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...analysis]] '''Chebyshev–Gauss quadrature''' is an extension of [[Gaussian quadrature]] method for approximating the value of integrals of the following kind: ...ttp://mathworld.wolfram.com/Chebyshev-GaussQuadrature.html Chebyshev-Gauss Quadrature] from [[Wolfram MathWorld]] ...

...of [[numerical quadrature]] based on [[Gaussian quadrature]]. Gauss–Jacobi quadrature can be used to approximate integrals of the form ...als]], in which case the technique is sometimes called '''Gauss–Gegenbauer quadrature'''. ...

{{short description|Form of Gaussian quadrature}} [[File:Gauss-Hermite quadrature weights.svg|thumb|Weights versus ''x_i'' for four choices of ''n' ...

...iedrich Gauss]] and [[Edmond Laguerre]]) is an extension of the [[Gaussian quadrature]] method for approximating the value of integrals of the following kind: one then uses Gauss-Laguerre quadrature. Note, that while this approach works ...

{{Short description|Integration method for oscillatory integrals}} ...Filon quadrature''' or '''Filon's method''' is a technique for [[numerical integration]] of [[Oscillation (mathematics)|oscillatory]] integrals. It is named after ...

{{Short description|Numerical integration method}} ...hese two approximations is used to estimate the calculational error of the integration. ...

{{Short description|Software library for numerical integration}} ...ACK''' is a [[FORTRAN 77]] [[library (computing)|library]] for [[numerical integration]] of one-dimensional functions.<ref name="book"/> It was included in the [[ ...

...irst1 = F. | doi = 10.1016/S0377-0427(00)00348-4 | title = Summary of sinc numerical methods | journal = Journal of Computational and Applied Mathematics | volu ==Sinc numerical methods cover== ...

{{short description|Numerical analysis concept}} ...erical analysis]], '''Gauss–Legendre quadrature''' is a form of [[Gaussian quadrature]] for approximating the [[definite integral]] of a [[Function (mathematics) ...

{{Short description|Method of numerical integration}} ...'Boole's rule''', named after [[George Boole]], is a method of [[numerical integration]]. ...

'''Bayesian quadrature'''<ref name="Diaconis1988">{{cite journal | title = Bayesian Numerical Analysis ...

...imes to find Poincaré map of the non-integrable in [[Numerical integration|quadrature]] systems even in [[elementary functions]]. ...

{{Short description|Errors arising in numerical integration}} '''Truncation errors''' in [[numerical integration]] are of two kinds: ...

[[File:X cubed plot.svg|thumb|Cavalieri's quadrature formula computes the area under the [[cubic curve]], together with other hi In [[calculus]], '''Cavalieri's quadrature formula''', named for 17th-century Italian mathematician [[Bonaventura Cava ...

...e strong similarities in concept, but it relies on fixed abscissas whereas quadrature-based methods are more adaptive. Additionally, the [[Navier–Stokes equation ...computational costs being largely independent of particle population. The numerical methods for solving the system of partial differential equations can be int ...

| genre = [[Numerical optimization software]] ...PS-II is the second software of its type (that employs Gaussian quadrature integration). ...

===Numerical simulation=== ...name="Diethelm2006">{{cite web|last1=Diethelm|first1=Kai|title=A Survey of Numerical Methods in Fractional Calculus|url=http://www.lmssc.cnam.fr/sites/default/f ...

...integration|integration]], [[Numerical linear algebra|linear algebra]], [[numerical optimisation|optimization]] and [[Computer simulation|simulation and differ ...hadi2015">{{Cite journal|last=Owhadi|first=Houman|year=2015|title=Bayesian Numerical Homogenization|journal=Multiscale Modeling & Simulation|volume=13|issue=3|p ...

...sophisticated due to the fact, that the fluxmeter has to keep accuracy of integration during the demagnetization process. As a result, experimental verification ...zmann distribution]] function.<ref name="Szewczyk2014" /> For this reason, integration has to be made numerically. In the original publication, anisotropic anhyst ...

...|title=Isogeometric Analysis of the electrophysiology in the human heart: Numerical simulation of the bidomain equations on the atria |journal=Computer Methods *perform an [[integration by parts]] of the diffusive term of the first monodomain-like equation:<ref ...