That's great. I hope that both of us get selected and work on this project.
On Tuesday, 4 April 2017 21:02:24 UTC+5:30, Ondřej Čertík wrote: > > 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] <javascript:>> 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/ > >> > > >> > -- > >> > 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] <javascript:>. > > To post to this group, send email to [email protected] > <javascript:>. > > 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/64cf10cd-431a-41be-9273-7e804bd37b2f%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. 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