Results 71 to 80 of about 3,955 (267)
Three Point Quadrature Rules Involving, at Most, a First Derivative
, 1999 A unified treatment of three point quadrature rules is presented in which the classical rules of mid-point, trapezoidal and Simpson type are recaptured as particular cases.
Cerone, Pietro, Dragomir, Sever S
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International Journal for Numerical Methods in Fluids, EarlyView.This article provides important geometric formulas for node‐centered, edge‐based schemes in any number of dimensions. These formulas are noteworthy, as they do not require the explicit formation of dual regions. We prove several key geometric results, with a particular focus on the four‐dimensional case, due to potential space‐time applications ...
Nicholas Tufillaro +2 more
wiley +1 more source
Abstract and Applied Analysis, 2014 We introduce some generalized quadrature rules to approximate two-dimensional, Henstock integral of fuzzy-number-valued functions. We also give error bounds for mappings of bounded variation in terms of uniform modulus of continuity. Moreover, we propose
S. M. Sadatrasoul, R. Ezzati
doaj +1 more source
Gauss–Laguerre interval quadrature rule
Journal of Computational and Applied Mathematics, 2005 A Gaussian interval quadrature formula with respect to the positive weight \(w\) is a quadrature formula of the form \[ \int _a^bfw\,dx\approx \sum _{k=1}^n \frac {\mu _k}{2h_k}\int _{x_k-h_k}^{x_k+h_k}fw\,dx, \] which integrates exactly all polynomials of degree less than \(2n\).
Milovanović, Gradimir V. +1 more
openaire +2 more sources
International Journal for Numerical Methods in Fluids, EarlyView.Employing the moving least‐squares aided finite element method (MLS‐FEM) allows detailed thermal analysis in complex porous structures, such as polymeric foams, where the conductive heat transfer mechanism governs in the solid matrix and the convective mechanism dominates within the gas‐filled voids.
Mehdi Mostafaiyan +2 more
wiley +1 more source
Weighted quadrature formulas for semi-infinite range integrals
Journal of Numerical Analysis and Approximation Theory, 2015 Weighted quadrature formulas on the half line \((a,+\infty)\), \(a>0\), for non-exponentially decreasing integrands are developed. Such \(n\)-point quadrature rules are exact for all functions of the form \(x\mapsto x^{-2}P(x^{-1})\), where \(P\) is an ...
Gradimir V. Milovanović
doaj +2 more sources
Lp –Error Bounds of Two and Three–Point Quadrature Rules For Riemann–Stieltjes Integrals
Moroccan Journal of Pure and Applied Analysis, 2018 In this work, Lp-error estimates of general two and three point quadrature rules for Riemann-Stieltjes integrals are given. The presented proofs depend on new triangle type inequalities of Riemann-Stieltjes integrals.
Alomari Mohammad W., Guessab Allal
doaj +1 more source
Set of anti-Gaussian quadrature rules for the optimal set of quadrature rules in Borges' sense
, 2022 Anti-Gaussian quadrature rules, introduced by Laurie in [1], have the property that their error is equal in magnitude but of the opposite sign to the corresponding Gaussian quadrature rules.
Petrovic, Nevena
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Longitudinal 1H and 129Xe Lung MRI in Patients With Post‐COVID Residual Lung Abnormalities
Journal of Magnetic Resonance Imaging, EarlyView.ABSTRACT Background It is unclear how lung function may recover in patients with residual lung abnormalities (RLAs) following COVID‐19 pneumonia. Purpose To evaluate lung function trends over time in patients with RLAs following hospitalization due to COVID‐19. Study Type Prospective, multicenter longitudinal cohort study.
Laura C. Saunders +41 more
wiley +1 more source
Lobatto Type Quadrature Rules for Functions with Bounded Derivative
, 1999 Inequalities are obtained for quadrature rules in terms of upper and lower bounds of the first derivative of the integrand. Bounds of Ostrowski type quadrature rules are obtained and the classical Iyengar inequality for the trapezoidal rule is recaptured
Cerone, Pietro, Dragomir, Sever S
core