
2016Langtangen, Hans Petter and Geir K. Pedersen  Scaling of Differential Equations. Textbook.
20 Mar 2020  Contributor(s):: Brian Winkel
Langtangen, Hans Petter and Geir K. Pedersen. 2016. Scaling of Differential Equations. New York: Springer. Text 234 pages. See https://www.springer.com/gp/book/9783319327259. Accessed 20 March 2020.The Preface,Finding proper values of physical parameters in mathematical...

2003Bohren, Craig F  Dimensional analysis, falling bodies, and the fine art of not solving differential equations
13 Mar 2020  Contributor(s):: Brian Winkel
Bohren, Craig F. 2003. Dimensional analysis, falling bodies, and the fine art of not solving differential equations. Am. J. Physics. 72(4): 534537.See http://pages.erau.edu/~reynodb2/ps303/Bohren_2004_AJP_DimensionalAnalysis.pdf .Abstract: Dimensional analysis is a simple,...

3043SBallisticModelingSpongeDart
20 Nov 2018   Contributor(s):: Jean Marie Linhart, Peter Howard
The goal of this project is for students to develop, analyze, and compare three different models for the flight of a sponge dart moving under the influences of gravity and air resistance. The first two models are based respectively on the common simplifying assumptions of no air resistance and...

1015TextSDimensionlessVariables
25 Aug 2018   Contributor(s):: Kurt Bryan
This material introduces the idea of ``rescaling'' for ordinary differential equations (ODE's) by the introduction of dimensionless variables. In practice this is an extremely common and useful prelude to the analysis and solution of ODE's, and yet is not often taught in an...