numerical integration (quadrature) - ορισμός. Τι είναι το numerical integration (quadrature)
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Τι (ποιος) είναι numerical integration (quadrature) - ορισμός

FAMILY OF ALGORITHMS FOR FINDING THE DEFINITE INTEGRAL OF A FUNCTION
Numerical Integration; Numerical quadrature; Squaring of curves; Cubature; Integral approximation; Integration point; Numerical integration (quadrature); Quadrature rules; Approximate integration; Numeric integration
  • Antique method to find the [[Geometric mean]]
  • The area of a segment of a parabola}}

Cubature         
·noun The process of determining the solid or cubic contents of a body.
cubature         
['kju:b?t??]
¦ noun the determination of the volume of a solid.
Gaussian quadrature         
  • 2}} – 3''x'' + 3}}), the 2-point Gaussian quadrature rule even returns an exact result.
  • ''n'' {{=}} 5)}}
NUMERICAL INTEGRATION
Gaussian integration; Gaussian numerical integration; Gauss quadrature; Gauss legendre quadrature; Gaussian Quadrature; Gauss–Lobatto quadrature; Gauss-Lobatto quadrature
In numerical analysis, a quadrature rule is an approximation of the definite integral of a function, usually stated as a weighted sum of function values at specified points within the domain of integration. (See numerical integration for more on quadrature rules.

Βικιπαίδεια

Numerical integration

In analysis, numerical integration comprises a broad family of algorithms for calculating the numerical value of a definite integral, and by extension, the term is also sometimes used to describe the numerical solution of differential equations. This article focuses on calculation of definite integrals.

The term numerical quadrature (often abbreviated to quadrature) is more or less a synonym for numerical integration, especially as applied to one-dimensional integrals. Some authors refer to numerical integration over more than one dimension as cubature; others take quadrature to include higher-dimensional integration.

The basic problem in numerical integration is to compute an approximate solution to a definite integral

a b f ( x ) d x {\displaystyle \int _{a}^{b}f(x)\,dx}

to a given degree of accuracy. If f(x) is a smooth function integrated over a small number of dimensions, and the domain of integration is bounded, there are many methods for approximating the integral to the desired precision.