Numerical integration projects and source code

Legendre roots in matlab

The following Matlab project contains the source code and Matlab examples used for legendre roots. This is a simple program I made for homework, the roots or zeros of the legendre's polinomials are used to integrate using the gauss quadrature, it works but it's still a bit uneficient, while I find a better way to use the roots.

Gauss jacobi quadrature in matlab

The following Matlab project contains the source code and Matlab examples used for gauss jacobi quadrature. Ever wonder how the weights and abscissae are calculated for the numerical conversion from radiance to flux? The long and the short of it is that Gauss-Jacobi quadrature determines the weights and abscissae which is similar to Gaussian for low-point quadrature but differs substantially for high-point quadrature.

Gauss-hermite quadrature using tabulated abscissas and weights in matlab

The following Matlab project contains the source code and Matlab examples used for gauss-hermite quadrature using tabulated abscissas and weights . Numerical integration from -Inf to Inf of an integrand in the form f(x)*exp(-x^2) f(x) must be a slowly varying function fn_val = GaussHermite(func, npt, varargin) func is a handle for f(x) npt is the number of points at which f(x) is to be evaluated.

Gui calculator based on gaussian quadrature inegration in matlab

The following Matlab project contains the source code and Matlab examples used for gui calculator based on gaussian quadrature inegration. This is a simple gui application that used gaussian quadrature inegration based on index=1-3. It can be easily extended to higher order of indices for better accuracy. For more information visit: http://en.wikipedia.org/wiki/Gaussian_quadrature

Calculate the solution to pocklington's integral equation in matlab

The following Matlab project contains the source code and Matlab examples used for calculate the solution to pocklington's integral equation . Compute the solution to Pocklingtons's Integral Equation using pulse basis functions and point matching. Assumes a straight wire along z-axis. Gauss-Legendre quadrature weights are computed using the following script: http://www.mathworks.com/matlabcentral/fileexchange/4540

Calculate the solution to hallen's integral equation in matlab

The following Matlab project contains the source code and Matlab examples used for calculate the solution to hallen's integral equation . Compute the solution to Hallen's Integral Equation with symmetric excitation using pulse basis functions and point matching. Assumes a straight wire along z-axis. Uses the following script for gaussian quadrature weights: http://www.mathworks.com/matlabcentral/fileexchange/4540

Quadcc is a robust, doubly-adaptive quadrature routine using clenshaw-curtis rules. in matlab

The following Matlab project contains the source code and Matlab examples used for quadcc is a robust, doubly-adaptive quadrature routine using clenshaw-curtis rules. . This is a Matlab implementation of "Algorithm 3" as described in "Increasing the Reliability of Adaptive Quadrature Using Explicit Interpolants", P.

Hermite quadrature in matlab

The following Matlab project contains the source code and Matlab examples used for hermite quadrature. Computes the Hermite Quadrature weights for a user specified set of grid points. A function f(x) is then numerically integrated on the grid based the values of the function and its first derivative at the grid points.

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