Verfügbarkeit: Strong and weak approximation of semilinear stochastic evolution equations

Strong and weak approximation of semilinear stochastic evolution equations:

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Bibliographische Detailangaben
1. Verfasser:	Kruse, Raphael 1983- (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	Cham [u.a.] Springer 2014
Schriftenreihe:	Lecture notes in mathematics 2093
Schlagworte:	Evolutionsgleichung Approximation Stochastische Differentialgleichung Hochschulschrift
Online-Zugang:	Volltext Inhaltsverzeichnis Abstract
Beschreibung:	Literaturverz. S. 171 - 174
Beschreibung:	1 Online-Ressource (XIV, 177 S.) graph. Darst.
ISBN:	9783319022314
DOI:	10.1007/978-3-319-02231-4

Internformat

MARC


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Datensatz im Suchindex

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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.
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spelling	Kruse, Raphael 1983- Verfasser (DE-588)102879407X aut Strong and weak approximation of semilinear stochastic evolution equations Raphael Kruse Cham [u.a.] Springer 2014 1 Online-Ressource (XIV, 177 S.) graph. Darst. txt rdacontent c rdamedia cr rdacarrier Lecture notes in mathematics 2093 Literaturverz. S. 171 - 174 Evolutionsgleichung (DE-588)4129061-6 gnd rswk-swf Approximation (DE-588)4002498-2 gnd rswk-swf Stochastische Differentialgleichung (DE-588)4057621-8 gnd rswk-swf 1\p (DE-588)4113937-9 Hochschulschrift gnd-content Stochastische Differentialgleichung (DE-588)4057621-8 s Evolutionsgleichung (DE-588)4129061-6 s Approximation (DE-588)4002498-2 s DE-604 Erscheint auch als Druck-Ausgabe, Paperback 978-3-319-02230-7 Lecture notes in mathematics 2093 (DE-604)BV014303148 2093 https://doi.org/10.1007/978-3-319-02231-4 Verlag Volltext Springer Fremddatenuebernahme application/pdf 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 Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf 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 Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
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

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