Institute of Information Theory and Automation

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Conference Paper (international conference)

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

Augusta Petr, Cichy B., Galkowski K., Rogers E.

: Proceedings of the 2015 IEEE 9th International Workshop on Multidimensional (nD) Systems (nDS ), p. 134-139

: The 2015 IEEE 9th International Workshop on MultiDimensional (nD) Systems (nDS) (2015), (Vila Real, PT, 09.09.2015-11.09.2015)

: Discretization, implicit difference scheme, repetitive processes

: 10.1109/NDS.2015.7332655

(eng): 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.

: BC

2019-01-07 08:39