Re: [boost] GSoC

Subject: Re: [boost] GSoC
From: Utsav Tiwary (utsav.tiwary2011_at_[hidden])
Date: 2014-02-02 15:13:22

Wikipedia explains it concisely and clearly
http://en.wikipedia.org/wiki/Boundary_value_problem

Also, to get a brief idea about Finite difference Method -
http://www.stanford.edu/~fringer/teaching/numerical_methods_02/handouts/lecture9.pdf
.
This is a good link to start with. Pages 7 -10 explain the method.

On Mon, Feb 3, 2014 at 1:37 AM, Karsten Ahnert <
karsten.ahnert_at_[hidden]> wrote:

> On 02/02/2014 09:01 PM, Utsav Tiwary wrote:
> > Currently I am working on a semester long project to learn various
> > numerical methods like Gauss Elimination, Gauss Jacobi, Gauss Seidel
> > methods etc. to learn how to do the computations using MPI(Message
> Passing
> > Interface). Later I will be learning how to solve boundary value problem
> > using finite difference method using the same tool - MPI. The idea is to
> > develop a library which could make use of parallel programming to achieve
> > the objective of solving boundary value problems. I would love to hear
> > suggestions regarding the same.
>
> What exactly do you mean by boundary value problems? And how are finite
> difference are related to this problem?
>
> >
> >
> > On Mon, Feb 3, 2014 at 1:24 AM, Karsten Ahnert <
> > karsten.ahnert_at_[hidden]> wrote:
> >
> >> On 02/02/2014 04:08 PM, Utsav Tiwary wrote:
> >>> Thankyou for showing interest in the idea Mr. Ahnert. I would like to
> >> know
> >>> what pre-requisite knowledge do you expect any candidate to have prior
> to
> >>> starting to work on this project ?
> >>
> >> I have added a description of the implicit routines project idea and
> >> basic requirements for possible candidates at
> >>
> >> https://svn.boost.org/trac/boost/wiki/SoC2014
> >>
> >> It would also be good to have a basic idea how odeint works internally.
> >>
> >> If you are asking about the boundary value problem I need to know more
> >> about the idea and the methods to see wether I could mentor such a
> >> project. So a working description would be very useful.
> >>
> >>
> >>>
> >>>
> >>> On Sun, Feb 2, 2014 at 8:20 PM, Karsten Ahnert <
> >>> karsten.ahnert_at_[hidden]> wrote:
> >>>
> >>>> On 02/02/2014 12:00 PM, Christopher Kormanyos wrote:
> >>>>>> And we also would like to mentor a GSOC project about implicit
> >>>>>> methods in odeint. There are extremely important to solve PDEs.
> >>>>>
> >>>>> * Is the idea ripe enough for formulation?
> >>>>
> >>>> Yes, we had several GSOC project proposals about implicit ODE solvers
> >>>> last year but none of them had been accepted. Is this a problem for
> >>>> applications this year?
> >>>>
> >>>>> * Is there a committed mentor?
> >>>>>
> >>>>> Might the potential mentor formally add the project to the list here:
> >>>>>
> >>>>> https://svn.boost.org/trac/boost/wiki/SoC2014
> >>>>
> >>>> I would volunteer to mentor this project. Of course, I will add the
> >>>> description to the ideas page.
> >>>>
> >>>>
> >>>>
> >>>>> On Saturday, February 1, 2014 9:31 PM, Larry Evans <
> >>>> cppljevans_at_[hidden]> wrote:
> >>>>>
> >>>>> On 02/01/14 13:19, Karsten Ahnert wrote:
> >>>>>> On 02/01/2014 03:47 PM, Utsav Tiwary wrote:
> >>>>>>> Does it involve the use of parallel programming ? If not, is doing
> >> it a
> >>>>>>> good idea ?
> >>>>>>
> >>>>>> There was a GSOC last year about parallelization of odeint with MPI
> >> and
> >>>>>> OpenMP [1]. I think it was successful, although the code has not yet
> >>>>>> been merged into the odeint trunk. Parallelization with GPUs already
> >>>>>> works with the help of Thrust, VexCL or ViennaCL.
> >>>>>>
> >>>>>> odeint is a library devoted to solve the initial value problem of
> >> ODEs.
> >>>>>> I think building shooting methods for boundary value problems on top
> >> of
> >>>>>> odeint would be a good idea. And we also would like to mentor a GSOC
> >>>>>> project about implicit methods in odeint. There are extremely
> >> important
> >>>>>> to solve PDEs.
> >>>>>>
> >>>>> Back in June, 2011, petros posted a question to the user's list
> >>>>> about multi-array and pdes:
> >>>>>
> >>>>> http://thread.gmane.org/gmane.comp.lib.boost.user/68017
> >>>>>
> >>>>> Later, he posted a question about rotating the arrays axes:
> >>>>>
> >>>>>
> >>>>
> >>
> http://article.gmane.org/gmane.comp.lib.boost.user/68718/match=multi_array+rotated+views
> >>>>>
> >>>>> to help solve a pde using ADI (Alternating Direction Implicit):
> >>>>>
> >>>>>   http://article.gmane.org/gmane.comp.lib.boost.user/71096
> >>>>>
> >>>>> In response, I prototyped a method using ADI and mentioned it
> >>>>> here:
> >>>>>
> >>>>> http://article.gmane.org/gmane.comp.lib.boost.user/71047
> >>>>>
> >>>>> HTH.
> >>>>>
> >>>>> -regards,
> >>>>>
> >>>>> Larry
> >>>>>
> >>>>>
> >>>>>
> >>>>>
> >>>>>
> >>>>>
> >>>>>
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