polynomial degree of quadrature

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• Polynomial interpolation — In the mathematical subfield of numerical analysis, polynomial interpolation is the interpolation of a given data set by a polynomial. In other words, given some data points (such as obtained by sampling), the aim is to find a polynomial which… …   Wikipedia

• Clenshaw–Curtis quadrature — and Fejér quadrature are methods for numerical integration, or quadrature , that are based on an expansion of the integrand in terms of Chebyshev polynomials. Equivalently, they employ a change of variables x = cos θ and use a discrete… …   Wikipedia

• Gaussian 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… …   Wikipedia

• Adaptive quadrature — In applied mathematics, adaptive quadrature is a process in which the integral of a function f(x) is approximated using static quadrature rules on adaptively refined subintervals of the integration domain. Generally, adaptive algorithms are just… …   Wikipedia

• Gauss-Jacobi Mechanical Quadrature — Let x 1 < x 2 < ... < x n are the zeros of polynomial p n( x )of degree n . Then there exist real numbers λ1, λ2, ... λn such that int a^b f(x) omega(x) , dx = lambda 1 f(x 1) + lambda 2 f(x 2) + ... + lambda n f(x n)for any function f ( x ) that …   Wikipedia

• Hp-FEM — The symbol hp FEM is an abbreviation for a general version of the Finite Element Method that employs elements of variable size (h) and polynomial degree (p) . The origins of this method date back to the pioneering work of Ivo Babuska et. al who… …   Wikipedia

• List of numerical analysis topics — This is a list of numerical analysis topics, by Wikipedia page. Contents 1 General 2 Error 3 Elementary and special functions 4 Numerical linear algebra …   Wikipedia

• mathematics — /math euh mat iks/, n. 1. (used with a sing. v.) the systematic treatment of magnitude, relationships between figures and forms, and relations between quantities expressed symbolically. 2. (used with a sing. or pl. v.) mathematical procedures,… …   Universalium

• Integral — This article is about the concept of integrals in calculus. For the set of numbers, see integer. For other uses, see Integral (disambiguation). A definite integral of a function can be represented as the signed area of the region bounded by its… …   Wikipedia

• Numerical integration — consists of finding numerical approximations for the value S In numerical analysis, numerical integration constitutes a broad family of algorithms for calculating the numerical value of a definite integral, and by extension, the term is also… …   Wikipedia

• Chebyshev polynomials — Not to be confused with discrete Chebyshev polynomials. In mathematics the Chebyshev polynomials, named after Pafnuty Chebyshev,[1] are a sequence of orthogonal polynomials which are related to de Moivre s formula and which can be defined… …   Wikipedia