D01TDF Example Program Results
Using the Gauss-Legendre Rule
j Abscissa Weight
1 -0.861136311594053D+00 0.347854845137454D+00
2 -0.339981043584856D+00 0.652145154862546D+00
3 0.339981043584856D+00 0.652145154862546D+00
4 0.861136311594052D+00 0.347854845137454D+00
Using the Chebyshev Rule 1
j Abscissa Weight
1 -0.923879532511287D+00 0.785398163397449D+00
2 -0.382683432365090D+00 0.785398163397447D+00
3 0.382683432365090D+00 0.785398163397449D+00
4 0.923879532511287D+00 0.785398163397450D+00
Using the Chebyshev Rule 2
j Abscissa Weight
1 -0.809016994374947D+00 0.217078713422706D+00
2 -0.309016994374947D+00 0.568319449974742D+00
3 0.309016994374948D+00 0.568319449974742D+00
4 0.809016994374947D+00 0.217078713422706D+00
Using the Jacobi Rule: alpha = 0.50000 beta = 0.50000
j Abscissa Weight
1 -0.809016994374947D+00 0.217078713422706D+00
2 -0.309016994374947D+00 0.568319449974742D+00
3 0.309016994374947D+00 0.568319449974742D+00
4 0.809016994374947D+00 0.217078713422706D+00
Using the Laguerre Rule
j Abscissa Weight
1 0.523526076738269D+00 0.453008746558608D+00
2 0.215664876326909D+01 0.381616960171800D+00
3 0.513738754617671D+01 0.507946275722408D-01
4 0.101824376138159D+02 0.806591150110031D-03
Using the Hermite Rule
j Abscissa Weight
1 -0.165068012388578D+01 0.813128354472451D-01
2 -0.524647623275290D+00 0.804914090005513D+00
3 0.524647623275290D+00 0.804914090005512D+00
4 0.165068012388578D+01 0.813128354472453D-01