Verfügbarkeit: Analysis of finite difference schemes

Analysis of finite difference schemes: for linear partial differential equations with generalized solutions

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Bibliographische Detailangaben
Hauptverfasser:	Jovanović, Boško S. (VerfasserIn), Süli, Endre (VerfasserIn)
Format:	Elektronisch E-Book
Sprache:	English
Veröffentlicht:	London [u.a.] Springer 2014
Schriftenreihe:	Springer series in computational mathematics 46
Schlagworte:	Finite-Differenzen-Methode Differenzenrechnung
Online-Zugang:	DE-634 DE-861 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract
Beschreibung:	1 Online-Ressource (XIII, 408 S.)
ISBN:	9781447154600
DOI:	10.1007/978-1-4471-5460-0

Internformat

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Datensatz im Suchindex

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adam_text	ANALYSIS OF FINITE DIFFERENCE SCHEMES / JOVANOVIC, BOSKO S. : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS DISTRIBUTIONS AND FUNCTION SPACES ELLIPTIC BOUNDARY-VALUE PROBLEMS FINITE DIFFERENCE APPROXIMATION OF PARABOLIC PROBLEMS FINITE DIFFERENCE APPROXIMATION OF HYPERBOLIC PROBLEMS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. ANALYSIS OF FINITE DIFFERENCE SCHEMES / JOVANOVIC, BOSKO S. : 2014 ABSTRACT / INHALTSTEXT THIS BOOK DEVELOPS A SYSTEMATIC AND RIGOROUS MATHEMATICAL THEORY OF FINITE DIFFERENCE METHODS FOR LINEAR ELLIPTIC, PARABOLIC AND HYPERBOLIC PARTIAL DIFFERENTIAL EQUATIONS WITH NONSMOOTH SOLUTIONS. FINITE DIFFERENCE METHODS ARE A CLASSICAL CLASS OF TECHNIQUES FOR THE NUMERICAL APPROXIMATION OF PARTIAL DIFFERENTIAL EQUATIONS. TRADITIONALLY, THEIR CONVERGENCE ANALYSIS PRESUPPOSES THE SMOOTHNESS OF THE COEFFICIENTS, SOURCE TERMS, INITIAL AND BOUNDARY DATA, AND OF THE ASSOCIATED SOLUTION TO THE DIFFERENTIAL EQUATION. THIS THEN ENABLES THE APPLICATION OF ELEMENTARY ANALYTICAL TOOLS TO EXPLORE THEIR STABILITY AND ACCURACY. THE ASSUMPTIONS ON THE SMOOTHNESS OF THE DATA AND OF THE ASSOCIATED ANALYTICAL SOLUTION ARE HOWEVER FREQUENTLY UNREALISTIC. THERE IS A WEALTH OF BOUNDARY – AND INITIAL – VALUE PROBLEMS, ARISING FROM VARIOUS APPLICATIONS IN PHYSICS AND ENGINEERING, WHERE THE DATA AND THE CORRESPONDING SOLUTION EXHIBIT LACK OF REGULARITY. IN SUCH INSTANCES CLASSICAL TECHNIQUES FOR THE ERROR ANALYSIS OF FINITE DIFFERENCE SCHEMES BREAK DOWN. THE OBJECTIVE OF THIS BOOK IS TO DEVELOP THE MATHEMATICAL THEORY OF FINITE DIFFERENCE SCHEMES FOR LINEAR PARTIAL DIFFERENTIAL EQUATIONS WITH NONSMOOTH SOLUTIONS. ANALYSIS OF FINITE DIFFERENCE SCHEMES IS AIMED AT RESEARCHERS AND GRADUATE STUDENTS INTERESTED IN THE MATHEMATICAL THEORY OF NUMERICAL METHODS FOR THE APPROXIMATE SOLUTION OF PARTIAL DIFFERENTIAL EQUATIONS DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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author	Jovanović, Boško S. Süli, Endre
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spelling	Jovanović, Boško S. Verfasser aut Analysis of finite difference schemes for linear partial differential equations with generalized solutions Boško S. Jovanović ; Endre Süli London [u.a.] Springer 2014 1 Online-Ressource (XIII, 408 S.) txt rdacontent c rdamedia cr rdacarrier Springer series in computational mathematics 46 Finite-Differenzen-Methode (DE-588)4194626-1 gnd rswk-swf Differenzenrechnung (DE-588)4149800-8 gnd rswk-swf Differenzenrechnung (DE-588)4149800-8 s Finite-Differenzen-Methode (DE-588)4194626-1 s 1\p DE-604 Süli, Endre Verfasser aut Erscheint auch als Druck-Ausgabe Analysis of finite difference schemes (DE-604)BV041405710 Erscheint auch als Druckausgabe 978-1-4471-5459-4 Springer series in computational mathematics 46 (DE-604)BV000012004 46 https://doi.org/10.1007/978-1-4471-5460-0 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026927905&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=026927905&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	Jovanović, Boško S. Süli, Endre Analysis of finite difference schemes for linear partial differential equations with generalized solutions Springer series in computational mathematics Finite-Differenzen-Methode (DE-588)4194626-1 gnd Differenzenrechnung (DE-588)4149800-8 gnd
subject_GND	(DE-588)4194626-1 (DE-588)4149800-8
title	Analysis of finite difference schemes for linear partial differential equations with generalized solutions
title_auth	Analysis of finite difference schemes for linear partial differential equations with generalized solutions
title_exact_search	Analysis of finite difference schemes for linear partial differential equations with generalized solutions
title_full	Analysis of finite difference schemes for linear partial differential equations with generalized solutions Boško S. Jovanović ; Endre Süli
title_fullStr	Analysis of finite difference schemes for linear partial differential equations with generalized solutions Boško S. Jovanović ; Endre Süli
title_full_unstemmed	Analysis of finite difference schemes for linear partial differential equations with generalized solutions Boško S. Jovanović ; Endre Süli
title_short	Analysis of finite difference schemes
title_sort	analysis of finite difference schemes for linear partial differential equations with generalized solutions
title_sub	for linear partial differential equations with generalized solutions
topic	Finite-Differenzen-Methode (DE-588)4194626-1 gnd Differenzenrechnung (DE-588)4149800-8 gnd
topic_facet	Finite-Differenzen-Methode Differenzenrechnung
url	https://doi.org/10.1007/978-1-4471-5460-0 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=026927905&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=026927905&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV000012004
work_keys_str_mv	AT jovanovicboskos analysisoffinitedifferenceschemesforlinearpartialdifferentialequationswithgeneralizedsolutions AT suliendre analysisoffinitedifferenceschemesforlinearpartialdifferentialequationswithgeneralizedsolutions

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