Hi Aaron,


Thank you for your feedback.

I have also shifted my focus toward *FPS (Formal Power Series), rings, and 
domains*, as I believe these areas align more closely with core SymPy 
improvements. The open issue *gh-26957 
<http://Hi%20Aaron,%20%20Thank%20you%20for%20your%20feedback.%20%20I%20have%20also%20shifted%20my%20focus%20toward%20FPS%20(Formal%20Power%20Series),%20rings,%20and%20domains,%20as%20I%20believe%20these%20areas%20align%20more%20closely%20with%20core%20SymPy%20improvements.%20The%20open%20issue%20gh-26957%20provides%20valuable%20information%20and%20guidance%20on%20this%20topic.%20Additionally,%20I%20have%20opened%20a%20discussion%20to%20gather%20feedback%20on%20this%20direction%20and%20hope%20mentors%20can%20provide%20further%20insights%20to%20refine%20the%20scope%20and%20approach.%20%20That%20said,%20I%20still%20plan%20to%20work%20on%20a%20PDE%20solver%20in%20the%20future,%20as%20I%20see%20its%20importance.%20However,%20for%20now,%20my%20focus%20is%20on%20foundational%20improvements%20that%20have%20a%20broader%20impact.%20%20Best%20regards,%20Jatin>*
 
provides valuable information and guidance on this topic. Additionally, I 
have opened a discussion to gather feedback on this direction and hope 
mentors can provide further insights to refine the scope and approach.


Best regards,

*Jatin*


On Thursday, 27 February 2025 at 14:51:00 UTC+5:30 [email protected] 
wrote:

> Hello,
>
> Thank you for your insights on SymPy's priorities. Following your 
> discussion about PDE solver, I'd like to inquire about SymPy's current 
> direction regarding *Computational Group Theory.*
>
> I'm considering a project proposal focused on *implementing Quotient 
> Groups, Automorphism Groups, and algorithms for Infinite Groups*. Could 
> you please guide *if this aligns* with SymPy's *current priorities* and 
> whether *mentors* would be *available *for such a project?
>
> I've taken relevant Abstract Algebra ( Group,Ring, Field, Galois Theory) 
> courses at university, and have started with the reference mentioned on the 
> ideas page :  *Handbook of Computational Group Theory* 
> Before proceeding further, I wanted to confirm if this area would be 
> considered of any value and relevance for SymPy's development at this time.
>
> Best regards,
> Ashutosh Rajora
>
>
> On Thu, Feb 27, 2025 at 2:11 PM Aaron Meurer <[email protected]> wrote:
>
>> I would also argue that symbolic PDE solvers are relevant and in-scope
>> for SymPy. However, I also do agree with Oscar that as far as
>> priorities go, many other things such as polynomials and matrices are
>> much more important, as they affect virtually all parts of SymPy,
>> whereas a PDE solver is not going to be used by any other part of
>> SymPy.
>>
>> Aaron Meurer
>>
>> On Fri, Feb 7, 2025 at 7:44 AM Nicolas Guarin <[email protected]> wrote:
>> >
>> > Hello,
>> >
>> > I am in a different position than Oscar. Differential equations (and 
>> PDEs) have a place in the symbolic world. And the solution of them is one 
>> part. SymPy is far from doing what is possible with Maple regarding PDE 
>> solutions, for example. We are also lacking approximation done 
>> symbolically, as well. Asymptotic approximations, for example.
>> >
>> > I have used this kind of thing for benchmarking my numerical solutions 
>> using finite element methods, and consider that they are helpful.
>> >
>> > I have never been a mentor in GSOC in the past, but maybe I could try 
>> to if someone gives me a hand.
>> >
>> > Best regards,
>> > Nicolás
>> >
>> >
>> > On Thursday, February 6, 2025 at 10:07:44 AM UTC-5 
>> [email protected] wrote:
>> >>
>> >> Hi Oscar,
>> >>
>> >>
>> >> Thank you for your detailed response. I understand your perspective on 
>> prioritizing core functionalities. It makes sense that improving algebra, 
>> polynomials, matrices, and core solvers would provide a stronger foundation 
>> for symbolic computations.
>> >>
>> >> I appreciate your insights and keep these priorities in mind while 
>> considering future contributions to SymPy. While waiting for more reviews, 
>> I’ve begun looking into other core functionalities within SymPy that could 
>> be enhanced to improve the library further and make it a better fit for the 
>> project.
>> >>
>> >>
>> >> Best regards,
>> >>
>> >> Jatin
>> >>
>> >> On Thursday, 6 February 2025 at 03:12:17 UTC+5:30 Oscar wrote:
>> >>>
>> >>> On Wed, 5 Feb 2025 at 13:41, Jatin Bhardwaj <[email protected]> 
>> wrote:
>> >>> >
>> >>> > Hello SymPy developers,
>> >>> >
>> >>> >
>> >>> > I am interested in improving SymPy's PDE-solving functionality, 
>> particularly for quasilinear first-order PDEs, general first-order 
>> nonlinear PDEs, and second-order PDEs. Currently, SymPy has strong support 
>> for linear PDEs, but handling nonlinear cases—especially quasilinear and 
>> fully nonlinear PDEs—remains limited.
>> >>> >
>> >>> >
>> >>> > My primary question is: Does expanding PDE support in these areas 
>> align with SymPy’s current development roadmap and priorities?
>> >>> >
>> >>> >
>> >>> > If this aligns with SymPy’s goals, I would be enthusiastic about 
>> contributing to this effort. I have a strong foundation in calculus and 
>> differential equations, which I believe will be valuable in tackling this 
>> challenge. I’m prepared to delve into the computational implementation of 
>> these features and develop a concrete plan of action.
>> >>> >
>> >>> > To facilitate this process, I would greatly appreciate any guidance 
>> on:
>> >>> > 1. Recommended resources for proposed features.
>> >>> > 2. Any potential challenges or considerations unique to 
>> implementing nonlinear PDE solvers.
>> >>>
>> >>> Hi Jatin,
>> >>>
>> >>> SymPy does not have a broadly agreed development roadmap and list of
>> >>> priorities. Rather different people have different things that they
>> >>> are working on and would prioritise. I will answer in terms of my own
>> >>> sense of a roadmap and priorities.
>> >>>
>> >>> SymPy has various solver functions e.g. solve for algebraic equations,
>> >>> dsolve for ODEs and pdsolve for PDEs and many more. The usefulness of
>> >>> these functions is often questionable. Even in the case of solve it
>> >>> would often be better to use something else such as to compute
>> >>> numerical solutions rather than analytic solutions. For dsolve, only
>> >>> quite simple ODEs can be solved. The implementation can be improved to
>> >>> handle more DEs but there would still be a tiny subset of problems
>> >>> where analytic solutions can be computed and a vast array of practical
>> >>> problems that realistically can only be handled numerically. When you
>> >>> go to pdsolve and PDEs the set of cases that can be solved
>> >>> analytically is so small that a function like pdsolve is almost
>> >>> useless. It would be much more useful to users if SymPy just provided
>> >>> something like an ndsolve function that could solve differential
>> >>> equations numerically using SciPy's solvers rather than making them go
>> >>> through lambdify.
>> >>>
>> >>> That does not mean that we can't do useful things with symbolics when
>> >>> solving these different types of equations. Often though the useful
>> >>> thing is to do some symbolic manipulation that then helps with a
>> >>> subsequent approximate or numeric calculation e.g. we could compute a
>> >>> series solution or transform the equations somehow. Some symbolic
>> >>> manipulation is needed even just to set up a numeric solution to a PDE
>> >>> so you could imagine something useful where SymPy can do that and then
>> >>> set things up so that the problem could be solved numerically with
>> >>> e.g. FEniCS.
>> >>>
>> >>> All of these are also things that could be built on top of SymPy
>> >>> though so e.g. someone could make a library that depends on SymPy and
>> >>> that uses it to do useful things with PDEs and FEniCS etc. The
>> >>> capabilities that such a library would provide would be the same if it
>> >>> was part of SymPy or just a separate library. Its capabilities would
>> >>> be limited though by the capabilities of the core parts of SymPy. When
>> >>> I look at GSOC proposals I am much more interested in proposals that
>> >>> improve existing core functionality that would provide a good
>> >>> foundation for other things to be built on top.
>> >>>
>> >>> If SymPy did not have pdsolve and someone proposed it in a GSOC
>> >>> project now then I would say that we should reject the proposal. The
>> >>> only way that I would be happy to add pdsolve is if the code was
>> >>> already written, comprehensive, well tested, with a well defined scope
>> >>> and had already been proven to be useful. As it is we have a function
>> >>> that is not that useful and would still not be that useful even if
>> >>> someone improved it a bit. I'm not interested in having a GSOC project
>> >>> that tries to improve pdsolve rather than some other project that
>> >>> improves some core part of SymPy.
>> >>>
>> >>> It is possible that someone else would be interested in supervising a
>> >>> project around pdsolve but personally I would not and I would not
>> >>> consider it to be any kind of priority for SymPy's roadmap. The
>> >>> priorities from my perspective are more things like core algebra,
>> >>> polynomials and matrices, functions like solve, limits, series, code
>> >>> generation, performance, etc. If these parts of SymPy are good then it
>> >>> provides a good foundation for someone to make a symbolic PDE library
>> >>> but if we don't have the resources to handle the core things then we
>> >>> should not spend those resources on things that could just be in other
>> >>> libraries that depend on SymPy.
>> >>>
>> >>> Oscar
>> >
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