Lawrence intro/ Painleve equations

Posted on
15 Jan 2010

Hello,

Introduction
Let me introduce myself first.
I'm Lawrence Mulholland and I'm Group Leader for a Group called
"Numerical Libraries" which includes a large proportion of our
internal developers. I look after project development as we move
from one major release of the Library based products to the next;
so I am currently managing a FL23 project which aims to produce
its first implementations of FL23 at the latter part of this year.

Painleve Equations

I have recently been invited to a workshop hosted by ICMS in Edinburgh
on Painleve equations:
http://icms.org.uk/workshops/painleve(link is external)

This seems like an interesting area of research; and since we are looking
to introduce a routine for the Hypergeometric function 2_F_1 in FL23,
it seems like a logical extension to be investigating the even more
challenging Painleve equations which seem to have a fair range of
applications.

What I'm not sure about is:
how useful would routines that provide particular solutions
to the Painleve equations be to our customer base and to the research
community in particular ?

Does anyone out there have any interest in this?

Lawrence