On Sep 29, 2009, at 7:15 PM, Alan Bromborsky wrote:
> Are there differential equation solvers where you don't have to invert > the matrix? A Newmark-Beta scheme will directly solve a second-order system of ODEs. The standard form uses iteration to solve the system so no inversion is necessary. For linear second-order problems you can rewrite things to use matrix algebra. For more information, I recommend Bathe and Wilson, Klaus-Jürgen Bathe and Edward L. Wilson. Numerical Methods in Finite Element Analysis. Prentice Hall, Englewood Cliffs, New Jersey, 1976. There are other second order solvers out there too. Cheers, Tim. --- Tim Lahey PhD Candidate, Systems Design Engineering University of Waterloo http://www.linkedin.com/in/timlahey --~--~---------~--~----~------------~-------~--~----~ 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 -~----------~----~----~----~------~----~------~--~---
