A simple and elementary proof of Butcher's theorem on the order conditions of Runge-Kutta methods is presented. It is based on a recursive definition of rooted trees and ...

Mathematical modelling of time dependent systems is always interesting for applied mathematicians. First continuous and then discrete mathematical models were built in the ...

Download ann_kullenberg_presentation.nb (35.78 MB) - Mathematica Notebook (updated 10/23/09)

We describe why and how Mathematica technology was added to, and is applied in, a web-based learning system for use in mathematics and other courses. Online Web-based ...

The Mathematica simulation described in this article compares two different schemes, the iterative and the selective rollback methods, used in the recovery of computer ...

Fuzzy logic brings new possibilities into control, modeling, data analysis, diagnostics, decision making, and other working fields in biomedical analysis. It shows an ...

This is an open access, open content and open source textbook in the form of a Mathematica notebook. If you do not have Mathematica, you can download the .CDF version of the ...

Programming and Problem-Solving via Mathematica is the text used for CS1 at Davidson College and was created by Rich Neidinger, John Swallow, and Todd Will. A broad-based ...

In this paper, a package for solving linear time-invariant analog electric circuits in Mathematica environment has been presented. The package uses the Mathematica's powerful ...

This notebook serves as a whitepaper describing gridMathematica and installation on Apple Xserve hardware, highlighting some of the benefits of that technology. Mac OS X ...