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Bücher Englische Bücher Wissen & Bildung Naturwissenschaft, Medizin, Informatik, Technik Mathematik Analysis Scaling of Differential Equations
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Scaling of Differential Equations
Hans Petter Langtangen, Geir K. Pedersen (Taschenbuch, Englisch)
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Beschreibung
The book serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for learning the art of scaling. A special feature of the book is the emphasis on how to create software for scaled models, based on existing software for unscaled models. Scaling (or non-dimensionalization) is a mathematical technique that greatly simplifies the setting of… input parameters in numerical simulations. Moreover, scaling enhances the understanding of how different physical processes interact in a differential equation model. Compared to the existing literature, where the topic of scaling is frequently encountered, but very often in only a brief and shallow setting, the present book gives much more thorough explanations of how to reason about finding the right scales. This process is highly problem dependent, and therefore the book features a lot of worked examples, from very simple ODEs to systems of PDEs, especially from fluid mechanics. The text is easily accessible and example-driven. The first part on ODEs fits even a lower undergraduate level, while the most advanced multiphysics fluid mechanics examples target the graduate level. The scientific literature is full of scaled models, but in most of the cases, the scales are just stated without thorough mathematical reasoning. This book explains how the scales are found mathematically. This book will be a valuable read for anyone doing numerical simulations based on ordinary or partial differential equations. Dieses Produkt haben wir gerade leider nicht auf Lager.
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Technische Daten
Erscheinungsdatum
24.06.2016
Sprache
Englisch
EAN
9783319327259, 9783319327259
Herausgeber
Springer International Publishing
Serien- oder Bandtitel
Simula SpringerBriefs on Computing
Sonderedition
Nein
Autor
Hans Petter Langtangen, Geir K. Pedersen
Seitenanzahl
138
Einbandart
Taschenbuch
Schlagwörter
scaling, non-dimensionalization, ordinary differential equations, partial differential equations, dimensionless numbers, fluid mechanics, multiphysics models
Thema-Inhalt
PBKJ - Differentialrechnung und -gleichungen
PBWH - Mathematische Modellierung
TBJ - Mathematik für Ingenieure
PBKS - Numerische Mathematik
UYM - Computermodellierung und -simulation
Höhe
235 mm
Breite
15.5 cm
Hersteller: Springer Nature Customer Service Center GmbH, Europaplatz 3, Heidelberg, Deutschland, 69115, ProductSafety@springernature.com
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