DiffEqs`FourierTools`

This package provides functions for computing partial sums of Fourier series.

FourierSum[f[x], {x, -L, L}, m]
    returns the first m terms of the Fourier series of f[x] on [-L, L].
    
NFourierSum[f[x], {x, -L, L}, m]
    returns the first m terms of the Fourier series of f[x] on [-L, L] with numerical coefficients.
    
FourierCosSum[f[x], {x, 0, L}, m]
    
returns the first m terms of the Fourier cosine series of f[x] on [0, L].

NFourierCosSum[f[x], {x, 0, L}, m]
    returns the first m terms of the Fourier cosine series of f[x] on [0, L] with numerical coefficients.

FourierSinSum[f[x], {x, 0, L}, m]
    returns the first m terms of the Fourier sine series of f[x] on [0, L].

NFourierSinSum[f[x], {x, 0, L}, m]
    
returns the first m terms of the Fourier sine series of f[x] on [0, L] with numerical coefficients.


Computing terms of Fourier series.

 

This loads the package.

<< DiffEqs`FourierTools`

The following are a few examples that illustrate the use of the functions in FourierTools.

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Converted by Mathematica      June 10, 2002