Verfügbarkeit: Strong and weak approximation of semilinear stochastic evolution equations

Strong and weak approximation of semilinear stochastic evolution equations:

Gespeichert in:

Bibliographische Detailangaben
Beteilige Person:	Kruse, Raphael 1983- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	Englisch
Veröffentlicht:	Cham [u.a.] Springer 2014
Schriftenreihe:	Lecture notes in mathematics 2093
Schlagwörter:	Evolutionsgleichung Approximation Stochastische Differentialgleichung Hochschulschrift
Links:	https://doi.org/10.1007/978-3-319-02231-4 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027002523&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027002523&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
Beschreibung:	Literaturverz. S. 171 - 174
Umfang:	1 Online-Ressource (XIV, 177 S.) graph. Darst.
ISBN:	9783319022314
DOI:	10.1007/978-3-319-02231-4

Internformat

MARC


LEADER	00000nam a2200000 cb4500
001	BV041556920
003	DE-604
005	20150129
007	cr\|uuu---uuuuu
008	140114s2014 xx d\|\|\| o\|\|\|\| 00\|\|\| eng d
020			\|a 9783319022314 \|c eBook \|9 978-3-319-02231-4
024	7		\|a 10.1007/978-3-319-02231-4 \|2 doi
035			\|a (OCoLC)868317985
035			\|a (DE-599)BVBBV041556920
040			\|a DE-604 \|b ger
041	0		\|a eng
049			\|a DE-824 \|a DE-91 \|a DE-384 \|a DE-703 \|a DE-19 \|a DE-739 \|a DE-20 \|a DE-634 \|a DE-861 \|a DE-83
082	0		\|a 518
084			\|a SI 850 \|0 (DE-625)143199: \|2 rvk
084			\|a MAT 359f \|2 stub
084			\|a MAT 606f \|2 stub
084			\|a MAT 674f \|2 stub
084			\|a MAT 000 \|2 stub
100	1		\|a Kruse, Raphael \|d 1983- \|e Verfasser \|0 (DE-588)102879407X \|4 aut
245	1	0	\|a Strong and weak approximation of semilinear stochastic evolution equations \|c Raphael Kruse
264		1	\|a Cham [u.a.] \|b Springer \|c 2014
300			\|a 1 Online-Ressource (XIV, 177 S.) \|b graph. Darst.
336			\|b txt \|2 rdacontent
337			\|b c \|2 rdamedia
338			\|b cr \|2 rdacarrier
490	1		\|a Lecture notes in mathematics \|v 2093
500			\|a Literaturverz. S. 171 - 174
650	0	7	\|a Evolutionsgleichung \|0 (DE-588)4129061-6 \|2 gnd \|9 rswk-swf
650	0	7	\|a Approximation \|0 (DE-588)4002498-2 \|2 gnd \|9 rswk-swf
650	0	7	\|a Stochastische Differentialgleichung \|0 (DE-588)4057621-8 \|2 gnd \|9 rswk-swf
655		7	\|8 1\p \|0 (DE-588)4113937-9 \|a Hochschulschrift \|2 gnd-content
689	0	0	\|a Stochastische Differentialgleichung \|0 (DE-588)4057621-8 \|D s
689	0	1	\|a Evolutionsgleichung \|0 (DE-588)4129061-6 \|D s
689	0	2	\|a Approximation \|0 (DE-588)4002498-2 \|D s
689	0		\|5 DE-604
776	0	8	\|i Erscheint auch als \|n Druck-Ausgabe, Paperback \|z 978-3-319-02230-7
830		0	\|a Lecture notes in mathematics \|v 2093 \|w (DE-604)BV014303148 \|9 2093
856	4	0	\|u https://doi.org/10.1007/978-3-319-02231-4 \|x Verlag \|3 Volltext
856	4	2	\|m Springer Fremddatenuebernahme \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027002523&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA \|3 Inhaltsverzeichnis
856	4	2	\|m Springer Fremddatenuebernahme \|q application/pdf \|u http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027002523&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA \|3 Abstract
912			\|a ZDB-2-LNM
912			\|a ZDB-2-SMA
883	1		\|8 1\p \|a cgwrk \|d 20201028 \|q DE-101 \|u https://d-nb.info/provenance/plan#cgwrk
943	1		\|a oai:aleph.bib-bvb.de:BVB01-027002523

Datensatz im Suchindex

DE-BY-TUM_katkey	1975934
_version_	1821935185004855296
adam_text	STRONG AND WEAK APPROXIMATION OF SEMILINEAR STOCHASTIC EVOLUTION EQUATIONS / KRUSE, RAPHAEL : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS INTRODUCTION STOCHASTIC EVOLUTION EQUATIONS IN HILBERT SPACES OPTIMAL STRONG ERROR ESTIMATES FOR GALERKIN FINITE ELEMENT METHODS A SHORT REVIEW OF THE MALLIAVIN CALCULUS IN HILBERT SPACES A MALLIAVIN CALCULUS APPROACH TO WEAK CONVERGENCE NUMERICAL EXPERIMENTS SOME USEFUL VARIATIONS OF GRONWALL’S LEMMA RESULTS ON SEMIGROUPS AND THEIR INFINITESIMAL GENERATORS A GENERALIZED VERSION OF LEBESGUE’S THEOREM REFERENCES INDEX DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. STRONG AND WEAK APPROXIMATION OF SEMILINEAR STOCHASTIC EVOLUTION EQUATIONS / KRUSE, RAPHAEL : 2014 ABSTRACT / INHALTSTEXT IN THIS BOOK WE ANALYZE THE ERROR CAUSED BY NUMERICAL SCHEMES FOR THE APPROXIMATION OF SEMILINEAR STOCHASTIC EVOLUTION EQUATIONS (SEEQ) IN A HILBERT SPACE-VALUED SETTING. THE NUMERICAL SCHEMES CONSIDERED COMBINE GALERKIN FINITE ELEMENT METHODS WITH EULER-TYPE TEMPORAL APPROXIMATIONS. STARTING FROM A PRECISE ANALYSIS OF THE SPATIO-TEMPORAL REGULARITY OF THE MILD SOLUTION TO THE SEEQ, WE DERIVE AND PROVE OPTIMAL ERROR ESTIMATES OF THE STRONG ERROR OF CONVERGENCE IN THE FIRST PART OF THE BOOK. THE SECOND PART DEALS WITH A NEW APPROACH TO THE SO-CALLED WEAK ERROR OF CONVERGENCE, WHICH MEASURES THE DISTANCE BETWEEN THE LAW OF THE NUMERICAL SOLUTION AND THE LAW OF THE EXACT SOLUTION. THIS APPROACH IS BASED ON BISMUT’S INTEGRATION BY PARTS FORMULA AND THE MALLIAVIN CALCULUS FOR INFINITE DIMENSIONAL STOCHASTIC PROCESSES. THESE TECHNIQUES ARE DEVELOPED AND EXPLAINED IN A SEPARATE CHAPTER, BEFORE THE WEAK CONVERGENCE IS PROVEN FOR LINEAR SEEQ DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
any_adam_object	1
author	Kruse, Raphael 1983-
author_GND	(DE-588)102879407X
author_facet	Kruse, Raphael 1983-
author_role	aut
author_sort	Kruse, Raphael 1983-
author_variant	r k rk
building	Verbundindex
bvnumber	BV041556920
classification_rvk	SI 850
classification_tum	MAT 359f MAT 606f MAT 674f MAT 000
collection	ZDB-2-LNM ZDB-2-SMA
ctrlnum	(OCoLC)868317985 (DE-599)BVBBV041556920
dewey-full	518
dewey-hundreds	500 - Natural sciences and mathematics
dewey-ones	518 - Numerical analysis
dewey-raw	518
dewey-search	518
dewey-sort	3518
dewey-tens	510 - Mathematics
discipline	Mathematik
doi_str_mv	10.1007/978-3-319-02231-4
format	Electronic eBook
fullrecord	<?xml version="1.0" encoding="UTF-8"?><collection xmlns="http://www.loc.gov/MARC21/slim"><record><leader>02578nam a2200553 cb4500</leader><controlfield tag="001">BV041556920</controlfield><controlfield tag="003">DE-604</controlfield><controlfield tag="005">20150129 </controlfield><controlfield tag="007">cr\|uuu---uuuuu</controlfield><controlfield tag="008">140114s2014 xx d\|\|\| o\|\|\|\| 00\|\|\| eng d</controlfield><datafield tag="020" ind1=" " ind2=" "><subfield code="a">9783319022314</subfield><subfield code="c">eBook</subfield><subfield code="9">978-3-319-02231-4</subfield></datafield><datafield tag="024" ind1="7" ind2=" "><subfield code="a">10.1007/978-3-319-02231-4</subfield><subfield code="2">doi</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(OCoLC)868317985</subfield></datafield><datafield tag="035" ind1=" " ind2=" "><subfield code="a">(DE-599)BVBBV041556920</subfield></datafield><datafield tag="040" ind1=" " ind2=" "><subfield code="a">DE-604</subfield><subfield code="b">ger</subfield></datafield><datafield tag="041" ind1="0" ind2=" "><subfield code="a">eng</subfield></datafield><datafield tag="049" ind1=" " ind2=" "><subfield code="a">DE-824</subfield><subfield code="a">DE-91</subfield><subfield code="a">DE-384</subfield><subfield code="a">DE-703</subfield><subfield code="a">DE-19</subfield><subfield code="a">DE-739</subfield><subfield code="a">DE-20</subfield><subfield code="a">DE-634</subfield><subfield code="a">DE-861</subfield><subfield code="a">DE-83</subfield></datafield><datafield tag="082" ind1="0" ind2=" "><subfield code="a">518</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">SI 850</subfield><subfield code="0">(DE-625)143199:</subfield><subfield code="2">rvk</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 359f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 606f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 674f</subfield><subfield code="2">stub</subfield></datafield><datafield tag="084" ind1=" " ind2=" "><subfield code="a">MAT 000</subfield><subfield code="2">stub</subfield></datafield><datafield tag="100" ind1="1" ind2=" "><subfield code="a">Kruse, Raphael</subfield><subfield code="d">1983-</subfield><subfield code="e">Verfasser</subfield><subfield code="0">(DE-588)102879407X</subfield><subfield code="4">aut</subfield></datafield><datafield tag="245" ind1="1" ind2="0"><subfield code="a">Strong and weak approximation of semilinear stochastic evolution equations</subfield><subfield code="c">Raphael Kruse</subfield></datafield><datafield tag="264" ind1=" " ind2="1"><subfield code="a">Cham [u.a.]</subfield><subfield code="b">Springer</subfield><subfield code="c">2014</subfield></datafield><datafield tag="300" ind1=" " ind2=" "><subfield code="a">1 Online-Ressource (XIV, 177 S.)</subfield><subfield code="b">graph. Darst.</subfield></datafield><datafield tag="336" ind1=" " ind2=" "><subfield code="b">txt</subfield><subfield code="2">rdacontent</subfield></datafield><datafield tag="337" ind1=" " ind2=" "><subfield code="b">c</subfield><subfield code="2">rdamedia</subfield></datafield><datafield tag="338" ind1=" " ind2=" "><subfield code="b">cr</subfield><subfield code="2">rdacarrier</subfield></datafield><datafield tag="490" ind1="1" ind2=" "><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">2093</subfield></datafield><datafield tag="500" ind1=" " ind2=" "><subfield code="a">Literaturverz. S. 171 - 174</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Evolutionsgleichung</subfield><subfield code="0">(DE-588)4129061-6</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Approximation</subfield><subfield code="0">(DE-588)4002498-2</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="650" ind1="0" ind2="7"><subfield code="a">Stochastische Differentialgleichung</subfield><subfield code="0">(DE-588)4057621-8</subfield><subfield code="2">gnd</subfield><subfield code="9">rswk-swf</subfield></datafield><datafield tag="655" ind1=" " ind2="7"><subfield code="8">1\p</subfield><subfield code="0">(DE-588)4113937-9</subfield><subfield code="a">Hochschulschrift</subfield><subfield code="2">gnd-content</subfield></datafield><datafield tag="689" ind1="0" ind2="0"><subfield code="a">Stochastische Differentialgleichung</subfield><subfield code="0">(DE-588)4057621-8</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="1"><subfield code="a">Evolutionsgleichung</subfield><subfield code="0">(DE-588)4129061-6</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2="2"><subfield code="a">Approximation</subfield><subfield code="0">(DE-588)4002498-2</subfield><subfield code="D">s</subfield></datafield><datafield tag="689" ind1="0" ind2=" "><subfield code="5">DE-604</subfield></datafield><datafield tag="776" ind1="0" ind2="8"><subfield code="i">Erscheint auch als</subfield><subfield code="n">Druck-Ausgabe, Paperback</subfield><subfield code="z">978-3-319-02230-7</subfield></datafield><datafield tag="830" ind1=" " ind2="0"><subfield code="a">Lecture notes in mathematics</subfield><subfield code="v">2093</subfield><subfield code="w">(DE-604)BV014303148</subfield><subfield code="9">2093</subfield></datafield><datafield tag="856" ind1="4" ind2="0"><subfield code="u">https://doi.org/10.1007/978-3-319-02231-4</subfield><subfield code="x">Verlag</subfield><subfield code="3">Volltext</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027002523&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Inhaltsverzeichnis</subfield></datafield><datafield tag="856" ind1="4" ind2="2"><subfield code="m">Springer Fremddatenuebernahme</subfield><subfield code="q">application/pdf</subfield><subfield code="u">http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027002523&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA</subfield><subfield code="3">Abstract</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-LNM</subfield></datafield><datafield tag="912" ind1=" " ind2=" "><subfield code="a">ZDB-2-SMA</subfield></datafield><datafield tag="883" ind1="1" ind2=" "><subfield code="8">1\p</subfield><subfield code="a">cgwrk</subfield><subfield code="d">20201028</subfield><subfield code="q">DE-101</subfield><subfield code="u">https://d-nb.info/provenance/plan#cgwrk</subfield></datafield><datafield tag="943" ind1="1" ind2=" "><subfield code="a">oai:aleph.bib-bvb.de:BVB01-027002523</subfield></datafield></record></collection>
genre	1\p (DE-588)4113937-9 Hochschulschrift gnd-content
genre_facet	Hochschulschrift
id	DE-604.BV041556920
illustrated	Illustrated
indexdate	2024-12-20T16:49:20Z
institution	BVB
isbn	9783319022314
language	English
oai_aleph_id	oai:aleph.bib-bvb.de:BVB01-027002523
oclc_num	868317985
open_access_boolean
owner	DE-824 DE-91 DE-BY-TUM DE-384 DE-703 DE-19 DE-BY-UBM DE-739 DE-20 DE-634 DE-861 DE-83
owner_facet	DE-824 DE-91 DE-BY-TUM DE-384 DE-703 DE-19 DE-BY-UBM DE-739 DE-20 DE-634 DE-861 DE-83
physical	1 Online-Ressource (XIV, 177 S.) graph. Darst.
psigel	ZDB-2-LNM ZDB-2-SMA
publishDate	2014
publishDateSearch	2014
publishDateSort	2014
publisher	Springer
record_format	marc
series	Lecture notes in mathematics
series2	Lecture notes in mathematics
spellingShingle	Kruse, Raphael 1983- Strong and weak approximation of semilinear stochastic evolution equations Lecture notes in mathematics Evolutionsgleichung (DE-588)4129061-6 gnd Approximation (DE-588)4002498-2 gnd Stochastische Differentialgleichung (DE-588)4057621-8 gnd
subject_GND	(DE-588)4129061-6 (DE-588)4002498-2 (DE-588)4057621-8 (DE-588)4113937-9
title	Strong and weak approximation of semilinear stochastic evolution equations
title_auth	Strong and weak approximation of semilinear stochastic evolution equations
title_exact_search	Strong and weak approximation of semilinear stochastic evolution equations
title_full	Strong and weak approximation of semilinear stochastic evolution equations Raphael Kruse
title_fullStr	Strong and weak approximation of semilinear stochastic evolution equations Raphael Kruse
title_full_unstemmed	Strong and weak approximation of semilinear stochastic evolution equations Raphael Kruse
title_short	Strong and weak approximation of semilinear stochastic evolution equations
title_sort	strong and weak approximation of semilinear stochastic evolution equations
topic	Evolutionsgleichung (DE-588)4129061-6 gnd Approximation (DE-588)4002498-2 gnd Stochastische Differentialgleichung (DE-588)4057621-8 gnd
topic_facet	Evolutionsgleichung Approximation Stochastische Differentialgleichung Hochschulschrift
url	https://doi.org/10.1007/978-3-319-02231-4 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027002523&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027002523&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV014303148
work_keys_str_mv	AT kruseraphael strongandweakapproximationofsemilinearstochasticevolutionequations

Verfügbarkeit

Bestellen (Login erforderlich)

Inhaltsverzeichnis