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] <javascript:>> 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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