Earlier this year I applied for an ARC Discovery grant for a 4 year 75% Fellowship ( http://www.arc.gov.au/ncgp/dp/dp_default.htm ) to study the relationship between numerical Clifford algebras, compatible discretization and the solution of PDEs, etc. in mathematical physics. Part of this project would be a port of the GluCat library (or equivalent) to Sage (see http://glucat.sf.net .) Funding has not yet been approved. Announcement is expected in October (see http://www.arc.gov.au/media/important_dates.htm .)
If the project goes ahead, expect me to be asking lots of questions as to how to integrate numerical implementations of Clifford algebras and exterior algebras into the Sage coercion model, how to represent and manipulate differential forms, Whitney forms, finite elements, chains, cochains and Harrison chainlets, etc. I'm also interested in functions on Clifford algebras (i.e. efficient numerical implementation of functional calculus) and in Clifford algebras over arbitrary fields rather than just the real and complex fields. What I'm looking for, other than documentation, advice and support, is some Sage infrastructure for the solution of equations via compatible discretization, with or without Clifford algebras. --~--~---------~--~----~------------~-------~--~----~ To post to this group, send an email to sage-devel@googlegroups.com To unsubscribe from this group, send an email to sage-devel-unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sage-devel URLs: http://www.sagemath.org -~----------~----~----~----~------~----~------~--~---
