2D quadrature for an array valued function
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Sam G. on 21 Jan 2011
I need to perform integration of an array valued function over a rectangular domain. I have found dblquad and quad2, which will perform 2d integration with a scalar function, and quadv, which will perform 1d integration of an array valued function, but I need to do both. I put together a couple for loops that will perform a crude rectangular integration but it is quite slow. I was hoping to optimize my code with the built-in functions. Is there any way to combine the above functions to achieve what I'm looking for?
edit: Another approach would be to redefine the array valued function as a set of scalar functions, integrate them separately using dblquad, then reassemble them into an array. I'm working with a 12 x 12 array, however, which would mean defining 144 separate functions. Is there an efficient way to do this without writing out each function?
Doug Hull on 24 Jan 2011
What does it mean to integrate in this context? If this returned a scalar at each (x,y), I would integrate the scalar. How do I integrate an m x n array? Would you treat this as m*n different scalars to integrate separatly?
Best practice is to edit your question to reflect this new information. Then I will delete my comments for clarification, and you can too.
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