Lobatto积分类似于Guass积分,但有如下差异:
1. 积分节点包括积分区间的端点.
2. 积分具有2n–3次代数精度,其中n是节点数.
公式如下:
Lobatto quadrature of function f(x) on interval [–1, +1]:
Abscissas: is
the
st zero
of
.
Here Pn(x) are Legendre
polynomials.
Weights:
Remainder:
Some of the weights are:
Number of points, n | Points, xi | Weights, wi |
---|---|---|
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摘自:http://en.wikipedia.org/w/index.php?title=Gaussian_quadrature