Lawrence intro / Painleve equations
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.
I have recently been invited to a workshop hosted by ICMS in Edinburgh on Painleve equations: http://icms.org.uk/workshops/painleve
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?