Notaris, Sotirios E. Stieltjes polynomials and related quadrature formulae for a class of weight functions. II. (English) Zbl 1411.41022 Numer. Math. 142, No. 1, 129-147 (2019). MSC: 41A55 33C45 65D32 PDF BibTeX XML Cite \textit{S. E. Notaris}, Numer. Math. 142, No. 1, 129--147 (2019; Zbl 1411.41022) Full Text: DOI
Notaris, Sotirios E. Anti-Gaussian quadrature formulae based on the zeros of Stieltjes polynomials. (English) Zbl 06858774 BIT 58, No. 1, 179-198 (2018). MSC: 65D32 PDF BibTeX XML Cite \textit{S. E. Notaris}, BIT 58, No. 1, 179--198 (2018; Zbl 06858774) Full Text: DOI
de la Calle Ysern, B.; Spalević, M. M. Modified Stieltjes polynomials and Gauss-Kronrod quadrature rules. (English) Zbl 1384.41022 Numer. Math. 138, No. 1, 1-35 (2018). Reviewer: Kai Diethelm (Braunschweig) MSC: 41A55 33C45 PDF BibTeX XML Cite \textit{B. de la Calle Ysern} and \textit{M. M. Spalević}, Numer. Math. 138, No. 1, 1--35 (2018; Zbl 1384.41022) Full Text: DOI
Occorsio, Donatella; Russo, Maria Grazia A new quadrature scheme based on an extended Lagrange interpolation process. (English) Zbl 1377.65034 Appl. Numer. Math. 124, 57-75 (2018). MSC: 65D32 41A55 PDF BibTeX XML Cite \textit{D. Occorsio} and \textit{M. G. Russo}, Appl. Numer. Math. 124, 57--75 (2018; Zbl 1377.65034) Full Text: DOI
Bourquin, Raoul Algorithms for the construction of high-order Kronrod rule extensions with application to sparse-grid integration. (English) Zbl 1377.65032 Numer. Algorithms 76, No. 3, 617-637 (2017). MSC: 65D32 41A55 PDF BibTeX XML Cite \textit{R. Bourquin}, Numer. Algorithms 76, No. 3, 617--637 (2017; Zbl 1377.65032) Full Text: DOI
Spalević, M. M.; Cvetković, A. S. Estimating the error of Gaussian quadratures with simple and multiple nodes by using their extensions with multiple nodes. (English) Zbl 1342.65102 BIT 56, No. 1, 357-374 (2016). Reviewer: Denis Sidorov (Irkutsk) MSC: 65D32 41A55 41A80 PDF BibTeX XML Cite \textit{M. M. Spalević} and \textit{A. S. Cvetković}, BIT 56, No. 1, 357--374 (2016; Zbl 1342.65102) Full Text: DOI
Berrone, S.; Canuto, C.; Pieraccini, S.; Scialò, S. Uncertainty quantification in discrete fracture network models: stochastic fracture transmissivity. (English) Zbl 1443.76210 Comput. Math. Appl. 70, No. 4, 603-623 (2015). MSC: 76S05 74R20 60H35 PDF BibTeX XML Cite \textit{S. Berrone} et al., Comput. Math. Appl. 70, No. 4, 603--623 (2015; Zbl 1443.76210) Full Text: DOI
Chen, Michael; Mehrotra, Sanjay; Papp, Dávid Scenario generation for stochastic optimization problems via the sparse grid method. (English) Zbl 1331.90043 Comput. Optim. Appl. 62, No. 3, 669-692 (2015). MSC: 90C15 PDF BibTeX XML Cite \textit{M. Chen} et al., Comput. Optim. Appl. 62, No. 3, 669--692 (2015; Zbl 1331.90043) Full Text: DOI
Occorsio, Donatella; Russo, Maria Grazia Mean convergence of an extended Lagrange interpolation process on \([0,+\infty)\). (English) Zbl 1299.41005 Acta Math. Hung. 142, No. 2, 317-338 (2014). Reviewer: Zoltán Finta (Cluj-Napoca) MSC: 41A05 41A10 41A65 PDF BibTeX XML Cite \textit{D. Occorsio} and \textit{M. G. Russo}, Acta Math. Hung. 142, No. 2, 317--338 (2014; Zbl 1299.41005) Full Text: DOI
Milovanović, Gradimir V.; Spalević, Miodrag M. Kronrod extensions with multiple nodes of quadrature formulas for Fourier coefficients. (English) Zbl 1350.41034 Math. Comput. 83, No. 287, 1207-1231 (2014). Reviewer: Liu Zheng (Anshan) MSC: 41A55 65D30 65D32 PDF BibTeX XML Cite \textit{G. V. Milovanović} and \textit{M. M. Spalević}, Math. Comput. 83, No. 287, 1207--1231 (2014; Zbl 1350.41034) Full Text: DOI
Jung, Hee Sun; Sakai, Ryozi Asymptotic properties of derivatives of the Stieltjes polynomials. (English) Zbl 1252.41004 J. Appl. Math. 2012, Article ID 482935, 25 p. (2012). MSC: 41A05 41A10 PDF BibTeX XML Cite \textit{H. S. Jung} and \textit{R. Sakai}, J. Appl. Math. 2012, Article ID 482935, 25 p. (2012; Zbl 1252.41004) Full Text: DOI
De La Calle Ysern, B.; Lagomasino, G. López; Reichel, L. Stieltjes-type polynomials on the unit circle. (English) Zbl 1198.65049 Math. Comput. 78, No. 266, 969-997 (2009). MSC: 65D32 42A10 42C05 30E20 PDF BibTeX XML Cite \textit{B. De La Calle Ysern} et al., Math. Comput. 78, No. 266, 969--997 (2009; Zbl 1198.65049) Full Text: DOI
Bojanov, Borislav; Petrova, Guergana Quadrature formulas for Fourier coefficients. (English) Zbl 1170.65015 J. Comput. Appl. Math. 231, No. 1, 378-391 (2009). Reviewer: Ferenc Móricz (Szeged) MSC: 65D32 65T40 41A55 PDF BibTeX XML Cite \textit{B. Bojanov} and \textit{G. Petrova}, J. Comput. Appl. Math. 231, No. 1, 378--391 (2009; Zbl 1170.65015) Full Text: DOI
Milovanović, Gradimir V.; Spalević, Miodrag M. Gauss-Tur’an quadratures of Kronrod type for generalized Chebyshev weight functions. (English) Zbl 1137.65014 Calcolo 43, No. 3, 171-195 (2006). Reviewer: Jesus Illán González (Vigo) MSC: 65D30 65D32 41A55 PDF BibTeX XML Cite \textit{G. V. Milovanović} and \textit{M. M. Spalević}, Calcolo 43, No. 3, 171--195 (2006; Zbl 1137.65014) Full Text: DOI
Jung, H. S. Hermite and Hermite-Fejér interpolation for Stieltjes polynomials. (English) Zbl 1094.41002 Math. Comput. 75, No. 254, 743-766 (2006). MSC: 41A05 65D05 PDF BibTeX XML Cite \textit{H. S. Jung}, Math. Comput. 75, No. 254, 743--766 (2006; Zbl 1094.41002) Full Text: DOI
Jung, H. S. Estimates for the first and second derivatives of the Stieltjes polynomials. (English) Zbl 1043.33006 J. Approximation Theory 127, No. 2, 155-177 (2004). MSC: 33C45 42C05 65D05 PDF BibTeX XML Cite \textit{H. S. Jung}, J. Approx. Theory 127, No. 2, 155--177 (2004; Zbl 1043.33006) 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 PDF BibTeX XML Cite \textit{C. Gout} and \textit{A. Guessab}, Math. Comput. Modelling 38, No. 1--2, 209--228 (2003; Zbl 1048.41016) Full Text: DOI
Bello Hernández, M.; de la Calle Ysern, B.; Guadalupe Hernández, J. J.; López Lagomasino, G. Asymptotics for Stieltjes polynomials, Padé-type approximants, and Gauss-Kronrod quadrature. (English) Zbl 1020.41019 J. Anal. Math. 86, 1-23 (2002). Reviewer: Pablo Gonzalez-Vera (La Laguna) MSC: 41A60 41A55 41A21 PDF BibTeX XML Cite \textit{M. Bello Hernández} et al., J. Anal. Math. 86, 1--23 (2002; Zbl 1020.41019) Full Text: DOI
Ehrich, Sven On stratified extensions of Gauss-Laguerre and Gauss-Hermite quadrature formulas. (English) Zbl 1002.41014 J. Comput. Appl. Math. 140, No. 1-2, 291-299 (2002). Reviewer: Boris I.Golubov (Dolgoprudny) MSC: 41A55 PDF BibTeX XML Cite \textit{S. Ehrich}, J. Comput. Appl. Math. 140, No. 1--2, 291--299 (2002; Zbl 1002.41014) 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 PDF BibTeX XML Cite \textit{C. Gout} and \textit{A. Guessab}, J. Comput. Appl. Math. 131, No. 1--2, 35--53 (2001; Zbl 0985.65014) Full Text: DOI
Ehrich, Sven Stopping functionals for Gaussian quadrature formulas. (English) Zbl 0973.41015 J. Comput. Appl. Math. 127, No. 1-2, 153-171 (2001). Reviewer: Luigi Gatteschi (Torino) MSC: 41A55 PDF BibTeX XML Cite \textit{S. Ehrich}, J. Comput. Appl. Math. 127, No. 1--2, 153--171 (2001; Zbl 0973.41015) Full Text: DOI
Calvetti, D.; Golub, G. H.; Gragg, W. B.; Reichel, L. Computation of Gauss-Kronrod quadrature rules. (English) Zbl 0947.65022 Math. Comput. 69, No. 231, 1035-1052 (2000). Reviewer: Luigi Gatteschi (Torino) MSC: 65D32 65Y05 65Y20 41A55 PDF BibTeX XML Cite \textit{D. Calvetti} et al., Math. Comput. 69, No. 231, 1035--1052 (2000; Zbl 0947.65022) Full Text: DOI
Ehrich, Sven; Mastroianni, Giuseppe Marcinkiewicz inequalities based on Stieltjes zeros. (English) Zbl 0935.41002 J. Comput. Appl. Math. 99, No. 1-2, 129-141 (1998). Reviewer: S.M.Mazhar (Kuwait) MSC: 41A05 PDF BibTeX XML Cite \textit{S. Ehrich} and \textit{G. Mastroianni}, J. Comput. Appl. Math. 99, No. 1--2, 129--141 (1998; Zbl 0935.41002) Full Text: DOI
Ehrich, Sven On orthogonal polynomials for certain nondefinite linear functionals. (English) Zbl 0942.42014 J. Comput. Appl. Math. 99, No. 1-2, 119-128 (1998). Reviewer: Václav Burjan (Praha) MSC: 42C05 33C45 26C10 65D07 41A15 PDF BibTeX XML Cite \textit{S. Ehrich}, J. Comput. Appl. Math. 99, No. 1--2, 119--128 (1998; Zbl 0942.42014) Full Text: DOI
Laurie, Dirk P. Calculation of Gauss-Kronrod quadrature rules. (English) Zbl 0870.65018 Math. Comput. 66, No. 219, 1133-1145 (1997). MSC: 65D32 41A55 PDF BibTeX XML Cite \textit{D. P. Laurie}, Math. Comput. 66, No. 219, 1133--1145 (1997; Zbl 0870.65018) Full Text: DOI
Ehrich, Sven; Mastroianni, Giuseppe Stieltjes polynomials and Lagrange interpolation. (English) Zbl 0854.41002 Math. Comput. 66, No. 217, 311-331 (1997). MSC: 41A05 65D05 33C45 PDF BibTeX XML Cite \textit{S. Ehrich} and \textit{G. Mastroianni}, Math. Comput. 66, No. 217, 311--331 (1997; Zbl 0854.41002) Full Text: DOI
Li, Shikang Kronrod extension of generalized Gauss-Radau and Gauss-Lobatto formulae. (English) Zbl 0883.41016 Rocky Mt. J. Math. 26, No. 4, 1455-1472 (1996). Reviewer: D.S.Lubinsky (Wits) MSC: 41A55 65D30 PDF BibTeX XML Cite \textit{S. Li}, Rocky Mt. J. Math. 26, No. 4, 1455--1472 (1996; Zbl 0883.41016) Full Text: DOI Link
Gautschi, Walter; Notaris, Sotirios E. Stieltjes polynomials and related quadrature formulae for a class of weight functions. (English) Zbl 0853.41019 Math. Comput. 65, No. 215, 1257-1268 (1996). MSC: 41A55 33C45 65D32 PDF BibTeX XML Cite \textit{W. Gautschi} and \textit{S. E. Notaris}, Math. Comput. 65, No. 215, 1257--1268 (1996; Zbl 0853.41019) Full Text: DOI
Ehrich, Sven A note on Peano constants of Gauss-Kronrod quadrature schemes. (English) Zbl 0853.41018 J. Comput. Appl. Math. 66, No. 1-2, 177-183 (1996). MSC: 41A55 41A80 PDF BibTeX XML Cite \textit{S. Ehrich}, J. Comput. Appl. Math. 66, No. 1--2, 177--183 (1996; Zbl 0853.41018) Full Text: DOI
Peherstorfer, Franz Stieltjes polynomials and functions of the second kind. (English) Zbl 0869.33004 J. Comput. Appl. Math. 65, No. 1-3, 319-338 (1995). MSC: 33C45 42C05 65D32 PDF BibTeX XML Cite \textit{F. Peherstorfer}, J. Comput. Appl. Math. 65, No. 1--3, 319--338 (1995; Zbl 0869.33004) Full Text: DOI
Ehrich, Sven Asymptotic behaviour of Stieltjes polynomials for ultraspherical weight functions. (English) Zbl 0867.42011 J. Comput. Appl. Math. 65, No. 1-3, 135-144 (1995). Reviewer: L.Gatteschi (Torino) MSC: 42C05 33C55 41A55 PDF BibTeX XML Cite \textit{S. Ehrich}, J. Comput. Appl. Math. 65, No. 1--3, 135--144 (1995; Zbl 0867.42011) Full Text: DOI
Notaris, Sotirios E. Stieltjes polynomials and Gauss-Kronrod quadrature formulae for measures induced by Chebyshev polynomials. (English) Zbl 0822.41024 Numer. Algorithms 10, No. 1-2, 167-186 (1995). MSC: 41A55 PDF BibTeX XML Cite \textit{S. E. Notaris}, Numer. Algorithms 10, No. 1--2, 167--186 (1995; Zbl 0822.41024) Full Text: DOI
Milovanović, Gradimir V.; Rajković, Predrag M. On polynomials orthogonal on a circular arc. (English) Zbl 0801.42014 J. Comput. Appl. Math. 51, No. 1, 1-13 (1994). MSC: 42C05 33C45 PDF BibTeX XML Cite \textit{G. V. Milovanović} and \textit{P. M. Rajković}, J. Comput. Appl. Math. 51, No. 1, 1--13 (1994; Zbl 0801.42014) Full Text: DOI
Ehrich, Sven Error bounds for Gauss-Kronrod quadrature formulae. (English) Zbl 0790.41020 Math. Comput. 62, No. 205, 295-304 (1994). MSC: 41A55 PDF BibTeX XML Cite \textit{S. Ehrich}, Math. Comput. 62, No. 205, 295--304 (1994; Zbl 0790.41020) Full Text: DOI
Patterson, T. N. L. Modified optimal quadrature extensions. (English) Zbl 0801.65016 Numer. Math. 64, No. 4, 511-520 (1993). Reviewer: G.Hämmerlin (München) MSC: 65D32 41A55 PDF BibTeX XML Cite \textit{T. N. L. Patterson}, Numer. Math. 64, No. 4, 511--520 (1993; Zbl 0801.65016) Full Text: DOI EuDML
Palamara Orsi, Annamaria Two algorithms for the construction of product formulas. (English) Zbl 0788.65024 Computing 49, No. 4, 363-372 (1993). Reviewer: J.N.Lyness (Argonne) MSC: 65D32 41A55 PDF BibTeX XML Cite \textit{A. Palamara Orsi}, Computing 49, No. 4, 363--372 (1993; Zbl 0788.65024) Full Text: DOI
Notaris, Sotirios E. On Gauss-Kronrod quadrature formulae of Chebyshev type. (English) Zbl 0768.41029 Math. Comput. 58, No. 198, 745-753 (1992). Reviewer: D.Acu (Sibiu) MSC: 41A55 33C65 PDF BibTeX XML Cite \textit{S. E. Notaris}, Math. Comput. 58, No. 198, 745--753 (1992; Zbl 0768.41029) Full Text: DOI
Peherstorfer, Franz On the asymptotic behaviour of functions of the second kind and Stieltjes polynomials and on the Gauss-Kronrod quadrature formulas. (English) Zbl 0760.41020 J. Approximation Theory 70, No. 2, 156-190 (1992). Reviewer: P.Narain (Bombay) MSC: 41A55 PDF BibTeX XML Cite \textit{F. Peherstorfer}, J. Approx. Theory 70, No. 2, 156--190 (1992; Zbl 0760.41020) Full Text: DOI
Elhay, Sylvan; Kautsky, Jaroslav Generalized Kronrod Patterson type imbedded quadratures. (English) Zbl 0754.65025 Appl. Math., Praha 37, No. 2, 81-103 (1992). Reviewer: J.Kofroň (Praha) MSC: 65D32 41A55 PDF BibTeX XML Cite \textit{S. Elhay} and \textit{J. Kautsky}, Appl. Math., Praha 37, No. 2, 81--103 (1992; Zbl 0754.65025) Full Text: EuDML
Begumisa, Anuntiato; Robinson, Ian Suboptimal Kronrod extension formulae for numerical quadrature. (English) Zbl 0699.65015 Numer. Math. 58, No. 8, 807-818 (1991). Reviewer: A.Begumisa MSC: 65D32 41A55 PDF BibTeX XML Cite \textit{A. Begumisa} and \textit{I. Robinson}, Numer. Math. 58, No. 8, 807--818 (1991; Zbl 0699.65015) Full Text: DOI EuDML
Criscuolo, Giuliana; Mastroianni, Giuseppe; Occorsio, Donatella Uniform convergence of derivatives of extended Lagrange interpolation. (English) Zbl 0746.41003 Numer. Math. 60, No. 2, 195-218 (1991). Reviewer: C.Mustăţa (Cluj-Napoca) MSC: 41A05 PDF BibTeX XML Cite \textit{G. Criscuolo} et al., Numer. Math. 60, No. 2, 195--218 (1991; Zbl 0746.41003) Full Text: DOI EuDML
Belantari, A. Error estimate in vector Padé approximation. (English) Zbl 0759.41012 Appl. Numer. Math. 8, No. 6, 457-468 (1991). Reviewer: J.Karlsson (Göteborg) MSC: 41A21 41A25 41A63 PDF BibTeX XML Cite \textit{A. Belantari}, Appl. Numer. Math. 8, No. 6, 457--468 (1991; Zbl 0759.41012) Full Text: DOI
Criscuolo, Giuliana; Mastroianni, Giuseppe; Occorsio, Donatella Convergence of extended Lagrange interpolation. (English) Zbl 0722.41005 Math. Comput. 55, No. 191, 197-212 (1990). MSC: 41A05 PDF BibTeX XML Cite \textit{G. Criscuolo} et al., Math. Comput. 55, No. 191, 197--212 (1990; Zbl 0722.41005) Full Text: DOI
Rabinowitz, Philip; Elhay, Sylvan; Kautsky, Jaroslav Empirical mathematics: The first Patterson extension of Gauss-Kronrod rules. (English) Zbl 0707.65010 Int. J. Comput. Math. 36, No. 1-2, 119-129 (1990). Reviewer: S.Filippi MSC: 65D32 41A55 PDF BibTeX XML Cite \textit{P. Rabinowitz} et al., Int. J. Comput. Math. 36, No. 1--2, 119--129 (1990; Zbl 0707.65010) Full Text: DOI
Monegato, G.; Lepora, P. On the numerical resolution of the generalized airfoil equation with Possio kernel. (English) Zbl 0695.65079 Numer. Math. 56, No. 8, 775-787 (1990). Reviewer: S.Spassov MSC: 65R20 45E10 76B10 PDF BibTeX XML Cite \textit{G. Monegato} and \textit{P. Lepora}, Numer. Math. 56, No. 8, 775--787 (1990; Zbl 0695.65079) Full Text: DOI EuDML
Peherstorfer, Franz Weight functions admitting repeated positive Kronrod quadrature. (English) Zbl 0693.41028 BIT 30, No. 1, 145-151 (1990). MSC: 41A55 PDF BibTeX XML Cite \textit{F. Peherstorfer}, BIT 30, No. 1, 145--151 (1990; Zbl 0693.41028) Full Text: DOI
Palamara Orsi, Annamaria Nested quadrature rules for Cauchy principal value integrals. (English) Zbl 0677.65017 J. Comput. Appl. Math. 25, No. 3, 251-266 (1989). Reviewer: D.Acu MSC: 65D32 41A55 41A63 30E20 PDF BibTeX XML Cite \textit{A. Palamara Orsi}, J. Comput. Appl. Math. 25, No. 3, 251--266 (1989; Zbl 0677.65017) Full Text: DOI
Gautschi, Walter; Notaris, Sotorios E. Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type. (English) Zbl 0677.41028 J. Comput. Appl. Math. 25, No. 2, 199-224 (1989). Reviewer: J.Kofron MSC: 41A55 65D30 PDF BibTeX XML Cite \textit{W. Gautschi} and \textit{S. E. Notaris}, J. Comput. Appl. Math. 25, No. 2, 199--224 (1989; Zbl 0677.41028) Full Text: DOI
Gautschi, Walter; Rivlin, Theodore J. A family of Gauss-Kronrod quadrature formulae. (English) Zbl 0699.65016 Math. Comput. 51, No. 184, 749-754 (1988). MSC: 65D32 41A55 PDF BibTeX XML Cite \textit{W. Gautschi} and \textit{T. J. Rivlin}, Math. Comput. 51, No. 184, 749--754 (1988; Zbl 0699.65016) Full Text: DOI
Gautschi, Walter; Notaris, Sotirios E. An algebraic study of Gauss-Kronrod quadrature formulae for Jacobi weight functions. (English) Zbl 0654.65017 Math. Comput. 51, No. 183, 231-248 (1988). Reviewer: G.Opfer MSC: 65D32 41A55 33C45 PDF BibTeX XML Cite \textit{W. Gautschi} and \textit{S. E. Notaris}, Math. Comput. 51, No. 183, 231--248 (1988; Zbl 0654.65017) Full Text: DOI
Caliò, Franca; Marchetti, Elena Derivation and implementation of an algorithm for singular integrals. (English) Zbl 0618.65011 Computing 38, 235-245 (1987). MSC: 65D32 41A55 30E20 26-04 PDF BibTeX XML Cite \textit{F. Caliò} and \textit{E. Marchetti}, Computing 38, 235--245 (1987; Zbl 0618.65011) Full Text: DOI
Rabinowitz, P. A stable Gauss-Kronrod algorithm for Cauchy principal-value integrals. (English) Zbl 0625.65011 Comput. Math. Appl., Part B 12, 1249-1254 (1986). Reviewer: M.Reimer MSC: 65D32 41A55 30E20 PDF BibTeX XML Cite \textit{P. Rabinowitz}, Comput. Math. Appl., Part B 12, 1249--1254 (1986; Zbl 0625.65011)
Dagnino, Catterina; Fiorentino, Cinzia Computation of nodes and weights of extended Gaussian rules. (English) Zbl 0522.65012 Computing 32, 271-278 (1984). MSC: 65D32 41A55 PDF BibTeX XML Cite \textit{C. Dagnino} and \textit{C. Fiorentino}, Computing 32, 271--278 (1984; Zbl 0522.65012) Full Text: DOI
Dagnino, Catterina Extended product integration rules. (English) Zbl 0527.65016 BIT 23, 488-499 (1983). MSC: 65D32 65T40 30E20 42A16 PDF BibTeX XML Cite \textit{C. Dagnino}, BIT 23, 488--499 (1983; Zbl 0527.65016) Full Text: DOI