Newton–Cotes formulas

Known as: Newton cotes rules, Newton-Cotes formula, Newton-Cotes formulae 
In numerical analysis, the Newton–Cotes formulae, also called the Newton–Cotes quadrature rules or simply Newton–Cotes rules, are a group of formulae… (More)
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Topic mentions per year

Topic mentions per year

1949-2018
05010019492017

Related topics

Related topics

15 relations
Adaptive quadratureBoole's ruleClenshaw–Curtis quadratureGaussian quadrature
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Related mentions per year

Related mentions per year

1936-2019
19401960198020002020
Newton–Cotes formulas
Numerical analysis
Interpolation
Numerical integration
Simpson's rule
Spline interpolation

Papers overview

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2015
2015
Error Analysis of the High Order Newton Cotes Formulas
  • Omar A. AL-Sammarraie, Mohammed Ali Bashir
  • 2015
The importance of numerical integration may be appreciated by noting how frequently the formulation of problems in applied… (More)
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2012
2012
A Simple Derivation of Newton-Cotes Formulas with Realistic Errors
In order to approximate the integral I(f) = ∫ b a f(x)dx, where f is a sufficiently smooth function, models for quadrature rules… (More)
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2011
2011
Numerical Solution of Second Kind Linear Fredholm Integral Equations Using QSGS Iterative Method with High-Order Newton-Cotes Quadrature Schemes
The main purpose of this paper is to examine the effectiveness of the Quarter-Sweep Gauss-Seidel (QSGS) method in solving the… (More)
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2010
2010
Error of the Newton-Cotes and Gauss-Legendre Quadrature Formulas By
Abstract. It was shown by P. J. Davis that the Newton-Cotes quadrature formula is convergent if the integrand is an analytic… (More)
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2009
2009
Closed Newton-Cotes trigonometrically-fitted formulae of high order for long-time integration of orbital problems
The connection between closed Newton–Cotes, trigonometrically-fitted differential methods and symplectic integrators is studied… (More)
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2008
2008
The superconvergence of Newton-Cotes rules for the Hadamard finite-part integral on an interval
We study the general (composite) Newton–Cotes rules for the computation of Hadamard finite-part integral with the second-order… (More)
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Highly Cited
2003
Highly Cited
2003
Preference formulas in relational queries
The handling of user preferences is becoming an increasingly important issue in present-day information systems. Among others… (More)
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2003
2003
Newton-Cotes integration for approximating Stieltjes (generalized Euler) constants
In the Laurent expansion ζ(s, a) = 1 s− 1 + ∞ ∑ k=0 (−1)γk(a) k! (s− 1) , 0 < a ≤ 1, of the Riemann-Hurwitz zeta function, the… (More)
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Highly Cited
1999
Highly Cited
1999
Approximate Symbolic Model Checking of Continuous-Time Markov Chains
This paper presents a symbolic model checking algorithm for continuous-time Markov chains for an extension of the continuous… (More)
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Highly Cited
1980
Highly Cited
1980
An Empirical Model for the Complex Dielectric Permittivity of Soils as a Function of Water Content
The recent measurements on the dielectric properties of soils have shown that the variation of dielectric constant with moisture… (More)
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