Strong Stability Preserving Runge-Kutta And Multistep Time Discretizations, Gottlieb Sigal Et Al

Автор: Insperger
Название: Semi-Discretization for Time-Delay Systems
ISBN: 1461403340 ISBN-13(EAN): 9781461403340
Издательство: Springer
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Описание: This book presents the recently introduced and already widely referred semi-discretization method for the stability analysis of delayed dynamical systems. Delay differential equations often come up in different fields of engineering, like feedback control systems, machine tool vibrations, balancing/stabilization with reflex delay. The behavior of such systems is often counter-intuitive and closed form analytical formulas can rarely be given even for the linear stability conditions. If parametric excitation is coupled with the delay effect, then the governing equation is a delay differential equation with time periodic coefficients, and the stability properties are even more intriguing. The semi-discretization method is a simple but efficient method that is based on the discretization with respect to the delayed term and the periodic coefficients only. The method can effectively be used to construct stability diagrams in the space of system parameters.

Автор: Douglas N. Arnold; Pavel B. Bochev; Richard B. Leh
Название: Compatible Spatial Discretizations
ISBN: 1493901974 ISBN-13(EAN): 9781493901975
Издательство: Springer
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Описание: The IMA Hot Topics workshop on compatible spatialdiscretizations was held in 2004. A unique feature is the inclusion of work that is representative of the recent developments in compatible discretizations across a wide spectrum of disciplines in computational science.