Beispiel - SAM - ETH Zürich

order of quadrature rule
23
21
19
17
15
13
11
9
7
5
Nodes for Gauss−Radau quadrature rules
size of weight
0.8
0.7
0.6
0.5
0.4
0.3
0.2
Weights for Gauss−Radau quadrature rules
order = 3
order = 5
order = 7
order = 9
order = 11
order = 13
order = 15
order = 17
order = 19
order = 21
order = 23
Numerische
Mathemtik
3
0.1
1
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
node position x
Knoten: Radau-Quadraturformeln
Fig. 121
0
0 0.1 0.2 0.3 0.4 0.5 0.6 0.7 0.8 0.9 1
node position x
Gewichte: Radau-Quadraturformeln
Fig. 122
R. Hiptmair
rev 35327,
24. Juni
2011
Implizites-stufige L-stabile Radau-ESV, Konvergenzordnung2s−1
(→ Thm. 2.2.51, [8, Sect. 6.3.2])
3.4
p. 370