Chebyshev-Gauss Quadrature

Also called Chebyshev Quadrature. A Gaussian Quadrature over the interval with Weighting Function. The Abscissas for quadrature order are given by the roots of theChebyshev Polynomial of the First Kind , which occursymmetrically about 0. The Weights are

(1)

(2)

(3)

(4)

(5)

(6)

(7)

			(8)
			(9)

(10)

(11)

(12)

2	± 0.707107	1.5708
3	0	1.0472
	± 0.866025	1.0472
4	± 0.382683	0.785398
	± 0.92388	0.785398
5	0	0.628319
	± 0.587785	0.628319
	± 0.951057	0.628319

Hildebrand, F. B. Introduction to Numerical Analysis. New York: McGraw-Hill, pp. 330-331, 1956.

• Ideal
• Ideal Number
• Ideal (Partial Order)
• Ideal Point
• Idele
• Idemfactor
• Idempotent
• Identity
• Identity Element
• Identity Function
• Identity Map
• Identity Matrix
• Identity Operator
• Idoneal Number
• Iff
• Ill-Conditioned
• Illumination Problem
• Illusion
• Image
• Imaginary Identity
• Imaginary Number
• Imaginary Part
• Imaginary Point
• Imaginary Quadratic Field
• Immanant