Radau Quadrature

A Gaussian Quadrature-like formula for numerical estimation of integrals. It requires points and fits allPolynomials to degree , so it effectively fits exactly all Polynomials ofdegree . It uses a Weighting Function in which the endpoint in the interval is includedin a total of Abscissas, giving free abscissas. The general formula is

(1)

(2)

(3)

(4)

(5)

2		0.5
	0.333333	1.5
3		0.222222
		1.02497
	0.689898	0.752806
4		0.125
		0.657689
	0.181066	0.776387
	0.822824	0.440924
5		0.08
		0.446208
		0.623653
	0.446314	0.562712
	0.885792	0.287427

The Abscissas and weights can be computed analytically for small .

2
3

References

Abramowitz, M. and Stegun, C. A. (Eds.). Handbook of Mathematical Functions with Formulas, Graphs, and Mathematical Tables, 9th printing. New York: Dover, p. 888, 1972.

Chandrasekhar, S. Radiative Transfer. New York: Dover, p. 61, 1960.

Hildebrand, F. B. Introduction to Numerical Analysis. New York: McGraw-Hill, pp. 338-343, 1956.

• Skew Conic
• Skewes Number
• Skew Field
• Skew Lines
• Skewness
• Skew Polyomino
• Skew Quadrilateral
• Skew Symmetric Matrix
• Sklar's Theorem
• Skolem-Mahler-Lerch Theorem
• Skolem Paradox
• Skolem Sequence
• Slant Height
• Slice Knot
• Slide Move
• Slide Rule
• Slightly Defective Number
• Slightly Excessive Number
• Slip Knot
• Slope
• Slothouber-Graatsma Puzzle
• Slutzky-Yule Effect
• Sluze Pearls
• Smale-Hirsch Theorem
• Smale Horseshoe Map