Numerical Solution of Semi-explicit Systems of Second Order Differential-Algebraic Equations
| dc.contributor.author | Wunderlich, Lena | |
| dc.date.accessioned | 2021-12-17T10:06:23Z | |
| dc.date.available | 2021-12-17T10:06:23Z | |
| dc.date.issued | 2005-09-15 | |
| dc.description.abstract | Second 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. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15556 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14329 | |
| dc.language.iso | en | en |
| dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | en |
| dc.subject.ddc | 510 Mathematik | en |
| dc.subject.other | differential-algebraic equation | en |
| dc.subject.other | semi-explicit systems | en |
| dc.subject.other | second order | en |
| dc.subject.other | BDF | en |
| dc.subject.other | Runge-Kutta | en |
| dc.subject.other | general linear method | en |
| dc.title | Numerical Solution of Semi-explicit Systems of Second Order Differential-Algebraic Equations | en |
| dc.type | Research Paper | en |
| dc.type.version | submittedVersion | en |
| tub.accessrights.dnb | free | en |
| tub.affiliation | Fak. 2 Mathematik und Naturwissenschaften::Inst. Mathematik | de |
| tub.affiliation.faculty | Fak. 2 Mathematik und Naturwissenschaften | de |
| tub.affiliation.institute | Inst. Mathematik | de |
| tub.publisher.universityorinstitution | Technische Universität Berlin | en |
| tub.series.issuenumber | 2005, 24 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 65L80 Methods for differential-algebraic equations | en |
| tub.subject.msc2000 | 65L05 Initial value problems | en |