Cubature formulas of multivariate polynomials arising from symmetric orbit functions
, 2015 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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Polynomial (chaos) approximation of maximum eigenvalue functions: efficiency and limitations
, 2019 This paper is concerned with polynomial approximations of the spectral abscissa function (the supremum of the real parts of the eigenvalues) of a parameterized eigenvalue problem, which are closely related to polynomial chaos approximations if the ...
Fenzi, Luca, Michiels, Wim
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Numerical cubature from Archimedes' hat-box theorem
, 2004 Archimedes' hat-box theorem states that uniform measure on a sphere projects to uniform measure on an interval. This fact can be used to derive Simpson's rule.
Kuperberg, Greg
core
Generation and application of multivariate polynomial quadrature rules
, 2017 The search for multivariate quadrature rules of minimal size with a specified polynomial accuracy has been the topic of many years of research. Finding such a rule allows accurate integration of moments, which play a central role in many aspects of ...
Jakeman, John D., Narayan, Akil
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Computation of the magnetostatic interaction between linearly magnetized polyhedrons
, 2016 In this paper we present a method to accurately compute the energy of the magnetostatic interaction between linearly (or uniformly, as a special case) magnetized polyhedrons. The method has applications in finite element micromagnetics, or more generally
Chernyshenko, Dmitri, Fangohr, Hans
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Spectral Analysis of High Order Continuous FEM for Hyperbolic PDEs on Triangular Meshes: Influence of Approximation, Stabilization, and Time-Stepping. [PDF]
J Sci Comput, 2023 Michel S +3 more
europepmc +1 more source
Accurate computation of the high dimensional diffraction potential over hyper-rectangles
, 2018 We propose a fast method for high order approximation of potentials of the Helmholtz type operator Delta+kappa^2 over hyper-rectangles in R^n. By using the basis functions introduced in the theory of approximate approximations, the cubature of a ...
Lanzara, Flavia +2 more
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On the Effect of Imperfect Reference Signal Phase Recovery on Performance of PSK System Influenced by TWDP Fading. [PDF]
Entropy (Basel), 2023 Djordjevic GT +4 more
europepmc +1 more source
Recent Advances in Cartesian-Grid DFT in Atoms and Molecules. [PDF]
Front Chem, 2022 Majumdar S, Roy AK.
europepmc +1 more source
NUMERICAL INTEGRATION ON GRAPHS: WHERE TO SAMPLE AND HOW TO WEIGH. [PDF]
Math Comput, 2020 Linderman GC, Steinerberger S.
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