The arithogeometric mean
The article is based upon the arithogeometric mean method of Gauss. It explains a method to compute the periods of an elliptic curve and it provides a way to compute elliptic functions. These algorithms can be used to perform very accurate machine computations. The reader, familiar with the theory of elliptic curves, gets a clear survey of the methods. The algorithms are presented in a scheme that can be implemented immediately.
scientific article; zbMATH DE number 4123896