Well if you have an integral I(s) = \int_0^t f(s) ds then it satisfies I_s(s) = f(s).

-cjc

On 17 March 2017 at 09:36, Chris Eldred <chris.eldred@gmail.com> wrote:

Hey Colin,

What would that look like? Do you have a reference that describes how this works?

Regards,

-Chris

On Fri, Mar 17, 2017 at 10:32 AM, Colin Cotter <colin.cotter@imperial.ac.uk> wrote:

Hi Chris,

  Not really, that requires rather specialist tools. What you can do is introduce an auxiliary variable to write your integro-differential equation as a system of PDEs, and solve the resulting mixed system.

all the best

--cjc

On 17 March 2017 at 09:30, Chris Eldred <chris.eldred@gmail.com> wrote:

Hey Firedrakers,

I am interested in solving an integro-differential equation, with the
integral occurring in only one direction, and differentiation in the
other directions. Has anyone done something like this using Firedrake?
I would be using an extruded mesh, with extrusion occurring in the
direction of integration.

If so, is a there a reference or tutorial available? I have attached a
description of the problem. Any help would be greatly appreciated!

Regards,
Chris Eldred

--
Chris Eldred
https://www.math.univ-paris13.fr/~eldred/
Postdoctoral Fellow, LAGA, University of Paris 13
PhD, Atmospheric Science, Colorado State University, 2015
DOE Computational Science Graduate Fellow (Alumni)
B.S. Applied Computational Physics, Carnegie Mellon University, 2009
chris.eldred@gmail.com

--

http://www.imperial.ac.uk/people/colin.cotter

www.cambridge.org/9781107663916

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--

Chris Eldred
https://www.math.univ-paris13.fr/~eldred/
Postdoctoral Fellow, LAGA, University of Paris 13
PhD, Atmospheric Science, Colorado State University, 2015
DOE Computational Science Graduate Fellow (Alumni)
B.S. Applied Computational Physics, Carnegie Mellon University, 2009
chris.eldred@gmail.com

--

http://www.imperial.ac.uk/people/colin.cotter

www.cambridge.org/9781107663916

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