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Homogeneous numerical cubature formulas of interpolatory type

Journal of Numerical Analysis and Approximation Theory, 2002
In this paper we construct homogeneous numerical cubature formulas based on some numerical multivariate interpolation schemes.
Gheorghe Coman, Maria Solomon
doaj   +4 more sources

Numerical Cubature Using Error-Correcting Codes [PDF]

SIAM Journal on Numerical Analysis, 2006
We present a construction for improving numerical cubature formulas with equal weights and a convolution structure, in particular equal-weight product formulas, using linear error-correcting codes. The construction is most effective in low degree with extended BCH codes.
Greg Kuperberg
exaly   +4 more sources

Modified Gauss-Legendre, Lobatto and Radau cubature formulas for the numerical evaluation of 2-D singular integrals [PDF]

International Journal of Mathematics and Mathematical Sciences, 1983
A numerical technique, first reported in 1979 in refs.[1] and [2], for the numerical evaluation of two-dimensional Cauchy-type principal-value integrals, is extended in this paper to include several cubature formlas of the Radau and Lobatto types.
P. S. Theocaris
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Schemes for cubature over the unit disk found via numerical optimization

Journal of Computational and Applied Mathematics, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
NicK Takaki, Jannick P Rolland
exaly   +3 more sources

RBFCUB: A numerical package for near-optimal meshless cubature on general polygons

Applied Mathematics Letters, 2022
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
Roberto Cavoretto, Alessandra De Rossi, Alvise Sommariva   +2 more
exaly   +2 more sources

Numerical Cubature from Archimedes' Hat-box Theorem [PDF]

SIAM Journal on Numerical Analysis, 2006
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. We present various constructions of, and lower bounds for, numerical cubature formulas using moment maps as a generalization of Archimedes' theorem.
Greg Kuperberg
exaly   +4 more sources

Numerical cubature on scattered data by adaptive interpolation

Journal of Computational and Applied Mathematics
Construimos métodos de cubatura sobre datos dispersos mediante remuestreo sobre el soporte de fórmulas de cubatura algebraicas conocidas, mediante diferentes tipos de interpolación adaptativa (polinomio, RBF, pum). Este enfoque ofrece una alternativa prometedora a otros métodos recientes, como la cubicatura directa sin malla por RBF o las fórmulas de ...
Roberto Cavoretto, Alessandra De Rossi, Francesco Dell’Accio   +2 more
exaly   +3 more sources

Orientation-averaged light scattering by nanoparticle clusters: Far-field and near-field benchmarks of numerical cubature methods

Journal of Quantitative Spectroscopy and Radiative Transfer, 2022
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Baptiste Auguie
exaly   +3 more sources

Robust Cubature Kalman Filter for Moving-Target Tracking with Missing Measurements [PDF]

Sensors
Handling the challenge of missing measurements in nonlinear systems is a difficult problem in various scientific and engineering fields. Missing measurements, which can arise from technical faults during observation, diffusion channel shrinking, or the ...
Samer Sahl, Enbin Song, Dunbiao Niu
doaj   +2 more sources

The Square-Root Unscented and the Square-Root Cubature Kalman Filters on Manifolds [PDF]

Sensors
Estimating the state of a system by fusing sensor data is a major prerequisite in many applications. When the state is time-variant, derivatives of the Kalman filter are a popular choice for solving that task.
Joachim Clemens, Constantin Wellhausen
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