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Numerische Integration partieller Differentialgl
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- Buy It NowNumerische Integration partieller Differentialgleichungen mit Hilfe diskreter pa
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eBay item number:386693256646
Item specifics
- Condition
- ISBN-13
- 9783531084121
- Book Title
- Numerische Integration partieller Differentialgleichungen mit Hil
- ISBN
- 9783531084121
- Subject Area
- Mathematics
- Publication Name
- Numerische Integration Partieller Differentialgleichungen Mit Hilfe Diskreter Passiver Dynamischer Systeme
- Item Length
- 9.6 in
- Publisher
- VS Verlag Fur Sozialwissenschaften Gmbh
- Subject
- General
- Series
- Nordrhein-Westfälische Akademie Der Wissenschaften Ser.
- Publication Year
- 1995
- Type
- Textbook
- Format
- Trade Paperback
- Language
- German
- Item Width
- 6.7 in
- Item Weight
- 3.5 Oz
- Number of Pages
- 32 Pages
About this product
Product Information
Numerische Integration partieller Differentialgleichungen, die physikalische Systeme mit endlicher Ausbreitungsgeschwindigkeit beschreiben, kann dadurch erfolgen, daß das ursprüngliche System mit Hilfe eines diskreten dynamischen Systems modelliert wird. Wenn das ursprüngliche System im eigentlichen physi kalischen Sinn passiv ist, so läßt es sich durch eine Zeit-Raum-Koordinatentrans formation in ein System transformieren, das mehrdimensional passiv ist, also passiv in einem verallgemeinerten, nämlich mehrdimensionalen Sinn. Entspre chend kann dann auch das zugehörige diskrete System mehrdimensional passiv gestaltet werden. Dadurch gelingt es insbesondere, eine geeignete mehrdimensio nale vektorielle Ljapunow-Funktion verfügbar zu machen. Die wichtigsten Vorteile, die das Verfahren für den sich ergebenden Algorith mus liefert, sind: massiver Parallelismus, volle Lokalität aller Operationen, leichte Beherrschbarkeit der numerischen Stabilität, hohe Robustheit gegenüber den unvermeidbaren Rechenfehlern (Rundungs- bzw. Schneidefehler, Überlauf korrekturen), die durch die Beschränktheit der auf einem Rechner zur Verfügung stehenden Wortlängen entstehen, sinnvolle Interpretationsmöglichkeit von Frequenzbereichs-Betrachtungen, Eignung als Grundlage für den Bau massiv paral leler Spezialrechner. Die Anwendbarkeit des Verfahrens ist für die Akustik, Elektrodynamik, Elastizität und Fluiddynamik nachgewiesen worden.
Product Identifiers
Publisher
VS Verlag Fur Sozialwissenschaften Gmbh
ISBN-10
3531084127
ISBN-13
9783531084121
eBay Product ID (ePID)
235485898
Product Key Features
Publication Name
Numerische Integration Partieller Differentialgleichungen Mit Hilfe Diskreter Passiver Dynamischer Systeme
Format
Trade Paperback
Language
German
Subject
General
Series
Nordrhein-Westfälische Akademie Der Wissenschaften Ser.
Publication Year
1995
Type
Textbook
Subject Area
Mathematics
Number of Pages
32 Pages
Dimensions
Item Length
9.6 in
Item Width
6.7 in
Item Weight
3.5 Oz
Additional Product Features
Intended Audience
Scholarly & Professional
Series Volume Number
412
Number of Volumes
1 Vol.
Lc Classification Number
Qa1-939
Table of Content
Zusammenfassung.- 1. Einleitung.- 2. Hauptvorteile des Verfahrens.- 2.1 Parallelität und Lokalität.- 2.2 Numerische Stabilität.- 2.3 Robustheit des Algorithmus.- 2.4 Variable Parameter, Randbedingungen.- 2.5 Approximation im Spektralbereich.- 2.6 Steife Systeme.- 3. Herleitung des Verfahrens und weitere Aspekte.- 3.1 Benutzung der usprünglichen Differentialgleichungen als Ausgangsbasis.- 3.2 Koordinatentransformation.- 3.3 Mehrdimensional passive Kirchhoffsche Schaltung.- 3.4 Diskretisierung der unabhängigen Variablen.- 3.5 Diskrete mehrdimensional passive Kirchhoffsche Schaltung.- 3.6 Weitere Transformationen.- 3.7 Verwendung von Wellengrößen.- 3.8 Weitere Vorteile der Benutzung von Wellengrößen.- 3.9 Variable Abtastgitter.- 3.10 Zugängige Aufgabengebiete.- 3.11 Berechnung des eingeschwungenen Zustands.- 3.12 Anwendbarkeit des Verfahrens.- 3.13 Aktive Systeme.- Literatur.- Diskussionsbeiträge.
Copyright Date
1995
Illustrated
Yes
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eBay item number:386693256646
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