Scaling of Differential Equations

• Main Authors: Langtangen, Hans Petter (Author), Pedersen, Geir K. (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Series: Simula SpringerBriefs on Computing ; 2
• Subjects: Mathematics.; Computer simulation.; Differential equations.; Partial differential equations.; Computer mathematics.; Mathematical models.; Ordinary Differential Equations.; Partial Differential Equations.; Mathematical Modeling and Industrial Mathematics.; Computational Science and Engineering.; Simulation and Modeling.

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. Scalin...

Table of Contents:

• Preface
• 1 Dimensions and Units
• 2 Ordinary Differential Equations Models
• 3 Basic Partial Differential Equations Models
• Advanced Partial Differential Equations Models
• References
• Index.