Wunderlich, Lena2021-12-172021-12-172005-09-152197-8085https://depositonce.tu-berlin.de/handle/11303/15556http://dx.doi.org/10.14279/depositonce-14329Second order systems of differential-algebraic equations arise naturally in many industrial applications. The classical approach of transforming a second order system into a first order system and then discretizing the first order system may lead to certain numerical difficulties. Therefore, a direct discretization and numerical solution of the second order system is preferred. We study BDF methods, Runge-Kutta methods and general linear methods for the numerical solution of second order differential-algebraic systems in semi-explicit form and demonstrate their behavior with numerical examples.en510 Mathematikdifferential-algebraic equationsemi-explicit systemssecond orderBDFRunge-Kuttageneral linear methodResearch Paper