From: spellucci@mathematik.tu-darmstadt.de (Peter Spellucci) Newsgroups: sci.math.num-analysis Subject: Re: [Q] Jacobi Elliptic Functions Date: 4 Jan 1999 12:23:39 GMT Keywords: Numerical evaluation of elliptic functions In article , Gabriel Dos_Reis writes: snip |> So I decided to implement myself the stuff I need (efficient |> algorithms to evaluate sn, cn, dn...). I would appreciate very much |> any pointers (ftp, www) on this material. |> netlib (http://www.netlib.org) has algorithms in the libraries slatec and toms. bulirsch wrote a series of papers (with algol programs) on the subject: J] Numer. Math. 13, 305-315 (1969). Numer. Math. 13, 266-284 (1969). Numer. Math. 7, 78-90 (1965). Numer. Math. 7, 353-354 (1965). hope this helps peter ============================================================================== From: Jan Rosenzweig Newsgroups: sci.math.num-analysis Subject: Re: [Q] Jacobi Elliptic Functions Date: Wed, 06 Jan 1999 16:37:11 +0000 Gabriel Dos_Reis wrote: > > I've just realized that the capability of Maple (VR4) in handling Jabobi > elliptic functions is quite limited: > > So I decided to implement myself the stuff I need (efficient > algorithms to evaluate sn, cn, dn...). I would appreciate very much > any pointers (ftp, www) on this material. > The algorithm used by Matlab is described in the Matlab User Manual. Try http://www.damtp.cam.ac.uk/computing/manuals/Matlab-5.0/techdoc/ref/ellipj.html -- Jan Rosenzweig e-mail: J.Rosenzweig@damtp.cam.ac.uk jr241@hermes.cam.ac.uk address: DAMTP college: Gonville and Caius Silver Street Cambridge CB2 1TA Cambridge CB3 9EW UK home: 7 Harvey Road Cambridge CB1 2ET tel.: ++44 (1223) 330 889 fax.: ++44 (1223) 337 918 home tel.: ++44 (1223) 358 553 'Mathematics is like checkers; it is suitable for the young, not too difficult, amusing, and without peril to the state.' -- Plato '...it would be better for the true physics if there were no mathematicians on earth.' -- Daniel Bernoulli