
# Scaling of Differential Equations

Hans Petter Langtangen [1, 2]
Geir K. Pedersen [3]

[1] Center for Biomedical Computing, Simula Research Laboratory
[2] Department of Informatics, University of Oslo
[3] Department of Mathematics, University of Oslo

This book explains the mathematical details of making differential equation models dimensionless. A key feature of the text is the reasoning about the right choice of scales. A large number of worked examples demonstrate the scaling technique for ordinary and partial differential equations from physics and biology. How to utilize scaled models in simulation software is also addressed.