# Numerical integration using clenshaw-curtis quadrature. in matlab

The following Matlab project contains the source code and Matlab examples used for numerical integration using clenshaw-curtis quadrature. . Y = QUADCC(FUN,A,B) estimates the definite integral of the function FUN from A to B, using an adaptive Clenshaw-Curtis quadrature scheme.

# Legendre gauss quadrature weights and nodes in matlab

The following Matlab project contains the source code and Matlab examples used for legendre gauss quadrature weights and nodes. This is a simple script which produces the Legendre-Gauss weights and nodes for computing the definite integral of a continuous function on some interval [a,b].

The following Matlab project contains the source code and Matlab examples used for radial quadrature and spectral methods. Computes the nodes and weights for numerically solving integrals of the form      /R    | f(r) r^k dr    /0   on N grid points.

# 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.

# Summed newton cotes rules in matlab

The following Matlab project contains the source code and Matlab examples used for summed newton cotes rules. This script numerically computes intergrals using the summed Newton-Cotes rules on a uniformly spaced grid. The 2-point (tapezoidal) through 11-point formulas are supported.

# Gauss quadrature for tetrahedra in matlab

The following Matlab project contains the source code and Matlab examples used for gauss quadrature for tetrahedra. This script computes the (x,y,z) Gauss quadrature nodes and weights for a tetrahedron with user-specied vertices.

# N dimensional simplex quadrature in matlab

The following Matlab project contains the source code and Matlab examples used for n dimensional simplex quadrature. This script computes the weights and nodes for a Gauss quadrature rule on an n-dimensional simplex.

# 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.

# Cumulative integration of analytical functions via adaptive simpsons quadrature. in matlab

The following Matlab project contains the source code and Matlab examples used for cumulative integration of analytical functions via adaptive simpsons quadrature. . This function is an adaptation of Matlab's "quad" function to return the cumulative integration of an analytical function.

# 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.

# Adaptive form of gaussleg.m. in matlab

The following Matlab project contains the source code and Matlab examples used for adaptive form of gaussleg.m. . gaussquad(f,a,b) GAUSSQUAD uses an adaptive formulation of Gauss-Legendre quadrature to evaluate the integral of f from a to b with default tolerance of 10^-14.

# 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 roots of chebyshev polynomials. in matlab

The following Matlab project contains the source code and Matlab examples used for calculate roots of chebyshev polynomials.. This function will calculate and optionally scale and translate the roots of a Chebyshev polynomial of type T_n(x) or U_n(x) of arbitrary degree.

# Legendre laguerre and hermite gauss quadrature in matlab

The following Matlab project contains the source code and Matlab examples used for legendre laguerre and hermite gauss quadrature. This .

# 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

# Quadrature rule for evaluating integrals containing bessel functions in matlab

The following Matlab project contains the source code and Matlab examples used for quadrature rule for evaluating integrals containing bessel functions. Using Ogata's method for numerically evaluate integrals using zero's of Bessel function.

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.

# Gauss laguerre quadrature in matlab

The following Matlab project contains the source code and Matlab examples used for gauss laguerre quadrature. Finds zeros and improves via recursion

# Evaluates cubic polynomial numerical integration in matlab

The following Matlab project contains the source code and Matlab examples used for evaluates cubic polynomial numerical integration . Z = quad3(X,Y) computes an approximation of the integral of Y with respect to X using cubic polynomial method. Requires 7N mult + 3N add.

# Laguerre polynomial for order n and argument x. in matlab

The following Matlab project contains the source code and Matlab examples used for laguerre polynomial for order n and argument x. . Function to calculate the Laguerre orthogonal polynomials; polynomial coefficients are also provided by the function. Input argument X can be of any dimension, but the function provides only the polynomial of requested order.

# Richardson Extrapolation Matlab Code

The following matlab project contains the source code and matlab examples used for richardson extrapolation.

# Gauss-legendre quadrature with richardson extrapolation. in matlab

The following Matlab project contains the source code and Matlab examples used for gauss-legendre quadrature with richardson extrapolation. . Yes I know, there is no particular need for another 1-d quadrature.

# Numerical Integration Matlab Code

The following matlab project contains the source code and matlab examples used for numerical integration.

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.

# Gaussian quadrature for triangles in matlab

The following Matlab project contains the source code and Matlab examples used for gaussian quadrature for triangles. This script computes Gauss nodes and weights for numerically integrating a fuction over an arbitrary triangular domain. Note: This method uses the collapsed square rather than the general cubature case.

# Quadrature rules for spherical volume integrals in matlab

The following Matlab project contains the source code and Matlab examples used for quadrature rules for spherical volume integrals. SPHEREQUAD generates quass quadrature nodes and weights for numercially computing volume integrals in spherical coordinates (r,theta,phi).

# Bulirsch stoer propagator integrator in matlab

The following Matlab project contains the source code and Matlab examples used for bulirsch stoer propagator integrator. Description: The bulirsch-Stoer single-step ODE propagator has come to MATLAB in the form of a MEX adaptation of Juergen Dietel's Numerical ODE solver.

# Gegenbauer gauss lobatto quadrature in matlab

The following Matlab project contains the source code and Matlab examples used for gegenbauer gauss lobatto quadrature. Computes weights and nodes for Gegenbauer (Ultraspherical) Lobatto quadrature where the Gegenbauer parameter -1/2<a<0 or a>0. Also computes the corresponding Vandermonde matrix.

# Simpson's rule integration in matlab

The following Matlab project contains the source code and Matlab examples used for simpson's rule integration. This function computes the integral "I" via Simpson's rule in the interval [a,b] with n+1 equally spaced points Syntax: I = simpsons(f,a,b,n) Where,  f= can either be an anonymous function (e.

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