On 03/10/2011 02:46 PM, Valery Pipin wrote:
> Why not to make differentiation in spectral space?
> I don't see a problem in if maxima will differentiate directrly as well.
> You will need go to numbers in any case either following to Galerkin
> procedure, or estimating polynomials in collocation points (pseudospectral)
Yes, I could go to an entirely numerical procedure. In maxima, doing
collocation points would probably not be too difficult.
My problem is simple enough that if I am willing to wait a long time the
Galerkin projections can be done exactly via maxima's integrate. I
thought perhaps if I can keep it from expanding things into basic
polynomials then I can use the orthogonal properties and much simplify
the calculation of the Galerkin projection.
I will do numerical procedures next if I can not get a symbolic form for
the Galerkin projections.