Hi Arif,

Yes, I see both your and Vedarth's proposals as submitted.

Thanks for your work. We will be in touch via comments.

Ondrej

On Mon, Apr 3, 2017 at 11:51 PM, Arif Ahmed
<[email protected]> wrote:
> I did submit a final proposal. Can you please confirm that you are able to
> view both our proposals on the Google site ?
>
> --Regards,
>   Arif Ahmed
>
> On Tuesday, April 4, 2017 at 2:44:47 AM UTC+5:30, Ondřej Čertík 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/8800fd2ab1553cd768ad743c44b3ed00c111c368/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/
>> >
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