Results 11 to 20 of about 647,764 (285)
Gaussian quadrature rules for composite highly oscillatory integrals [PDF]
Mathematics of Computation, 2021 Highly oscillatory integrals of composite type arise in electronic engineering and their calculations is a challenging problem. In this paper, we propose two Gaussian quadrature rules for computing such integrals.
Menghan Wu, Haiyong Wang
semanticscholar +1 more source
Gaussian quadrature for splines via homotopy continuation: rules for $C^2$ cubic splines [PDF]
Journal of Computational and Applied Mathematics, 2015 Michael Bartoň, Victor M. Calo
openalex +3 more sources
Computing Gaussian quadrature rules with high relative accuracy
Numerical Algorithms, 2022 The computation of n -point Gaussian quadrature rules for symmetric weight functions is considered in this paper. It is shown that the nodes and the weights of the Gaussian quadrature rule can be retrieved from the singular value decomposition of a ...
T. Laudadio, N. Mastronardi, P. Dooren
semanticscholar +1 more source
The use of Gaussian quadrature for estimation in frailty proportional hazards models. [PDF]
Stat Med, 2008 Liu L, Huang X.
europepmc +3 more sources
Efficient and accurate numerical-projection of electromagnetic multipoles for scattering objects
Frontiers of Optoelectronics, 2023 In this paper, we develop an efficient and accurate procedure of electromagnetic multipole decomposition by using the Lebedev and Gaussian quadrature methods to perform the numerical integration.
Wenfei Guo +4 more
doaj +1 more source
A numerical integration-based Kalman filter for moderately nonlinear systems
Tellus: Series A, Dynamic Meteorology and Oceanography, 2020 This paper introduces a computationally efficient data assimilation scheme based on Gaussian quadrature filtering that potentially outperforms current methods in data assimilation for moderately nonlinear systems.
Sarah A. King +2 more
doaj +1 more source
Trigonometric and Gaussian Quadrature [PDF]
Mathematics of Computation, 1970 Some relationships are established between trigonometric quadrature and various classical quadrature formulas. In particular Gauss-Legendre quadrature is shown to be a limiting case of trigonometric quadrature.
Knight, C. J., Newbery, A. C. R.
openaire +2 more sources
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
On generalized Gaussian quadrature [PDF]
Mathematics of Computation, 1975 A general interpolation formula is derived such that when it is multiplied by a weight function and integrated, the result becomes a generalized Gaussian quadrature scheme which allows for an arbitrary number of preassigned nodes. The errors in the interpolation and quadrature formulas are studied.
Luke, Yudell L. +2 more
openaire +2 more sources
Szegő Quadrature Kalman Filter for Oscillatory Systems
IEEE Access, 2020 Filtering problems with oscillatory system dynamics commonly appear in real-life. However, the existing Gaussian filters, like the unscented Kalman filter (UKF), cubature Kalman filter CKF, Gauss-Hermite filter (GHF) and cubature quadrature Kalman filter
Abhinoy Kumar Singh
doaj +1 more source