Ask Your Question
1

Is there a built-in way to integrate a vector or differential form field on an embedded submanifold of Euclidean space?

asked 2021-04-07 20:03:54 +0200

perfectly_odd gravatar image

Reasons for asking: I'm doing calculations related to some problems in electromagnetism, and want to be able to compute fluxes, circulations, and similar integrals of vector fields over submanifolds of R^3. Ideally, I'd just define the surface or region of interest, then pass the (existing) field and domain to some built-in function to compute the relevant integral. Does such a thing exist at present?

edit retag flag offensive close merge delete

1 Answer

Sort by ยป oldest newest most voted
0

answered 2021-04-08 09:55:39 +0200

eric_g gravatar image

Sorry, integration on manifolds is not implemented yet. You are very welcome to contribute to SageMath by implementing it; please visit https://sagemanifolds.obspm.fr/contri... and https://trac.sagemath.org/ticket/30525.

edit flag offensive delete link more

Comments

Again, thanks. I'll take a look at the ticket, but am not incredibly optimistic about my ability to implement this functionality well or generically.

perfectly_odd gravatar imageperfectly_odd ( 2021-04-09 01:33:12 +0200 )edit

Your Answer

Please start posting anonymously - your entry will be published after you log in or create a new account.

Add Answer

Question Tools

1 follower

Stats

Asked: 2021-04-07 20:03:54 +0200

Seen: 30 times

Last updated: Apr 08