Cubature formulae for the Gaussian weight. Some old and new rules.

ETNA - Electronic Transactions on Numerical Analysis ◽

10.1553/etna_vol53s426 ◽

2020 ◽

Vol 53 ◽

pp. 426-438

Author(s):

Ramón Orive ◽

Juan C. Santos-León ◽

Miodrag M. Spalević

Keyword(s):

Gaussian Weight ◽

Cubature Formulae

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Cubature formulae and orthogonal polynomials

USSR Computational Mathematics and Mathematical Physics ◽

10.1016/0041-5553(70)90159-x ◽

1970 ◽

Vol 10 (2) ◽

pp. 219-223 ◽

Author(s):

I.P. Mysovskikh

Keyword(s):

Orthogonal Polynomials ◽

Cubature Formulae

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Cubature formulae for Besov classes

Izvestiya Mathematics ◽

10.1070/im1997v061n02abeh000114 ◽

1997 ◽

Vol 61 (2) ◽

pp. 259-283 ◽

Author(s):

V V Dubinin

Keyword(s):

Cubature Formulae

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A domain decomposition method for generating orthogonal polynomials for a Gaussian weight on a finite interval

Journal of Computational Physics ◽

10.1016/0021-9991(92)90293-8 ◽

1992 ◽

Vol 99 (1) ◽

pp. 180 ◽

Author(s):

Raymond C.Y. Chin

Keyword(s):

Domain Decomposition ◽

Orthogonal Polynomials ◽

Decomposition Method ◽

Finite Interval ◽

Domain Decomposition Method ◽

Gaussian Weight

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On Two-Dimensional Definite Orthogonal Systems and a Lower Bound for the Number of Nodes of Associated Cubature Formulae

SIAM Journal on Mathematical Analysis ◽

10.1137/s0036141092229860 ◽

1995 ◽

Vol 26 (2) ◽

pp. 468-487 ◽

Author(s):

H. Berens ◽

H. J. Schmid ◽

Y. Xu

Keyword(s):

Lower Bound ◽

Two Dimensional ◽

Orthogonal Systems ◽

Cubature Formulae

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Painlevé transcendents and the Hankel determinants generated by a discontinuous Gaussian weight

Mathematical Methods in the Applied Sciences ◽

10.1002/mma.5347 ◽

2018 ◽

Vol 42 (1) ◽

pp. 301-321 ◽

Author(s):

Chao Min ◽

Yang Chen

Keyword(s):

Hankel Determinants ◽

Painlevé Transcendents ◽

Painleve Transcendents ◽

Gaussian Weight

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Lower Bounds for the Number of Nodes in Cubature Formulae

Numerische Integration - International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série Internationale D’Analyse Numérique ◽

10.1007/978-3-0348-6288-2_17 ◽

1979 ◽

pp. 221-230 ◽

Author(s):

H. M. Möller

Keyword(s):

Lower Bounds ◽

Cubature Formulae

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A relation between cubature formulae of trigonometric degree and lattice rules

Numerical Integration IV ◽

10.1007/978-3-0348-6338-4_2 ◽

1993 ◽

pp. 13-24 ◽

Author(s):

Marc Beckers ◽

Ronald Cools

Keyword(s):

Lattice Rules ◽

Cubature Formulae

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Cubature Formulae Associated with the Dunkl Laplacian

Results in Mathematics ◽

10.1007/s00025-010-0035-3 ◽

2010 ◽

Vol 58 (1-2) ◽

pp. 119-144

Author(s):

Néjib Ben Salem ◽

Kamel Touahri

Keyword(s):

Dunkl Laplacian ◽

Cubature Formulae

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Translations in the Exponential Orlicz Space with Gaussian Weight

Lecture Notes in Computer Science - Geometric Science of Information ◽

10.1007/978-3-319-68445-1_66 ◽

2017 ◽

pp. 569-576

Author(s):

Giovanni Pistone

Keyword(s):

Orlicz Space ◽

Gaussian Weight

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Performance of cubature formulae in probabilistic model analysis and optimization

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2014.11.053 ◽

2015 ◽

Vol 280 ◽

pp. 110-124 ◽

Author(s):

Fernando P. Bernardo

Keyword(s):

Probabilistic Model ◽

Model Analysis ◽

Cubature Formulae

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