Verwandte Artikel zu Scaling of Differential Equations: 2 (Simula SpringerBriefs...

Scaling of Differential Equations: 2 (Simula SpringerBriefs on Computing) - Softcover

 
9783319327259: Scaling of Differential Equations: 2 (Simula SpringerBriefs on Computing)

Inhaltsangabe

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.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

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.

Geir K. Pedersen is a professor of mechanics at the Department of Mathematics, University of Oslo. He has a life-long experience in fluid dynamics and mathematical modeling. Pedersen has published articles on wave theory, numerical modeling, perturbation techniques, tsunamis, hydrodynamic stability and experimental fluid dynamics.     

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

  • VerlagSpringer
  • Erscheinungsdatum2016
  • ISBN 10 3319327259
  • ISBN 13 9783319327259
  • EinbandTapa blanda
  • SpracheEnglisch
  • Auflage1
  • Anzahl der Seiten152
  • Kontakt zum HerstellerNicht verfügbar

Gratis für den Versand innerhalb von/der Deutschland

Versandziele, Kosten & Dauer

Weitere beliebte Ausgaben desselben Titels

9783319327273: Scaling of Differential Equations

Vorgestellte Ausgabe

ISBN 10:  3319327275 ISBN 13:  9783319327273
Verlag: Springer, 2016
Softcover

Suchergebnisse für Scaling of Differential Equations: 2 (Simula SpringerBriefs...

Foto des Verkäufers

Geir K. Pedersen
ISBN 10: 3319327259 ISBN 13: 9783319327259
Neu Taschenbuch

Anbieter: AHA-BUCH GmbH, Einbeck, Deutschland

Verkäuferbewertung 5 von 5 Sternen 5 Sterne, Erfahren Sie mehr über Verkäufer-Bewertungen

Taschenbuch. Zustand: Neu. Druck auf Anfrage Neuware - Printed after ordering - 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 the emphasis on how to create softwarefor scaled models, based on existing software for unscaled models. Scaling (or non-dimensionalization) is amathematical technique that greatly simplifies the setting of input parameters innumerical simulations. Moreover, scaling enhances the understanding of howdifferent physical processes interact in a differential equation model.Compared to the existing literature, where the topic of scaling is frequentlyencountered, but very often in only a brief and shallow setting, the presentbook gives much more thorough explanations of how to reason about finding theright scales. This process is highly problem dependent, and therefore the bookfeatures a lot of worked examples, from very simple ODEs to systems of PDEs,especially from fluid mechanics.The text is easily accessible andexample-driven. The first part on ODEs fits even a lower undergraduate level,while the most advanced multiphysics fluid mechanics examples target thegraduate level. The scientific literature is full of scaled models, but in mostof the cases, the scales are just stated without thorough mathematicalreasoning. This book explains how the scales are found mathematically.This book will be a valuable read for anyonedoing numerical simulations based on ordinary or partial differential equations. Artikel-Nr. 9783319327259

Verkäufer kontaktieren

Neu kaufen

EUR 21,39
Währung umrechnen
Versand: Gratis
Innerhalb Deutschlands
Versandziele, Kosten & Dauer

Anzahl: 1 verfügbar

In den Warenkorb

Foto des Verkäufers

Geir K. Pedersen
ISBN 10: 3319327259 ISBN 13: 9783319327259
Neu Taschenbuch

Anbieter: buchversandmimpf2000, Emtmannsberg, BAYE, Deutschland

Verkäuferbewertung 5 von 5 Sternen 5 Sterne, Erfahren Sie mehr über Verkäufer-Bewertungen

Taschenbuch. Zustand: Neu. Neuware -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 the emphasis on how to create softwarefor scaled models, based on existing software for unscaled models.Scaling (or non-dimensionalization) is amathematical technique that greatly simplifies the setting of input parameters innumerical simulations. Moreover, scaling enhances the understanding of howdifferent physical processes interact in a differential equation model.Compared to the existing literature, where the topic of scaling is frequentlyencountered, but very often in only a brief and shallow setting, the presentbook gives much more thorough explanations of how to reason about finding theright scales. This process is highly problem dependent, and therefore the bookfeatures a lot of worked examples, from very simple ODEs to systems of PDEsespecially from fluid mechanics.The text is easily accessible andexample-driven. The first part on ODEs fits even a lower undergraduate levelwhile the most advanced multiphysics fluid mechanics examples target thegraduate level. The scientific literature is full of scaled models, but in mostof the cases, the scales are just stated without thorough mathematicalreasoning. This book explains how the scales are found mathematically.This book will be a valuable read for anyonedoing numerical simulations based on ordinary or partial differential equations.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 152 pp. Englisch. Artikel-Nr. 9783319327259

Verkäufer kontaktieren

Neu kaufen

EUR 21,39
Währung umrechnen
Versand: EUR 1,99
Innerhalb Deutschlands
Versandziele, Kosten & Dauer

Anzahl: 2 verfügbar

In den Warenkorb

Beispielbild für diese ISBN

Langtangen, Hans Petter Petter
Verlag: Springer Nature, 2016
ISBN 10: 3319327259 ISBN 13: 9783319327259
Neu Softcover

Anbieter: Ria Christie Collections, Uxbridge, Vereinigtes Königreich

Verkäuferbewertung 5 von 5 Sternen 5 Sterne, Erfahren Sie mehr über Verkäufer-Bewertungen

Zustand: New. In. Artikel-Nr. ria9783319327259_new

Verkäufer kontaktieren

Neu kaufen

EUR 26,08
Währung umrechnen
Versand: EUR 5,88
Von Vereinigtes Königreich nach Deutschland
Versandziele, Kosten & Dauer

Anzahl: Mehr als 20 verfügbar

In den Warenkorb

Beispielbild für diese ISBN

Langtangen, Hans Petter/ Pedersen, Geir K.
Verlag: Springer Verlag, 2016
ISBN 10: 3319327259 ISBN 13: 9783319327259
Neu Paperback

Anbieter: Revaluation Books, Exeter, Vereinigtes Königreich

Verkäuferbewertung 5 von 5 Sternen 5 Sterne, Erfahren Sie mehr über Verkäufer-Bewertungen

Paperback. Zustand: Brand New. 152 pages. 9.50x6.25x0.50 inches. In Stock. Artikel-Nr. x-3319327259

Verkäufer kontaktieren

Neu kaufen

EUR 36,67
Währung umrechnen
Versand: EUR 11,81
Von Vereinigtes Königreich nach Deutschland
Versandziele, Kosten & Dauer

Anzahl: 2 verfügbar

In den Warenkorb