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Thread Subject:
Elliptical Integrals in Matlab

Subject: Elliptical Integrals in Matlab

From: Vsh

Date: 2 Jan, 2013 16:44:09

Message: 1 of 3

Hello everyone,

How does matlab compute ellliptical integrals, numerically or analytically? Is there anyway to to compute elliptical integrals, e.g. complete elliptical integral of second type, analytically? I would appreciate any help or references.

Also, Mathematica is able to perform elliptical integral on a complex number (fn: EllipticE) but its equivalent in matlab (fn: ellipke) can not perform integration in this domain. Again, any comments or references would be appreciated.

Thanks.

Subject: Elliptical Integrals in Matlab

From: Alan_Weiss

Date: 2 Jan, 2013 18:00:06

Message: 2 of 3

On 1/2/2013 11:44 AM, Vsh wrote:
> Hello everyone,
>
> How does matlab compute ellliptical integrals, numerically or
> analytically? Is there anyway to to compute elliptical integrals, e.g.
> complete elliptical integral of second type, analytically? I would
> appreciate any help or references.
>
> Also, Mathematica is able to perform elliptical integral on a complex
> number (fn: EllipticE) but its equivalent in matlab (fn: ellipke) can
> not perform integration in this domain. Again, any comments or
> references would be appreciated.
>
> Thanks.

Symbolic Math Toolbox has this functionality for MuPAD notebooks,
including in the complex domain.
http://www.mathworks.com/help/symbolic/mupad_ref/elliptice.html
The full list of related functions:
http://www.mathworks.com/help/symbolic/elliptic-integrals.html

Most computations are numeric, not analytic, as explained on the
reference pages.

Alan Weiss
MATLAB mathematical toolbox documentation

Subject: Elliptical Integrals in Matlab

From: Loren Shure

Date: 3 Jan, 2013 21:06:01

Message: 3 of 3


"Vsh " <siavashmonfared@gmail.com> wrote in message
news:kc1o4p$o3b$1@newscl01ah.mathworks.com...
> Hello everyone,
>
> How does matlab compute ellliptical integrals, numerically or
> analytically? Is there anyway to to compute elliptical integrals, e.g.
> complete elliptical integral of second type, analytically? I would
> appreciate any help or references.
>
> Also, Mathematica is able to perform elliptical integral on a complex
> number (fn: EllipticE) but its equivalent in matlab (fn: ellipke) can not
> perform integration in this domain. Again, any comments or references
> would be appreciated.
>
> Thanks.


http://www.mathworks.com/help/matlab/ref/ellipke.html
References

[1] Abramowitz, M., and I.A. Stegun. Handbook of Mathematical Functions.
Dover Publications, 1965.


--
Loren
http://blogs.mathworks.com/loren/
http://www.mathworks.com/matlabcentral/

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