PDF4PRO ⚡AMP

Modern search engine that looking for books and documents around the web

Example: stock market

Numerical integration: Gaussian quadrature rules

APMA 0160 (A. Yew) Spring 2011 Numerical integration : Gaussian quadrature rulesMatlab s built-in Numerical integration function[Q,fcount]=quad(f,a,b,tol)is essentially oursimp_compextrcode with some further efficiency-enhancing thatquadrequires scalar functions to be defined with elementwise operations, sof(x) =21+x2should be entered asf=inline( (1+x.^2) , x )orf=@(x) (1+x.^2)The default tolerance forquadis 10 has another efficient integration command calledquadl, with the same input and outputarguments. The method underlyingquadlis a Gaussian quadrature rule.

Matlab has another efficient integration command called quadl, with the same input and output arguments. The method underlying quadl is a “Gaussian quadrature rule”. Recall that each Newton–Cotes quadrature rule came from integrating the Lagrange polynomial that interpolates the integrand f at n equally spaced nodes in the interval [a,b].

Loading..

Tags:

  Integration

Information

Domain:

Source:

Link to this page:

Please notify us if you found a problem with this document:

Spam in document Broken preview Other abuse

Transcription of Numerical integration: Gaussian quadrature rules

Related search queries