GaussQuadrature.C File Reference

Gaussian quadrature rules in one dimension. More...

#include "GaussQuadrature.h"
#include <iostream>

Include dependency graph for GaussQuadrature.C:

Variables
static double	G1 [2][1]
	1-point rule. More...
static double	G2 [2][2]
	2-point rule. More...
static double	G3 [2][3]
	3-point rule. More...
static double	G4 [2][4]
	4-point rule. More...
static double	G5 [2][5]
	5-point rule. More...
static double	G6 [2][6]
	6-point rule. More...
static double	G7 [2][7]
	7-point rule. More...
static double	G8 [2][8]
	8-point rule. More...
static double	G9 [2][9]
	9-point rule. More...
static double	G10 [2][10]
	10-point rule. More...

Detailed Description

Gaussian quadrature rules in one dimension.

Date

Oct 27 2008

Author

Knut Morten Okstad / SINTEF

Variable Documentation

G1

double G1[2][1]

static

Initial value:

= {{
  
  0.0
},{
  
  2.0
}}

1-point rule.

Referenced by ASMu2D::computeBasisNurbs(), and GaussQuadrature::getGauss().

G10

double G10[2][10]

static

Initial value:

= {{
  
 -0.97390653,
 -0.86506337,
 -0.67940957,
 -0.43339539,
 -0.14887434,
  0.14887434,
  0.43339539,
  0.67940957,
  0.86506337,
  0.97390653
  
},{
  0.06667134,
  0.14945135,
  0.21908636,
  0.26926672,
  0.29552422,
  0.29552422,
  0.26926672,
  0.21908636,
  0.14945135,
  0.06667134
}}

10-point rule.

Referenced by GaussQuadrature::getGauss().

G2

double G2[2][2]

static

Initial value:

= {{
  
 -0.5773502691896257,
  0.5773502691896257
},{
  
  1.0,
  1.0
}}

2-point rule.

Referenced by ASMu2D::computeBasisNurbs(), and GaussQuadrature::getGauss().

G3

double G3[2][3]

static

Initial value:

= {{
  
 -0.7745966692414834,
  0.0               ,
  0.7745966692414834
},{
  
  0.5555555555555556,
  0.8888888888888889,
  0.5555555555555556
}}

3-point rule.

Referenced by GaussQuadrature::getGauss().

G4

double G4[2][4]

static

Initial value:

= {{
  
 -0.86113631159405257524,
 -0.33998104358485626481,
  0.33998104358485626481,
  0.86113631159405257524
},{
  
  0.34785484513745385736,
  0.65214515486254614264,
  0.65214515486254614264,
  0.34785484513745385736
}}

4-point rule.

Referenced by GaussQuadrature::getGauss().

G5

double G5[2][5]

static

Initial value:

= {{
  
 -0.90617984593866399282,
 -0.53846931010568309105,
  0.0                   ,
  0.53846931010568309105,
  0.90617984593866399282
},{
  
  0.23692688505618908749,
  0.47862867049936646808,
  0.56888888888888888888,
  0.47862867049936646808,
  0.23692688505618908749
}}

5-point rule.

Referenced by GaussQuadrature::getGauss().

G6

double G6[2][6]

static

Initial value:

= {{
  
 -0.9324695142031520,
 -0.6612093864662645,
 -0.2386191860831969,
  0.2386191860831969,
  0.6612093864662645,
  0.9324695142031520
},{
  
  0.1713244923791703,
  0.3607615730481386,
  0.4679139345726911,
  0.4679139345726911,
  0.3607615730481386,
  0.1713244923791703
}}

6-point rule.

Referenced by GaussQuadrature::getGauss().

G7

double G7[2][7]

static

Initial value:

= {{
  
 -0.9491079123427585,
 -0.7415311855993944,
 -0.4058451513773972,
  0.0               ,
  0.4058451513773972,
  0.7415311855993944,
  0.9491079123427585
},{
  
  0.1294849661688697,
  0.2797053914892767,
  0.3818300505051189,
  0.4179591836734694,
  0.3818300505051189,
  0.2797053914892767,
  0.1294849661688697,
}}

7-point rule.

Referenced by GaussQuadrature::getGauss().

G8

double G8[2][8]

static

Initial value:

= {{
  
 -0.9602898564975362,
 -0.7966664774136267,
 -0.5255324099163290,
 -0.1834346424956498,
  0.1834346424956498,
  0.5255324099163290,
  0.7966664774136267,
  0.9602898564975362
},{
  
  0.1012285362903763,
  0.2223810344533745,
  0.3137066458778873,
  0.3626837833783620,
  0.3626837833783620,
  0.3137066458778873,
  0.2223810344533745,
  0.1012285362903763,
}}

8-point rule.

Referenced by GaussQuadrature::getGauss().

G9

double G9[2][9]

static

Initial value:

= {{
  
 -0.9681602395076261,
 -0.8360311073266358,
 -0.6133714327005904,
 -0.3242534234038089,
  0.0,
  0.3242534234038089,
  0.6133714327005904,
  0.8360311073266358,
  0.9681602395076261
},{
  
  0.0812743883615744,
  0.1806481606948574,
  0.2606106964029354,
  0.3123470770400029,
  0.3302393550012598,
  0.3123470770400028,
  0.2606106964029355,
  0.1806481606948574,
  0.0812743883615744
}}

9-point rule.

Referenced by GaussQuadrature::getGauss().