Denich, Eleonora; Novati, Paolo Gaussian rule for integrals involving Bessel functions. (English) Zbl 07771236 BIT 63, No. 4, Paper No. 53, 25 p. (2023). MSC: 33C10 33C45 41A55 65D32 65F08 PDFBibTeX XMLCite \textit{E. Denich} and \textit{P. Novati}, BIT 63, No. 4, Paper No. 53, 25 p. (2023; Zbl 07771236) Full Text: DOI arXiv
Liu, Zexin; Narayan, Akil On the computation of recurrence coefficients for univariate orthogonal polynomials. (English) Zbl 1481.65041 J. Sci. Comput. 88, No. 3, Paper No. 53, 26 p. (2021). MSC: 65D20 33D45 42C05 PDFBibTeX XMLCite \textit{Z. Liu} and \textit{A. Narayan}, J. Sci. Comput. 88, No. 3, Paper No. 53, 26 p. (2021; Zbl 1481.65041) Full Text: DOI arXiv Link
Costabile, F. A.; Gualtieri, M. I.; Napoli, A. Matrix calculus-based approach to orthogonal polynomial sequences. (English) Zbl 1443.42015 Mediterr. J. Math. 17, No. 4, Paper No. 118, 22 p. (2020). MSC: 42C05 11B83 33C45 PDFBibTeX XMLCite \textit{F. A. Costabile} et al., Mediterr. J. Math. 17, No. 4, Paper No. 118, 22 p. (2020; Zbl 1443.42015) Full Text: DOI
Morrison, Conor L.; Shizgal, Bernard Pseudospectral solution of the Schrödinger equation for the Rosen-Morse and Eckart potentials. (English) Zbl 1414.81093 J. Math. Chem. 57, No. 4, 1035-1052 (2019). MSC: 81Q05 81Q10 42C10 PDFBibTeX XMLCite \textit{C. L. Morrison} and \textit{B. Shizgal}, J. Math. Chem. 57, No. 4, 1035--1052 (2019; Zbl 1414.81093) Full Text: DOI
Milovanović, Gradimir V. Symbolic-numeric computation of orthogonal polynomials and Gaussian quadratures with respect to the cardinal \(B\)-spline. (English) Zbl 1407.42016 Numer. Algorithms 76, No. 2, 333-347 (2017). MSC: 42C05 41A55 41A15 65D30 65D32 PDFBibTeX XMLCite \textit{G. V. Milovanović}, Numer. Algorithms 76, No. 2, 333--347 (2017; Zbl 1407.42016) Full Text: DOI
Baye, Daniel The Lagrange-mesh method. (English) Zbl 1357.65031 Phys. Rep. 565, 1-107 (2015). MSC: 65D32 81Q05 65L50 65M50 65N50 81U10 33C45 PDFBibTeX XMLCite \textit{D. Baye}, Phys. Rep. 565, 1--107 (2015; Zbl 1357.65031) Full Text: DOI Link
Dresse, Zoé; Van Assche, Walter Orthogonal polynomials for Minkowski’s question mark function. (English) Zbl 1312.42031 J. Comput. Appl. Math. 284, 171-183 (2015). Reviewer: Christoph Aistleitner (Kobe) MSC: 42C05 11B57 65Q30 PDFBibTeX XMLCite \textit{Z. Dresse} and \textit{W. Van Assche}, J. Comput. Appl. Math. 284, 171--183 (2015; Zbl 1312.42031) Full Text: DOI arXiv
Quarteroni, Alfio; Sacco, Riccardo; Saleri, Fausto; Gervasio, Paola Numerical mathematics. 4th ed. (Matematica numerica.) (Italian) Zbl 1293.65001 Unitext 77. La Matematica per il 3+2. Milan: Springer (ISBN 978-88-470-5643-5/pbk; 978-88-470-5644-2/ebook). xvii, 529 p. (2014). Reviewer: Raffaella Pavani (Milano) MSC: 65-01 65Dxx 65Fxx 65Hxx 65Lxx 65Mxx 65Nxx PDFBibTeX XMLCite \textit{A. Quarteroni} et al., Matematica numerica (Italian). 4th ed. Milan: Springer (2014; Zbl 1293.65001) Full Text: DOI
Landreman, Matt; Ernst, Darin R. New velocity-space discretization for continuum kinetic calculations and Fokker-Planck collisions. (English) Zbl 1349.82094 J. Comput. Phys. 243, 130-150 (2013). MSC: 82C80 65N35 65N75 82C31 82D10 PDFBibTeX XMLCite \textit{M. Landreman} and \textit{D. R. Ernst}, J. Comput. Phys. 243, 130--150 (2013; Zbl 1349.82094) Full Text: DOI arXiv
Mesquita, Teresa A.; Da Rocha, Z. Symbolic approach to the general cubic decomposition of polynomial sequences. Results for several orthogonal and symmetric cases. (English) Zbl 1264.33015 Opusc. Math. 32, No. 4, 675-687 (2012). MSC: 33C45 33D45 42C05 33F10 68W30 PDFBibTeX XMLCite \textit{T. A. Mesquita} and \textit{Z. Da Rocha}, Opusc. Math. 32, No. 4, 675--687 (2012; Zbl 1264.33015) Full Text: DOI
Gautschi, Walter Gauss quadrature routines for two classes of logarithmic weight functions. (English) Zbl 1200.65019 Numer. Algorithms 55, No. 2-3, 265-277 (2010). MSC: 65D32 41A55 65D20 83C45 68W30 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 55, No. 2--3, 265--277 (2010; Zbl 1200.65019) Full Text: DOI
Welfert, B. D. The weights of classical Gauss-Radau quadratures with double end-point. (English) Zbl 1188.41022 Appl. Numer. Math. 60, No. 5, 574-586 (2010). MSC: 41A55 PDFBibTeX XMLCite \textit{B. D. Welfert}, Appl. Numer. Math. 60, No. 5, 574--586 (2010; Zbl 1188.41022) Full Text: DOI
Milovanović, Gradimir V.; Cvetković, Aleksandar S. Nonstandard Gaussian quadrature formulae based on operator values. (English) Zbl 1190.65042 Adv. Comput. Math. 32, No. 4, 431-486 (2010). Reviewer: Ana-Maria Acu (Sibiu) MSC: 65D32 41A55 33C45 PDFBibTeX XMLCite \textit{G. V. Milovanović} and \textit{A. S. Cvetković}, Adv. Comput. Math. 32, No. 4, 431--486 (2010; Zbl 1190.65042) Full Text: DOI
Bultheel, Adhemar; Cruz-Barroso, Ruymán; Van Barel, Marc On Gauss-type quadrature formulas with prescribed nodes anywhere on the real line. (English) Zbl 1186.65029 Calcolo 47, No. 1, 21-48 (2010); erratum ibid. 50, No. 2, 163-164 (2013). MSC: 65D32 65F15 41A55 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} et al., Calcolo 47, No. 1, 21--48 (2010; Zbl 1186.65029) Full Text: DOI Link
Rosengren, Hjalmar An elementary approach to \(6j\)-symbols (classical, quantum, rational, trigonometric, and elliptic). (English) Zbl 1125.33015 Ramanujan J. 13, No. 1-3, 131-166 (2007). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 33D45 33D80 PDFBibTeX XMLCite \textit{H. Rosengren}, Ramanujan J. 13, No. 1--3, 131--166 (2007; Zbl 1125.33015) Full Text: DOI arXiv
Barrio, R.; Serrano, S. Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces. II: numerical stability. (English) Zbl 1073.65018 J. Comput. Appl. Math. 181, No. 2, 299-320 (2005). MSC: 65D20 42C05 65G50 42C10 65T40 PDFBibTeX XMLCite \textit{R. Barrio} and \textit{S. Serrano}, J. Comput. Appl. Math. 181, No. 2, 299--320 (2005; Zbl 1073.65018) Full Text: DOI
Barrio, R.; Melendo, B.; Serrano, S. Generation and evaluation of orthogonal polynomials in discrete Sobolev spaces. I: Algorithms. (English) Zbl 1066.42017 J. Comput. Appl. Math. 181, No. 2, 280-298 (2005). MSC: 42C05 65D20 42C10 33C47 PDFBibTeX XMLCite \textit{R. Barrio} et al., J. Comput. Appl. Math. 181, No. 2, 280--298 (2005; Zbl 1066.42017) Full Text: DOI
Milovanović, Gradimir V.; Cvetković, Aleksandar S. Orthogonal polynomials and Gaussian quadrature rules related to oscillatory weight functions. (English) Zbl 1074.41026 J. Comput. Appl. Math. 179, No. 1-2, 263-287 (2005). Reviewer: Pablo Gonzalez-Vera (La Laguna) MSC: 41A55 42C05 PDFBibTeX XMLCite \textit{G. V. Milovanović} and \textit{A. S. Cvetković}, J. Comput. Appl. Math. 179, No. 1--2, 263--287 (2005; Zbl 1074.41026) Full Text: DOI
Gout, C.; Guessab, A. Extended Lagrange interpolation and nonclassical Gauss quadrature formulae. (English) Zbl 1048.41016 Math. Comput. Modelling 38, No. 1-2, 209-228 (2003). Reviewer: L. Leindler (Szeged) MSC: 41A55 41A05 PDFBibTeX XMLCite \textit{C. Gout} and \textit{A. Guessab}, Math. Comput. Modelling 38, No. 1--2, 209--228 (2003; Zbl 1048.41016) Full Text: DOI
Gout, Christian; Guessab, Allal A new family of extended Gauss quadratures with an interior interval constraint. (English) Zbl 0985.65014 J. Comput. Appl. Math. 131, No. 1-2, 35-53 (2001). Reviewer: R.Wegmann (Garching) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{C. Gout} and \textit{A. Guessab}, J. Comput. Appl. Math. 131, No. 1--2, 35--53 (2001; Zbl 0985.65014) Full Text: DOI
Laurie, Dirk P. Computation of Gauss-type quadrature formulas. (English) Zbl 0980.65021 J. Comput. Appl. Math. 127, No. 1-2, 201-217 (2001). Reviewer: E.Kreyszig (Ottawa) MSC: 65D32 41A55 PDFBibTeX XMLCite \textit{D. P. Laurie}, J. Comput. Appl. Math. 127, No. 1--2, 201--217 (2001; Zbl 0980.65021) Full Text: DOI
Ezzirani, Abdelkrim; Guessab, Allal A fast algorithm for Gaussian type quadrature formulae with mixed boundary conditions and some lumped mass spectral approximations. (English) Zbl 0916.65020 Math. Comput. 68, No. 225, 217-248 (1999). Reviewer: R.Scherer (Karlsruhe) MSC: 65D32 65N35 41A55 35J25 PDFBibTeX XMLCite \textit{A. Ezzirani} and \textit{A. Guessab}, Math. Comput. 68, No. 225, 217--248 (1999; Zbl 0916.65020) Full Text: DOI
Gautschi, Walter Remark on Algorithm 726: ORTHPOL – a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules. (English) Zbl 0932.65018 ACM Trans. Math. Softw. 24, No. 3, 355 (1998). MSC: 65D20 42C05 65D32 41A55 PDFBibTeX XMLCite \textit{W. Gautschi}, ACM Trans. Math. Softw. 24, No. 3, 355 (1998; Zbl 0932.65018) Full Text: DOI arXiv
Fischer, H.-J. On generating orthogonal polynomials for discrete measures. (English) Zbl 0901.42017 Z. Anal. Anwend. 17, No. 1, 183-205 (1998). Reviewer: A.Martínez Finkelshtein (Almeria) MSC: 42C05 65D99 PDFBibTeX XMLCite \textit{H. J. Fischer}, Z. Anal. Anwend. 17, No. 1, 183--205 (1998; Zbl 0901.42017) Full Text: DOI
Gautschi, Walter; Kuijlaars, A. B. J. Zeros and critical points of Sobolev orthogonal polynomials. (English) Zbl 0897.42014 J. Approximation Theory 91, No. 1, 117-137 (1997). Reviewer: D.S.Lubinsky (Wits) MSC: 42C05 30E15 65D20 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{A. B. J. Kuijlaars}, J. Approx. Theory 91, No. 1, 117--137 (1997; Zbl 0897.42014) Full Text: DOI
Laurie, Dirk P. Anti-Gaussian quadrature formulas. (English) Zbl 0843.41020 Math. Comput. 65, No. 214, 739-747 (1996). MSC: 41A55 33C45 PDFBibTeX XMLCite \textit{D. P. Laurie}, Math. Comput. 65, No. 214, 739--747 (1996; Zbl 0843.41020) Full Text: DOI
Magnus, Alphonse P. Special nonuniform lattice (snul) orthogonal polynomials on discrete dense sets of points. (English) Zbl 0847.33008 J. Comput. Appl. Math. 65, No. 1-3, 253-265 (1995). MSC: 33C45 33E30 42C05 PDFBibTeX XMLCite \textit{A. P. Magnus}, J. Comput. Appl. Math. 65, No. 1--3, 253--265 (1995; Zbl 0847.33008) Full Text: DOI arXiv
Gautschi, W. Algorithm 726: ORTHPOL – a package for routines for generating orthogonal polynomials and Gauss-type quadrature rules. (English) Zbl 0888.65013 ACM Trans. Math. Softw. 20, No. 1, 21-62 (1994). MSC: 65D20 42C05 65Q05 65D32 65H05 PDFBibTeX XMLCite \textit{W. Gautschi}, ACM Trans. Math. Softw. 20, No. 1, 21--62 (1994; Zbl 0888.65013) Full Text: DOI Link
Gautschi, Walter Is the recurrence relation for orthogonal polynomials always stable? (English) Zbl 0783.65009 BIT 33, No. 2, 277-284 (1993). Reviewer: D.Braess (Bochum) MSC: 65D20 42C05 33C45 PDFBibTeX XMLCite \textit{W. Gautschi}, BIT 33, No. 2, 277--284 (1993; Zbl 0783.65009) Full Text: DOI