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LebedevLaikovIntegrator Class Reference

An implementation of a Lebedev angular integrator. More...

#include <integrator.h>

Inheritance diagram for LebedevLaikovIntegrator

[legend]Collaboration diagram for LebedevLaikovIntegrator:

[legend]List of all members.

Public Methods
	LebedevLaikovIntegrator ()
	LebedevLaikovIntegrator (const Ref< KeyVal > &)
	LebedevLaikovIntegrator (StateIn &)
	LebedevLaikovIntegrator (int)
	~LebedevLaikovIntegrator ()
void	save_data_state (StateOut &)
	Save the base classes (with save_data_state) and the members in the same order that the StateIn CTOR initializes them. More...
int	nw (void) const
int	num_angular_points (double r_value, int ir)
double	angular_point_cartesian (int iangular, double r, SCVector3 &integration_point) const
void	print (std::ostream &=ExEnv::out()) const
	Print the object.
Protected Methods
void	init (int n)
Protected Attributes
int	npoint_
double*	x_
double *	y_
double *	z_
double *	w_

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Detailed Description

An implementation of a Lebedev angular integrator.

It uses code written by Dr. Dmitri N. Laikov.

This can generate grids with the following numbers of points: 6, 14, 26, 38, 50, 74, 86, 110, 146, 170, 194, 230, 266, 302, 350, 386, 434, 482, 530, 590, 650, 698, 770, 830, 890, 974, 1046, 1118, 1202, 1274, 1358, 1454, 1538, 1622, 1730, 1814, 1910, 2030, 2126, 2222, 2354, 2450, 2558, 2702, 2810, 2930, 3074, 3182, 3314, 3470, 3590, 3722, 3890, 4010, 4154, 4334, 4466, 4610, 4802, 4934, 5090, 5294, 5438, 5606, and 5810.

V.I. Lebedev, and D.N. Laikov "A quadrature formula for the sphere of the 131st algebraic order of accuracy" Doklady Mathematics, Vol. 59, No. 3, 1999, pp. 477-481.

V.I. Lebedev "A quadrature formula for the sphere of 59th algebraic order of accuracy" Russian Acad. Sci. Dokl. Math., Vol. 50, 1995, pp. 283-286.

V.I. Lebedev, and A.L. Skorokhodov "Quadrature formulas of orders 41, 47, and 53 for the sphere" Russian Acad. Sci. Dokl. Math., Vol. 45, 1992, pp. 587-592.

V.I. Lebedev "Spherical quadrature formulas exact to orders 25-29" Siberian Mathematical Journal, Vol. 18, 1977, pp. 99-107.

V.I. Lebedev "Quadratures on a sphere" Computational Mathematics and Mathematical Physics, Vol. 16, 1976, pp. 10-24.

V.I. Lebedev "Values of the nodes and weights of ninth to seventeenth order Gauss-Markov quadrature formulae invariant under the octahedron group with inversion" Computational Mathematics and Mathematical Physics, Vol. 15, 1975, pp. 44-51.

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Member Function Documentation

void LebedevLaikovIntegrator::save_data_state ( StateOut & s ) [virtual]

Save the base classes (with save_data_state) and the members in the same order that the StateIn CTOR initializes them. This must be implemented by the derived class if the class has data. Reimplemented from AngularIntegrator.

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The documentation for this class was generated from the following file:

• integrator.h

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