sll_m_gauss_lobatto_integration.F90 File Reference

#include "sll_working_precision.h"

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Data Types
interface	sll_o_gauss_lobatto_integrate_1d
	Integrate numerically with Gauss-Lobatto formula. More...

Modules
module	sll_m_gauss_lobatto_integration
	Gauss-Lobatto integration.

Functions/Subroutines
real(kind=f64) function	gauss_lobatto_integral_1d (f, a, b, n)
	Gauss-Lobatto Quadrature. More...
real(kind=f64) function, dimension(2, n), public	sll_f_gauss_lobatto_points_and_weights (n, a, b)
	Returns a 2d array of size (2,n) containing gauss-lobatto points and weights in the interval [a,b]. More...
real(kind=f64) function, dimension(n), public	sll_f_gauss_lobatto_points (n, a, b)
	Returns a 1d array of size (n) containing gauss-lobatto points in the interval [a,b]. More...
real(kind=f64) function, dimension(n), public	sll_f_gauss_lobatto_weights (n, a, b)
	Returns a 1d array of size (n) containing gauss-lobatto weights in the interval [a,b]. More...
function, public	sll_f_gauss_lobatto_derivative_matrix (n, y)
	Construction of the derivative matrix for Gauss-Lobatto, The matrix must be already allocated of size \( n^2 \). More...
subroutine	dlob (n, dalpha, dbeta, dleft, dright, dzero, dweigh, ierr, de, da, db)
	This comes from http://dl.acm.org, Algorithme 726 : ORTHPOL, appendices and supplements To use those functions, READ the documentation beside and find more information about coefficients in paper Algorithm 726 - ORTHPOL: A package of routines for generating orthogonal polynomials and Gauss-type quadrature rules by Walter Gautschi (here xxx is 726 in other references) formulas (1.1) to (1.3) page 2, and book Numerical Mathematics by Alfio Quarteroni, Riccardo Sacco and Fausto Saleri section 10. More...
subroutine	dgauss (n, dalpha, dbeta, deps, dzero, dweigh, ierr, de)
	Given n and a measure dlambda, this routine generates the n-point Gaussian quadrature formula. More...