A Novel Sampling Method based on Orthogonal Polynomial Expansions and Applications

SSRN Electronic Journal ◽

10.2139/ssrn.3862760 ◽

2021 ◽

Author(s):

Zhenyu Cui ◽

Justin Kirkby ◽

Duy Nguyen ◽

Stephen Michael Taylor

Keyword(s):

Orthogonal Polynomial ◽

Sampling Method ◽

Polynomial Expansions

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Upper bounds for a general linear functional with application to orthogonal polynomial expansions

Journal of Classical Analysis ◽

10.7153/jca-2019-15-11 ◽

2019 ◽

pp. 119-122

Author(s):

A. McD. Mercer ◽

Peter R. Mercer

Keyword(s):

Orthogonal Polynomial ◽

Linear Functional ◽

Upper Bounds ◽

General Linear ◽

Polynomial Expansions

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Operator calculus approach to orthogonal polynomial expansions

Journal of Computational and Applied Mathematics ◽

10.1016/0377-0427(95)00161-1 ◽

1996 ◽

Vol 66 (1-2) ◽

pp. 185-199 ◽

Cited By ~ 4

Author(s):

P. Feinsilver ◽

R. Schott

Keyword(s):

Orthogonal Polynomial ◽

Operator Calculus ◽

Polynomial Expansions

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AN ESTIMATE FOR THE RATE OF CONVERGENCE OF A GENERAL CLASS OF ORTHOGONAL POLYNOMIAL EXPANSIONS OF FUNCTIONS OF BOUNDED VARIATION††Invited talk.

Mathematical Analysis and its Applications ◽

10.1016/b978-0-08-031636-9.50007-3 ◽

1988 ◽

pp. 1-16 ◽

Cited By ~ 1

Author(s):

R. BOJANIC

Keyword(s):

Orthogonal Polynomial ◽

Rate Of Convergence ◽

Bounded Variation ◽

General Class ◽

Functions Of Bounded Variation ◽

Polynomial Expansions

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Application of Orthogonal Polynomial Expansions to Propane.

Industrial & Engineering Chemistry ◽

10.1021/ie50572a043 ◽

1957 ◽

Vol 49 (8) ◽

pp. 1321-1328

Keyword(s):

Orthogonal Polynomial ◽

Polynomial Expansions

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Almost everywhere summability of orthogonal polynomial expansions on the unit circle

Journal of Approximation Theory ◽

10.1016/0021-9045(92)90119-9 ◽

1992 ◽

Vol 71 (3) ◽

pp. 252-262

Author(s):

Attila Máté

Keyword(s):

Orthogonal Polynomial ◽

Unit Circle ◽

Almost Everywhere ◽

Almost Everywhere Summability ◽

Polynomial Expansions

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ORTHOGONAL POLYNOMIAL EXPANSIONS FOR SOLVING RANDOM EIGENVALUE PROBLEMS

International Journal for Uncertainty Quantification ◽

10.1615/intjuncertaintyquantification.v1.i2.40 ◽

2011 ◽

Vol 1 (2) ◽

pp. 163-187 ◽

Cited By ~ 13

Author(s):

Sharif Rahman ◽

Vaibhav Yadav

Keyword(s):

Orthogonal Polynomial ◽

Eigenvalue Problems ◽

Random Eigenvalue ◽

Polynomial Expansions

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Time domain model reduction of time-delay systems via orthogonal polynomial expansions

Applied Mathematics and Computation ◽

10.1016/j.amc.2019.124816 ◽

2020 ◽

Vol 369 ◽

pp. 124816

Author(s):

Xiaolong Wang ◽

Yaolin Jiang

Keyword(s):

Time Delay ◽

Orthogonal Polynomial ◽

Model Reduction ◽

Time Domain ◽

Domain Model ◽

Delay Systems ◽

Time Delay Systems ◽

Polynomial Expansions

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Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities

Numerische Mathematik ◽

10.1007/s00211-020-01113-3 ◽

2020 ◽

Vol 145 (1) ◽

pp. 117-148

Author(s):

Shuhuang Xiang ◽

Guidong Liu

Keyword(s):

Orthogonal Polynomial ◽

Decay Rates ◽

Optimal Decay Rates ◽

Optimal Decay ◽

Polynomial Expansions

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Orthogonal polynomial expansions for the matrix exponential

Linear Algebra and its Applications ◽

10.1016/j.laa.2010.09.021 ◽

2011 ◽

Vol 435 (3) ◽

pp. 537-559 ◽

Cited By ~ 5

Author(s):

Gerald Moore

Keyword(s):

Orthogonal Polynomial ◽

Matrix Exponential ◽

The Matrix ◽

Polynomial Expansions

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Solution of the mean spherical approximation for polydisperse multi-Yukawa hard-sphere fluid mixture using orthogonal polynomial expansions

The Journal of Chemical Physics ◽

10.1063/1.2176677 ◽

2006 ◽

Vol 124 (11) ◽

pp. 114509 ◽

Cited By ~ 2

Author(s):

Yurij V. Kalyuzhnyi ◽

Peter T. Cummings

Keyword(s):

Orthogonal Polynomial ◽

Hard Sphere ◽

Spherical Approximation ◽

Mean Spherical Approximation ◽

Fluid Mixture ◽

Hard Sphere Fluid ◽

The Mean ◽

Polynomial Expansions

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