Index reduction for differential-algebraic equations by minimal extension
| dc.contributor.author | Kunkel, Peter | |
| dc.contributor.author | Mehrmann, Volker | |
| dc.date.accessioned | 2021-12-17T10:18:35Z | |
| dc.date.available | 2021-12-17T10:18:35Z | |
| dc.date.issued | 2001-12-06 | |
| dc.description.abstract | In this paper a new index reduction technique is discussed for the treatment of differential-algebraic systems for which extra structural information is available. Based on this information reduced derivative arrays are formed and instead of using expensive subspace computations the index reduction is obtained by introducing new variables. The new approach is demonstrated for several important classes of differential-algebraic systems, where the structural information is available. These include multibody systems and circuit simulation problems. The effectiveness of the new approach is demonstrated via numerical examples. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15975 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14748 | |
| 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 | index reduction | en |
| dc.subject.other | minimal extension | en |
| dc.subject.other | circuit simulation | en |
| dc.subject.other | multibody system | en |
| dc.subject.other | strangeness index | en |
| dc.subject.other | regularization | en |
| dc.title | Index reduction for differential-algebraic equations by minimal extension | 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 | 2001, 719 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 65L05 Initial value problems | en |
| tub.subject.msc2000 | 34H05 Control problems | en |