Quadrature Formulas

formulas for approximating definite integrals by means of the values of the integrand at a finite number of points. The most common quadrature formulas have the form

where x₁x₂, …, x_n are the nodes of the quadrature formula, A₁, A₂ . . . ,A_n are its coefficients, and R_n is the remainder term. For example,

where a ≤ ξ ≤ b (trapezoidal rule). Sometimes for mulas for mechanical, or numerical, quadrature are also called quadrature formulas.

REFERENCE

Krylov, V. I. Priblizhennoe vychislenie integralov, 2nd ed. Moscow, 1967.

单词	quadrature formulas
释义	Quadrature Formulas Quadrature Formulas formulas for approximating definite integrals by means of the values of the integrand at a finite number of points. The most common quadrature formulas have the form where x₁x₂, …, x_n are the nodes of the quadrature formula, A₁, A₂ . . . ,A_n are its coefficients, and R_n is the remainder term. For example, where a ≤ ξ ≤ b (trapezoidal rule). Sometimes for mulas for mechanical, or numerical, quadrature are also called quadrature formulas. REFERENCE Krylov, V. I. Priblizhennoe vychislenie integralov, 2nd ed. Moscow, 1967.
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