2016, ISBN: 3319327259
The book serves both as a reference forvarious scaled models with corresponding dimensionless numbers, and as aresource for learning the art of scaling. A special feature of the book is t… Mehr…
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Scaling of Differential Equations / Geir K. Pedersen (u. a.) / Taschenbuch / Simula SpringerBriefs on Computing / Paperback / XIII / Englisch / 2016 / Springer International Publishing - Taschenbuch
2016, ISBN: 9783319327259
[ED: Taschenbuch], [PU: Springer International Publishing], The book serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for l… Mehr…
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Scaling of Differential Equations | Geir K. Pedersen (u. a.) | Taschenbuch | Simula SpringerBriefs on Computing | Paperback | XIII | Englisch | 2016 | Springer International Publishing - Taschenbuch
2016, ISBN: 9783319327259
[ED: Taschenbuch], [PU: Springer International Publishing], The book serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for l… Mehr…
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2016, ISBN: 3319327259
1st ed. 2016 Kartoniert / Broschiert Mathematik / Technik, Ingenieurwissenschaften, Handwerk, Modellieren (allgemein) - Modellierung, Numerische Mathematik, Mathematische Modellierung, … Mehr…
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2016, ISBN: 3319327259
1st ed. 2016 Kartoniert / Broschiert Mathematik / Technik, Ingenieurwissenschaften, Handwerk, Modellieren (allgemein) - Modellierung, Numerische Mathematik, Mathematische Modellierung, … Mehr…
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2016, ISBN: 3319327259
The book serves both as a reference forvarious scaled models with corresponding dimensionless numbers, and as aresource for learning the art of scaling. A special feature of the book is t… Mehr…
Pedersen, Geir K.:
Scaling of Differential Equations / Geir K. Pedersen (u. a.) / Taschenbuch / Simula SpringerBriefs on Computing / Paperback / XIII / Englisch / 2016 / Springer International Publishing - Taschenbuch2016, ISBN: 9783319327259
[ED: Taschenbuch], [PU: Springer International Publishing], The book serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for l… Mehr…
Scaling of Differential Equations | Geir K. Pedersen (u. a.) | Taschenbuch | Simula SpringerBriefs on Computing | Paperback | XIII | Englisch | 2016 | Springer International Publishing - Taschenbuch
2016
ISBN: 9783319327259
[ED: Taschenbuch], [PU: Springer International Publishing], The book serves both as a reference for various scaled models with corresponding dimensionless numbers, and as a resource for l… Mehr…
2016, ISBN: 3319327259
1st ed. 2016 Kartoniert / Broschiert Mathematik / Technik, Ingenieurwissenschaften, Handwerk, Modellieren (allgemein) - Modellierung, Numerische Mathematik, Mathematische Modellierung, … Mehr…
2016, ISBN: 3319327259
1st ed. 2016 Kartoniert / Broschiert Mathematik / Technik, Ingenieurwissenschaften, Handwerk, Modellieren (allgemein) - Modellierung, Numerische Mathematik, Mathematische Modellierung, … Mehr…
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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 International Publishing
Buch in der Datenbank seit 2016-07-17T13:29:24+02:00 (Berlin)
Detailseite zuletzt geändert am 2024-01-17T11:35:47+01:00 (Berlin)
ISBN/EAN: 9783319327259
ISBN - alternative Schreibweisen:
3-319-32725-9, 978-3-319-32725-9
Alternative Schreibweisen und verwandte Suchbegriffe:
Autor des Buches: hans lang, läng hans, langtangen, petter, pedersen
Titel des Buches: mandelbrot, differential equations, scaling
Daten vom Verlag:
Autor/in: Hans Petter Langtangen; Geir K. Pedersen
Titel: Simula SpringerBriefs on Computing; Scaling of Differential Equations
Verlag: Springer; Springer International Publishing
138 Seiten
Erscheinungsjahr: 2016-06-24
Cham; CH
Gedruckt / Hergestellt in Niederlande.
Gewicht: 2,409 kg
Sprache: Englisch
21,39 € (DE)
21,99 € (AT)
26,67 CHF (CH)
POD
XIII, 138 p. 22 illus.
BC; Ordinary Differential Equations; Hardcover, Softcover / Mathematik/Analysis; Differentialrechnung und -gleichungen; Verstehen; scaling; non-dimensionalization; ordinary differential equations; partial differential equations; dimensionless numbers; fluid mechanics; multiphysics models; Partial Differential Equations; Mathematical Modeling and Industrial Mathematics; Computational Science and Engineering; Simulation and Modeling; Differential Equations; Mathematical Modeling and Industrial Mathematics; Computational Science and Engineering; Computer Modelling; Mathematische Modellierung; Mathematik für Ingenieure; Numerische Mathematik; Computermodellierung und -simulation; EA
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.
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.
Preface.- 1 Dimensions and Units.- 2 Ordinary Differential Equations Models.- 3 Basic Partial Differential Equations Models.- Advanced Partial Differential Equations Models.- References.- Index.
Hans Petter Langtangen is a professor of computer science at the University of Oslo. He has formerly been a professor of mechanics and is now the director of a Norwegian Center of Excellence: "Center for Biomedical Computing", at Simula Research Laboratory. Langtangen has published over 100 scientific publications and written several books, including papers and the bestseller TCSE 6 "A Primer on Scientific Programming with Python", now in its 5th edition. He has also developed open source and commercial software systems for computational sciences.
No comparable book exists
Scaling is a classical topic in applied mathematics, but here strongly connected to numerical simulations
The book contains a wide range of examples, of differing complexity, from many different scientific fields
Includes supplementary material: sn.pub/extras
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