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Mathematics版 - Re: 用那种方法数值计算面积分?
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w**d
发帖数: 2334
1
It is a tough question if you want minimum number of points for given
accuracy. It is usually called cubiture(?).
A easiest way is to use the tensor product of one dimentional Gauss-Quadrature
points.
w**d
发帖数: 2334
2
a few references:
{\sc A.~H. Stroud}, {\em Approximate Calculation of Multiple Integrals}.
Prentice-Hall Publishing, New Jersey, 1971.
{\sc R. Cools and P. Rabinowitz}, {\em Monomial cubature rules since Stroud:
A Compilation},
J. Comput. Appl. Math. {\bf 48}(1993), pp.~309-326.
{\sc R. Cools}, {\em Monomial cubature rules since Stroud: A Compilation - Part
2},
J. Comput. Appl. Math. {\bf 112}(1999), pp.~21--27.
You can also check the homepage of Cools.

【在 w**d 的大作中提到】
: It is a tough question if you want minimum number of points for given
: accuracy. It is usually called cubiture(?).
: A easiest way is to use the tensor product of one dimentional Gauss-Quadrature
: points.

1 (共1页)
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