omnisode generates a Ruby program to use long Taylor series to solve systems of ordinary differential equations. It generates code to solve the equations in either Maple or Maxima. Using the Taylor series, estimates are made of the location and order of poles. It has been greatly re-worked the last few years, and tested quite a bit recently. Support may be extended to other languages in the future.
libpetey is a small scientific/numerical computation library. It includes the following components: templated sorting routines; templated binary tree classes; a templated linked-list class; routines for finding the k-least and k-greatest elements in an array; "supernewton", a powerful one-dimensional root-finding algorithm that combines bracketing with fast, superlinear convergence; a class for working with dates and times; a templated sparse matrix class; datasets (the beginnings of a data-representation paradigm that generalizes matrices, which is mostly useful for easy linear interpolation, especially generalized, n-dimensional linear interpolation); a function for easy parsing of command line options; and command-line utilities for sparse matrix multiplication and eigenvalue decomposition.