Efficient integration of matrix-valued non-stiff DAEs by half-explicit methods
| dc.contributor.author | Linh, Vu Hoang | |
| dc.contributor.author | Mehrmann, Volker | |
| dc.date.accessioned | 2021-12-17T10:09:35Z | |
| dc.date.available | 2021-12-17T10:09:35Z | |
| dc.date.issued | 2011-08-29 | |
| dc.description.abstract | Numerical integration methods for nonlinear differential-algebraic equations (DAEs) in strangeness-free form are studied. In particular, half-explicit methods based on popular explicit methods like one-leg methods, linear multi-step methods, and Runge-Kutta methods are proposed and analyzed. Compared with well-known implicit methods for DAEs, these half-explicit methods demonstrate their efficiency particularly for a special class of semi-linear matrix DAEs which arise in the numerical computation of spectral intervals for DAEs. Numerical experiments illustrate the theoretical results. | en |
| dc.identifier.issn | 2197-8085 | |
| dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15714 | |
| dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14487 | |
| 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 | strangeness index | en |
| dc.subject.other | half-explicit methods | en |
| dc.subject.other | one-leg methods | en |
| dc.subject.other | linear multi-step methods | en |
| dc.subject.other | Runge-Kutta methods | en |
| dc.subject.other | spectral intervals | en |
| dc.title | Efficient integration of matrix-valued non-stiff DAEs by half-explicit methods | 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 | 2011, 16 | en |
| tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
| tub.subject.msc2000 | 65L07 Numerical investigation of stability of solutions | en |
| tub.subject.msc2000 | 65L80 Methods for differential-algebraic equations | en |
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