On Sun, Mar 22, 2009 at 5:02 AM, asmeurer <asmeu...@gmail.com> wrote:
This is a great project; I hope this gets accepted. > • Am I missing anything important here? * Implement the (generalized) hypergeometric differential equation and add hypergeometric functions like Bessel and Airy functions to SymPy (these functions are needed to solve many important ODEs from physics and elsewhere) * Identification of singular points of linear ODEs. Series expansions for linear ODEs with unknown solution (see for example "Advanced Mathematical Methods for Scientists and Engineers" by Bender & Orszag). Possibly difficult, especially since the series code in SymPy has some problems. * Symbolic FEM code, e.g. for approximating ODE solutions by polynomials (see e.g. http://fredrik-j.blogspot.com/2009/02/galerkins-method-in-sympy.html), or by trigonometric polynomials (Fourier series). * Implement automatic transformation of high-order ODEs to systems of first-order ODEs. Write wrappers for numerical ODE solvers in mpmath and/or SciPy so that numerical solutions can be obtained conveniently in SymPy. Though I will not be mentoring, I will be happy to provide guidance about any of the above if necessary. Fredrik --~--~---------~--~----~------------~-------~--~----~ You received this message because you are subscribed to the Google Groups "sympy" group. To post to this group, send email to sympy@googlegroups.com To unsubscribe from this group, send email to sympy+unsubscr...@googlegroups.com For more options, visit this group at http://groups.google.com/group/sympy?hl=en -~----------~----~----~----~------~----~------~--~---
