Search Results - "modified Chebyshev algorithm"

FAST GAUSS-RELATED QUADRATURE FOR HIGHLY OSCILLATORY INTEGRALS WITH LOGARITHM AND CAUCHY-LOGARITHMIC TYPE SINGULARITIES

Authors: Kayijuka I. Ege S.M. Konuralp A. et al.

Subject Terms: logarithmic weight function, Logarithmic weight function, algebraic and logarithm singular integrals, Clenshaw-Curtis Rules, Computation, Highly oscillatory integrals, steepest descent method, Modified Chebyshev algorithm, Steepest descent method, modified Chebyshev algorithm, Algebraic and logarithm singular in-tegrals, Cauchy principal value integrals

Access URL: https://hdl.handle.net/11454/79091
https://hdl.handle.net/11454/80150

Modified Moments and Matrix Orthogonal Polynomials: Modified moments and matrix orthogonal polynomials

Authors: E. Bourreau

Source: Acta Applicandae Mathematica. 61:53-64

Subject Terms: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), modified moments, Computation of special functions and constants, construction of tables, biorthogonality, numerial examples, Numerical methods for trigonometric approximation and interpolation, modified Chebyshev algorithm, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, orthogonal polynomials, 01 natural sciences

File Description: application/xml

Access URL: https://link.springer.com/article/10.1023/A%3A1006419830281

How to choose modified moments?

Authors: Bernhard Beckermann Emmanuel Bourreau

Source: Journal of Computational and Applied Mathematics. 98:81-98

Subject Terms: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), modified moments, numerical examples, Computational Mathematics, Computation of special functions and constants, construction of tables, Applied Mathematics, modified Chebyshev algorithm, 0101 mathematics, Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis, orthogonal polynomials, 01 natural sciences

File Description: application/xml

Access URL: https://www.sciencedirect.com/science/article/pii/S0377042798001162
http://www.sciencedirect.com/science/article/pii/S0377042798001162

How to generate unknown orthogonal polynomials out of known orthogonal polynomials

Authors: Bernd Fischer Gene H. Golub

Source: Journal of Computational and Applied Mathematics. 43:99-115

Subject Terms: modified moments, recurrence relations, Orthogonal polynomials, Applied Mathematics, Gauss quadrature, algorithms, 01 natural sciences, Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Computational Mathematics, Computation of special functions and constants, construction of tables, Numerical methods for functional equations, modified Chebyshev algorithm, 0101 mathematics, orthogonal polynomials

File Description: application/xml

Access URL: http://infolab.stanford.edu/pub/cstr/reports/na/m/91/06/NA-M-91-06.pdf
https://www.sciencedirect.com/science/article/pii/037704279290261U
https://www.sciencedirect.com/science/article/abs/pii/037704279290261U

Modified moments for indefinite weight functions

Authors: Martin H. Gutknecht Gene H. Golub

Source: Numerische Mathematik. 57:607-624

Subject Terms: modified moments, Iterative numerical methods for linear systems, modified Chebyshev algorithm, 0101 mathematics, Moment problems and interpolation problems in the complex plane, Padé approximation, 01 natural sciences, indefinite measure

File Description: application/xml

Access URL: http://www.sam.math.ethz.ch/~mhg/pub/mhg-published/GolG90-NM57.pdf
https://zbmath.org/4112964
https://doi.org/10.1007/bf01386431
https://link.springer.com/content/pdf/10.1007/BF01386431.pdf
https://link.springer.com/article/10.1007%2FBF01386431

Orthogonal polynomials relative to a generalized Marchenko–Pastur measure [version 1.0]

Authors: Walter Gautschi, 0000-0001-9184-8899

Subject Terms: Computer Science, Mathematics, Matlab, Modification algorithms for orthogonal polynomials, Modified Chebyshev algorithm, Orthogonal polynomials, Walter Gautschi Archives, weight functions

File Description: application/zip

Availability: https://doi.org/10.4231/7BZN-GM13

Modified Moments and Matrix Orthogonal Polynomials

Authors: E. Bourreau The Pennsylvania State University CiteSeerX Archives

Contributors: E. Bourreau The Pennsylvania State University CiteSeerX Archives

Source: http://ano.univ-lille1.fr/pub/1999/ano400.ps.Z.

Subject Terms: Orthogonal polynomials, Modified moments, Modified Chebyshev algorithm

File Description: application/postscript

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.11.7389

Availability: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.11.7389
http://ano.univ-lille1.fr/pub/1999/ano400.ps.Z

How to Choose Modified Moments?

Authors: Bernhard Beckermann Emmanuel Bourreau The Pennsylvania State University CiteSeerX Archives

Contributors: Bernhard Beckermann Emmanuel Bourreau The Pennsylvania State University CiteSeerX Archives

Source: http://ano.univ-lille1.fr/pub/1997/ano368.ps.Z.

Subject Terms: Key words, Orthogonal polynomials, Modified moments, Modified Chebyshev algorithm. Subject Classifications, AMS(MOS, 65D20, 33C45

File Description: application/postscript

Relation: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.12.1494

Availability: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.12.1494
http://ano.univ-lille1.fr/pub/1997/ano368.ps.Z

On Generating Orthogonal Polynomials: On generating orthogonal polynomials

Authors: Walter Gautschi

Source: SIAM Journal on Scientific and Statistical Computing. 3:289-317

Subject Terms: Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.), Computation of special functions and constants, construction of tables, recursion coefficients, condition numbers, modified Chebyshev algorithm, 0101 mathematics, discretized Stieltjes procedure, 01 natural sciences, recurrence relations for orthogonal polynomials

File Description: application/xml

Access URL: https://zbmath.org/3757591
https://doi.org/10.1137/0903018
https://epubs.siam.org/doi/10.1137/0903018
https://dl.acm.org/doi/10.1137/0903018

32-digit values of the first 100 recurrence coefficients for a weight function with a logarithmic type singularity [version 1.0]

Authors: Walter Gautschi, 0000-0001-9184-8899

Subject Terms: Computer Science, Mathematics, Modification algorithms for orthogonal polynomials, Modified Chebyshev algorithm, Orthogonal polynomials, Walter Gautschi Archives, weight functions

File Description: text/plain

Relation: https://doi.org/10.4231/R7BR8Q6R

Availability: https://doi.org/10.4231/R7BR8Q6R

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=x^(-1/2)*exp(-x)*(x-1-log(x)) on [0,Inf] obtained from moments [version 1.0]

Authors: Walter Gautschi, 0000-0001-9184-8899

Subject Terms: Computer Science, Gaussian quadrature, Logarithmic weight functions, Mathematics, Modification algorithms for orthogonal polynomials, Modified Chebyshev algorithm, Orthogonal polynomials, Walter Gautschi Archives, weight functions

File Description: text/plain

Relation: https://doi.org/10.4231/R79P2ZMR

Availability: https://doi.org/10.4231/R79P2ZMR

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x)^(1/2)*x^(-1/2)*log(1/x) on [0,1] [version 1.0]

Authors: Walter Gautschi, 0000-0001-9184-8899

Subject Terms: Computer Science, Mathematics, Modification algorithms for orthogonal polynomials, Modified Chebyshev algorithm, Orthogonal polynomials, Walter Gautschi Archives, weight functions

File Description: text/plain

Relation: https://doi.org/10.4231/R7PZ56TN

Availability: https://doi.org/10.4231/R7PZ56TN

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x)^(-1/2)*x^(-1/2)*log(1/x) on [0,1] [version 1.0]

Authors: Walter Gautschi, 0000-0001-9184-8899

Subject Terms: Computer Science, Mathematics, Modification algorithms for orthogonal polynomials, Modified Chebyshev algorithm, Orthogonal polynomials, Walter Gautschi Archives, weight functions

File Description: text/plain

Relation: https://doi.org/10.4231/R7K64G26

Availability: https://doi.org/10.4231/R7K64G26

32-digit values of the first 100 recurrence coefficients, obtained from modified moments, for the Laguerre weight function multiplied by a logarithmically singular function [version 1.0]

Authors: Walter Gautschi, 0000-0001-9184-8899

Subject Terms: Computer Science, Logarithmic weight functions, Mathematics, Modification algorithms for orthogonal polynomials, Modified Chebyshev algorithm, Orthogonal polynomials, Walter Gautschi Archives, weight functions

File Description: text/plain

Relation: https://doi.org/10.4231/R7M043CX

Availability: https://doi.org/10.4231/R7M043CX

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x)^(1/2)*log(1/x) on [0,1] [version 1.0]

Authors: Walter Gautschi, 0000-0001-9184-8899

Subject Terms: Computer Science, Mathematics, Modification algorithms for orthogonal polynomials, Modified Chebyshev algorithm, Orthogonal polynomials, Walter Gautschi Archives, weight functions

File Description: text/plain

Relation: https://doi.org/10.4231/R7ZC80VC

Availability: https://doi.org/10.4231/R7ZC80VC

32-digit values of the first 100 recurrence coefficients for the weight function w(x)=(1-x)^(-1/2)*log(1/x) on [0,1] [version 1.0]

Authors: Walter Gautschi, 0000-0001-9184-8899

Subject Terms: Computer Science, Mathematics, Modification algorithms for orthogonal polynomials, Modified Chebyshev algorithm, Orthogonal polynomials, Walter Gautschi Archives, weight functions

File Description: text/plain

Relation: Gorthi, A., Volenec, J. J., & Welp, L. R. (2019). Stomatal response in soybean during drought improves leaf-scale and field-scale water use efficiencies. Agricultural and Forest Meteorology, 276-277, 107629. doi:10.1016/j.agrformet.2019.107629; https://doi.org/10.4231/R7348HBP

Availability: https://doi.org/10.4231/R7348HBP

GQLOG: Matlab routines for computing Gauss Quadrature rules with logarithmic weight functions [version 1.0]

Authors: Walter Gautschi, 0000-0001-9184-8899

Subject Terms: Computer Science, Gaussian quadrature, Jacobi weight functions, Logarithmic weight functions, Mathematics, Matlab, Modified Chebyshev algorithm, Orthogonal polynomials, Software source code, Variable-precision arithmetic, Walter Gautschi Archives

File Description: text/plain

Relation: https://doi.org/10.4231/R72R3PMB

Availability: https://doi.org/10.4231/R72R3PMB