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Numerische Behandlung partieller Differentialgl
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- Buy It NowNumerische Behandlung partieller Differentialgleichungen by Christian Grossmann
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Item specifics
- Condition
- ISBN-13
- 9783519220893
- Book Title
- Numerische Behandlung partieller Differentialgleichungen
- ISBN
- 9783519220893
- Subject Area
- Mathematics
- Publication Name
- Numerische Behandlung Partieller Differentialgleichungen
- Item Length
- 9.4 in
- Publisher
- Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft Mbh
- Subject
- Differential Equations / General, Applied
- Series
- Teubner Studienbücher Mathematik Ser.
- Publication Year
- 2005
- Type
- Textbook
- Format
- Trade Paperback
- Language
- German
- Item Width
- 6.7 in
- Item Weight
- 34.2 Oz
- Number of Pages
- 572 Pages
About this product
Product Information
Mathematiker, Naturwissenschaftler und Ingenieure erhalten mit diesem Lehrbuch eine Einführung in die numerische Behandlung partieller Differentialgleichungen. Diskutiert werden die grundlegenden Verfahren - Finite Differenzen, Finite Volumen und Finite Elemente - für die wesentlichen Typen partieller Differentialgleichungen: elliptische, parabolische und hyperbolische Gleichungen. Einbezogen werden auch moderne Methoden zur Lösung der diskreten Probleme. Hinweise auf aktuelle Software sowie zahlreiche Beispiele und Übungsaufgaben runden diese Einführung ab.
Product Identifiers
Publisher
Vieweg Verlag, Friedr, & Sohn Verlagsgesellschaft Mbh
ISBN-10
351922089x
ISBN-13
9783519220893
eBay Product ID (ePID)
8038700177
Product Key Features
Publication Name
Numerische Behandlung Partieller Differentialgleichungen
Format
Trade Paperback
Language
German
Subject
Differential Equations / General, Applied
Series
Teubner Studienbücher Mathematik Ser.
Publication Year
2005
Type
Textbook
Subject Area
Mathematics
Number of Pages
572 Pages
Dimensions
Item Length
9.4 in
Item Width
6.7 in
Item Weight
34.2 Oz
Additional Product Features
Edition Number
3
Intended Audience
Scholarly & Professional
Number of Volumes
1 Vol.
Lc Classification Number
Qa370-380
Reviews
"Because of its emphasis on the practical details of the numerical methods, as well as the ample illustrations by simple examples, the book is an excellent introduction to the field." Zentralblatt MATH, 1086, 12/2006, "Because of its emphasis on the practical details of the numerical methods, as well as the ample illustrations by simple examples, the book is an excellent introduction to the field."Zentralblatt MATH, 1086, 12/2006
Original Language
German
Table of Content
Notation.- 1 Grundbegriffe.- 1.1 Klassifikation und Korrektheit.- 1.2 Fouriersche Methode, Integraltransformationen.- 1.3 Maximumprinzip, Fundamentallösung.- 2 Differenzenverfahren.- 2.1 Grundkonzepte.- 2.2 Einführende Beispiele.- 2.3 Transport probleme und Erhaltungsgleichungen.- 2.4 Elliptische Randwertaufgaben.- 2.5 Differenzenverfahren und Finite-Volumen-Verfahren.- 2.6 Parabolische Anfangs-Randwert-Probleme.- 2.7 Hyperbolische Probleme 2. Ordnung.- 3 Schwache Lösungen.- 3.1 Einführung.- 3.2 Angepaßte Funktionenräume.- 3.3 Variationsgleichungen und konforme Approximation.- 3.4 Abschwächungen der V-Elliptizität.- 3.5 Nichtlineare Probleme.- 4 Methode der finiten Elemente.- 4.1 Ein Beispiel.- 4.2 Finite-Elemente-Räume.- 4.3 Zur Realisierung der Finite-Elemente-Methode.- 4.4 Konvergenz konformer Methoden.- 4.5 Nichtkonforme Finite-Elemente-Methoden.- 4.6 Gemischte finite Elemente.- 4.7 Fehlerschätzer und adaptive FEM.- 4.8 Die diskontinuierliche Galerkin-Methode.- 4.9 Hinweise zu weiteren Aspekten.- 5 Finite Elemente für instationäre Probleme.- 5.1 Parabolische Aufgaben.- 5.2 Hyperbolische Aufgaben zweiter Ordnung.- 6 Singulär gestörte Randwertaufgaben.- 6.1 Zweipunkt-Randwertaufgaben.- 6.2 Räumlich eindimensionale parabolische Probleme.- 6.3 Mehrdimensionale Konvektions-Diffusions-Probleme.- 7 Variationsungleichungen, optimale Steuerung.- 7.1 Aufgabenstellung.- 7.2 Diskretisierung von Variationsungleichungen.- 7.3 Penalty-Methoden.- 7.4 Optimale Steuerung partieller DGLN.- 8 Verfahren für diskretisierte Probleme.- 8.1 Besonderheiten der Aufgabenstellung.- 8.2 Direkte Verfahren.- 8.3 Iterationsverfahren.- 8.4 CG -- Verfahren.- 8.5 Mehrgitterverfahren.- 8.6 Gebietszerlegung, parallele Algorithmen.- Bücher u. ä.- Zeitschriftenartikel.
Copyright Date
2005
Illustrated
Yes
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