The influence of random element displacement on DOA estimates obtained with (Khatri-Rao-)root-MUSIC [PDF]
Sensors (Basel), 2014 Although a wide range of direction of arrival (DOA) estimation algorithms has been described for a diverse range of array configurations, no specific stochastic analysis framework has been established to assess the probability density function of the ...
Inghelbrecht, Veronique +3 more
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Fast cubature of volume potentials over rectangular domains [PDF]
, 2013 In the present paper we study high-order cubature formulas for the computation of advection-diffusion potentials over boxes. By using the basis functions introduced in the theory of approximate approximations, the cubature of a potential is reduced to ...
Lanzara, Flavia +2 more
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Computation of volume potentials over bounded domains via approximate approximations [PDF]
, 2012 We obtain cubature formulas of volume potentials over bounded domains combining the basis functions introduced in the theory of approximate approximations with their integration over the tangential-halfspace.
Lanzara, F., Maz'ya, V., Schmidt, G.
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Electric potential and field calculation of charged BEM triangles and rectangles by Gaussian cubature [PDF]
, 2016 It is a widely held view that analytical integration is more accurate than the numerical one. In some special cases, however, numerical integration can be more advantageous than analytical integration.
Glück, Ferenc, Hilk, Daniel
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Tensor product approximations of high dimensional potentials [PDF]
, 2009 The paper is devoted to the efficient computation of high-order cubature formulas for volume potentials obtained within the framework of approximate approximations. We combine this approach with modern methods of structured tensor product approximations.
Lanzara, Flavia +2 more
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Numerical hyperinterpolation over nonstandard planar regions [PDF]
, 2017 We discuss an algorithm (implemented in Matlab) that computes numerically total-degree bivariate orthogonal polynomials (OPs) given an algebraic cubature formula with positive weights, and constructs the orthogonal projection (hyperinterpolation) of a ...
Sommariva, Alvise, Vianello, Marco
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On Weak Tractability of the Clenshaw-Curtis Smolyak Algorithm [PDF]
, 2014 We consider the problem of integration of d-variate analytic functions defined on the unit cube with directional derivatives of all orders bounded by 1. We prove that the Clenshaw Curtis Smolyak algorithm leads to weak tractability of the problem.
Hinrichs, Aicke +2 more
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A note on a family of quadrature formulas and some applications [PDF]
Opuscula Mathematica, 2008 In this paper a construction of a one-parameter family of quadrature formulas is presented. This family contains the classical quadrature formulas: trapezoidal rule, midpoint rule and two-point Gauss rule.
Bogusław Bożek +2 more
doaj
Subperiodic trigonometric subsampling: A numerical approach [PDF]
, 2017 We show that Gauss-Legendre quadrature applied to trigonometric poly- nomials on subintervals of the period can be competitive with subperiodic trigonometric Gaussian quadrature. For example with intervals correspond- ing to few angular degrees, relevant
Sommariva, Alvise, Vianello, Marco
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Weighted Optimal Quadrature Formulas in Sobolev Space and Their Applications
AlgorithmsThe optimization of computational algorithms is one of the main problems of computational mathematics. This optimization is well demonstrated by the example of the theory of quadrature and cubature formulas.
Kholmat Shadimetov, Khojiakbar Usmanov
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