Articles liés à Scaling of Differential Equations
Synopsis
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.
Les informations fournies dans la section « Synopsis » peuvent faire référence à une autre édition de ce titre.
À propos de l?auteur
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.
Les informations fournies dans la section « A propos du livre » peuvent faire référence à une autre édition de ce titre.
- ÉditeurSpringer
- Date d'édition2016
- ISBN 10 3319327259
- ISBN 13 9783319327259
- ReliureBroché
- Langueanglais
- Numéro d'édition1
- Nombre de pages152
- Coordonnées du fabricantnon disponible
Acheter neuf
Afficher cet article
EUR 25,79
EUR 4,66 expédition depuis Royaume-Uni vers France
Destinations, frais et délais
Résultats de recherche pour Scaling of Differential Equations
Image d'archives
Scaling of Differential Equations (Simula SpringerBriefs on Computing, 2)
Vendeur : Ria Christie Collections, Uxbridge, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. In. N° de réf. du vendeur ria9783319327259_new
Quantité disponible : Plus de 20 disponibles
Image fournie par le vendeur
Scaling of Differential Equations
Edité par
Springer International Publishing, 2016
ISBN 10 : 3319327259
ISBN 13 : 9783319327259
Neuf
Kartoniert / Broschiert
Vendeur : moluna, Greven, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Kartoniert / Broschiert. Etat : New. Dieser Artikel ist ein Print on Demand Artikel und wird nach Ihrer Bestellung fuer Sie gedruckt. No comparable book existsScaling 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. N° de réf. du vendeur 118772789
Quantité disponible : Plus de 20 disponibles
Image fournie par le vendeur
Scaling of Differential Equations
Edité par
Springer International Publishing, 2016
ISBN 10 : 3319327259
ISBN 13 : 9783319327259
Neuf
Taschenbuch
Vendeur : AHA-BUCH GmbH, Einbeck, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : 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. N° de réf. du vendeur 9783319327259
Quantité disponible : 1 disponible(s)
Image fournie par le vendeur
Scaling of Differential Equations
Edité par
Springer International Publishing Jun 2016, 2016
ISBN 10 : 3319327259
ISBN 13 : 9783319327259
Neuf
Taschenbuch
Vendeur : BuchWeltWeit Ludwig Meier e.K., Bergisch Gladbach, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : Neu. This item is printed on demand - it takes 3-4 days longer - 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 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. 152 pp. Englisch. N° de réf. du vendeur 9783319327259
Quantité disponible : 2 disponible(s)
Image d'archives
Scaling of Differential Equations
Vendeur : Chiron Media, Wallingford, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
PF. Etat : New. N° de réf. du vendeur 6666-IUK-9783319327259
Quantité disponible : 10 disponible(s)
Image d'archives
Scaling of Differential Equations (Simula SpringerBriefs on Computing)
Vendeur : Books Puddle, New York, NY, Etats-Unis
Évaluation du vendeur 4 sur 5 étoiles
Etat : New. pp. 152. N° de réf. du vendeur 26374670173
Quantité disponible : 4 disponible(s)
Image fournie par le vendeur
Scaling of Differential Equations
ISBN 10 : 3319327259
ISBN 13 : 9783319327259
Neuf
Taschenbuch
Vendeur : buchversandmimpf2000, Emtmannsberg, BAYE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Taschenbuch. Etat : 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. N° de réf. du vendeur 9783319327259
Quantité disponible : 2 disponible(s)
Image fournie par le vendeur
Scaling of Differential Equations
Vendeur : GreatBookPricesUK, Woodford Green, Royaume-Uni
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. N° de réf. du vendeur 26090232-n
Quantité disponible : Plus de 20 disponibles
Image fournie par le vendeur
Scaling of Differential Equations
Edité par
Springer Nature, 2016
ISBN 10 : 3319327259
ISBN 13 : 9783319327259
Ancien ou d'occasion
Couverture souple
Vendeur : GreatBookPrices, Columbia, MD, Etats-Unis
Évaluation du vendeur 5 sur 5 étoiles
Etat : As New. Unread book in perfect condition. N° de réf. du vendeur 26090232
Quantité disponible : Plus de 20 disponibles
Image d'archives
Scaling of Differential Equations (Simula SpringerBriefs on Computing)
impression à la demandeVendeur : Biblios, Frankfurt am main, HESSE, Allemagne
Évaluation du vendeur 5 sur 5 étoiles
Etat : New. PRINT ON DEMAND pp. 152. N° de réf. du vendeur 18374670167
Quantité disponible : 4 disponible(s)