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On realizations of an approximation random quadrature formula
USSR Computational Mathematics and Mathematical Physics, 1983The coefficients \(c=\int f(x)\Phi(x)\mu(dx)\) of the least square approximation of f according to a system \(\Phi =(\phi_ 1,...,\phi_ m)\) of \(\mu\)-orthonormalized functions \(\{\phi_ k\}^ m_ 1\) satisfy a linear system of equations. The authors propose to approximate the integrals c by the solution \(\hat c\) of an approximation of this system ...
Zakharov, V. V., Koryakin, A. I.
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Approximate Value Iteration Based on Numerical Quadrature
IEEE Robotics and Automation Letters, 2018Learning 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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Accelerated convergence of sequences of quadrature approximations
Journal of Computational Physics, 1972zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Chisholm, J. S. R. +2 more
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From numerical quadrature to Padé approximation
Applied Numerical Mathematics, 2010zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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TPQA: Three point quadrature approximation MPPT algorithm
2013 IEEE 20th International Conference on Electronics, Circuits, and Systems (ICECS), 2013Growing concerns about environmental issues and the world energy crisis have attracted a great deal of interests for the development and application of the photovoltaic (PV) power system that uses the nonpolluting and the most abundant solar energy. This paper introduces a novel maximum power point tracking (MPPT) algorithm that is based on the fact ...
Ahmad M. Marzouk +3 more
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Quadrature Formula, FEM-Approximation (in Russian)
Zeitschrift für Analysis und ihre Anwendungen, 1991The author has constructed in one of his preceeding papers a FEM-approximation formula for functions of the class C^{(s)} [0, 1] ( s an arbitrary natural number ...
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Bayesian quadrature with non-normal approximating functions
Statistics and Computing, 1998We 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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Gaussian Quadrature Applied to Eigenvalue Approximations
1982We consider the eigenvalue problem $$Kx = \lambda x,\left( {Kx} \right)\left( s \right) = \int\limits_I {k\left( {s,t} \right)x\left( t \right)dt,I = \left[ {0,1} \right]} $$ (1.1) , with K : X → X, X = L2 (I), a compact integral operator. In order to obtain approximations xh resp. yh for elements of \(N\left( {K,\lambda } \right): = \left\{ {
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Approximation of Functions and Numerical Quadrature
2009The 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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