File:GaulegExample.png

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Revision as of 07:26, 27 May 2008 by imported>Dmitrii Kouznetsov ({{Image notes |Description=Error of the approximation of the integral <math>\int_{-1}^1 f(x) {\rm d}x <math> with the <math>N</math>-point Legendre-Gaussian quadrature formula versus number <math>N</math> for the following functions: * <math>f(x)=\sqrt{1-x^2}</math> (red) * <math>f(x)=\frac{1}{1+x^2}</math> (green) * <math>f(x)=\frac{1}{3+x} </math> (blue) * <math>f(x)=x^16 </math> (black) In the last case, at <math> N>8 </math> the residual would be zero; practically, it is determined by the...)
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