Magnus integrator and successive approximation for solving time-dependent problems
dc.contributor.author | Geiser, Jürgen | |
dc.date.accessioned | 2017-06-15T18:25:54Z | |
dc.date.available | 2017-06-15T18:25:54Z | |
dc.date.created | 2011-09-27 | |
dc.date.issued | 2011-09-27 | |
dc.identifier.issn | 0863-0976 | |
dc.identifier.uri | http://edoc.hu-berlin.de/18452/3479 | |
dc.description.abstract | Magnus integrator and successive approximation for solving time-dependent problems. The Magnus expansion has been intensely studied and widely applied for solving explicitly time-dependent problems. Due to its exponential character, it is rather difficult to derive practical algorithms beyond the sixth-order. An alternative method is based on successive approximation methods, that taken into account the temporally inhomogeneous equation (method of Tanabe and Sobolevski). In this work, we show that the recently derived ideas of the successive approximation method in a splitting method. Examples are discussed. | eng |
dc.language.iso | eng | |
dc.publisher | Humboldt-Universität zu Berlin, Mathematisch-Naturwissenschaftliche Fakultät II, Institut für Mathematik | |
dc.rights.uri | http://rightsstatements.org/vocab/InC/1.0/ | |
dc.subject | Magnus Integrator Successive Approximation exponential splitting | eng |
dc.subject.ddc | 510 Mathematik | |
dc.title | Magnus integrator and successive approximation for solving time-dependent problems | |
dc.type | book | |
dc.identifier.urn | urn:nbn:de:kobv:11-100193433 | |
dc.identifier.doi | http://dx.doi.org/10.18452/2827 | |
local.edoc.pages | 28 | |
local.edoc.type-name | Buch | |
local.edoc.container-type | series | |
local.edoc.container-type-name | Schriftenreihe | |
local.edoc.container-year | 2010 | |
dc.identifier.zdb | 2075199-0 | |
bua.series.name | Preprints aus dem Institut für Mathematik | |
bua.series.issuenumber | 2010,10 |