Systems (nDS) (2015) Event date 09.09.2015-11.09.2015 VEvent location Vila Real Country PT - Portugal Event type EUR Language eng - English Country PT - Portugal Keywords Discretization ; implicit difference scheme ; repetitive processes Subject RIV BC - Control Systems Theory Institutional support UTIA-B - RVO:67985556 UT WOS 000380460400025 EID SCOPUS 84971472877 DOI 10.1109/NDS.2015.7332655 Annotation 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. Workplace Institute of Information Theory and Automation Contact Markéta Votavová, votavova@utia.cas.cz, Tel.: 266 052 201. Year of Publishing 2016
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