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On universal optimal quadrature formulae [PDF]
Applications of Mathematics, 1968 openaire +1 more source
Quadrature formulas obtaining using computer program Maple
, 2008 Šajā darbā apskatīta kvadratūru formulu aprēķināšana ar datorprogrammu MAPLE. Darbā ir aprakstīti un izrēķināti algoritmi, kvadratūru formulas koeficentu un mezglu punktu noteikšanai.In this work is shown quadrature formulas obtaining using computer ...
Čerkase, Anna
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A note on a family of quadrature formulas and some applications [PDF]
, 2008 In this paper a construction of a one-parameter family of quadrature formulas is presented. This family contains the classical quadrature formulas: trapezoidal rule, midpoint rule and two-point Gauss rule.
Solak, W. +5 more
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Quadrature formulas and taylor series of secant and tangent [PDF]
, 2017 Second-order quadrature formulas and their fourth-order expansions are derived from the Taylor series of the secant and tangent functions. The errors of the approximations are compared to the error of the midpoint approximation.
Venelin Todorov +2 more
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Boundary quadrature formulas and their applications
, 2000 This chapter surveys the analytical approach for constructing multivariate numerical integration formulas that use only boundary points as evaluation points.
He, Tian-Xiao
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Consecutive optimization of the weighted quadrature formulas with derivative
FilomatThis article addresses the derivation and analysis of a weighted optimal quadrature formula in the Hilbert space W(2,1)2 (0,1), where functions ? with prescribed properties reside. The quadrature formula is expressed as a linear combination of function values and its first-order derivative at equidistant nodes in the interval [0, 1].
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AN OPTIMAL QUADRATURE FORMULA OF CLOSED TYPE
AN OPTIMAL QUADRATURE FORMULA OF CLOSED TYPEapplication/pdf An optimal 3-point quadrature formula of closed type is derived. The optimality is considered with respect to a given way of estimation of its error.
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New symmetric interpolatory quadrature formulas
, 1994 We introduce two families of symmetric, interpolatory integration formulas on the interval [-1,1]. These formulas, related to the class of recursive monotone stable (RMS) formulas, allow the application of higher order or compound rules with an efficient
Lotti G, Favati P, Romani F
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Optimal Quadrature Formulas of Euler–Maclaurin Type
Applied Mathematics and Computation, 2016zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Kh M Shadimetov
exaly +4 more sources