Object-oriented Scientific Computing Library: Version 0.910
Variables
o2scl_inte_qng_coeffs Namespace Reference

A namespace for the quadrature coefficients for non-adaptive integration. More...


Detailed Description

Documentation from GSL:
Gauss-Kronrod-Patterson quadrature coefficients for use in quadpack routine qng. These coefficients were calculated with 101 decimal digit arithmetic by L. W. Fullerton, Bell Labs, Nov 1981.

Variables

static const double x1 [5]
static const double w10 [5]
static const double x2 [5]
static const double w21a [5]
static const double w21b [6]
static const double x3 [11]
static const double w43a [10]
static const double w43b [12]
static const double x4 [22]
static const double w87a [21]
static const double w87b [23]

Variable Documentation

const double o2scl_inte_qng_coeffs::x1[5] [static]
Initial value:
 {
    0.973906528517171720077964012084452,
    0.865063366688984510732096688423493,
    0.679409568299024406234327365114874,
    0.433395394129247190799265943165784,
    0.148874338981631210884826001129720
  }

Abcissae common to the 10-, 21-, 43- and 87-point rule

Definition at line 44 of file gsl_inte_qng.h.

const double o2scl_inte_qng_coeffs::w10[5] [static]
Initial value:
 {
    0.066671344308688137593568809893332,
    0.149451349150580593145776339657697,
    0.219086362515982043995534934228163,
    0.269266719309996355091226921569469,
    0.295524224714752870173892994651338
  }

Weights of the 10-point formula

Definition at line 53 of file gsl_inte_qng.h.

const double o2scl_inte_qng_coeffs::x2[5] [static]
Initial value:
 {
    0.995657163025808080735527280689003,
    0.930157491355708226001207180059508,
    0.780817726586416897063717578345042,
    0.562757134668604683339000099272694,
    0.294392862701460198131126603103866
  }

Abcissae common to the 21-, 43- and 87-point rule

Definition at line 62 of file gsl_inte_qng.h.

const double o2scl_inte_qng_coeffs::w21a[5] [static]
Initial value:
 {
    0.032558162307964727478818972459390,
    0.075039674810919952767043140916190,
    0.109387158802297641899210590325805,
    0.134709217311473325928054001771707,
    0.147739104901338491374841515972068
  }

Weights of the 21-point formula for abcissae x1

Definition at line 71 of file gsl_inte_qng.h.

const double o2scl_inte_qng_coeffs::w21b[6] [static]
Initial value:
 {
    0.011694638867371874278064396062192,
    0.054755896574351996031381300244580,
    0.093125454583697605535065465083366,
    0.123491976262065851077958109831074,
    0.142775938577060080797094273138717,
    0.149445554002916905664936468389821
  }

Weights of the 21-point formula for abcissae x2

Definition at line 80 of file gsl_inte_qng.h.

const double o2scl_inte_qng_coeffs::x3[11] [static]
Initial value:
 {
    0.999333360901932081394099323919911,
    0.987433402908088869795961478381209,
    0.954807934814266299257919200290473,
    0.900148695748328293625099494069092,
    0.825198314983114150847066732588520,
    0.732148388989304982612354848755461,
    0.622847970537725238641159120344323,
    0.499479574071056499952214885499755,
    0.364901661346580768043989548502644,
    0.222254919776601296498260928066212,
    0.074650617461383322043914435796506
  }

Abscissae common to the 43- and 87-point rule

Definition at line 90 of file gsl_inte_qng.h.

const double o2scl_inte_qng_coeffs::w43a[10] [static]
Initial value:
 {
    0.016296734289666564924281974617663,
    0.037522876120869501461613795898115,
    0.054694902058255442147212685465005,
    0.067355414609478086075553166302174,
    0.073870199632393953432140695251367,
    0.005768556059769796184184327908655,
    0.027371890593248842081276069289151,
    0.046560826910428830743339154433824,
    0.061744995201442564496240336030883,
    0.071387267268693397768559114425516
  }

Weights of the 43-point formula for abscissae x1, x3

Definition at line 105 of file gsl_inte_qng.h.

const double o2scl_inte_qng_coeffs::w43b[12] [static]
Initial value:
 {
    0.001844477640212414100389106552965,
    0.010798689585891651740465406741293,
    0.021895363867795428102523123075149,
    0.032597463975345689443882222526137,
    0.042163137935191811847627924327955,
    0.050741939600184577780189020092084,
    0.058379395542619248375475369330206,
    0.064746404951445885544689259517511,
    0.069566197912356484528633315038405,
    0.072824441471833208150939535192842,
    0.074507751014175118273571813842889,
    0.074722147517403005594425168280423
  }

Weights of the 43-point formula for abscissae x3

Definition at line 119 of file gsl_inte_qng.h.

const double o2scl_inte_qng_coeffs::x4[22] [static]
Initial value:
 {
    0.999902977262729234490529830591582,
    0.997989895986678745427496322365960,
    0.992175497860687222808523352251425,
    0.981358163572712773571916941623894,
    0.965057623858384619128284110607926,
    0.943167613133670596816416634507426,
    0.915806414685507209591826430720050,
    0.883221657771316501372117548744163,
    0.845710748462415666605902011504855,
    0.803557658035230982788739474980964,
    0.757005730685495558328942793432020,
    0.706273209787321819824094274740840,
    0.651589466501177922534422205016736,
    0.593223374057961088875273770349144,
    0.531493605970831932285268948562671,
    0.466763623042022844871966781659270,
    0.399424847859218804732101665817923,
    0.329874877106188288265053371824597,
    0.258503559202161551802280975429025,
    0.185695396568346652015917141167606,
    0.111842213179907468172398359241362,
    0.037352123394619870814998165437704
  }

Abscissae of the 87-point rule

Definition at line 135 of file gsl_inte_qng.h.

const double o2scl_inte_qng_coeffs::w87a[21] [static]
Initial value:
 {
    0.008148377384149172900002878448190,
    0.018761438201562822243935059003794,
    0.027347451050052286161582829741283,
    0.033677707311637930046581056957588,
    0.036935099820427907614589586742499,
    0.002884872430211530501334156248695,
    0.013685946022712701888950035273128,
    0.023280413502888311123409291030404,
    0.030872497611713358675466394126442,
    0.035693633639418770719351355457044,
    0.000915283345202241360843392549948,
    0.005399280219300471367738743391053,
    0.010947679601118931134327826856808,
    0.016298731696787335262665703223280,
    0.021081568889203835112433060188190,
    0.025370969769253827243467999831710,
    0.029189697756475752501446154084920,
    0.032373202467202789685788194889595,
    0.034783098950365142750781997949596,
    0.036412220731351787562801163687577,
    0.037253875503047708539592001191226
  }

Weights of the 87-point formula for abscissae x1, x2, x3

Definition at line 161 of file gsl_inte_qng.h.

const double o2scl_inte_qng_coeffs::w87b[23] [static]
Initial value:
 {
    0.000274145563762072350016527092881,
    0.001807124155057942948341311753254,
    0.004096869282759164864458070683480,
    0.006758290051847378699816577897424,
    0.009549957672201646536053581325377,
    0.012329447652244853694626639963780,
    0.015010447346388952376697286041943,
    0.017548967986243191099665352925900,
    0.019938037786440888202278192730714,
    0.022194935961012286796332102959499,
    0.024339147126000805470360647041454,
    0.026374505414839207241503786552615,
    0.028286910788771200659968002987960,
    0.030052581128092695322521110347341,
    0.031646751371439929404586051078883,
    0.033050413419978503290785944862689,
    0.034255099704226061787082821046821,
    0.035262412660156681033782717998428,
    0.036076989622888701185500318003895,
    0.036698604498456094498018047441094,
    0.037120549269832576114119958413599,
    0.037334228751935040321235449094698,
    0.037361073762679023410321241766599
  }

Weights of the 87-point formula for abscissae x4

Definition at line 186 of file gsl_inte_qng.h.

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