GSoC16 : Implementation of Ordinary Differential Equation / Series

[Vivek Sangwan]

Hi Ondrej,

My name is Vivek Sangwan, a fourth year undergraduate at IIT Bombay. I am majoring in Electrical Engineering with minor degree in "Computer Science & Engineering". I was very fascinated by the idea of implementation of ODE and "series" module. I am very good at mathematics and have a very good knowledge about ODEs, PDEs and series etc. I also happen to one of the teaching assistants for the course of "Differential Equation" in IIT Bombay. I am very interested in Mathematics, would like to contribute to Open Source society.

Differential Equations :

 - I went through the current implementation module provided on the the page ( https://github.com/sympy/sympy/blob/master/sympy/solvers/ode.py ), and found that many modules are already implemented here. Here are the few which I think can be very helpful while solving an ODE, which are not yet implemented :

         - Solving ODE using Laplace transform. 
         - Finding another solution given one solution

         - Providing general solutions

Other than ODEs, I have some ideas about PDEs also. So let me know if you have already implemented something here in this area.

Series : 

- I am very interested in series as well, I think they can be very helpful in computing limits, integrals (comparison test; is one example)and solving differential equations, I would like to hear more about it from you. Any help will be appreciated.

As I mentioned earlier, I am very new to open source community, but willing to work my way into contributing to open society. Please provide me a starting point to work on.

Looking forward to hear from you.

Thanks

Vivek Sangwan  

[Aaron Meurer]

On Wed, Mar 2, 2016 at 3:20 PM, Vivek Sangwan <sangwan...@gmail.com> wrote:
> Hi Ondrej,
>
> My name is Vivek Sangwan, a fourth year undergraduate at IIT Bombay. I am
> majoring in Electrical Engineering with minor degree in "Computer Science &
> Engineering". I was very fascinated by the idea of implementation of ODE and
> "series" module. I am very good at mathematics and have a very good
> knowledge about ODEs, PDEs and series etc. I also happen to one of the
> teaching assistants for the course of "Differential Equation" in IIT Bombay.
> I am very interested in Mathematics, would like to contribute to Open Source
> society.
>
> Differential Equations :
> - I went through the current implementation module provided on the the page
> ( https://github.com/sympy/sympy/blob/master/sympy/solvers/ode.py ), and
> found that many modules are already implemented here. Here are the few which
> I think can be very helpful while solving an ODE, which are not yet
> implemented :
> - Solving ODE using Laplace transform.
> - Finding another solution given one solution
> - Providing general solutions
>
> Other than ODEs, I have some ideas about PDEs also. So let me know if you
> have already implemented something here in this area.

There is a very small PDE module but not very much is implemented.

Aaron Meurer

>
>
> Series :
> - I am very interested in series as well, I think they can be very helpful
> in computing limits, integrals (comparison test; is one example)and solving
> differential equations, I would like to hear more about it from you. Any
> help will be appreciated.
>
> As I mentioned earlier, I am very new to open source community, but willing
> to work my way into contributing to open society. Please provide me a
> starting point to work on.
>
> Looking forward to hear from you.
>
> Thanks
> Vivek Sangwan
>

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