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Partielle Differentialgl
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- Buy It NowPartielle Differentialgleichungen und numerische Methoden by Stig Larsson (Germa
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eBay item number:386707009632
Item specifics
- Condition
- ISBN-13
- 9783540208235
- Book Title
- Partielle Differentialgleichungen und numerische Methoden
- ISBN
- 9783540208235
- Series
- Masterclass Ser.
- Publication Year
- 2005
- Type
- Textbook
- Format
- Trade Paperback
- Language
- German
- Publication Name
- Partielle Differentialgleichungen Und Numerische Methoden
- Item Length
- 9.3in
- Publisher
- Springer Berlin / Heidelberg
- Item Width
- 6.1in
- Item Weight
- 31.4 Oz
- Number of Pages
- Xii, 272 Pages
About this product
Product Information
Das Buch ist f r Studenten der angewandten Mathematik und der Ingenieurwissenschaften auf Vordiplomniveau geeignet. Der Schwerpunkt liegt auf der Verbindung der Theorie linearer partieller Differentialgleichungen mit der Theorie finiter Differenzenverfahren und der Theorie der Methoden finiter Elemente. F r jede Klasse partieller Differentialgleichungen, d.h. elliptische, parabolische und hyperbolische, enth lt der Text jeweils ein Kapitel zur mathematischen Theorie der Differentialgleichung gefolgt von einem Kapitel zu finiten Differenzenverfahren sowie einem zu Methoden der finiten Elemente. Den Kapiteln zu elliptischen Gleichungen geht ein Kapitel zum Zweipunkt-Randwertproblem f r gew hnliche Differentialgleichungen voran. Ebenso ist den Kapiteln zu zeitabh ngigen Problemen ein Kapitel zum Anfangswertproblem f r gew hnliche Differentialgleichungen vorangestellt. Zudem gibt es ein Kapitel zum elliptischen Eigenwertproblem und zur Entwicklung nach Eigenfunktionen. Die Darstellung setzt keine tiefer gehenden Kenntnisse in Analysis und Funktionalanalysis voraus. Das erforderliche Grundwissen ber lineare Funktionalanalysis und Sobolev-R ume wird im Anhang im berblick besprochen.
Product Identifiers
Publisher
Springer Berlin / Heidelberg
ISBN-10
3540208232
ISBN-13
9783540208235
eBay Product ID (ePID)
108230477
Product Key Features
Publication Name
Partielle Differentialgleichungen Und Numerische Methoden
Format
Trade Paperback
Language
German
Series
Masterclass Ser.
Publication Year
2005
Type
Textbook
Number of Pages
Xii, 272 Pages
Dimensions
Item Length
9.3in
Item Width
6.1in
Item Weight
31.4 Oz
Additional Product Features
Number of Volumes
1 Vol.
Lc Classification Number
Qa1-939
Reviews
Aus den Rezensionen: "Die gegenwärtige Darstellung unternimmt es, die elementare Theorie der (linearen) partiellen Differentialgleichungen in enger Verbindung mit numerischen Verfahren darzustellen. ... Nach einem eindimensionalen Randwertproblem werden zunächst elliptische Gleichungen analytisch und dann numerisch diskutiert ... auch Eigenwertprobleme fehlen nicht. ... Erfreulicherweise fehlen auch hyperbolische Gleichungen nicht ... Zusätzlich ... findet man einen kurzen Überblick über einige wichtige Methoden zur Lösung großer linearer Gleichungssysteme. - Insgesamt bietet die Darstellung ... eine klare Einführung in grundlegende Konzepte sowohl der Theorie als auch der Numerik der drei Standardtypen linearer partieller Differentialgleichungen." (H. Muthsam, in: Monatshefte für Mathematik, 2006, Vol. 148, S. 353f)
Table of Content
Einführung.- Ein Zweipunkt-Randwertproblem.- Elliptische Gleichungen.- Finite Differenzenverfahren für elliptische Gleichungen.- Die Methode der finiten Elemente für elliptische Gleichungen.- Das elliptische Eigenwertproblem.- Anfangswertprobleme für gewöhnliche Differentialgleichungen.- Parabolische Gleichungen.- Finite Differenzenverfahren für parabolische Probleme.- Die Methode der finiten Elemente für ein parabolisches Problem.- Hyperbolische Gleichungen.- Finite Differenzenverfahren für hyperbolische Gleichungen.- Die Methode der finiten Elemente für hyperbolische Gleichungen.- Weitere Klassen numerischer Methoden.
Copyright Date
2005
Topic
General, Physics / Mathematical & Computational, Mathematical Analysis
Intended Audience
Scholarly & Professional
Illustrated
Yes
Genre
Science, Mathematics
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eBay item number:386707009632
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