No problem. I figured it out somehow. I worked out an example and posted that in my proposal too. Also, this is the only proposal that I submitted to Google.
On Apr 4, 2017 2:44 AM, "Ondřej Čertík" <[email protected]> wrote: > Arif, Vedarth, > > Please make sure you submit your proposal. Try to do your best > regarding the example, I am busy today at work, my apologies for that. > I'll try to find time in the next few days to work it out (or ask > prof. Sukumar or his student), unless you can figure it out in the > meantime. > > Ondrej > > On Sun, Apr 2, 2017 at 5:30 PM, Arif Ahmed > <[email protected]> wrote: > > I have written a proposal as well. Can you please take the time to > review it > > ? : > > https://docs.google.com/document/d/1pIH-HXoAesl34_ > Qs41Mfmwxa8-2ExYvhVHh9bfS4ijQ/edit > > > > Also , is it necessary to add this content to the SymPy wiki ? > > > > > > On Thursday, March 30, 2017 at 3:56:11 AM UTC+5:30, Ondřej Čertík wrote: > >> > >> Hi, > >> > >> Here is another GSoC idea from my collaborator at UC Davis, prof. > >> Sukumar [1]. His student Eric Chin gave me his permission to post the > >> project here, see the attached project description and his poster with > >> more details. > >> > >> The general idea is to implement a module in SymPy to help integrate > >> homogeneous functions over arbitrary 2D and 3D polytopes (triangles, > >> quads, polygons, hexahedra, and more complicated 3D elements). The > >> applications are in extended finite elements which requires an > >> efficient quadrature of a 3D function over the finite element (say a > >> hexahedron). Other applications are computer graphics (ridid body > >> simulations of solids) and to devise cubature rules on arbitrary > >> polytopes. > >> > >> See the references in the attached document. They use the Stokes > >> theorem and Euler theorem to transform the 3D integral (which > >> otherwise would require a 3D quadrature --- very expensive) to > >> integral over faces and eventually edges, and so it becomes much > >> faster. Features needed from SymPy: > >> > >> * exact handling of integers and rationals > >> * symbolic representation of homogeneous functions > >> * symbolic derivatives > >> * numerical evaluation > >> > >> At first it sounds technical, but this would be extremely useful even > >> for my own work. The spirit is roughly in line of this module that I > >> started and others finished: > >> > >> > >> https://github.com/sympy/sympy/blob/8800fd2ab1553cd768ad743c44b3ed > 00c111c368/sympy/integrals/quadrature.py > >> > >> The ultimate application of this sympy.integrals.quadrature module are > >> double precision floating point numbers in Fortran, C or C++ programs, > >> however the reason it's in SymPy is that one can use SymPy to get > >> guaranteed accuracy to arbitrary precision. In principle > >> sympy.integrals.quadrature could also be implemented using libraries > >> like Arb (https://github.com/fredrik-johansson/arb), but Arb didn't > >> exist when I wrote quadrature.py, and the code of quadrature.py is > >> very simple, using regular SymPy, so there is still value in having > >> it. > >> > >> The module proposed by this project would require symbolic features > >> from SymPy as well, such as the symbolic derivatives, as well as the > >> ability for the user to input the expression to integrate > >> symbolically. > >> > >> The above project could also lead to a publication if there is interest. > >> > >> If there are any interested students, please let me know. I can mentor > >> as well as help with the proposal. > >> > >> Ondrej > >> > >> [1] http://dilbert.engr.ucdavis.edu/~suku/ > > > > -- > > You received this message because you are subscribed to the Google Groups > > "sympy" group. > > To unsubscribe from this group and stop receiving emails from it, send an > > email to [email protected]. > > To post to this group, send email to [email protected]. > > Visit this group at https://groups.google.com/group/sympy. > > To view this discussion on the web visit > > https://groups.google.com/d/msgid/sympy/011bad81-0cd6- > 4156-954b-c015e38dc1ea%40googlegroups.com. > > > > For more options, visit https://groups.google.com/d/optout. > > -- > You received this message because you are subscribed to the Google Groups > "sympy" group. > To unsubscribe from this group and stop receiving emails from it, send an > email to [email protected]. > To post to this group, send email to [email protected]. > Visit this group at https://groups.google.com/group/sympy. > To view this discussion on the web visit https://groups.google.com/d/ > msgid/sympy/CADDwiVAfqK7Sxjx7okE9-TMR7yD3H4jd4-7HeE7L9FSpfZNsnA% > 40mail.gmail.com. > For more options, visit https://groups.google.com/d/optout. > -- You received this message because you are subscribed to the Google Groups "sympy" group. 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