Stability and error of the variable two-step BDF for parabolic problems
dc.contributor.author | Emmrich, Etienne | |
dc.date.accessioned | 2021-12-17T10:17:15Z | |
dc.date.available | 2021-12-17T10:17:15Z | |
dc.date.issued | 2000-11-01 | |
dc.description.abstract | The temporal discretisation of a moderate semilinear parabolic problem in an abstract setting by means of the two-step backward differentiation formula with variable step sizes is analysed. Stability as well as optimal error estimates are derived for step size ratios bounded by 1.91. | en |
dc.identifier.issn | 2197-8085 | |
dc.identifier.uri | https://depositonce.tu-berlin.de/handle/11303/15948 | |
dc.identifier.uri | http://dx.doi.org/10.14279/depositonce-14721 | |
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 | semilinear parabolic problem | en |
dc.subject.other | time discretisation | en |
dc.subject.other | backward differentiation formula | en |
dc.subject.other | non-uniform grid | en |
dc.subject.other | stability | en |
dc.subject.other | error estimate | en |
dc.title | Stability and error of the variable two-step BDF for parabolic problems | 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 | 2000, 703 | en |
tub.series.name | Preprint-Reihe des Instituts für Mathematik, Technische Universität Berlin | en |
tub.subject.msc2000 | 65M12 Stability and convergence of numerical methods | en |
tub.subject.msc2000 | 65J15 Equations with nonlinear operators | en |
tub.subject.msc2000 | 35K90 Abstract parabolic evolution equations | en |
tub.subject.msc2000 | 47J35 Nonlinear evolution equations | en |
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