An adaptive hybrid quadrature scheme: Combining Simpson's rule and Gaussian quadrature for enhanced numerical integration. [PDF]
PLoS ONEThis study develops a novel adaptive hybrid quadrature that combines Simpson's 1/3 rule with Gauss-Legendre quadrature to overcome the classical difficulties in performing numerical integration.
Abadi Abraha Asgedom +1 more
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Importance Gaussian Quadrature [PDF]
IEEE Transactions on Signal Processing, 2021 Importance sampling (IS) and numerical integration methods are usually employed for approximating moments of complicated target distributions. In its basic procedure, the IS methodology randomly draws samples from a proposal distribution and weights them accordingly, accounting for the mismatch between the target and proposal.
Víctor Elvira, Luca Martino, Pau Closas
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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.
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Gaussian Quadrature for Kernel Features. [PDF]
Adv Neural Inf Process Syst, 2017 Neural Information Processing Systems (NIPS ...
Dao T, De Sa C, Ré C.
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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
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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
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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
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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
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Legendre wavelet method combined with the Gauss quadrature rule for numerical solution of fractional integro-differential equations [PDF]
Iranian Journal of Numerical Analysis and Optimization, 2022 In this paper, we use a novel technique to solve the nonlinear fractional Volterra-Fredholm integro-differential equations (FVFIDEs). To this end, the Legendre wavelets are used in conjunction with the quadrature rule for converting the problem into a ...
M. Riahi Beni
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A bivariate longitudinal cluster model with application to the {C}ognitive {R}eflection {T}est [PDF]
Tutorials in Quantitative Methods for Psychology, 2022 The Cognitive Reflection Test (CRT) is a test designed to assess subjects' ability to override intuitively appealing but incorrect responses. Psychologists are concerned with whether subjects improve their scores on the test with repeated exposure, in ...
Berkowitz, Matthew +1 more
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