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A survey on numerical methods for the simulation of initial value problems with sDAEs

: Burger, M.; Gerdts, M.


ilchmann, A.:
Surveys in Differential-Algebraic Equations IV
Cham: Springer International Publishing, 2017 (Differential-Algebraic Equations Forum)
ISBN: 978-3-319-46617-0 (Print)
ISBN: 978-3-319-46618-7 (Online)
Aufsatz in Buch
Fraunhofer ITWM ()

This paper provides an overview on numerical aspects in the simulation of differential-algebraic equations (DAEs). Amongst others we discuss the basic construction principles of frequently used discretization schemes, such as BDF methods, Runge–Kutta methods, and ROW methods, as well as their adaption to DAEs. Moreover, topics like consistent initialization, stabilization, parametric sensitivity analysis, co-simulation techniques, aspects of real-time simulation, and contact problems are covered. Finally, some illustrative numerical examples are presented.