Subperiodic trigonometric subsampling: A numerical approach [PDF]
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
core +1 more source
Monte Carlo Methods and the Koksma-Hlawka Inequality
The solution of a wide class of applied problems can be represented as an integral over the trajectories of a random process. The process is usually modeled with the Monte Carlo method and the integral is estimated as the average value of a certain ...
Sergey Ermakov, Svetlana Leora
doaj +1 more source
Cubature formulas of multivariate polynomials arising from symmetric orbit functions
The paper develops applications of symmetric orbit functions, known from irreducible representations of simple Lie groups, in numerical analysis. It is shown that these functions have remarkable properties which yield to cubature formulas, approximating ...
Hrivnák, Jiří +2 more
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Error estimates for certain cubature formulae [PDF]
We estimate the errors of selected cubature formulae constructed by the product of Gauss quadrature rules. The cases of multiple and (hyper-)surface integrals over n-dimensional cube, simplex, sphere and ball are considered. The error estimates are obtained as the absolute value of the difference between cubature formula constructed by the ...
Davorka Jandrlic +2 more
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Omnibus goodness‐of‐fit tests for univariate continuous distributions based on trigonometric moments
ABSTRACT We propose a new omnibus goodness‐of‐fit test based on trigonometric moments of probability‐integral‐transformed data. The test builds on the framework of the LK test introduced by Langholz and Kronmal [J. Amer. Statist. Assoc. 86 (1991), 1077–1084], but fully exploits the covariance structure of the associated trigonometric statistics.
Alain Desgagné, Frédéric Ouimet
wiley +1 more source
The volume integral equation method in magnetostatic problem
This article addresses the issues of volume integral equation method application to magnetic system calculations. The main advantage of this approach is that in this case finding the solution of equations is reduced to the area filled with ferromagnetic.
Pavel G Akishin, Andrey A Sapozhnikov
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Cubature formulas, geometrical designs, reproducing kernels, and Markov operators
Cubature formulas and geometrical designs are described in terms of reproducing kernels for Hilbert spaces of functions on the one hand, and Markov operators associated to orthogonal group representations on the other hand.
De La Harpe, Pierre, Pache, Claude
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An algebraic cubature formula on curvilinear polygons [PDF]
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
SANTIN, GABRIELE +2 more
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Research on Collaborative Estimation of SOC and SOH for Lithium‐Ion Batteries Based on BS‐SRCKF‐DEKF
This paper presents a novel method for jointly estimating the state of charge (SOC) and state of health (SOH) in lithium‐ion battery systems. A second‐order hysteresis RC model and the BS‐SRCKF‐DEKF algorithm are used to improve estimation accuracy. Simulation and experimental results verify the method′s robustness and superior performance.
Meijin Lin, Haokun Lin, Jiehua Tan
wiley +1 more source
Methods Based on Polynomial Chaos for Quadratic Delay Differential Equations With Random Parameters
ABSTRACT We consider systems of delay differential equations (DDEs), including a single delay and a quadratic right‐hand side. In a system, parameters are replaced by random variables to perform an uncertainty quantification. Thus the solution of the DDEs becomes a random process, which can be represented by a series of the generalised polynomial chaos.
Roland Pulch
wiley +1 more source

