Edit Profile (opens in new tab) Gautschi, Walter Compute Distance To: Compute Author ID: gautschi.walter Published as: Gautschi, Walter; Gautschi, W. Homepage: https://www.math.unibas.ch/institut/personen/profil/profil/person/gautschi/index... External Links: MGP · ORCID · Wikidata · ResearchGate · dblp · GND · IdRef Documents Indexed: 217 Publications since 1951, including 9 Books 7 Contributions as Editor · 2 Further Contributions Biographic References: 9 Publications Co-Authors: 44 Co-Authors with 59 Joint Publications 1,377 Co-Co-Authors all top 5 Co-Authors 164 single-authored 15 Milovanović, Gradimir V. 5 Notaris, Sotirios E. 4 Li, Shikang 3 Brezinski, Claude 3 Monegato, Giovanni 3 Reichel, Lothar 3 Sameh, Ahmed H. 2 Caliò, Franca 2 Córdova, Antonio 2 Golub, Gene Howard 2 Gori, Laura 2 Higham, Nicholas J. 2 Marcellán Español, Francisco 2 Marchetti, Elena 2 Ruscheweyh, Stephan 2 Varga, Richard Steven 2 Wimp, Jet 1 Allasia, Giampietro 1 Anderson, L. A. 1 Björk, Åke 1 Butcher, John C. 1 Chan, Raymond Hon-Fu 1 Costabile, Francesco Aldo 1 Davis, Philip J. 1 Flury, Bernhard N. 1 Frontini, Marco 1 Gander, Martin Jakob 1 Gander, Walter 1 Gatteschi, Luigi 1 Giordano, Carla 1 Greenbaum, Anne 1 Greif, Chen 1 Hairer, Ernst 1 Harris, Frank E. 1 Inglese, Gabriele 1 Iserles, Arieh 1 Klein, B. J. 1 Korevaar, Jacob 1 Kovačević, Milan A. 1 Kuijlaars, Arno B. J. 1 Landau, Henry Jacob 1 Landis, Evgenii Mikhailovich 1 Leopardi, Paul Charles 1 Lo Cascio, Maria Laura 1 Lorentzen, Lisa 1 Lynch, Robert E. 1 Mastroianni, Giuseppe 1 Montrone, M. 1 O’Leary, Dianne P. 1 Opfer, Gerhard 1 Pitolli, Francesca 1 Rassias, Themistocles Michael 1 Rivlin, Theodore Joseph 1 Segura, Javier 1 Slavik, Josef 1 Spalević, Miodrag M. 1 Stewart, Gilbert Wright 1 Temme, Nico M. 1 Tychopoulos, E. 1 Van Assche, Walter 1 Waldvogel, Jörg 1 Wanner, Gerhard 1 Yaglom, Isaak Moiseevich 1 Yanagiwara, Hiroki 1 Zhang, Minda all top 5 Serials 26 Mathematics of Computation 26 Numerical Algorithms 20 Numerische Mathematik 15 Journal of Computational and Applied Mathematics 14 BIT 8 ACM Transactions on Mathematical Software 5 ETNA. Electronic Transactions on Numerical Analysis 4 Calcolo 4 SIAM Journal on Numerical Analysis 3 SIAM Journal on Mathematical Analysis 3 SIAM Review 3 Software - Environments - Tools 3 Contemporary Mathematicians 2 Rocky Mountain Journal of Mathematics 2 ZAMP. Zeitschrift für angewandte Mathematik und Physik 2 The Mathematical Intelligencer 2 Commentarii Mathematici Helvetici 2 Journal of Approximation Theory 2 SIAM Journal on Scientific and Statistical Computing 2 Applied Mathematics Letters 2 Aequationes Mathematicae 2 Elemente der Mathematik 2 Annals of Numerical Mathematics 1 Computers & Mathematics with Applications 1 Computer Physics Communications 1 Journal of Research of the National Bureau of Standards 1 Zeitschrift für Angewandte Mathematik und Mechanik (ZAMM) 1 Computing 1 Journal of the Association for Computing Machinery 1 Mathematics and Computers in Simulation 1 Rendiconti del Seminario Matematico 1 Constructive Approximation 1 Atti della Accademia Nazionale dei Lincei. Serie Ottava. Rendiconti. Classe di Scienze Fisiche, Matematiche e Naturali 1 Atti del Seminario Matematico e Fisico dell’Università di Modena 1 Communications of the ACM 1 Linear Algebra and its Applications 1 Applied and Computational Harmonic Analysis 1 Journal of Inequalities and Applications 1 Bollettino della Unione Matematica Italiana. Series V. A 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Rendiconti di Matematica, VI. Serie 1 Mathematical Tables and other Aids to Computation 1 Journal of Mathematics and Physics 1 Rendiconti del Seminario Matematico. Universitá e Politecnico di Torino 1 ISNM. International Series of Numerical Mathematics 1 MAA Studies in Mathematics 1 Proceedings of Symposia in Applied Mathematics 1 Statistics: Textbooks and Monographs 1 Springer Optimization and Its Applications 1 Numerical Mathematics and Scientific Computation all top 5 Fields 147 Numerical analysis (65-XX) 84 Special functions (33-XX) 82 Approximations and expansions (41-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 21 History and biography (01-XX) 12 Functions of a complex variable (30-XX) 11 Linear and multilinear algebra; matrix theory (15-XX) 8 Real functions (26-XX) 8 Integral transforms, operational calculus (44-XX) 7 General and overarching topics; collections (00-XX) 7 Sequences, series, summability (40-XX) 5 Computer science (68-XX) 3 Number theory (11-XX) 2 Ordinary differential equations (34-XX) 2 Geometry (51-XX) 2 Fluid mechanics (76-XX) 1 Dynamical systems and ergodic theory (37-XX) 1 Difference and functional equations (39-XX) 1 Integral equations (45-XX) 1 Relativity and gravitational theory (83-XX) 1 Astronomy and astrophysics (85-XX) 1 Operations research, mathematical programming (90-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 177 Publications have been cited 3,101 times in 2,106 Documents Cited by ▼ Year ▼ Orthogonal polynomials. Computation and approximation. Zbl 1130.42300Gautschi, Walter 394 2004 Numerical integration of ordinary differential equations based on trigonometric polynomials. Zbl 0163.39002Gautschi, Walter 207 1961 Numerical analysis. An introduction. Zbl 0877.65001Gautschi, Walter 185 1997 Computational aspects of three-term recurrence relations. Zbl 0168.15004Gautschi, Walter 184 1967 On generating orthogonal polynomials. Zbl 0482.65011Gautschi, Walter 130 1982 Some elementary inequalities relating to the gamma and incomplete gamma function. Zbl 0094.04104Gautschi, Walter 86 1959 Error bounds for Gaussian quadrature of analytic functions. Zbl 0545.41040Gautschi, Walter; Varga, Richard S. 75 1983 Construction of Gauss-Christoffel quadrature formulas. Zbl 0187.10603Gautschi, Walter 73 1968 Algorithm 726: ORTHPOL – a package for routines for generating orthogonal polynomials and Gauss-type quadrature rules. Zbl 0888.65013Gautschi, W. 71 1994 On inverses of Vandermonde and confluent Vandermonde matrices. Zbl 0108.12501Gautschi, Walter 54 1962 On the construction of Gaussian quadrature rules from modified moments. Zbl 0213.16701Gautschi, Walter 53 1970 Orthogonal polynomials: Applications and computation. Zbl 0871.65011Gautschi, Walter 50 1996 Lower bounds for the condition number of Vandermonde matrices. Zbl 0646.15003Gautschi, Walter; Inglese, Gabriele 47 1988 Adaptive quadrature – Revisited. Zbl 0961.65018Gander, Walter; Gautschi, Walter 46 2000 An algorithm for simultaneous orthogonal transformation of several positive definite symmetric matrices to nearly diagonal form. Zbl 0614.65043Flury, Bernhard N.; Gautschi, Walter 39 1986 Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type. Zbl 0677.41028Gautschi, Walter; Notaris, Sotorios E. 35 1989 A survey of Gauss-Christoffel quadrature formulae. Zbl 0479.65001Gautschi, Walter 34 1981 Norm estimates for inverses of Vandermonde matrices. Zbl 0304.65031Gautschi, Walter 33 1975 The condition of Vandermonde-like matrices involving orthogonal polynomials. Zbl 0522.33005Gautschi, Walter 28 1983 The interplay between classical analysis and (numerical) linear algebra – a tribute to Gene H. Golub. Zbl 1065.65049Gautschi, Walter 27 2002 Orthogonal polynomials - Constructive theory and applications. Zbl 0583.65011Gautschi, Walter 27 1985 A note on the contour integral representation of the remainder term for a Gauss-Chebyshev quadrature rule. Zbl 0685.41019Gautschi, Walter; Tychopoulos, E.; Varga, R. S. 27 1990 The incomplete gamma functions since Tricomi. Zbl 0965.33001Gautschi, Walter 26 1998 Orthogonal polynomials (in Matlab). Zbl 1067.65023Gautschi, Walter 26 2005 Efficient computation of the complex error function. Zbl 0204.48304Gautschi, Walter 25 1970 Questions of numerical condition related to polynomials. Zbl 0584.65020Gautschi, Walter 23 1984 Polynomials orthogonal on the semicircle. Zbl 0604.42024Gautschi, Walter; Milovanović, Gradimir V. 22 1986 Numerical quadrature in the presence of a singularity. Zbl 0279.65024Gautschi, Walter 21 1967 Numerical analysis. 2nd ed. Zbl 1378.65002Gautschi, Walter 20 2012 Minimal solutions of three-term recurrence relations and orthogonal polynomials. Zbl 0466.33008Gautschi, Walter 20 1981 On the condition of algebraic equations. Zbl 0278.65044Gautschi, Walter 20 1973 Zeros and critical points of Sobolev orthogonal polynomials. Zbl 0897.42014Gautschi, Walter; Kuijlaars, A. B. J. 19 1997 Gauss-type quadrature rules for rational functions. Zbl 0802.65019Gautschi, Walter 19 1993 Attenuation factors in practical Fourier analysis. Zbl 0231.65101Gautschi, Walter 18 1972 A computational procedure for incomplete gamma functions. Zbl 0429.65011Gautschi, Walter 18 1979 \(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae. Zbl 0890.65021Gautschi, Walter; Milovanović, Gradimir V. 17 1997 A set of orthogonal polynomials induced by a given orthogonal polynomial. Zbl 0785.33004Gautschi, Walter; Li, Shikang 17 1993 An algebraic study of Gauss-Kronrod quadrature formulae for Jacobi weight functions. Zbl 0654.65017Gautschi, Walter; Notaris, Sotirios E. 17 1988 On the remainder term for analytic functions of Gauss-Lobatto and Gauss- Radau quadratures. Zbl 0749.41026Gautschi, Walter 17 1991 A harmonic mean inequality for the gamma function. Zbl 0239.33002Gautschi, Walter 17 1974 Optimally conditioned Vandermonde matrices. Zbl 0316.65005Gautschi, Walter 17 1975 Computing the Hilbert transform of a Jacobi weight function. Zbl 0629.65023Gautschi, Walter; Wimp, Jet 16 1987 Remainder estimates for analytic functions. Zbl 0754.41026Gautschi, Walter 16 1992 Gauss-Kronrod quadrature - a survey. Zbl 0691.41027Gautschi, Walter 16 1988 The remainder term for analytic functions of Gauss-Radau and Gauss- Lobatto quadrature rules with multiple end points. Zbl 0724.41024Gautschi, Walter; Li, Shikang 16 1990 Gauss-Radau formulae for Jacobi and Laguerre weight functions. Zbl 0981.41017Gautschi, Walter 15 2000 Gauss quadrature for refineable weight functions. Zbl 0954.65018Gautschi, Walter; Gori, Laura; Pitolli, Francesca 15 2000 On some orthogonal polynomials of interest in theoretical chemistry. Zbl 0547.65008Gautschi, Walter 15 1984 On the computation of modified Bessel function ratios. Zbl 0386.33006Gautschi, Walter; Slavik, Josef 15 1978 Algorithm 793: GQRAT – Gauss quadrature for rational functions. Zbl 0961.65019Gautschi, Walter 14 1999 Orthogonal polynomials in MATLAB: exercises and solutions. Zbl 1369.33001Gautschi, Walter 14 2016 The condition of polynomials in power form. Zbl 0399.41002Gautschi, Walter 14 1979 The use of rational functions in numerical quadrature. Zbl 0985.65017Gautschi, Walter 13 2001 A family of Gauss-Kronrod quadrature formulae. Zbl 0699.65016Gautschi, Walter; Rivlin, Theodore J. 13 1988 Zur Numerik rekurrenter Relationen. Zbl 0263.65104Gautschi, Walter 13 1972 Quadrature rules for rational functions. Zbl 0968.65014Gautschi, Walter; Gori, Laura; Lo Cascio, M. Laura 12 2000 High-order Gauss-Lobatto formulae. Zbl 0979.65021Gautschi, Walter 12 2000 Spirals. From Theodorus to chaos. With contributions by Walter Gautschi and Arieh Iserles. Zbl 0940.00002Davis, Philip J. 12 1993 On the sensitivity of orthogonal polynomials to perturbations in the moments. Zbl 0613.65014Gautschi, Walter 12 1986 Some mean value inequalities for the gamma function. Zbl 0239.33003Gautschi, Walter 12 1974 On mean convergence of extended Lagrange interpolation. Zbl 0761.41003Gautschi, Walter 11 1992 Gauss-Radau and Gauss-Lobatto quadratures with double end points. Zbl 0727.65012Gautschi, Walter; Li, Shikang 11 1991 On inverses of Vandermonde and confluent Vandermonde matrices. III. Zbl 0362.15002Gautschi, Walter 11 1978 Computing orthogonal polynomials in Sobolev spaces. Zbl 0830.65012Gautschi, Walter; Zhang, Minda 11 1995 Computational aspects of orthogonal polynomials. Zbl 0697.42017Gautschi, Walter 11 1990 Recursive computation of certain integrals. Zbl 0097.12201Gautschi, Walter 10 1961 On computing Gauss-Kronrod quadrature formulae. Zbl 0631.65016Caliò, Franca; Gautschi, Walter; Marchetti, Elena 10 1986 Polynomials orthogonal on the semicircle. II. Zbl 0658.42027Gautschi, Walter; Landau, Henry J.; Milovanović, Gradimir V. 10 1987 Erratum to: Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type. Zbl 0691.41028Gautschi, W.; Notaris, S. E. 10 1989 Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series. Zbl 0576.65011Gautschi, Walter; Milovanović, Gradimir V. 10 1985 On the computation of generalized Fermi-Dirac and Bose-Einstein integrals. Zbl 0855.65011Gautschi, Walter 10 1993 Gauss quadrature routines for two classes of logarithmic weight functions. Zbl 1200.65019Gautschi, Walter 9 2010 Optimally scaled and optimally conditioned vandermonde and Vandermonde-like matrices. Zbl 1214.65021Gautschi, Walter 9 2011 Anomalous convergence of a continued fraction for ratios of Kummer functions. Zbl 0373.33002Gautschi, Walter 9 1977 Algorithm 542: Incomplete Gamma functions [S14]. Zbl 0434.65007Gautschi, Walter 9 1979 On inverses of Vandermonde and confluent Vandermonde matrices. II. Zbl 0115.34303Gautschi, W. 9 1963 An algorithmic implementation of the generalized Christoffel theorem. Zbl 0518.65006Gautschi, Walter 9 1982 Orthogonal polynomials and quadrature. Zbl 0963.33004Gautschi, Walter 8 1999 Moments in quadrature problems. Zbl 0930.65011Gautschi, Walter 8 1997 Corrections to ”On the remainder term for analytic functions of Gauss- Lobatto and Gauss-Radau quadratures”. Zbl 0768.41027Gautschi, Walter 8 1991 Quadrature formulae on half-infinite intervals. Zbl 0734.65007Gautschi, Walter 8 1991 Discrete approximations to spherically symmetric distributions. Zbl 0508.65012Gautschi, Walter 8 1984 Questions of numerical condition related to polynomials. Zbl 0457.65026Gautschi, Walter 8 1978 On Chebyshev-type quadratures. Zbl 0292.65005Gautschi, Walter; Yanagiwara, Hiroki 8 1974 Computing polynomials orthogonal with respect to densely oscillating and exponentially decaying weight functions and related integrals. Zbl 1076.65019Gautschi, Walter 7 2005 Generalized Gauss-Radau and Gauss-Lobatto formulae. Zbl 1076.65023Gautschi, Walter 7 2004 Leonhard Euler: his life, the man, and his works. Zbl 1138.01010Gautschi, Walter 7 2008 Spline approximations to spherically symmetric distributions. Zbl 0586.41009Gautschi, Walter; Milovanović, Gradimir V. 7 1986 Orthogonal polynomials, quadrature, and approximation: computational methods and software (in Matlab). Zbl 1101.41029Gautschi, Walter 7 2006 The condition of orthogonal polynomials. Zbl 0261.33009Gautschi, Walter 7 1972 Stieltjes polynomials and related quadrature formulae for a class of weight functions. Zbl 0853.41019Gautschi, Walter; Notaris, Sotirios E. 7 1996 Exponential integral \(\int_ 1^ \infty e^{-^ xt} t^{-n}dt\) for large values of \(n\). Zbl 0118.32604Gautschi, Walter 7 1959 Expansions of the exponential integral in incomplete gamma functions. Zbl 1058.33002Gautschi, Walter; Harris, F. E.; Temme, N. M. 7 2003 Recursive computation of the repeated integrals of the error function. Zbl 0099.11401Gautschi, Walter 7 1961 How (un)stable are Vandermonde systems? Zbl 0707.15003Gautschi, Walter 7 1990 Conjectured inequalities for Jacobi polynomials and their largest zeros. Zbl 1124.33009Gautschi, Walter; Leopardi, Paul 6 2007 On Padé approximants associated with Hamburger series. Zbl 0571.41013Gautschi, Walter 6 1983 A class of slowly convergent series and their summation by Gaussian quadrature. Zbl 0739.40002Gautschi, Walter 6 1991 On a conjectured inequality for the largest zero of Jacobi polynomials. Zbl 1167.33003Gautschi, Walter 6 2008 How sharp is Bernstein’s inequality for Jacobi polynomials? Zbl 1189.33016Gautschi, Walter 6 2009 A software repository for Gaussian quadratures and Christoffel functions. Zbl 07314178Gautschi, Walter 1 2021 A software repository for orthogonal polynomials. Zbl 1398.33001Gautschi, Walter 5 2018 On the zeros of subrange Jacobi polynomials. Zbl 1403.33009Gautschi, Walter 1 2018 Orthogonal polynomials in MATLAB: exercises and solutions. Zbl 1369.33001Gautschi, Walter 14 2016 Algorithm 957: Evaluation of the repeated integral of the coerror function by half-range Gauss-Hermite quadrature. Zbl 1347.65052Gautschi, Walter 1 2016 High-precision Gauss-Turán quadrature rules for Laguerre and Hermite weight functions. Zbl 1298.65041Gautschi, Walter 3 2014 Walter Gautschi, Volume 3. Selected works with commentaries. Edited by Claude Brezinski and Ahmed Sameh. Zbl 1292.01007Gautschi, Walter 1 2014 Repeated modifications of orthogonal polynomials by linear divisors. Zbl 1269.65024Gautschi, Walter 3 2013 Neutralizing nearby singularities in numerical quadrature. Zbl 1279.65030Gautschi, Walter 1 2013 Numerical analysis. 2nd ed. Zbl 1378.65002Gautschi, Walter 20 2012 Sub-range Jacobi polynomials. Zbl 1257.65011Gautschi, Walter 5 2012 Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics. Zbl 1257.65012Gautschi, Walter 3 2012 Interpolation before and after Lagrange. Zbl 1305.41002Gautschi, Walter 1 2012 Optimally scaled and optimally conditioned vandermonde and Vandermonde-like matrices. Zbl 1214.65021Gautschi, Walter 9 2011 The Lambert W-functions and some of their integrals: A case study of high-precision computation. Zbl 1215.65042Gautschi, Walter 4 2011 Approximation and computation. In honor of Gradimir V. Milovanović. Most papers based on the presentations at the international conference, Niš, Serbia, August 25–29, 2008. Zbl 1203.65006 2 2011 Gauss quadrature routines for two classes of logarithmic weight functions. Zbl 1200.65019Gautschi, Walter 9 2010 The spiral of Theodorus, numerical analysis, and special functions. Zbl 1201.01004Gautschi, Walter 1 2010 Alexander M. Ostrowski (1893–1986): His life, work, and students. Zbl 1209.01071Gautschi, Walter 1 2010 How sharp is Bernstein’s inequality for Jacobi polynomials? Zbl 1189.33016Gautschi, Walter 6 2009 Variable-precision recurrence coefficients for nonstandard orthogonal polynomials. Zbl 1178.65026Gautschi, Walter 5 2009 High-order generalized Gauss-Radau and Gauss-Lobatto formulae for Jacobi and Laguerre weight functions. Zbl 1167.65347Gautschi, Walter 3 2009 On conjectured inequalities for zeros of Jacobi polynomials. Zbl 1165.33009Gautschi, Walter 2 2009 New conjectured inequalities for zeros of Jacobi polynomials. Zbl 1168.33001Gautschi, Walter 1 2009 Leonhard Euler: his life, the man, and his works. Zbl 1138.01010Gautschi, Walter 7 2008 On a conjectured inequality for the largest zero of Jacobi polynomials. Zbl 1167.33003Gautschi, Walter 6 2008 Luigi Gatteschi’s work on asymptotics of special functions and their zeros. Zbl 1170.26007Gautschi, Walter; Giordano, Carla 5 2008 The numerical evaluation of a challenging integral. Zbl 1162.65012Gautschi, Walter 4 2008 On Euler’s attempt to compute logarithms by interpolation: a commentary to his letter of February 16, 1734 to Daniel Bernoulli. Zbl 1146.01004Gautschi, Walter 2 2008 Conjectured inequalities for Jacobi polynomials and their largest zeros. Zbl 1124.33009Gautschi, Walter; Leopardi, Paul 6 2007 Leonhard Euler’s handling of slowly convergent series. (Leonhard Eulers Umgang mit langsam konvergenten Reihen.) Zbl 1390.41035Gautschi, Walter 2 2007 Milestones in matrix computation. The selected works of Gene H. Golub. With commentaries by Anne Greenbaum, Åke Björk, Nicholas Higham, Walter Gautschi and G. W. Stewart. Edited by Raymond H. Chan, Chen Greif, and Dianne P. O’Leary. Zbl 1121.65031Golub, Gene H. 1 2007 Orthogonal polynomials, quadrature, and approximation: computational methods and software (in Matlab). Zbl 1101.41029Gautschi, Walter 7 2006 The circle theorem and related theorems for Gauss-type quadrature rules. Zbl 1115.65024Gautschi, Walter 5 2006 Computing the Kontorovich-Lebedev integral transforms and their inverses. Zbl 1091.65128Gautschi, Walter 2 2006 Orthogonal polynomials (in Matlab). Zbl 1067.65023Gautschi, Walter 26 2005 Computing polynomials orthogonal with respect to densely oscillating and exponentially decaying weight functions and related integrals. Zbl 1076.65019Gautschi, Walter 7 2005 A historical note on Gauss-Kronrod quadrature. Zbl 1087.65020Gautschi, Walter 5 2005 Numerical quadrature computation of the Macdonald function for complex orders. Zbl 1082.65026Gautschi, Walter 3 2005 The Hardy-Littlewood function: an exercise in slowly convergent series. Zbl 1066.40003Gautschi, Walter 3 2005 Orthogonal polynomials. Computation and approximation. Zbl 1130.42300Gautschi, Walter 394 2004 Generalized Gauss-Radau and Gauss-Lobatto formulae. Zbl 1076.65023Gautschi, Walter 7 2004 Expansions of the exponential integral in incomplete gamma functions. Zbl 1058.33002Gautschi, Walter; Harris, F. E.; Temme, N. M. 7 2003 The interplay between classical analysis and (numerical) linear algebra – a tribute to Gene H. Golub. Zbl 1065.65049Gautschi, Walter 27 2002 Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions. Zbl 0998.65032Gautschi, Walter 5 2002 Computation of Bessel and Airy functions and of related Gaussian quadrature formulae. Zbl 0997.65042Gautschi, Walter 2 2002 The use of rational functions in numerical quadrature. Zbl 0985.65017Gautschi, Walter 13 2001 Remark: Barycentric formulae for cardinal (SINC-) interpolants by Jean-Paul Berrut. Zbl 0973.65008Gautschi, Walter 3 2001 Computing the Hilbert transform of the generalized Laguerre and Hermite weight functions. Zbl 0988.65123Gautschi, Walter; Waldvogel, Jörg 3 2001 Adaptive quadrature – Revisited. Zbl 0961.65018Gander, Walter; Gautschi, Walter 46 2000 Gauss-Radau formulae for Jacobi and Laguerre weight functions. Zbl 0981.41017Gautschi, Walter 15 2000 Gauss quadrature for refineable weight functions. Zbl 0954.65018Gautschi, Walter; Gori, Laura; Pitolli, Francesca 15 2000 Quadrature rules for rational functions. Zbl 0968.65014Gautschi, Walter; Gori, Laura; Lo Cascio, M. Laura 12 2000 High-order Gauss-Lobatto formulae. Zbl 0979.65021Gautschi, Walter 12 2000 Algorithm 793: GQRAT – Gauss quadrature for rational functions. Zbl 0961.65019Gautschi, Walter 14 1999 Orthogonal polynomials and quadrature. Zbl 0963.33004Gautschi, Walter 8 1999 A note on the recursive calculation of incomplete gamma functions. Zbl 0962.65018Gautschi, Walter 2 1999 Applications and computation of orthogonal polynomials. Conference at the Mathematical Research Institute Oberwolfach, Germany, March 22–29, 1998. Dedicated to the memory of Günther Hämmerlin. Zbl 0919.00065 1 1999 The incomplete gamma functions since Tricomi. Zbl 0965.33001Gautschi, Walter 26 1998 Remark on Algorithm 726: ORTHPOL – a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules. Zbl 0932.65018Gautschi, Walter 1 1998 Numerical analysis. An introduction. Zbl 0877.65001Gautschi, Walter 185 1997 Zeros and critical points of Sobolev orthogonal polynomials. Zbl 0897.42014Gautschi, Walter; Kuijlaars, A. B. J. 19 1997 \(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae. Zbl 0890.65021Gautschi, Walter; Milovanović, Gradimir V. 17 1997 Moments in quadrature problems. Zbl 0930.65011Gautschi, Walter 8 1997 On the computation of special Sobolev-type orthogonal polynomials. Zbl 0887.65018Gautschi, Walter 3 1997 The computation of special functions by linear difference equations. Zbl 0892.65008Gautschi, Walter 3 1997 Orthogonal polynomials: Applications and computation. Zbl 0871.65011Gautschi, Walter 50 1996 Stieltjes polynomials and related quadrature formulae for a class of weight functions. Zbl 0853.41019Gautschi, Walter; Notaris, Sotirios E. 7 1996 On quadrature convergence of extended Lagrange interpolation. Zbl 0862.41001Gautschi, Walter; Li, Shikang 2 1996 Computing orthogonal polynomials in Sobolev spaces. Zbl 0830.65012Gautschi, Walter; Zhang, Minda 11 1995 Luigi Gatteschi’s work on special functions and numerical analysis. Zbl 0827.65020Gautschi, Walter 2 1995 The work of Philip Rabinowitz on numerical integration. Zbl 0840.65012Gautschi, Walter 1 1995 Algorithm 726: ORTHPOL – a package for routines for generating orthogonal polynomials and Gauss-type quadrature rules. Zbl 0888.65013Gautschi, W. 71 1994 Summation of slowly convergent series. Zbl 0799.65005Gautschi, Walter 1 1994 Mathematics of computation, 1943-1993: a half-century of computational mathematics. Mathematics of computation 50th anniversary symposium, August 9-13, 1993, Vancouver, Canada. Zbl 0807.00006 1 1994 Gauss-type quadrature rules for rational functions. Zbl 0802.65019Gautschi, Walter 19 1993 A set of orthogonal polynomials induced by a given orthogonal polynomial. Zbl 0785.33004Gautschi, Walter; Li, Shikang 17 1993 Spirals. From Theodorus to chaos. With contributions by Walter Gautschi and Arieh Iserles. Zbl 0940.00002Davis, Philip J. 12 1993 On the computation of generalized Fermi-Dirac and Bose-Einstein integrals. Zbl 0855.65011Gautschi, Walter 10 1993 Is the recurrence relation for orthogonal polynomials always stable? Zbl 0783.65009Gautschi, Walter 5 1993 Remainder estimates for analytic functions. Zbl 0754.41026Gautschi, Walter 16 1992 On mean convergence of extended Lagrange interpolation. Zbl 0761.41003Gautschi, Walter 11 1992 Spline approximation and quadrature formulae. Zbl 0774.41030Gautschi, Walter 2 1992 On the remainder term for analytic functions of Gauss-Lobatto and Gauss- Radau quadratures. Zbl 0749.41026Gautschi, Walter 17 1991 Gauss-Radau and Gauss-Lobatto quadratures with double end points. Zbl 0727.65012Gautschi, Walter; Li, Shikang 11 1991 Corrections to ”On the remainder term for analytic functions of Gauss- Lobatto and Gauss-Radau quadratures”. Zbl 0768.41027Gautschi, Walter 8 1991 Quadrature formulae on half-infinite intervals. Zbl 0734.65007Gautschi, Walter 8 1991 A class of slowly convergent series and their summation by Gaussian quadrature. Zbl 0739.40002Gautschi, Walter 6 1991 On certain slowly convergent series occurring in plate contact problems. Zbl 0739.40003Gautschi, Walter 5 1991 Computational problems and applications of orthogonal polynomials. Zbl 0830.65011Gautschi, Walter 3 1991 A note on the contour integral representation of the remainder term for a Gauss-Chebyshev quadrature rule. Zbl 0685.41019Gautschi, Walter; Tychopoulos, E.; Varga, R. S. 27 1990 The remainder term for analytic functions of Gauss-Radau and Gauss- Lobatto quadrature rules with multiple end points. Zbl 0724.41024Gautschi, Walter; Li, Shikang 16 1990 Computational aspects of orthogonal polynomials. Zbl 0697.42017Gautschi, Walter 11 1990 How (un)stable are Vandermonde systems? Zbl 0707.15003Gautschi, Walter 7 1990 Vandermonde matrices on the circle: Spectral properties and conditioning. Zbl 0706.15004Córdova, Antonio; Gautschi, Walter; Ruscheweyh, Stephan 3 1990 Vandermonde matrices on the circle: Spectral properties and conditioning. Zbl 0728.15003Córdova, Antonio; Gautschi, Walter; Ruscheweyh, Stephan 2 1990 Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type. Zbl 0677.41028Gautschi, Walter; Notaris, Sotorios E. 35 1989 Erratum to: Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type. Zbl 0691.41028Gautschi, W.; Notaris, S. E. 10 1989 Orthogonality - conventional and unconventional - in numerical analysis. Zbl 0686.41022Gautschi, Walter 5 1989 On the zeros of polynomials orthogonal on the semicircle. Zbl 0676.30005Gautschi, Walter 3 1989 ...and 77 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,283 Authors 89 Gautschi, Walter 63 Milovanović, Gradimir V. 47 Reichel, Lothar 44 Spalević, Miodrag M. 30 Masjed-Jamei, Mohammad 28 Kou, Jisheng 24 Dehghan Takht Fooladi, Mehdi 23 Notaris, Sotirios E. 22 Marcellán Español, Francisco 19 Alzer, Horst 19 González-Vera, Pablo 19 Hasegawa, Takemitsu 18 Li, Yitian 18 Wu, Xinyuan 17 Eslahchi, Mohammad Reza 15 Bultheel, Adhemar François 15 Cvetković, Aleksandar S. 15 Wang, Xiuhua 14 Golub, Gene Howard 14 Pejčev, Aleksandar V. 13 Chun, Changbum 13 Pranic, Miroslav S. 13 Temme, Nico M. 11 Rández, Luis 11 Sugiura, Hiroshi 11 Vianello, Marco 11 You, Xiong 10 Fang, Yonglei 10 Moreno-Balcázar, Juan José 10 Piessens, Robert 10 Stanić, Marija P. 10 Yang, Zhenhang 9 Franco, J. Méndez 9 Li, Jiyong 9 Mastroianni, Giuseppe 9 Montijano, Juan Ignacio 9 Narayan, Akil C. 9 Olver, Sheehan Shakiban 9 Segura, Javier 9 Sharma, Rajni 9 Shizgal, Bernie D. 9 Vanden Berghe, Guido 9 Xiang, Shuhuang 8 Bao, Weizhu 8 Barry, Paul 8 Chu, Yuming 8 Huybrechs, Daan 8 Laurie, Dirk P. 8 López Lagomasino, Guillermo Tomás 8 Njåstad, Olav 8 Pan, Victor Yakovlevich 8 Pijeira-Cabrera, Héctor 8 Sharma, Janak Raj 8 Sommariva, Alvise 7 Berrut, Jean-Paul 7 Calabró, Francesco 7 Calvo, Manuel 7 Deaño, Alfredo 7 Eisinberg, Alfredo 7 Farouki, Rida T. 7 Grau-Sánchez, Miquel 7 Hashemiparast, S. M. 7 Jagels, Carl F. 7 Jones, William Branham 7 Karniadakis, George Em 7 Mantica, Giorgio 7 Martínez-Finkelshtein, Andrei 7 Neta, Beny 7 Qi, Feng 7 Ranga, A. Sri 7 Strakoš, Zdeněk 7 Van Assche, Walter 7 Van Daele, Marnix 7 Van Deun, Joris 7 Zhao, Xiaofei 6 Beckermann, Bernhard 6 Cachafeiro, Alicia 6 Cai, Yongyong 6 Calvetti, Daniela 6 Cruz-Barroso, Ruymán 6 De Meyer, Hans E. 6 Deng, Shaozhong 6 Đukić, Dušan Lj. 6 Garcia, Roberto D. M. 6 Gil, Amparo 6 Ham, YoonMee 6 Hasçelik, Ali İhsan 6 Inglese, Gabriele 6 Magnus, Alphonse Ph. 6 Peherstorfer, Franz 6 Petković, Marko D. 6 Punzo, Antonio 6 Shi, Wei 6 Simos, Theodore E. 6 Thron, Wolfgang Joseph 6 Wang, Haiyong 5 Area, Iván 5 Bespalov, Alexei 5 Branders, Maria 5 Browne, Ryan P. ...and 2,183 more Authors all top 5 Cited in 338 Serials 265 Journal of Computational and Applied Mathematics 151 Applied Mathematics and Computation 132 Numerical Algorithms 126 Mathematics of Computation 95 Numerische Mathematik 64 BIT 61 Applied Numerical Mathematics 58 Journal of Computational Physics 56 Linear Algebra and its Applications 52 Computers & Mathematics with Applications 44 Journal of Approximation Theory 35 International Journal of Computer Mathematics 28 Journal of Mathematical Analysis and Applications 27 SIAM Journal on Scientific Computing 25 Journal of Scientific Computing 23 Computer Methods in Applied Mechanics and Engineering 23 Calcolo 18 Advances in Computational Mathematics 16 Computer Physics Communications 16 Journal of Inequalities and Applications 15 SIAM Journal on Numerical Analysis 14 Journal of Mathematical Physics 14 Computing 14 Applied Mathematics Letters 13 Journal of Mathematical Chemistry 12 Applied and Computational Harmonic Analysis 11 Proceedings of the American Mathematical Society 11 SIAM Journal on Matrix Analysis and Applications 11 SIAM Review 10 Journal of Difference Equations and Applications 10 SIAM/ASA Journal on Uncertainty Quantification 9 Results in Mathematics 9 Communications in Statistics. 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Series B 4 Numerical Linear Algebra with Applications 4 Engineering Analysis with Boundary Elements 4 Discrete and Continuous Dynamical Systems 4 The Ramanujan Journal 4 Abstract and Applied Analysis 4 Mathematical Inequalities & Applications 4 Journal of Integer Sequences 4 Multiscale Modeling & Simulation 4 Communications in Computational Physics 4 Applicable Analysis and Discrete Mathematics 4 Journal of Computational and Theoretical Transport 3 Communications in Mathematical Physics 3 Inverse Problems 3 Physics Reports 3 Transport Theory and Statistical Physics 3 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 3 ACM Transactions on Mathematical Software 3 Journal of Functional Analysis 3 Journal of Statistical Planning and Inference 3 Transactions of the American Mathematical Society 3 Advances in Applied Mathematics 3 Zeitschrift für Analysis und ihre Anwendungen 3 Applied Mathematics and Mechanics. (English Edition) 3 Physica D 3 Computational Statistics 3 Celestial Mechanics 3 The Journal of Fourier Analysis and Applications 3 Communications in Nonlinear Science and Numerical Simulation ...and 238 more Serials all top 5 Cited in 55 Fields 1,385 Numerical analysis (65-XX) 500 Approximations and expansions (41-XX) 419 Special functions (33-XX) 233 Harmonic analysis on Euclidean spaces (42-XX) 154 Ordinary differential equations (34-XX) 133 Partial differential equations (35-XX) 113 Linear and multilinear algebra; matrix theory (15-XX) 106 Statistics (62-XX) 105 Real functions (26-XX) 91 Functions of a complex variable (30-XX) 85 Probability theory and stochastic processes (60-XX) 60 Quantum theory (81-XX) 49 Difference and functional equations (39-XX) 47 Fluid mechanics (76-XX) 44 Integral transforms, operational calculus (44-XX) 44 Statistical mechanics, structure of matter (82-XX) 41 Operator theory (47-XX) 40 Dynamical systems and ergodic theory (37-XX) 40 Sequences, series, summability (40-XX) 40 Computer science (68-XX) 39 Number theory (11-XX) 37 Integral equations (45-XX) 36 Operations research, mathematical programming (90-XX) 33 Information and communication theory, circuits (94-XX) 31 Systems theory; control (93-XX) 26 Mechanics of deformable solids (74-XX) 22 Combinatorics (05-XX) 21 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 20 Biology and other natural sciences (92-XX) 19 Calculus of variations and optimal control; optimization (49-XX) 17 Functional analysis (46-XX) 16 Optics, electromagnetic theory (78-XX) 13 Mechanics of particles and systems (70-XX) 12 Measure and integration (28-XX) 10 Relativity and gravitational theory (83-XX) 10 Geophysics (86-XX) 9 History and biography (01-XX) 8 Field theory and polynomials (12-XX) 6 Classical thermodynamics, heat transfer (80-XX) 5 Algebraic geometry (14-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Astronomy and astrophysics (85-XX) 4 Abstract harmonic analysis (43-XX) 3 General and overarching topics; collections (00-XX) 3 Convex and discrete geometry (52-XX) 2 Commutative algebra (13-XX) 2 Potential theory (31-XX) 2 Geometry (51-XX) 1 Mathematical logic and foundations (03-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 Topological groups, Lie groups (22-XX) 1 Several complex variables and analytic spaces (32-XX) 1 Differential geometry (53-XX) 1 Mathematics education (97-XX) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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