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Τι (ποιος) είναι quadrature approximation - 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

Cubature

·noun The process of determining the solid or cubic contents of a body.

Two-stream approximation

DISCRETE ORDINATE APPROXIMATION IN WHICH RADIATION PROPAGATING ALONG ONLY TWO DISCRETE DIRECTIONS IS CONSIDERED

Two stream approximation (radiative transfer); Two-stream approximation (radiative transfer); Two-Stream Approximation

In models of radiative transfer, the two-stream approximation is a discrete ordinate approximation in which radiation propagating along only two discrete directions is considered. It was first used by Arthur Schuster in 1905.

https://en.wikipedia.org/wiki/Two-stream_approximation

Sigma approximation

METHOD OF ADJUSTING A FOURIER SUMMATION TO GREATLY REDUCE THE GIBBS PHENOMENON, WHICH WOULD OTHERWISE OCCUR AT DISCONTINUITIES.

Sigma-approximation; Lanczos sigma factor; Lanczos σ factor

In mathematics, σ-approximation adjusts a Fourier summation to greatly reduce the Gibbs phenomenon, which would otherwise occur at discontinuities.

https://en.wikipedia.org/wiki/Sigma_approximation

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

\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.

https://en.wikipedia.org/wiki/Numerical integration