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Cross approximation-based quadrature filter

2016 IEEE 55th Conference on Decision and Control (CDC), 2016
The Gauss-Hermite quadrature filter (GHQF) can achieve arbitrary degree of accuracy and high stability, but it suffers from heavy computational burden. Alternative high accurate filters, such as high-degree cubature Kalman filter (CKF) and high-degree sparse-grid quadrature filter (SGQF), can greatly reduce the computational cost but may have stability
Zhong Wang 0002, Yan Li 0096
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Asymptotic approximations from quadrature rules

Physical Review A, 1992
We examine the ability of one- and two-point Gauss-Laguerre quadratures in correctly describing the asymptotic behavior of Fourier transforms. We illustrate the effectiveness of this method with the example of the neon atomic form factor and compare it to the results obtained from the familiar expansion in terms of inverse powers of the independent ...
, Sagar, , Schmider, , Smith
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Gaussian quadratures for approximate of fuzzy multiple integrals

Applied Mathematics and Computation, 2006
The authors use Gaussian methods with positive coefficients to study fuzzy multiple integrals. They ilustrate the introduced algorithms by solving some numerical examples.
Tofigh Allahviranloo, M Otadi
exaly   +2 more sources

A Fast Amplitude Approximation For Quadrature Pairs

Bell System Technical Journal, 1971
This paper gives an algorithm from which an approximation to the amplitude of a quadrature pair can be obtained simply and without requiring more bits than are needed to represent the largest allowable amplitude, A. If A cos θ and A sin θ are a quadrature pair, the amplitude is $A=(A^{2}\cos^{2}\theta + A^{2}\sin^{2}\theta)^{1\over 2}.$ If AX is the ...
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Approximate Value Iteration Based on Numerical Quadrature

IEEE Robotics and Automation Letters, 2018
Learning control policies has become an appealing alternative to the derivation of control laws based on classic control theory. Value iteration approaches have proven an outstanding flexibility, while maintaining high data efficiency when combined with probabilistic models to eliminate model bias.
Julia Vinogradska   +2 more
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Approximation of Functions and Numerical Quadrature

2009
The standard treatment of orthogonal polynomials is Szego (1958), in which several other systems are described and more properties of orthogonal polynomials are discussed. A general reference on multivariate orthogonal polynomials is Dunkl and Yu (2001). A type of orthogonal system that I mentioned, but did not discuss, are wavelets.
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Bayesian quadrature with non-normal approximating functions

Statistics and Computing, 1998
We consider an efficient Bayesian approach to estimating integration-based posterior summaries from a separate Bayesian application. In Bayesian quadrature we model an intractable posterior density function f(·) as a Gaussian process, using an approximating function g(·), and find a posterior distribution for the integral of f(·), conditional on a few ...
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Cubature and Quadrature Formulas of High Order of Approximation

Journal of Mathematical Sciences, 2015
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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Approximate quadratures of the circle. III

Journal of the Franklin Institute, 1879
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On optimal inequalities between three-point quadratures

Aequationes Mathematicae, 2022
Andrzej Komisarski, Szymon Wasowicz
exaly  

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