Abstract
In this chapter we discuss numerical approximation of the integral
The integrand fcan be well-behaved or singular, although our initial development assumes fis continuous and, usually, several times continuously differentiable. Such integrals occur in a wide variety of physical applications; and the calculation of the coefficients in a Laplace series expansion of a given function (see (4.55)) requires evaluating such integrals.
Keywords
- Gauss Product Formula
- Hyperinterpolation
- Centroid Rule
- Minimax Error
- Centroid Method
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 2012 Springer-Verlag Berlin Heidelberg
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Atkinson, K., Han, W. (2012). Numerical Quadrature. In: Spherical Harmonics and Approximations on the Unit Sphere: An Introduction. Lecture Notes in Mathematics(), vol 2044. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-25983-8_5
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DOI: https://doi.org/10.1007/978-3-642-25983-8_5
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Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-25982-1
Online ISBN: 978-3-642-25983-8
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