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Integrate vs Nintegrate for impulsive functions

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  • Subject: [mg61690] Integrate vs Nintegrate for impulsive functions
  • From: Pratik Desai <pdesai1 at>
  • Date: Wed, 26 Oct 2005 01:01:44 -0400 (EDT)
  • Sender: owner-wri-mathgroup at

Hi Folks

I have an expression resulting from a fourier series (for a 1D wave 
equation for a string) (fourier coeffficient) of the form

h[x_]=(-0.24982234345508192 - 0.0429732983215806*I)*
 Sin[(3.1734427242687215 + 0.3295480781081674*I)*x]*
 (Cosh[1000.*(-0.4 + x)^2] - Sinh[1000.*(-0.4 + x)^2])

I try to integrate this on the domain x(0,1) to get the fourier 
coefficient. I get some results that I need help explaining


 >>0+0 *I


 >>-0.0133612 - 0.00285551 \[ImaginaryI]

Is the result from NIntegrate valid

The initial condition is essentially a smoothed delta function at x=0.4

gxx[x_]=E^(-1000.*(-0.4 + x)^2)

Please advise


Pratik .

Pratik Desai
Graduate Student
Department of Mechanical Engineering
Phone: 410 455 8134

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