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Scaling of Differential Equations - Langtangen, Hans Petter Pedersen, Geir K.
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Langtangen, Hans Petter Pedersen, Geir K.:
Scaling of Differential Equations - gebunden oder broschiert

2016, ISBN: 9783319327259

[ED: Hardcover], [PU: Springer, Berlin Springer International Publishing], 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. 1st ed. 2016. 2016. xiii, 138 S. 22 SW-Abb., 20 Farbtabellen. 235 mm Sofort lieferbar, DE, [SC: 0.00], Neuware, gewerbliches Angebot, offene Rechnung (Vorkasse vorbehalten)

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Scaling of Differential Equations - Tomasz Komorowski
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Tomasz Komorowski:
Scaling of Differential Equations - gebunden oder broschiert

ISBN: 9783319327259

ID: 9783319327259

The book serves both as a reference forvarious scaled models with corresponding dimensionless numbers, and as aresource for learning the art of scaling.The scientific literature is full of scaled models, but in mostof the cases, the scales are just stated without thorough mathematicalreasoning.; Hardback \ Tomasz Komorowski; Scientific, Technical and Medical > Mathematics > Calculus & mathematical analysis > Differential ca, Springer-Verlag Berlin and Heidelberg GmbH & Co. K

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Scaling of Differential Equations - Langtangen, Hans Petter Pedersen, Geir K.
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Langtangen, Hans Petter Pedersen, Geir K.:
Scaling of Differential Equations - Erstausgabe

2016, ISBN: 9783319327259

Gebundene Ausgabe

[ED: Gebunden], [PU: Springer, Berlin Springer International Publishing Springer], The book serves both as a reference forvarious scaled models with corresponding dimensionless numbers, and as aresource for learning the art of scaling.A specia, DE, [SC: 0.00], Neuware, gewerbliches Angebot, Hardcover, 138, 1. Auflage 2016, PayPal

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Scaling of Differential Equations - Langtangen, Hans Petter
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Langtangen, Hans Petter:
Scaling of Differential Equations - Taschenbuch

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ID: 14320261873

Softcover, PLEASE NOTE, WE DO NOT SHIP TO DENMARK. New Book. Shipped from US in 4 to 14 days (standard) 3 to 8 days (expedited). Established seller since 2000., [PU: Springer International Publishing AG]

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Scaling of Differential Equations - Langtangen, Hans Petter
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Langtangen, Hans Petter:
Scaling of Differential Equations - Taschenbuch

2016, ISBN: 9783319327259

ID: 13445920091

Trade paperback, New., Trade paperback (US). Glued binding. Contains: Illustrations, black & white, Illustrations, color, Tables, color. Simula Springerbriefs on Computing, 2., [PU: Springer]

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Details zum Buch
Scaling of Differential Equations

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.

Detailangaben zum Buch - Scaling of Differential Equations


EAN (ISBN-13): 9783319327259
ISBN (ISBN-10): 3319327259
Gebundene Ausgabe
Taschenbuch
Erscheinungsjahr: 2016
Herausgeber: Springer, Berlin; Springer International Publishing

Buch in der Datenbank seit 17.07.2016 13:29:24
Buch zuletzt gefunden am 25.11.2017 09:04:16
ISBN/EAN: 3319327259

ISBN - alternative Schreibweisen:
3-319-32725-9, 978-3-319-32725-9


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