The Taylor Center
The Taylor Method ODE Solver is distinguished from other numerical methods in that only the Taylor Method computes the increments of the solution with theoretically unlimited precision so that the integration step need not approach zero even for an arbitrary degree of accuracy. This is possible because the method uses automatic differentiation - exact computing of the derivatives up to any desired order - to obtain the Taylor polynomial of any degree of the solution components.
To read more, visit the Taylor Center web-page. From this page you can obtain a Demo for Windows, a guide to the Demo, and a longer User Manual. The page also contains a link to an article published in the Proceedings of the 2005 International Conference on Scientific Computing CSC'05 as well as a page illustrating the use of the Taylor Center in teaching DEs. For more information, contact the author at galex@ski.org.
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