Maple worksheets on numerical integration


Numerical methods topics:

The following Maple worksheets can be downloaded.

They are all compatible with Classic Worksheet Maple 10.

Trapezoidal rule

The trapezoidal rule - trapezoid.mws

Simpson's rule - simpson.mws

Applying Simpson's rule adaptively - adaptsimp.mws

Error analysis for the trapezoidal rule and Simpson's rule - simperr.mws

Simpson's rule for unequally spaced data points - simpint.mws

Newton-Cotes rules - NCint.mws

Gauss-Legendre quadrature I - gauss.mws

Gauss-Legendre quadrature II - GLint.mws

Gauss-Kronrod quadrature - kronrod.mws

A procedure for performing Gauss-Kronrod quadrature - GKint.mws

Chebyshev polynomials and Chebyshev series - chebfit.mws

Clenshaw-Curtis quadrature - CCint.mws

Romberg integration - romberg.mws

Comparison of methods of numerical integration - compare.mws

Numerical integration of functions of varying "smoothness" - smooth.mws

Numerical integration procedures -

Data for the Gauss-Kronrod integration procedure GKint -

Spikey graph integral

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