Results 11 to 20 of about 1,059 (266)
Exactness of Quadrature Formulas [PDF]
SIAM Review, 2022 The standard design principle for quadrature formulas is that they should be exact for integrands of a given class, such as polynomials of a fixed degree. We show how this principle fails to predict the actual behavior in four cases: Newton-Cotes, Clenshaw-Curtis, Gauss-Legendre, and Gauss-Hermite quadrature.
openaire +2 more sources
A randomized trapezoidal quadrature [PDF]
International Journal of Computer Mathematics, 2021 A randomised trapezoidal quadrature rule is proposed for continuous functions which enjoys less regularity than commonly required. Indeed, we consider functions in some fractional Sobolev space. Various error bounds for this randomised rule are established while an error bound for classical trapezoidal quadrature is obtained for comparison.
openaire +2 more sources
Szegö Coordinates, Quadrature Domains, and Double Quadrature Domains [PDF]
Computational Methods and Function Theory, 2010 Comment: 19 ...
Bell, Steven R. +2 more
openaire +3 more sources
Results in Physics, 2020 This paper secures optical dromions, domain walls and conservation laws for Kundu–Mukherjee–Naskar equation. Three integration approaches are applied. These are traveling wave hypothesis, method of undetermined coefficients and Lie symmetry.
Anjan Biswas +6 more
doaj +1 more source
Multilevel Bayesian Quadrature
, 2022 Multilevel Monte Carlo is a key tool for approximating integrals involving expensive scientific models. The idea is to use approximations of the integrand to construct an estimator with improved accuracy over classical Monte Carlo. We propose to further enhance multilevel Monte Carlo through Bayesian surrogate models of the integrand, focusing on ...
Li, Kaiyu +4 more
openaire +4 more sources
Numerical Integral Transform Methods for Random Hyperbolic Models with a Finite Degree of Randomness
Mathematics, 2019 This paper deals with the construction of numerical solutions of random hyperbolic models with a finite degree of randomness that make manageable the computation of its expectation and variance.
M. Consuelo Casabán +2 more
doaj +1 more source
On Variants for Solvability of a Three-Dimensional Volterra Equation in Quadratures [PDF]
Учёные записки Казанского университета: Серия Физико-математические науки, 2016 A linear integral equation of the general type with three independent variables, for which the special case of this equation is known, has been studied along with indication of certain variants of solving it in quadratures. In this paper, new variants of
I.M. Shakirova
doaj
Continuous Variable Entanglement in Non-Zero Orbital Angular Momentum States
Proceedings, 2019 Orbital angular momentum is a discrete degree of freedom that can access an infinite dimensional Hilbert space, thus enhancing the information capacity of a single optical beam. Continuous variables field quadratures allow achieving some quantum tasks in
Adriana Pecoraro +3 more
doaj +1 more source
Estimating Non-Gaussianity of a Quantum State by Measuring Orthogonal Quadratures
Entropy, 2022 We derive the lower bounds for a non-Gaussianity measure based on quantum relative entropy (QRE). Our approach draws on the observation that the QRE-based non-Gaussianity measure of a single-mode quantum state is lower bounded by a function of the ...
Jiyong Park
doaj +1 more source
A certain class of quadratures with even Tchebychev weights
Analele Stiintifice ale Universitatii Ovidius Constanta: Seria Matematica, 2012 We are considering the quadrature formulas of “practical type” (with five knots) for approximate computation of integral [xxx] where w(·) denotes (even) Tchebychev weight function.
Udovičić Zlatko, Udovičić Mirna
doaj +1 more source