Elementary Numerical Analysis : Gaussian Numerical Integration
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1. Show that if an integration formula of the form
In ( f ) = ∑ wjf(xj)
is exact when integrating 1, x, x2, ..., xm, then it is exact for all polynomials of degree ≤ m.
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A proof involving Gaussian numerical integration is provided. The solution is detailed and well presented. The response was given a rating of "5" by the student who originally posted the question.
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GAUSSIAN NUMERICAL INTEGRATION
1. Show that if an integration formula of the form
In ( f ) = ∑ ...
Purchase this Solution
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