- #1
presto
- 23
- 0
http://en.wikipedia.org/wiki/Newton–Cotes_formulas
Simpson rule: 1 4 1, and the composite version: 1 4 2 4 2 4 2 4 ...4 1
in a double integral we just compute rows, and next columns, a this gives a matrix:
http://mathfaculty.fullerton.edu/mathews/n2003/SimpsonsRule2DMod.html
Milne's rule is: 2 -1 2, thus a composite version should be probably:
2 -1 4 -1 4 -1 ... -1 2for 2D we have 2n+1 such rows, then I must apply the same rule to the rows,
but I don't konow how do that...
in a first column there are 2 only, in a second -1, ext.
then I apply the 2 -1 2 scheme to these 2s, but how: adding or multipling by these numbers: 2 -1 2 ?
Simpson rule: 1 4 1, and the composite version: 1 4 2 4 2 4 2 4 ...4 1
in a double integral we just compute rows, and next columns, a this gives a matrix:
http://mathfaculty.fullerton.edu/mathews/n2003/SimpsonsRule2DMod.html
Milne's rule is: 2 -1 2, thus a composite version should be probably:
2 -1 4 -1 4 -1 ... -1 2for 2D we have 2n+1 such rows, then I must apply the same rule to the rows,
but I don't konow how do that...
in a first column there are 2 only, in a second -1, ext.
then I apply the 2 -1 2 scheme to these 2s, but how: adding or multipling by these numbers: 2 -1 2 ?