Results 51 to 60 of about 66,815 (179)
MathematicsGaussian quadrature rules are commonly used to approximate integrals with respect to a non-negative measure dσ^. It is important to be able to estimate the quadrature error in the Gaussian rule used.
Dušan Lj. Djukić +5 more
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Variational Integrators in Holonomic Mechanics
Mathematics, 2020 Variational integrators for dynamic systems with holonomic constraints are proposed based on Hamilton’s principle. The variational principle is discretized by approximating the generalized coordinates and Lagrange multipliers by Lagrange polynomials, by ...
Shumin Man, Qiang Gao, Wanxie Zhong
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On the Remainder in Quadrature Rules [PDF]
Mathematics of Computation, 1971 An expression is obtained for the remainder in quadrature rules applied to functions whose Hubert transforms exist. The estimation of the remainder is illustrated by means of a particular example.
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Journal of Complexity, 2003 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Double inequalities for quadrature formula of Gauss type with two nodes
Journal of Numerical Analysis and Approximation Theory, 2008 In this paper upper and lower error bounds for Gauss's quadrature rule with two nodes are given.
Marius Heljiu
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International Journal of Distributed Sensor Networks, 2019 To handle nonlinear filtering problems with networked sensors in a distributed manner, a novel distributed hybrid consensus–based square-root cubature quadrature information filter is proposed.
Jun Liu +5 more
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MathematicsIn the current study, we compute some upper bounds for the remainder term of Boole’s quadrature rule involving convex mappings. First, we build a new identity for first-order differentiable mapping, an auxiliary result to establish our required estimates.
Muhammad Zakria Javed +3 more
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On the computation of Gaussian quadrature rules for Chebyshev sets of linearly independent functions [PDF]
, 2017 We consider the computation of quadrature rules that are exact for a Chebyshev set of linearly independent functions on an interval $[a,b]$. A general theory of Chebyshev sets guarantees the existence of rules with a Gaussian property, in the sense that $
Huybrechs, Daan
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Onp-generator fully symmetric quadrature rules
Numerische Mathematik, 1978 We consider fully symmetric quadrature rules for fully symmetricn-dimensional integration regions. When the region is a product region it is well known that product Gaussian rules exist. These obtain an approximation of polynomial degree 4p+1 based on (2p+1) n function values arranged on a rectangular grid.
LYNESS, J.N., KEAST, P.
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Journal of Applied Mathematics, 2013 This study examined the characteristics of a variable three-point Gauss quadrature using a variable set of weighting factors and corresponding optimal sampling points. The major findings were as follows.
Young-Doo Kwon +3 more
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