Laudadio, Teresa; Mastronardi, Nicola; Van Dooren, Paul On computing modified moments for half-range Hermite weights. (English) Zbl 07807009 Numer. Algorithms 95, No. 3, 1435-1457 (2024). Reviewer: Steven B. Damelin (Ann Arbor) MSC: 65D32 65F05 33C45 PDFBibTeX XMLCite \textit{T. Laudadio} et al., Numer. Algorithms 95, No. 3, 1435--1457 (2024; Zbl 07807009) Full Text: DOI OA License
Spalević, Miodrag M. Modified anti-Gaussian quadrature formulae of Chebyshev type. (English) Zbl 07807005 Numer. Algorithms 95, No. 3, 1347-1357 (2024). MSC: 65D30 41A55 33C45 65D32 PDFBibTeX XMLCite \textit{M. M. Spalević}, Numer. Algorithms 95, No. 3, 1347--1357 (2024; Zbl 07807005) Full Text: DOI
García-Ardila, Juan C.; Marriaga, Misael E. Approximation by polynomials in Sobolev spaces associated with classical moment functionals. (English) Zbl 07785649 Numer. Algorithms 95, No. 1, 285-318 (2024). MSC: 41A10 41A25 42C05 42C10 33C45 PDFBibTeX XMLCite \textit{J. C. García-Ardila} and \textit{M. E. Marriaga}, Numer. Algorithms 95, No. 1, 285--318 (2024; Zbl 07785649) Full Text: DOI OA License
Verma, Manuj; Priyadarshi, Amit Dimensions of new fractal functions and associated measures. (English) Zbl 07736710 Numer. Algorithms 94, No. 2, 817-846 (2023). MSC: 65-XX 28A80 33C47 41A30 PDFBibTeX XMLCite \textit{M. Verma} and \textit{A. Priyadarshi}, Numer. Algorithms 94, No. 2, 817--846 (2023; Zbl 07736710) Full Text: DOI
Kar, Pinaki Prasad; Gochhayat, Priyabrat Interlacing and bounds of zeros of quasi-orthogonal little \(q\)-Jacobi polynomials. (English) Zbl 07694963 Numer. Algorithms 93, No. 3, 1157-1170 (2023). MSC: 65-XX 33C45 33D15 33D45 PDFBibTeX XMLCite \textit{P. P. Kar} and \textit{P. Gochhayat}, Numer. Algorithms 93, No. 3, 1157--1170 (2023; Zbl 07694963) Full Text: DOI
Vasconcelos, P. B.; Roman, J. E.; Matos, J. M. A. Solving differential eigenproblems via the spectral Tau method. (English) Zbl 07676502 Numer. Algorithms 92, No. 3, 1789-1811 (2023). MSC: 65L15 65L60 65F15 33C45 34B24 PDFBibTeX XMLCite \textit{P. B. Vasconcelos} et al., Numer. Algorithms 92, No. 3, 1789--1811 (2023; Zbl 07676502) Full Text: DOI
Kar, Pinaki Prasad; Jordaan, Kerstin; Gochhayat, Priyabrat Stieltjes interlacing of zeros of little \(q\)-Jacobi and \(q\)-Laguerre polynomials from different sequences. (English) Zbl 07644408 Numer. Algorithms 92, No. 1, 723-746 (2023). MSC: 65-XX 33D15 33D45 PDFBibTeX XMLCite \textit{P. P. Kar} et al., Numer. Algorithms 92, No. 1, 723--746 (2023; Zbl 07644408) Full Text: DOI
Hermoso, Carlos; Huertas, Edmundo J.; Lastra, Alberto; Marcellán, Francisco Higher-order recurrence relations, Sobolev-type inner products and matrix factorizations. (English) Zbl 1527.33004 Numer. Algorithms 92, No. 1, 665-692 (2023). Reviewer: Sonia Pérez Díaz (Madrid) MSC: 33C45 33C47 42C05 15A23 PDFBibTeX XMLCite \textit{C. Hermoso} et al., Numer. Algorithms 92, No. 1, 665--692 (2023; Zbl 1527.33004) Full Text: DOI arXiv
Doliwa, Adam; Siemaszko, Artur Integrability and geometry of the Wynn recurrence. (English) Zbl 07644402 Numer. Algorithms 92, No. 1, 571-596 (2023). MSC: 65-XX 41A21 37N30 37K20 37K60 65Q30 51A20 42C05 PDFBibTeX XMLCite \textit{A. Doliwa} and \textit{A. Siemaszko}, Numer. Algorithms 92, No. 1, 571--596 (2023; Zbl 07644402) Full Text: DOI arXiv
Chen, Xiao-Min; Chang, Xiang-Ke; He, Yi; Hu, Xing-Biao Generalized discrete Lotka-Volterra equation, orthogonal polynomials and generalized epsilon algorithm. (English) Zbl 1510.37113 Numer. Algorithms 92, No. 1, 335-375 (2023). MSC: 37K60 37K20 39A14 39A36 33C45 15A15 PDFBibTeX XMLCite \textit{X.-M. Chen} et al., Numer. Algorithms 92, No. 1, 335--375 (2023; Zbl 1510.37113) Full Text: DOI
Bracciali, Cleonice F.; Piñar, Miguel A. On multivariate orthogonal polynomials and elementary symmetric functions. (English) Zbl 07644388 Numer. Algorithms 92, No. 1, 183-206 (2023). MSC: 65-XX 42C05 33C50 PDFBibTeX XMLCite \textit{C. F. Bracciali} and \textit{M. A. Piñar}, Numer. Algorithms 92, No. 1, 183--206 (2023; Zbl 07644388) Full Text: DOI
Gautschi, Walter Another look at polynomials orthogonal relative to exponential integral weight functions. (English) Zbl 07621823 Numer. Algorithms 91, No. 4, 1547-1557 (2022). MSC: 65D30 33C47 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 91, No. 4, 1547--1557 (2022; Zbl 07621823) Full Text: DOI
Gautschi, Walter; Milovanović, Gradimir V. Orthogonal polynomials relative to weight functions of Prudnikov type. (English) Zbl 1490.33004 Numer. Algorithms 90, No. 1, 263-270 (2022). Reviewer: C. L. Parihar (Indore) MSC: 33C47 15B52 33-04 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{G. V. Milovanović}, Numer. Algorithms 90, No. 1, 263--270 (2022; Zbl 1490.33004) Full Text: DOI
Zaky, Mahmoud A.; Abo-Gabal, Howayda; Hafez, Ramy M.; Doha, Eid H. Computational and theoretical aspects of Romanovski-Bessel polynomials and their applications in spectral approximations. (English) Zbl 1496.42037 Numer. Algorithms 89, No. 4, 1567-1601 (2022). Reviewer: M. Abdessadek Saib (Tebessa) MSC: 42C05 33C45 94A11 65D30 34B24 46E35 PDFBibTeX XMLCite \textit{M. A. Zaky} et al., Numer. Algorithms 89, No. 4, 1567--1601 (2022; Zbl 1496.42037) Full Text: DOI
Van Buggenhout, Niel; Van Barel, Marc; Vandebril, Raf Generation of orthogonal rational functions by procedures for structured matrices. (English) Zbl 1480.65103 Numer. Algorithms 89, No. 2, 551-582 (2022). MSC: 65F60 65F18 30C10 PDFBibTeX XMLCite \textit{N. Van Buggenhout} et al., Numer. Algorithms 89, No. 2, 551--582 (2022; Zbl 1480.65103) Full Text: DOI arXiv Link
Terekhov, Andrew V. Generating the Laguerre expansion coefficients by solving a one-dimensional transport equation. (English) Zbl 07456978 Numer. Algorithms 89, No. 1, 303-322 (2022). MSC: 65Mxx 33C45 PDFBibTeX XMLCite \textit{A. V. Terekhov}, Numer. Algorithms 89, No. 1, 303--322 (2022; Zbl 07456978) Full Text: DOI arXiv
Gautschi, Walter; Milovanović, Gradimir V. Orthogonal polynomials relative to a generalized Marchenko-Pastur probability measure. (English) Zbl 1486.33015 Numer. Algorithms 88, No. 3, 1233-1249 (2021). MSC: 33C47 15B52 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{G. V. Milovanović}, Numer. Algorithms 88, No. 3, 1233--1249 (2021; Zbl 1486.33015) Full Text: DOI
Tian, Yan Barycentric prolate interpolation and pseudospectral differentiation. (English) Zbl 1519.65059 Numer. Algorithms 88, No. 2, 793-811 (2021). Reviewer: Juan Carlos Mũnoz Grajales (Santiago de Cali) MSC: 65N35 41A10 41A25 42C05 65F08 65F10 65D25 35J05 PDFBibTeX XMLCite \textit{Y. Tian}, Numer. Algorithms 88, No. 2, 793--811 (2021; Zbl 1519.65059) Full Text: DOI
Pozza, Stefano; Pranić, Miroslav The Gauss quadrature for general linear functionals, Lanczos algorithm, and minimal partial realization. (English) Zbl 1486.65030 Numer. Algorithms 88, No. 2, 647-678 (2021). MSC: 65D30 65D32 PDFBibTeX XMLCite \textit{S. Pozza} and \textit{M. Pranić}, Numer. Algorithms 88, No. 2, 647--678 (2021; Zbl 1486.65030) Full Text: DOI arXiv
Yu, Xuhong; Ye, Xueqin; Wang, Zhongqing A fast solver of Legendre-Laguerre spectral element method for the Camassa-Holm equation. (English) Zbl 1484.65278 Numer. Algorithms 88, No. 1, 1-23 (2021). MSC: 65M70 35Q35 33C45 65M50 PDFBibTeX XMLCite \textit{X. Yu} et al., Numer. Algorithms 88, No. 1, 1--23 (2021; Zbl 1484.65278) Full Text: DOI
Gil, Amparo; Segura, Javier; Temme, Nico M. Fast and reliable high-accuracy computation of Gauss-Jacobi quadrature. (English) Zbl 1472.65033 Numer. Algorithms 87, No. 4, 1391-1419 (2021). MSC: 65D32 33C45 PDFBibTeX XMLCite \textit{A. Gil} et al., Numer. Algorithms 87, No. 4, 1391--1419 (2021; Zbl 1472.65033) Full Text: DOI arXiv
Lizarte, Fátima; Pérez, Teresa E.; Piñar, Miguel A. The radial part of a class of Sobolev polynomials on the unit ball. (English) Zbl 1473.65016 Numer. Algorithms 87, No. 4, 1369-1389 (2021). MSC: 65D15 33C50 42C05 PDFBibTeX XMLCite \textit{F. Lizarte} et al., Numer. Algorithms 87, No. 4, 1369--1389 (2021; Zbl 1473.65016) Full Text: DOI
Carnicer, Jésus Miguel; Mainar, Esmeralda; Peña, Juan Manuel Stability properties of disk polynomials. (English) Zbl 1464.41002 Numer. Algorithms 87, No. 1, 119-135 (2021). Reviewer: Devendra Kumar (Al-Baha) MSC: 41A10 33C50 41A63 65F35 PDFBibTeX XMLCite \textit{J. M. Carnicer} et al., Numer. Algorithms 87, No. 1, 119--135 (2021; Zbl 1464.41002) Full Text: DOI
Wang, Ying; Liu, Fawang; Mei, Liquan; Anh, Vo V. A novel alternating-direction implicit spectral Galerkin method for a multi-term time-space fractional diffusion equation in three dimensions. (English) Zbl 1471.65166 Numer. Algorithms 86, No. 4, 1443-1474 (2021). MSC: 65M70 65M60 65M06 65M12 65M15 42C10 35Q60 35R11 PDFBibTeX XMLCite \textit{Y. Wang} et al., Numer. Algorithms 86, No. 4, 1443--1474 (2021; Zbl 1471.65166) Full Text: DOI
Spalević, Miodrag M. A note on generalized averaged Gaussian formulas for a class of weight functions. (English) Zbl 1453.65056 Numer. Algorithms 85, No. 3, 977-993 (2020). MSC: 65D32 33C45 PDFBibTeX XMLCite \textit{M. M. Spalević}, Numer. Algorithms 85, No. 3, 977--993 (2020; Zbl 1453.65056) Full Text: DOI
Bihun, Oksana; Driver, Kathy Orthogonal sequences constructed from quasi-orthogonal ultraspherical polynomials. (English) Zbl 1458.33007 Numer. Algorithms 85, No. 2, 503-522 (2020). Reviewer: Adhemar Bultheel (Leuven) MSC: 33C50 42C05 PDFBibTeX XMLCite \textit{O. Bihun} and \textit{K. Driver}, Numer. Algorithms 85, No. 2, 503--522 (2020; Zbl 1458.33007) Full Text: DOI arXiv
Bracciali, Cleonice F.; Pereira, Junior A.; Ranga, A. Sri Quadrature rules from a \(R_{II}\) type recurrence relation and associated quadrature rules on the unit circle. (English) Zbl 1433.42028 Numer. Algorithms 83, No. 3, 1029-1061 (2020). MSC: 42C05 58C40 65D32 PDFBibTeX XMLCite \textit{C. F. Bracciali} et al., Numer. Algorithms 83, No. 3, 1029--1061 (2020; Zbl 1433.42028) Full Text: DOI arXiv
Yu, Hao; Wu, Boying; Zhang, Dazhi The Laguerre-Hermite spectral methods for the time-fractional sub-diffusion equations on unbounded domains. (English) Zbl 1447.65103 Numer. Algorithms 82, No. 4, 1221-1250 (2019). Reviewer: Srinivasan Natesan (Assam) MSC: 65M70 65M60 65M12 65M15 33C45 35R11 26A33 PDFBibTeX XMLCite \textit{H. Yu} et al., Numer. Algorithms 82, No. 4, 1221--1250 (2019; Zbl 1447.65103) Full Text: DOI
Huertas, Edmundo J.; Soria-Lorente, Anier New analytic properties of nonstandard Sobolev-type Charlier orthogonal polynomials. (English) Zbl 1420.33003 Numer. Algorithms 82, No. 1, 41-68 (2019). MSC: 33C47 PDFBibTeX XMLCite \textit{E. J. Huertas} and \textit{A. Soria-Lorente}, Numer. Algorithms 82, No. 1, 41--68 (2019; Zbl 1420.33003) Full Text: DOI arXiv
Gautschi, Walter Correction to: “Sub-range Jacobi polynomials”. (English) Zbl 1454.65013 Numer. Algorithms 81, No. 2, 771 (2019). MSC: 65D20 33C45 33F05 65D32 41A55 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 81, No. 2, 771 (2019; Zbl 1454.65013) Full Text: DOI
Ezz-Eldien, S. S.; Doha, E. H. Fast and precise spectral method for solving pantograph type Volterra integro-differential equations. (English) Zbl 1447.65014 Numer. Algorithms 81, No. 1, 57-77 (2019). Reviewer: Kai Diethelm (Schweinfurt) MSC: 65L60 33C45 45J05 PDFBibTeX XMLCite \textit{S. S. Ezz-Eldien} and \textit{E. H. Doha}, Numer. Algorithms 81, No. 1, 57--77 (2019; Zbl 1447.65014) Full Text: DOI
Driver, Kathy; Jordaan, Kerstin Zeros of Jacobi polynomials \(P_{n}^{(\alpha ,\beta)} \), \(- 2 < \alpha\), \(\beta < -1\). (English) Zbl 1404.33006 Numer. Algorithms 79, No. 4, 1075-1085 (2018). Reviewer: Peter Massopust (München) MSC: 33C45 42C05 PDFBibTeX XMLCite \textit{K. Driver} and \textit{K. Jordaan}, Numer. Algorithms 79, No. 4, 1075--1085 (2018; Zbl 1404.33006) Full Text: DOI
Gautschi, Walter On the zeros of subrange Jacobi polynomials. (English) Zbl 1403.33009 Numer. Algorithms 79, No. 3, 759-768 (2018). Reviewer: Richard B. Paris (Dundee) MSC: 33C47 65D20 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 79, No. 3, 759--768 (2018; Zbl 1403.33009) Full Text: DOI
Fidalgo, Ulises; Miña-Díaz, Erwin Convergent interpolatory quadrature rules and orthogonal polynomials of varying measures. (English) Zbl 1415.65054 Numer. Algorithms 79, No. 2, 423-435 (2018). MSC: 65D30 33C45 41A55 PDFBibTeX XMLCite \textit{U. Fidalgo} and \textit{E. Miña-Díaz}, Numer. Algorithms 79, No. 2, 423--435 (2018; Zbl 1415.65054) Full Text: DOI
Tomović, Tatjana V.; Stanić, Marija P. Construction of the optimal set of two or three quadrature rules in the sense of Borges. (English) Zbl 1397.65039 Numer. Algorithms 78, No. 4, 1087-1109 (2018). MSC: 65D32 42C05 PDFBibTeX XMLCite \textit{T. V. Tomović} and \textit{M. P. Stanić}, Numer. Algorithms 78, No. 4, 1087--1109 (2018; Zbl 1397.65039) Full Text: DOI
Bialecki, Bernard; Karageorghis, Andreas A Legendre spectral quadrature Galerkin method for the Cauchy-Navier equations of elasticity with variable coefficients. (English) Zbl 1457.65230 Numer. Algorithms 77, No. 2, 491-516 (2018). MSC: 65N35 65N22 65F08 65F10 65N12 42C10 74B05 74S25 35Q74 PDFBibTeX XMLCite \textit{B. Bialecki} and \textit{A. Karageorghis}, Numer. Algorithms 77, No. 2, 491--516 (2018; Zbl 1457.65230) Full Text: DOI
Gautschi, Walter Polynomials orthogonal with respect to cardinal B-spline weight functions. (English) Zbl 1380.65050 Numer. Algorithms 76, No. 4, 1099-1107 (2017). MSC: 65D20 65G30 42C05 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 76, No. 4, 1099--1107 (2017; Zbl 1380.65050) 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
Liu, Fu-jun; Li, Hui-yuan; Wang, Zhong-qing Spectral methods using generalized Laguerre functions for second and fourth order problems. (English) Zbl 1385.65048 Numer. Algorithms 75, No. 4, 1005-1040 (2017). Reviewer: Vu Hoang Linh (Hanoi) MSC: 65L10 33C45 65L60 65L70 34B05 65L20 65N35 35J25 PDFBibTeX XMLCite \textit{F.-j. Liu} et al., Numer. Algorithms 75, No. 4, 1005--1040 (2017; Zbl 1385.65048) Full Text: DOI
Lewanowicz, Stanisław; Keller, Paweł; Woźny, Paweł Constrained approximation of rational triangular Bézier surfaces by polynomial triangular Bézier surfaces. (English) Zbl 1392.41004 Numer. Algorithms 75, No. 1, 93-111 (2017). Reviewer: Jiří Hrivnák (Praha) MSC: 41A10 65D17 65D30 33D45 PDFBibTeX XMLCite \textit{S. Lewanowicz} et al., Numer. Algorithms 75, No. 1, 93--111 (2017; Zbl 1392.41004) Full Text: DOI arXiv
Themistoclakis, Woula; Van Barel, Marc Generalized de la Vallée Poussin approximations on [-1, 1]. (English) Zbl 1366.41008 Numer. Algorithms 75, No. 1, 1-31 (2017). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 41A10 33C45 65D99 PDFBibTeX XMLCite \textit{W. Themistoclakis} and \textit{M. Van Barel}, Numer. Algorithms 75, No. 1, 1--31 (2017; Zbl 1366.41008) Full Text: DOI Link
Gautschi, Walter Erratum to: “Sub-range Jacobi polynomials”. (English) Zbl 1472.65027 Numer. Algorithms 74, No. 2, 637 (2017). MSC: 65D20 33C45 33F05 65D32 41A55 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 74, No. 2, 637 (2017; Zbl 1472.65027) Full Text: DOI
Castillo, K.; Marcellán, F.; Rebocho, M. N. Zeros of para-orthogonal polynomials and linear spectral transformations on the unit circle. (English) Zbl 1350.42048 Numer. Algorithms 71, No. 3, 699-714 (2016). Reviewer: María-José Cantero (Zaragoza) MSC: 42C05 30C15 PDFBibTeX XMLCite \textit{K. Castillo} et al., Numer. Algorithms 71, No. 3, 699--714 (2016; Zbl 1350.42048) Full Text: DOI
Ivanov, Kamen G.; Petrushev, Pencho P. Highly effective stable evaluation of bandlimited functions on the sphere. (English) Zbl 1350.65151 Numer. Algorithms 71, No. 3, 585-611 (2016). Reviewer: Xiaosheng Zhuang (Hong Kong) MSC: 65T40 33C55 42A10 42C10 65D20 65T50 PDFBibTeX XMLCite \textit{K. G. Ivanov} and \textit{P. P. Petrushev}, Numer. Algorithms 71, No. 3, 585--611 (2016; Zbl 1350.65151) Full Text: DOI
Filipuk, Galina; Haneczok, Maciej; Van Assche, Walter Computing recurrence coefficients of multiple orthogonal polynomials. (English) Zbl 1328.65265 Numer. Algorithms 70, No. 3, 519-543 (2015). Reviewer: Manfred Tasche (Rostock) MSC: 65Q30 42C05 65D20 33F05 PDFBibTeX XMLCite \textit{G. Filipuk} et al., Numer. Algorithms 70, No. 3, 519--543 (2015; Zbl 1328.65265) Full Text: DOI arXiv Link
Gautschi, Walter Polynomials orthogonal with respect to exponential integrals. (English) Zbl 1329.33016 Numer. Algorithms 70, No. 1, 215-226 (2015). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C47 65D30 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 70, No. 1, 215--226 (2015; Zbl 1329.33016) Full Text: DOI
Miña-Díaz, Erwin On the leading coefficient of polynomials orthogonal over domains with corners. (English) Zbl 1326.33015 Numer. Algorithms 70, No. 1, 1-8 (2015). Reviewer: Yuri A. Farkov (Moscow) MSC: 33C45 30E15 PDFBibTeX XMLCite \textit{E. Miña-Díaz}, Numer. Algorithms 70, No. 1, 1--8 (2015; Zbl 1326.33015) Full Text: DOI arXiv
Smoktunowicz, Alicja; Smoktunowicz, Agata; Pawelec, Ewa The three-term recursion for Chebyshev polynomials is mixed forward-backward stable. (English) Zbl 1326.65031 Numer. Algorithms 69, No. 4, 785-794 (2015). Reviewer: Yuri A. Farkov (Moscow) MSC: 65D20 65G50 65H04 33C45 65Q30 PDFBibTeX XMLCite \textit{A. Smoktunowicz} et al., Numer. Algorithms 69, No. 4, 785--794 (2015; Zbl 1326.65031) Full Text: DOI arXiv
Area, Iván; Dimitrov, Dimitar K.; Godoy, Eduardo; Paschoa, Vanessa Bounds for the zeros of symmetric Kravchuk polynomials. (English) Zbl 1320.33012 Numer. Algorithms 69, No. 3, 611-624 (2015). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 33C45 26C10 PDFBibTeX XMLCite \textit{I. Area} et al., Numer. Algorithms 69, No. 3, 611--624 (2015; Zbl 1320.33012) Full Text: DOI
Parvizi, M.; Eslahchi, M. R.; Dehghan, Mehdi Numerical solution of fractional advection-diffusion equation with a nonlinear source term. (English) Zbl 1319.35290 Numer. Algorithms 68, No. 3, 601-629 (2015). Reviewer: Răzvan Răducanu (Iaşi) MSC: 35R11 26A33 33C45 65L60 65M70 PDFBibTeX XMLCite \textit{M. Parvizi} et al., Numer. Algorithms 68, No. 3, 601--629 (2015; Zbl 1319.35290) Full Text: DOI
Dunster, T. M.; Gil, A.; Segura, J.; Temme, N. M. Computation of a numerically satisfactory pair of solutions of the differential equation for conical functions of non-negative integer orders. (English) Zbl 1311.65024 Numer. Algorithms 68, No. 3, 497-509 (2015). MSC: 65D20 33C45 33F05 PDFBibTeX XMLCite \textit{T. M. Dunster} et al., Numer. Algorithms 68, No. 3, 497--509 (2015; Zbl 1311.65024) Full Text: DOI arXiv Link
Erb, Wolfgang Accelerated Landweber methods based on co-dilated orthogonal polynomials. (English) Zbl 1312.65042 Numer. Algorithms 68, No. 2, 229-260 (2015). Reviewer: Constantin Popa (Constanţa) MSC: 65F10 42C05 PDFBibTeX XMLCite \textit{W. Erb}, Numer. Algorithms 68, No. 2, 229--260 (2015; Zbl 1312.65042) Full Text: DOI arXiv
Dueñas, Herbert; Garza, Luis E.; Piñar, Miguel A higher order Sobolev-type inner product for orthogonal polynomials in several variables. (English) Zbl 1432.42021 Numer. Algorithms 68, No. 1, 35-46 (2015). MSC: 42C05 33C47 PDFBibTeX XMLCite \textit{H. Dueñas} et al., Numer. Algorithms 68, No. 1, 35--46 (2015; Zbl 1432.42021) Full Text: DOI
Lun, Yen Chi; Rafaeli, Fernando Rodrigo Inequalities for zeros of Jacobi polynomials via Sturm’s theorem: Gautschi’s conjectures. (English) Zbl 1306.33020 Numer. Algorithms 67, No. 3, 549-563 (2014). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C45 34C10 PDFBibTeX XMLCite \textit{Y. C. Lun} and \textit{F. R. Rafaeli}, Numer. Algorithms 67, No. 3, 549--563 (2014; Zbl 1306.33020) Full Text: DOI
Atkinson, Kendall; Chien, David; Hansen, Olaf Evaluating polynomials over the unit disk and the unit ball. (English) Zbl 1304.65111 Numer. Algorithms 67, No. 4, 691-711 (2014). MSC: 65D20 33C45 33F05 PDFBibTeX XMLCite \textit{K. Atkinson} et al., Numer. Algorithms 67, No. 4, 691--711 (2014; Zbl 1304.65111) Full Text: DOI arXiv
Derevyagin, Maxim; Marcellán, Francisco A note on the Geronimus transformation and Sobolev orthogonal polynomials. (English) Zbl 1306.42043 Numer. Algorithms 67, No. 2, 271-287 (2014). Reviewer: Teresa A. Mesquita (Vila Nova de Famalicão) MSC: 42C05 15A23 PDFBibTeX XMLCite \textit{M. Derevyagin} and \textit{F. Marcellán}, Numer. Algorithms 67, No. 2, 271--287 (2014; Zbl 1306.42043) Full Text: DOI arXiv Link
Alfaro, Manuel; Peña, Ana; Pérez, Teresa E.; Rezola, M. Luisa On linearly related orthogonal polynomials in several variables. (English) Zbl 1295.42006 Numer. Algorithms 66, No. 3, 525-553 (2014). MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{M. Alfaro} et al., Numer. Algorithms 66, No. 3, 525--553 (2014; Zbl 1295.42006) Full Text: DOI arXiv
Maroni, Pascal; da Rocha, Zélia Connection coefficients for orthogonal polynomials: Symbolic computations, verifications and demonstrations in the Mathematica language. (English) Zbl 1296.68201 Numer. Algorithms 63, No. 3, 507-520 (2013). MSC: 68W30 33C45 33D45 42C05 33F10 PDFBibTeX XMLCite \textit{P. Maroni} and \textit{Z. da Rocha}, Numer. Algorithms 63, No. 3, 507--520 (2013; Zbl 1296.68201) Full Text: DOI
Gautschi, Walter Repeated modifications of orthogonal polynomials by linear divisors. (English) Zbl 1269.65024 Numer. Algorithms 63, No. 2, 369-383 (2013). MSC: 65D20 65D32 33C47 33F05 41A55 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 63, No. 2, 369--383 (2013; Zbl 1269.65024) Full Text: DOI
Hagler, Brian A. Anchoring and steering Gaussian quadrature for positive definite strong moment functionals. (English) Zbl 1259.65055 Numer. Algorithms 62, No. 1, 45-58 (2013). MSC: 65D32 41A55 42C05 PDFBibTeX XMLCite \textit{B. A. Hagler}, Numer. Algorithms 62, No. 1, 45--58 (2013; Zbl 1259.65055) Full Text: DOI
Cuyt, Annie; Yaman, Irem; Ibrahimoglu, Bayram Ali; Benouahmane, Brahim Radial orthogonality and Lebesgue constants on the disk. (English) Zbl 1259.65011 Numer. Algorithms 61, No. 2, 291-313 (2012). Reviewer: Manfred Tasche (Rostock) MSC: 65D05 42C05 33C50 PDFBibTeX XMLCite \textit{A. Cuyt} et al., Numer. Algorithms 61, No. 2, 291--313 (2012; Zbl 1259.65011) Full Text: DOI
Gautschi, Walter Sub-range Jacobi polynomials. (English) Zbl 1257.65011 Numer. Algorithms 61, No. 4, 649-657 (2012); erratum ibid. 74, No. 2, 637 (2017); correction ibid. 81, No. 2, 771 (2019). MSC: 65D20 33C45 33F05 65D32 41A55 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 61, No. 4, 649--657 (2012; Zbl 1257.65011) Full Text: DOI
El-Daou, Mohamed K.; Al-Hamad, Khaled M. Computation of the canonical polynomials and applications to some optimal control problems. (English) Zbl 1257.65039 Numer. Algorithms 61, No. 4, 545-566 (2012). MSC: 65L05 65K10 34A30 49J15 49M25 65L60 PDFBibTeX XMLCite \textit{M. K. El-Daou} and \textit{K. M. Al-Hamad}, Numer. Algorithms 61, No. 4, 545--566 (2012; Zbl 1257.65039) Full Text: DOI
Capobianco, Maria Rosaria; Criscuolo, Giuliana Convergence and stability of a new quadrature rule for evaluating Hilbert transform. (English) Zbl 1262.65194 Numer. Algorithms 60, No. 4, 579-592 (2012). Reviewer: Ivan Secrieru (Chişinău) MSC: 65R10 65D32 33C45 44A15 41A55 PDFBibTeX XMLCite \textit{M. R. Capobianco} and \textit{G. Criscuolo}, Numer. Algorithms 60, No. 4, 579--592 (2012; Zbl 1262.65194) Full Text: DOI
Castillo, K.; Garza, L. E.; Marcellán, F. Zeros of Sobolev orthogonal polynomials on the unit circle. (English) Zbl 1254.33012 Numer. Algorithms 60, No. 4, 669-681 (2012). Reviewer: Chrysoula G. Kokologiannaki (Patras) MSC: 33C47 42C05 PDFBibTeX XMLCite \textit{K. Castillo} et al., Numer. Algorithms 60, No. 4, 669--681 (2012; Zbl 1254.33012) Full Text: DOI
Themistoclakis, Woula Uniform approximation on \([-1,1]\) via discrete de la Vallée Poussin means. (English) Zbl 1321.41005 Numer. Algorithms 60, No. 4, 593-612 (2012). Reviewer: H. P. Dikshit (Bhopal) MSC: 41A10 65D05 33C45 PDFBibTeX XMLCite \textit{W. Themistoclakis}, Numer. Algorithms 60, No. 4, 593--612 (2012; Zbl 1321.41005) Full Text: DOI
Marcellán, Francisco; Pinzón-Cortés, Natalia C. (1, 1)-\(q\)-coherent pairs. (English) Zbl 1245.42022 Numer. Algorithms 60, No. 2, 223-239 (2012). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 42C05 33C47 33C45 33D45 33D15 PDFBibTeX XMLCite \textit{F. Marcellán} and \textit{N. C. Pinzón-Cortés}, Numer. Algorithms 60, No. 2, 223--239 (2012; Zbl 1245.42022) Full Text: DOI
Loureiro, Ana Filipa; Maroni, Pascal Polynomial sequences associated with the classical linear functionals. (English) Zbl 1250.33013 Numer. Algorithms 60, No. 2, 297-314 (2012). Reviewer: Alicia Cachafeiro López (Vigo) MSC: 33C45 42C05 11B73 PDFBibTeX XMLCite \textit{A. F. Loureiro} and \textit{P. Maroni}, Numer. Algorithms 60, No. 2, 297--314 (2012; Zbl 1250.33013) Full Text: DOI
Dueñas, Herbert; Huertas, Edmundo J.; Marcellán, Francisco Asymptotic properties of Laguerre-Sobolev type orthogonal polynomials. (English) Zbl 1247.33014 Numer. Algorithms 60, No. 1, 51-73 (2012). Reviewer: Stamatis Koumandos (Nicosia) MSC: 33C45 33E20 30E15 PDFBibTeX XMLCite \textit{H. Dueñas} et al., Numer. Algorithms 60, No. 1, 51--73 (2012; Zbl 1247.33014) Full Text: DOI
Liu, Da-Yan; Gibaru, Olivier; Perruquetti, Wilfrid Error analysis of Jacobi derivative estimators for noisy signals. (English) Zbl 1227.65026 Numer. Algorithms 58, No. 1, 53-83 (2011). Reviewer: Manfred Tasche (Rostock) MSC: 65D25 42C10 60H30 PDFBibTeX XMLCite \textit{D.-Y. Liu} et al., Numer. Algorithms 58, No. 1, 53--83 (2011; Zbl 1227.65026) Full Text: DOI arXiv Link
Beardon, Alan; Driver, Kathy; Jordaan, Kerstin Zeros of polynomials embedded in an orthogonal sequence. (English) Zbl 1242.26013 Numer. Algorithms 57, No. 3, 399-403 (2011). Reviewer: Armin Rainer (Wien) MSC: 26C10 33C45 42C05 PDFBibTeX XMLCite \textit{A. Beardon} et al., Numer. Algorithms 57, No. 3, 399--403 (2011; Zbl 1242.26013) Full Text: DOI Link
Cação, Isabel Complete orthonormal sets of polynomial solutions of the Riesz and Moisil-Teodorescu systems in \(\mathbb R^{3}\). (English) Zbl 1206.30067 Numer. Algorithms 55, No. 2-3, 191-203 (2010). Reviewer: Wolfgang Sprößig (Freiberg) MSC: 30G35 41A10 42C05 PDFBibTeX XMLCite \textit{I. Cação}, Numer. Algorithms 55, No. 2--3, 191--203 (2010; Zbl 1206.30067) Full Text: DOI
Van Barel, Marc; Chesnokov, Andrey A method to compute recurrence relation coefficients for bivariate orthogonal polynomials by unitary matrix transformations. (English) Zbl 1200.65017 Numer. Algorithms 55, No. 2-3, 383-402 (2010). MSC: 65D20 42C05 65F18 65D05 65T40 PDFBibTeX XMLCite \textit{M. Van Barel} and \textit{A. Chesnokov}, Numer. Algorithms 55, No. 2--3, 383--402 (2010; Zbl 1200.65017) Full Text: DOI Link
Delgado, Antonia M.; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A.; Xu, Yuan Orthogonal polynomials in several variables for measures with mass points. (English) Zbl 1205.33020 Numer. Algorithms 55, No. 2-3, 245-264 (2010). Reviewer: Nele De Schepper (Gent) MSC: 33C50 42C05 PDFBibTeX XMLCite \textit{A. M. Delgado} et al., Numer. Algorithms 55, No. 2--3, 245--264 (2010; Zbl 1205.33020) Full Text: DOI arXiv
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
Branquinho, Amílcar; Cotrim, Luis; Foulquié Moreno, Ana Matrix interpretation of multiple orthogonality. (English) Zbl 1200.41012 Numer. Algorithms 55, No. 1, 19-37 (2010). Reviewer: George Stoica (Saint John) MSC: 41A21 PDFBibTeX XMLCite \textit{A. Branquinho} et al., Numer. Algorithms 55, No. 1, 19--37 (2010; Zbl 1200.41012) Full Text: DOI Link
Livermore, Philip W.; Ierley, Glenn R. Quasi-\(L^{p}\) norm orthogonal Galerkin expansions in sums of Jacobi polynomials. (English) Zbl 1197.65027 Numer. Algorithms 54, No. 4, 533-569 (2010). MSC: 65D20 33C45 33F05 PDFBibTeX XMLCite \textit{P. W. Livermore} and \textit{G. R. Ierley}, Numer. Algorithms 54, No. 4, 533--569 (2010; Zbl 1197.65027) Full Text: DOI
Bueno Cachadina, Maria Isabel; Deaño, Alfredo; Tavernetti, Edward A new algorithm for computing the Geronimus transformation with large shifts. (English) Zbl 1191.65039 Numer. Algorithms 54, No. 1, 101-139 (2010). Reviewer: Hang Lau (Montréal) MSC: 65F30 42C05 65Q30 65F22 PDFBibTeX XMLCite \textit{M. I. Bueno Cachadina} et al., Numer. Algorithms 54, No. 1, 101--139 (2010; Zbl 1191.65039) Full Text: DOI
Gautschi, Walter Variable-precision recurrence coefficients for nonstandard orthogonal polynomials. (English) Zbl 1178.65026 Numer. Algorithms 52, No. 3, 409-418 (2009). MSC: 65D20 33-04 33C47 65Y15 33F05 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 52, No. 3, 409--418 (2009; Zbl 1178.65026) Full Text: DOI
Potts, Daniel; Prestin, Jürgen; Vollrath, Antje A fast algorithm for nonequispaced Fourier transforms on the rotation group. (English) Zbl 1179.65167 Numer. Algorithms 52, No. 3, 355-384 (2009). Reviewer: Manfred Tasche (Rostock) MSC: 65T50 42C10 33C55 65Y20 PDFBibTeX XMLCite \textit{D. Potts} et al., Numer. Algorithms 52, No. 3, 355--384 (2009; Zbl 1179.65167) Full Text: DOI
Bultheel, Adhemar; Cantero, Maria-José A matricial computation of rational quadrature formulas on the unit circle. (English) Zbl 1172.65015 Numer. Algorithms 52, No. 1, 47-68 (2009). MSC: 65D32 41A05 42C05 PDFBibTeX XMLCite \textit{A. Bultheel} and \textit{M.-J. Cantero}, Numer. Algorithms 52, No. 1, 47--68 (2009; Zbl 1172.65015) Full Text: DOI Link
Draux, André; Moalla, Borhane; Sadik, Mohamed Generalized qd algorithm and Markov-Bernstein inequalities for Jacobi weight. (English) Zbl 1179.33010 Numer. Algorithms 51, No. 4, 429-447 (2009). Reviewer: Alexei Lukashov (Istanbul) MSC: 33C45 26D05 65F15 42C05 PDFBibTeX XMLCite \textit{A. Draux} et al., Numer. Algorithms 51, No. 4, 429--447 (2009; Zbl 1179.33010) Full Text: DOI
Gautschi, Walter New conjectured inequalities for zeros of Jacobi polynomials. (English) Zbl 1168.33001 Numer. Algorithms 50, No. 3, 293-296 (2009). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 33C45 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 50, No. 3, 293--296 (2009; Zbl 1168.33001) Full Text: DOI
Gautschi, Walter On conjectured inequalities for zeros of Jacobi polynomials. (English) Zbl 1165.33009 Numer. Algorithms 50, No. 1, 93-96 (2009). Reviewer: Francisco Pérez Acosta (La Laguna) MSC: 33C45 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 50, No. 1, 93--96 (2009; Zbl 1165.33009) Full Text: DOI
Segura, Javier Interlacing of the zeros of contiguous hypergeometric functions. (English) Zbl 1171.33008 Numer. Algorithms 49, No. 1-4, 387-407 (2008). Reviewer: Valery V. Karachik (Chelyabinsk) MSC: 33C45 33C05 34K06 PDFBibTeX XMLCite \textit{J. Segura}, Numer. Algorithms 49, No. 1--4, 387--407 (2008; Zbl 1171.33008) Full Text: DOI
Gautschi, Walter; Giordano, Carla Luigi Gatteschi’s work on asymptotics of special functions and their zeros. (English) Zbl 1170.26007 Numer. Algorithms 49, No. 1-4, 11-31 (2008). Reviewer: Thomas Stoll (Waterloo) MSC: 26C10 30C15 33C10 33C15 33C45 41A60 PDFBibTeX XMLCite \textit{W. Gautschi} and \textit{C. Giordano}, Numer. Algorithms 49, No. 1--4, 11--31 (2008; Zbl 1170.26007) Full Text: DOI
Gautschi, Walter On a conjectured inequality for the largest zero of Jacobi polynomials. (English) Zbl 1167.33003 Numer. Algorithms 49, No. 1-4, 195-198 (2008). Reviewer: Andrei A. Kapaev (St. Petersburg) MSC: 33C45 PDFBibTeX XMLCite \textit{W. Gautschi}, Numer. Algorithms 49, No. 1--4, 195--198 (2008; Zbl 1167.33003) Full Text: DOI
Sommariva, Alvise; Vianello, Marco; Zanovello, Renato Nontensorial Clenshaw-Curtis cubature. (English) Zbl 1167.65350 Numer. Algorithms 49, No. 1-4, 409-427 (2008). MSC: 65D32 PDFBibTeX XMLCite \textit{A. Sommariva} et al., Numer. Algorithms 49, No. 1--4, 409--427 (2008; Zbl 1167.65350) Full Text: DOI
Ronveaux, André Orthogonal polynomials—centroid of their zeroes. (English) Zbl 1181.42030 Numer. Algorithms 49, No. 1-4, 373-385 (2008). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 42C05 33C45 PDFBibTeX XMLCite \textit{A. Ronveaux}, Numer. Algorithms 49, No. 1--4, 373--385 (2008; Zbl 1181.42030) Full Text: DOI
Maroni, P.; Mejri, M. The symmetric \(D_{\omega}\)-semi-classical orthogonal polynomials of class one. (English) Zbl 1181.42028 Numer. Algorithms 49, No. 1-4, 251-282 (2008). Reviewer: Renato Alvarez-Nodarse (Sevilla) MSC: 42C05 PDFBibTeX XMLCite \textit{P. Maroni} and \textit{M. Mejri}, Numer. Algorithms 49, No. 1--4, 251--282 (2008; Zbl 1181.42028) Full Text: DOI
Lewanowicz, Stanisław; Woźny, Paweł; Area, Iván; Godoy, Eduardo Multivariate generalized Bernstein polynomials: Identities for orthogonal polynomials of two variables. (English) Zbl 1183.33021 Numer. Algorithms 49, No. 1-4, 199-220 (2008). Reviewer: Thomas Stoll (Marseille) MSC: 33C50 33D50 65D17 PDFBibTeX XMLCite \textit{S. Lewanowicz} et al., Numer. Algorithms 49, No. 1--4, 199--220 (2008; Zbl 1183.33021) Full Text: DOI
Driver, Kathy; Jordaan, Kerstin; Mbuyi, Norbert Interlacing of the zeros of Jacobi polynomials with different parameters. (English) Zbl 1169.30002 Numer. Algorithms 49, No. 1-4, 143-152 (2008). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 30C15 33C45 42C05 PDFBibTeX XMLCite \textit{K. Driver} et al., Numer. Algorithms 49, No. 1--4, 143--152 (2008; Zbl 1169.30002) Full Text: DOI
Qiu, W.-Y.; Wong, R. Global asymptotic expansions of the Laguerre polynomials – a Riemann-Hilbert approach. (English) Zbl 1169.33002 Numer. Algorithms 49, No. 1-4, 331-372 (2008). Reviewer: K. C. Gupta (Jaipur) MSC: 33C45 33C47 33C99 PDFBibTeX XMLCite \textit{W. Y. Qiu} and \textit{R. Wong}, Numer. Algorithms 49, No. 1--4, 331--372 (2008; Zbl 1169.33002) Full Text: DOI
Garza, Luis; Hernández, Javier; Marcellán, Francisco Spectral transformations of measures supported on the unit circle and the Szegő transformation. (English) Zbl 1169.42009 Numer. Algorithms 49, No. 1-4, 169-185 (2008). Reviewer: H.-J. Glaeske (Jena) MSC: 42C05 15A23 PDFBibTeX XMLCite \textit{L. Garza} et al., Numer. Algorithms 49, No. 1--4, 169--185 (2008; Zbl 1169.42009) Full Text: DOI Link
Leopold, Elie Perturbed recurrence relations. III: The general case-some new applications. (English) Zbl 1152.42004 Numer. Algorithms 48, No. 4, 383-402 (2008). Reviewer: Marcel G. de Bruin (Haarlem) MSC: 42C05 33C45 42A05 PDFBibTeX XMLCite \textit{E. Leopold}, Numer. Algorithms 48, No. 4, 383--402 (2008; Zbl 1152.42004) Full Text: DOI
Maroni, P.; da Rocha, Z. Connection coefficients between orthogonal polynomials and the canonical sequence: An approach based on symbolic computation. (English) Zbl 1147.65020 Numer. Algorithms 47, No. 3, 291-314 (2008). Reviewer: R. B. Paris (Dundee) MSC: 65D20 33C45 33F05 PDFBibTeX XMLCite \textit{P. Maroni} and \textit{Z. da Rocha}, Numer. Algorithms 47, No. 3, 291--314 (2008; Zbl 1147.65020) Full Text: DOI
Paszkowski, Stefan Convergence acceleration of orthogonal series. (English) Zbl 1134.65004 Numer. Algorithms 47, No. 1, 35-62 (2008). MSC: 65B10 PDFBibTeX XMLCite \textit{S. Paszkowski}, Numer. Algorithms 47, No. 1, 35--62 (2008; Zbl 1134.65004) Full Text: DOI
Álvarez de Morales, María; Fernández, Lidia; Pérez, Teresa E.; Piñar, Miguel A. On differential properties for bivariate orthogonal polynomials. (English) Zbl 1129.42009 Numer. Algorithms 45, No. 1-4, 153-166 (2007). Reviewer: Roelof Koekoek (Delft) MSC: 42C05 33C50 PDFBibTeX XMLCite \textit{M. Álvarez de Morales} et al., Numer. Algorithms 45, No. 1--4, 153--166 (2007; Zbl 1129.42009) Full Text: DOI
Mantica, Giorgio Fractal measures and polynomial sampling: I.F.S.-Gaussian integration. (English) Zbl 1131.65027 Numer. Algorithms 45, No. 1-4, 269-281 (2007). Reviewer: Dumitru Acu (Sibiu) MSC: 65D32 47B36 28A80 60B10 41A55 PDFBibTeX XMLCite \textit{G. Mantica}, Numer. Algorithms 45, No. 1--4, 269--281 (2007; Zbl 1131.65027) Full Text: DOI
Waldron, Shayne Hermite polynomials on the plane. (English) Zbl 1122.33006 Numer. Algorithms 45, No. 1-4, 231-238 (2007). MSC: 33C45 33D50 06B15 42C15 PDFBibTeX XMLCite \textit{S. Waldron}, Numer. Algorithms 45, No. 1--4, 231--238 (2007; Zbl 1122.33006) Full Text: DOI