NumGfun: a package for numerical and analytic computation with D-finite
In Proceedings of the 2010 International Symposium on Symbolic and
Algebraic Computation (ISSAC 2010)
, pages 139–145. ACM, 2010.
This article describes the implementation in the software
package NumGfun of classical algorithms that operate on solutions of linear
differential equations or recurrence relations with polynomial coefficients,
including what seems to be the first general implementation of the fast
high-precision numerical evaluation algorithms of Chudnovsky and Chudnovsky.
In some cases, our descriptions contain small improvements over existing
algorithms. We also provide references to relevant ideas not currently used