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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Scaling of Differential Equations

Scaling of Differential Equations

Pedersen, Geir K.
Langtangen, Hans Petter

Paperback

Series: Simula Springerbriefs on Computing, Book 2

General ComputersGeneral Mathematics

ISBN10: 3319327259
ISBN13: 9783319327259
Publisher: Springer Nature
Published: Jun 24 2016
Pages: 138
Weight: 0.50
Height: 0.33 Width: 6.14 Depth: 9.21
Language: English

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.

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