Using polynomial power series for solving PDEs
Hello guys again, I'm not sure if you have received my former email but I'm gonna reply to that so you can read it as well: While ago I was trying to use polynomial power series to solve a system of partial differential and algebraic equations, when realized there is no implementation of the idea. There is only Mathematica's AsymptoticDSolveValue which is just for ODEs. So I decided to implement it myself. Thanks to the Sympy community we now have some progress. I have one implementation over here <http://nbviewer.jupyter.org/gist/celliern/b38158d04d9dc3d8079dc44e3b747ac8> by Nicolas CELLIER <https://github.com/celliern> and some ideas over here <https://cs.stackexchange.com/questions/95886/algorithm-for-using-power-series-to-numerically-solve-a-partial-differential-equ> by me and some of SymPy developers. I was wondering if we could join forces to come of with a general algorithm, then implementionation on diffrent languages shouldn't be that difficult. I was wondering if you could take a look at this question <https://cs.stackexchange.com/questions/95886/algorithm-for-using-power-series-to-numerically-solve-a-partial-differential-equ> and help us out. FYI I have made a issue on SymPy's github over here <https://github.com/sympy/sympy/issues/15015#> which you can follow. Best, Foad On Thu, Aug 2, 2018 at 9:40 AM Foad Sojoodi Farimani <f.s.farimani@gmail.com> wrote:
Hello everyone,
I want to generate a multivariate polynomial given an array of nonnegative integers D=[d1,...,dm]. I want to replicate what I have been suggested in SymPy, in GiNaC, to see if I can get a better performance. (see here <https://groups.google.com/forum/#!topic/sympy/V4KRzA-3doI>, here <https://gist.github.com/Foadsf/07d4649f94f4d71876612a0ec6d9939b>and here <https://stackoverflow.com/questions/51628270/how-to-generate-a-symbolic-multivariate-polynomial-of-a-given-dimension-in-sympy>) I would appreciate if you could help me with this.
Best, Foad
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Foad Sojoodi Farimani