Algorithm 672: generation of interpolatory quadrature rules of the highest degree of precision with preassigned nodes for general weight functions

ACM Transactions on Mathematical Software ◽

10.1145/63522.69649 ◽

1989 ◽

Vol 15 (2) ◽

pp. 137-143 ◽

Author(s):

T. N. L. Patterson

Keyword(s):

Quadrature Rules ◽

Weight Functions ◽

General Weight ◽

Interpolatory Quadrature

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An algorithm for generating interpolatory quadrature rules of the highest degree of precision with preassigned nodes for general weight functions

ACM Transactions on Mathematical Software ◽

10.1145/63522.63523 ◽

1989 ◽

Vol 15 (2) ◽

pp. 123-136 ◽

Author(s):

T. N. L. Patterson

Keyword(s):

Quadrature Rules ◽

Weight Functions ◽

General Weight ◽

Interpolatory Quadrature

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Stable High Order Quadrature Rules for Scattered Data and General Weight Functions

SIAM Journal on Numerical Analysis ◽

10.1137/19m1257901 ◽

2020 ◽

Vol 58 (4) ◽

pp. 2144-2164

Author(s):

Jan Glaubitz

Keyword(s):

Scattered Data ◽

Quadrature Rules ◽

Weight Functions ◽

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A weighted residual development of a time-stepping algorithm for structural dynamics using two general weight functions

International Journal for Numerical Methods in Engineering ◽

10.1002/(sici)1097-0207(19980515)42:1<93::aid-nme353>3.0.co;2-w ◽

1998 ◽

Vol 42 (1) ◽

pp. 93-103 ◽

Author(s):

B. W. Golley

Keyword(s):

Structural Dynamics ◽

Weight Functions ◽

Time Stepping ◽

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Technical note: Lobatto quadrature rules with B-spline weight functions

Advances in Engineering Software (1978) ◽

10.1016/0141-1195(85)90090-7 ◽

1985 ◽

Vol 7 (1) ◽

pp. 28-31

Author(s):

B.A. Lewis

Keyword(s):

Technical Note ◽

Quadrature Rules ◽

Weight Functions ◽

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Positive interpolatory quadrature rules generated by some biorthogonal polynomials

Mathematics of Computation ◽

10.1090/s0025-5718-09-02299-6 ◽

2009 ◽

Vol 79 (270) ◽

pp. 845-855 ◽

Author(s):

D. S. Lubinsky ◽

A. Sidi

Keyword(s):

Quadrature Rules ◽

Interpolatory Quadrature ◽

Biorthogonal Polynomials

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Interpolatory quadrature formulas on the unit circle for Chebyshev weight functions

Numerische Mathematik ◽

10.1007/s002110100323 ◽

2002 ◽

Vol 90 (4) ◽

pp. 641-664 ◽

Author(s):

Leyla Daruis ◽

Pablo González-Vera

Keyword(s):

Unit Circle ◽

Weight Functions ◽

Quadrature Formulas ◽

Interpolatory Quadrature

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Convergent Non Complete Interpolatory Quadrature Rules

Orthogonal Polynomials: Current Trends and Applications - SEMA SIMAI Springer Series ◽

10.1007/978-3-030-56190-1_7 ◽

2021 ◽

pp. 193-214

Author(s):

Ulises Fidalgo ◽

Jacob Olson

Keyword(s):

Quadrature Rules ◽

Interpolatory Quadrature

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Error bounds for interpolatory quadrature rules on the unit circle

Mathematics of Computation ◽

10.1090/s0025-5718-00-01260-6 ◽

2000 ◽

Vol 70 (233) ◽

pp. 281-297 ◽

Author(s):

J. C. Santos-León

Keyword(s):

Unit Circle ◽

Error Bounds ◽

Quadrature Rules ◽

Interpolatory Quadrature

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On selection of the best coefficients in interpolatory quadrature rules

Applied Mathematics and Computation ◽

10.1016/j.amc.2006.04.070 ◽

2006 ◽

Vol 182 (2) ◽

pp. 1240-1246 ◽

Author(s):

S.M. Hashemiparast ◽

M. Masjed-Jamei ◽

Mehdi Dehghan

Keyword(s):

Quadrature Rules ◽

Interpolatory Quadrature ◽

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Orthogonal polynomials and Gaussian quadrature rules related to oscillatory weight functions

Journal of Computational and Applied Mathematics ◽

10.1016/j.cam.2004.09.044 ◽

2005 ◽

Vol 179 (1-2) ◽

pp. 263-287 ◽

Author(s):

Gradimir V. Milovanović ◽

Aleksandar S. Cvetković

Keyword(s):

Orthogonal Polynomials ◽

Gaussian Quadrature ◽

Quadrature Rules ◽

Weight Functions

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