Multirate implicit Euler schemes for a class of differential-algebraic equations of index-1

Hachtel, ChristophBartel, AndreasGuenther, MichaelSandu, Adrian2022-02-272022-02-272021-05-150377-0427http://hdl.handle.net/10919/108895Systems of differential equations which consist of subsystems with widely different dynamical behaviour can be integrated by multirate time integration schemes to increase the efficiency. These schemes allow the usage of inherent step sizes according to the dynamical properties of the subsystem. In this paper, we extend the multirate implicit Euler method to semi-explicit differential–algebraic equations of index-1 where the algebraic constraints only occur in the slow changing subsystem. We discuss different coupling approaches and show that consistency and convergence order 1 can be reached. Numerical experiments validate the analytical results.12 page(s)application/pdfenIn CopyrightMathematics, AppliedMathematicsNumerical analysisDifferential-algebraic equationsMultirate time integrationNumerical & Computational Mathematics0102 Applied Mathematics0103 Numerical and Computational Mathematics0906 Electrical and Electronic EngineeringMultirate implicit Euler schemes for a class of differential-algebraic equations of index-1Article - Refereed2022-02-27Journal of Computational and Applied Mathematicshttps://doi.org/10.1016/j.cam.2019.112499387Sandu, Adrian [0000-0002-5380-0103]1879-1778