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Question: highly oscillatory integral...

Question:highly oscillatory integral...

gt335 5
integration
July 04 2013
1

@acer My question is about highly oscillatory integral.I wanna integrate 
int(int(f(x,y)*exp(i*w*g(x,y),y=0..1),x=0..1)) which is higly oscillatory integral in a triangle with vertices  (0,0),(1,0),(1,1) and with g(x,y)=x^2+y^2. Since g(x,y) has stationary  point at (0,0), I have to interpolate f(x,y) except (0,0) but also quite close to (0,0). The problem is that since interpolation is 3  dimendional,although I have used ArrayInterpolation, I havent get the  explicit formula of interpolation to integrate. ArrayInterpolation  function just gives numeric solution.Thanks...
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