Edit Profile (opens in new tab) Gautschi, Walter Co-Author Distance 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: 219 Publications since 1951, including 9 Books 7 Contributions as Editor · 2 Further Contributions Biographic References: 10 Publications Co-Authors: 44 Co-Authors with 60 Joint Publications 1,447 Co-Co-Authors all top 5 Co-Authors 165 single-authored 16 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 27 Mathematics of Computation 27 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) 86 Special functions (33-XX) 82 Approximations and expansions (41-XX) 22 Harmonic analysis on Euclidean spaces (42-XX) 21 History and biography (01-XX) 13 Functions of a complex variable (30-XX) 12 Linear and multilinear algebra; matrix theory (15-XX) 9 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 182 Publications have been cited 3,541 times in 2,379 Documents Cited by ▼ Year ▼ Orthogonal polynomials. Computation and approximation. Zbl 1130.42300 Gautschi, Walter 490 2004 Numerical integration of ordinary differential equations based on trigonometric polynomials. Zbl 0163.39002 Gautschi, Walter 216 1961 Computational aspects of three-term recurrence relations. Zbl 0168.15004 Gautschi, Walter 200 1967 Numerical analysis. An introduction. Zbl 0877.65001 Gautschi, Walter 199 1997 On generating orthogonal polynomials. Zbl 0482.65011 Gautschi, Walter 141 1982 Some elementary inequalities relating to the gamma and incomplete gamma function. Zbl 0094.04104 Gautschi, Walter 109 1959 Algorithm 726: ORTHPOL – a package for routines for generating orthogonal polynomials and Gauss-type quadrature rules. Zbl 0888.65013 Gautschi, W. 80 1994 Error bounds for Gaussian quadrature of analytic functions. Zbl 0545.41040 Gautschi, Walter; Varga, Richard S. 79 1983 Construction of Gauss-Christoffel quadrature formulas. Zbl 0187.10603 Gautschi, Walter 78 1968 A survey of Gauss-Christoffel quadrature formulae. Zbl 0479.65001 Gautschi, Walter 66 1981 On inverses of Vandermonde and confluent Vandermonde matrices. Zbl 0108.12501 Gautschi, Walter 62 1962 On the construction of Gaussian quadrature rules from modified moments. Zbl 0213.16701 Gautschi, Walter 57 1970 Orthogonal polynomials: Applications and computation. Zbl 0871.65011 Gautschi, Walter 56 1996 Adaptive quadrature – Revisited. Zbl 0961.65018 Gander, Walter; Gautschi, Walter 50 2000 Lower bounds for the condition number of Vandermonde matrices. Zbl 0646.15003 Gautschi, Walter; Inglese, Gabriele 48 1988 Numerical analysis. 2nd ed. Zbl 1378.65002 Gautschi, Walter 42 2012 An algorithm for simultaneous orthogonal transformation of several positive definite symmetric matrices to nearly diagonal form. Zbl 0614.65043 Flury, Bernhard N.; Gautschi, Walter 42 1986 Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type. Zbl 0677.41028 Gautschi, Walter; Notaris, Sotorios E. 37 1989 Norm estimates for inverses of Vandermonde matrices. Zbl 0304.65031 Gautschi, Walter 36 1975 The interplay between classical analysis and (numerical) linear algebra – a tribute to Gene H. Golub. Zbl 1065.65049 Gautschi, Walter 34 2002 Gauss-Kronrod quadrature - a survey. Zbl 0691.41027 Gautschi, Walter 31 1988 The incomplete gamma functions since Tricomi. Zbl 0965.33001 Gautschi, Walter 31 1998 Efficient computation of the complex error function. Zbl 0204.48304 Gautschi, Walter 30 1970 The condition of Vandermonde-like matrices involving orthogonal polynomials. Zbl 0522.33005 Gautschi, Walter 29 1983 A note on the contour integral representation of the remainder term for a Gauss-Chebyshev quadrature rule. Zbl 0685.41019 Gautschi, Walter; Tychopoulos, E.; Varga, R. S. 28 1990 Orthogonal polynomials - Constructive theory and applications. Zbl 0583.65011 Gautschi, Walter 28 1985 Orthogonal polynomials (in Matlab). Zbl 1067.65023 Gautschi, Walter 28 2005 Polynomials orthogonal on the semicircle. Zbl 0604.42024 Gautschi, Walter; Milovanović, Gradimir V. 26 1986 Questions of numerical condition related to polynomials. Zbl 0584.65020 Gautschi, Walter 23 1984 A set of orthogonal polynomials induced by a given orthogonal polynomial. Zbl 0785.33004 Gautschi, Walter; Li, Shikang 22 1993 Numerical quadrature in the presence of a singularity. Zbl 0279.65024 Gautschi, Walter 21 1967 Minimal solutions of three-term recurrence relations and orthogonal polynomials. Zbl 0466.33008 Gautschi, Walter 21 1981 Gauss-type quadrature rules for rational functions. Zbl 0802.65019 Gautschi, Walter 21 1993 \(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae. Zbl 0890.65021 Gautschi, Walter; Milovanović, Gradimir V. 20 1997 On the condition of algebraic equations. Zbl 0278.65044 Gautschi, Walter 20 1973 A computational procedure for incomplete gamma functions. Zbl 0429.65011 Gautschi, Walter 20 1979 A harmonic mean inequality for the gamma function. Zbl 0239.33002 Gautschi, Walter 19 1974 Zeros and critical points of Sobolev orthogonal polynomials. Zbl 0897.42014 Gautschi, Walter; Kuijlaars, A. B. J. 19 1997 Orthogonal polynomials in MATLAB: exercises and solutions. Zbl 1369.33001 Gautschi, Walter 19 2016 Attenuation factors in practical Fourier analysis. Zbl 0231.65101 Gautschi, Walter 18 1972 Computing the Hilbert transform of a Jacobi weight function. Zbl 0629.65023 Gautschi, Walter; Wimp, Jet 17 1987 An algebraic study of Gauss-Kronrod quadrature formulae for Jacobi weight functions. Zbl 0654.65017 Gautschi, Walter; Notaris, Sotirios E. 17 1988 Gauss quadrature for refineable weight functions. Zbl 0954.65018 Gautschi, Walter; Gori, Laura; Pitolli, Francesca 17 2000 Optimally conditioned Vandermonde matrices. Zbl 0316.65005 Gautschi, Walter 17 1975 The remainder term for analytic functions of Gauss-Radau and Gauss- Lobatto quadrature rules with multiple end points. Zbl 0724.41024 Gautschi, Walter; Li, Shikang 17 1990 On the remainder term for analytic functions of Gauss-Lobatto and Gauss- Radau quadratures. Zbl 0749.41026 Gautschi, Walter 17 1991 The condition of polynomials in power form. Zbl 0399.41002 Gautschi, Walter 17 1979 On some orthogonal polynomials of interest in theoretical chemistry. Zbl 0547.65008 Gautschi, Walter 16 1984 Gauss-Radau formulae for Jacobi and Laguerre weight functions. Zbl 0981.41017 Gautschi, Walter 16 2000 Remainder estimates for analytic functions. Zbl 0754.41026 Gautschi, Walter 16 1992 On mean convergence of extended Lagrange interpolation. Zbl 0761.41003 Gautschi, Walter 16 1992 Zur Numerik rekurrenter Relationen. Zbl 0263.65104 Gautschi, Walter 15 1972 On the computation of modified Bessel function ratios. Zbl 0386.33006 Gautschi, Walter; Slavik, Josef 15 1978 Algorithm 793: GQRAT – Gauss quadrature for rational functions. Zbl 0961.65019 Gautschi, Walter 14 1999 Quadrature rules for rational functions. Zbl 0968.65014 Gautschi, Walter; Gori, Laura; Lo Cascio, M. Laura 14 2000 The use of rational functions in numerical quadrature. Zbl 0985.65017 Gautschi, Walter 14 2001 Some mean value inequalities for the gamma function. Zbl 0239.33003 Gautschi, Walter 14 1974 Polynomials orthogonal on the semicircle. II. Zbl 0658.42027 Gautschi, Walter; Landau, Henry J.; Milovanović, Gradimir V. 13 1987 High-order Gauss-Lobatto formulae. Zbl 0979.65021 Gautschi, Walter 13 2000 Orthogonal polynomials, quadrature, and approximation: computational methods and software (in Matlab). Zbl 1101.41029 Gautschi, Walter 13 2006 On the sensitivity of orthogonal polynomials to perturbations in the moments. Zbl 0613.65014 Gautschi, Walter 13 1986 A family of Gauss-Kronrod quadrature formulae. Zbl 0699.65016 Gautschi, Walter; Rivlin, Theodore J. 13 1988 Spirals. From Theodorus to chaos. With contributions by Walter Gautschi and Arieh Iserles. Zbl 0940.00002 Davis, Philip J. 13 1993 Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series. Zbl 0576.65011 Gautschi, Walter; Milovanović, Gradimir V. 12 1985 Computational aspects of orthogonal polynomials. Zbl 0697.42017 Gautschi, Walter 12 1990 Gauss quadrature routines for two classes of logarithmic weight functions. Zbl 1200.65019 Gautschi, Walter 12 2010 An algorithmic implementation of the generalized Christoffel theorem. Zbl 0518.65006 Gautschi, Walter 11 1982 Computing orthogonal polynomials in Sobolev spaces. Zbl 0830.65012 Gautschi, Walter; Zhang, Minda 11 1995 Erratum to: Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type. Zbl 0691.41028 Gautschi, W.; Notaris, S. E. 11 1989 On inverses of Vandermonde and confluent Vandermonde matrices. III. Zbl 0362.15002 Gautschi, Walter 11 1978 Gauss-Radau and Gauss-Lobatto quadratures with double end points. Zbl 0727.65012 Gautschi, Walter; Li, Shikang 11 1991 On the computation of generalized Fermi-Dirac and Bose-Einstein integrals. Zbl 0855.65011 Gautschi, Walter 11 1993 On computing Gauss-Kronrod quadrature formulae. Zbl 0631.65016 Caliò, Franca; Gautschi, Walter; Marchetti, Elena 10 1986 Orthogonal polynomials and quadrature. Zbl 0963.33004 Gautschi, Walter 10 1999 Generalized Gauss-Radau and Gauss-Lobatto formulae. Zbl 1076.65023 Gautschi, Walter 10 2004 Recursive computation of certain integrals. Zbl 0097.12201 Gautschi, Walter 10 1961 On inverses of Vandermonde and confluent Vandermonde matrices. II. Zbl 0115.34303 Gautschi, W. 10 1963 Optimally scaled and optimally conditioned vandermonde and Vandermonde-like matrices. Zbl 1214.65021 Gautschi, Walter 9 2011 Computing polynomials orthogonal with respect to densely oscillating and exponentially decaying weight functions and related integrals. Zbl 1076.65019 Gautschi, Walter 9 2005 Exponential integral \(\int_ 1^ \infty e^{-^ xt} t^{-n}dt\) for large values of \(n\). Zbl 0118.32604 Gautschi, Walter 9 1959 Spline approximations to spherically symmetric distributions. Zbl 0586.41009 Gautschi, Walter; Milovanović, Gradimir V. 9 1986 How (un)stable are Vandermonde systems? Zbl 0707.15003 Gautschi, Walter 9 1990 Quadrature formulae on half-infinite intervals. Zbl 0734.65007 Gautschi, Walter 9 1991 Moments in quadrature problems. Zbl 0930.65011 Gautschi, Walter 9 1997 Anomalous convergence of a continued fraction for ratios of Kummer functions. Zbl 0373.33002 Gautschi, Walter 9 1977 Algorithm 542: Incomplete Gamma functions [S14]. Zbl 0434.65007 Gautschi, Walter 9 1979 Questions of numerical condition related to polynomials. Zbl 0457.65026 Gautschi, Walter 9 1978 Discrete approximations to spherically symmetric distributions. Zbl 0508.65012 Gautschi, Walter 8 1984 How and how not to check Gaussian quadrature formulae. Zbl 0518.65007 Gautschi, Walter 8 1983 Stieltjes polynomials and related quadrature formulae for a class of weight functions. Zbl 0853.41019 Gautschi, Walter; Notaris, Sotirios E. 8 1996 Expansions of the exponential integral in incomplete gamma functions. Zbl 1058.33002 Gautschi, Walter; Harris, F. E.; Temme, N. M. 8 2003 On the condition of a matrix arising in the numerical inversion of the Laplace transform. Zbl 0182.50204 Gautschi, W. 8 1969 The condition of orthogonal polynomials. Zbl 0261.33009 Gautschi, Walter 8 1972 On Chebyshev-type quadratures. Zbl 0292.65005 Gautschi, Walter; Yanagiwara, Hiroki 8 1974 Advances in Chebyshev quadrature. Zbl 0331.65016 Gautschi, Walter 8 1976 On a conjectured inequality for the largest zero of Jacobi polynomials. Zbl 1167.33003 Gautschi, Walter 8 2008 Supplement to Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series. Zbl 0576.65012 Gautschi, Walter; Milovanović, Gradimir V. 8 1985 Corrections to ”On the remainder term for analytic functions of Gauss- Lobatto and Gauss-Radau quadratures”. Zbl 0768.41027 Gautschi, Walter 8 1991 Moment-preserving spline approximation on finite intervals. Zbl 0644.41005 Frontini, Marco; Gautschi, Walter; Milovanović, Gradimir V. 7 1987 Leonhard Euler: his life, the man, and his works. Zbl 1138.01010 Gautschi, Walter 7 2008 A software repository for Gaussian quadratures and Christoffel functions. Zbl 07314178 Gautschi, Walter 3 2021 Orthogonal polynomials relative to a generalized Marchenko-Pastur probability measure. Zbl 1486.33015 Gautschi, Walter; Milovanović, Gradimir V. 1 2021 On conjectures of Stenger in the theory of orthogonal polynomials. Zbl 1499.33038 Gautschi, Walter; Hairer, Ernst 3 2019 A software repository for orthogonal polynomials. Zbl 1398.33001 Gautschi, Walter 6 2018 On the zeros of subrange Jacobi polynomials. Zbl 1403.33009 Gautschi, Walter 1 2018 Orthogonal polynomials in MATLAB: exercises and solutions. Zbl 1369.33001 Gautschi, Walter 19 2016 Algorithm 957: Evaluation of the repeated integral of the coerror function by half-range Gauss-Hermite quadrature. Zbl 1347.65052 Gautschi, Walter 2 2016 Polynomials orthogonal with respect to exponential integrals. Zbl 1329.33016 Gautschi, Walter 2 2015 High-precision Gauss-Turán quadrature rules for Laguerre and Hermite weight functions. Zbl 1298.65041 Gautschi, Walter 4 2014 Walter Gautschi, Volume 3. Selected works with commentaries. Edited by Claude Brezinski and Ahmed Sameh. Zbl 1292.01007 Gautschi, Walter 1 2014 Repeated modifications of orthogonal polynomials by linear divisors. Zbl 1269.65024 Gautschi, Walter 5 2013 Neutralizing nearby singularities in numerical quadrature. Zbl 1279.65030 Gautschi, Walter 2 2013 Erratum to: “Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics”. Zbl 1292.65026 Gautschi, Walter 1 2013 Numerical analysis. 2nd ed. Zbl 1378.65002 Gautschi, Walter 42 2012 Sub-range Jacobi polynomials. Zbl 1257.65011 Gautschi, Walter 5 2012 Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics. Zbl 1257.65012 Gautschi, Walter 5 2012 Interpolation before and after Lagrange. Zbl 1305.41002 Gautschi, Walter 2 2012 Optimally scaled and optimally conditioned vandermonde and Vandermonde-like matrices. Zbl 1214.65021 Gautschi, Walter 9 2011 The Lambert W-functions and some of their integrals: A case study of high-precision computation. Zbl 1215.65042 Gautschi, Walter 5 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 1200.65019 Gautschi, Walter 12 2010 Alexander M. Ostrowski (1893–1986): His life, work, and students. Zbl 1209.01071 Gautschi, Walter 1 2010 The spiral of Theodorus, numerical analysis, and special functions. Zbl 1201.01004 Gautschi, Walter 1 2010 How sharp is Bernstein’s inequality for Jacobi polynomials? Zbl 1189.33016 Gautschi, Walter 7 2009 High-order generalized Gauss-Radau and Gauss-Lobatto formulae for Jacobi and Laguerre weight functions. Zbl 1167.65347 Gautschi, Walter 7 2009 Variable-precision recurrence coefficients for nonstandard orthogonal polynomials. Zbl 1178.65026 Gautschi, Walter 6 2009 On conjectured inequalities for zeros of Jacobi polynomials. Zbl 1165.33009 Gautschi, Walter 3 2009 New conjectured inequalities for zeros of Jacobi polynomials. Zbl 1168.33001 Gautschi, Walter 2 2009 On a conjectured inequality for the largest zero of Jacobi polynomials. Zbl 1167.33003 Gautschi, Walter 8 2008 Leonhard Euler: his life, the man, and his works. Zbl 1138.01010 Gautschi, Walter 7 2008 Luigi Gatteschi’s work on asymptotics of special functions and their zeros. Zbl 1170.26007 Gautschi, Walter; Giordano, Carla 6 2008 The numerical evaluation of a challenging integral. Zbl 1162.65012 Gautschi, Walter 5 2008 On Euler’s attempt to compute logarithms by interpolation: a commentary to his letter of February 16, 1734 to Daniel Bernoulli. Zbl 1146.01004 Gautschi, Walter 2 2008 Conjectured inequalities for Jacobi polynomials and their largest zeros. Zbl 1124.33009 Gautschi, Walter; Leopardi, Paul 7 2007 Leonhard Euler’s handling of slowly convergent series. (Leonhard Eulers Umgang mit langsam konvergenten Reihen.) Zbl 1390.41035 Gautschi, 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 1121.65031 Golub, Gene H. 1 2007 Orthogonal polynomials, quadrature, and approximation: computational methods and software (in Matlab). Zbl 1101.41029 Gautschi, Walter 13 2006 The circle theorem and related theorems for Gauss-type quadrature rules. Zbl 1115.65024 Gautschi, Walter 5 2006 Computing the Kontorovich-Lebedev integral transforms and their inverses. Zbl 1091.65128 Gautschi, Walter 3 2006 Orthogonal polynomials (in Matlab). Zbl 1067.65023 Gautschi, Walter 28 2005 Computing polynomials orthogonal with respect to densely oscillating and exponentially decaying weight functions and related integrals. Zbl 1076.65019 Gautschi, Walter 9 2005 A historical note on Gauss-Kronrod quadrature. Zbl 1087.65020 Gautschi, Walter 6 2005 Numerical quadrature computation of the Macdonald function for complex orders. Zbl 1082.65026 Gautschi, Walter 4 2005 The Hardy-Littlewood function: an exercise in slowly convergent series. Zbl 1066.40003 Gautschi, Walter 3 2005 Orthogonal polynomials. Computation and approximation. Zbl 1130.42300 Gautschi, Walter 490 2004 Generalized Gauss-Radau and Gauss-Lobatto formulae. Zbl 1076.65023 Gautschi, Walter 10 2004 Expansions of the exponential integral in incomplete gamma functions. Zbl 1058.33002 Gautschi, Walter; Harris, F. E.; Temme, N. M. 8 2003 The interplay between classical analysis and (numerical) linear algebra – a tribute to Gene H. Golub. Zbl 1065.65049 Gautschi, Walter 34 2002 Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions. Zbl 0998.65032 Gautschi, Walter 6 2002 Computation of Bessel and Airy functions and of related Gaussian quadrature formulae. Zbl 0997.65042 Gautschi, Walter 3 2002 The use of rational functions in numerical quadrature. Zbl 0985.65017 Gautschi, Walter 14 2001 Remark: Barycentric formulae for cardinal (SINC-) interpolants by Jean-Paul Berrut. Zbl 0973.65008 Gautschi, Walter 3 2001 Computing the Hilbert transform of the generalized Laguerre and Hermite weight functions. Zbl 0988.65123 Gautschi, Walter; Waldvogel, Jörg 3 2001 Adaptive quadrature – Revisited. Zbl 0961.65018 Gander, Walter; Gautschi, Walter 50 2000 Gauss quadrature for refineable weight functions. Zbl 0954.65018 Gautschi, Walter; Gori, Laura; Pitolli, Francesca 17 2000 Gauss-Radau formulae for Jacobi and Laguerre weight functions. Zbl 0981.41017 Gautschi, Walter 16 2000 Quadrature rules for rational functions. Zbl 0968.65014 Gautschi, Walter; Gori, Laura; Lo Cascio, M. Laura 14 2000 High-order Gauss-Lobatto formulae. Zbl 0979.65021 Gautschi, Walter 13 2000 Algorithm 793: GQRAT – Gauss quadrature for rational functions. Zbl 0961.65019 Gautschi, Walter 14 1999 Orthogonal polynomials and quadrature. Zbl 0963.33004 Gautschi, Walter 10 1999 A note on the recursive calculation of incomplete gamma functions. Zbl 0962.65018 Gautschi, 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 2 1999 The incomplete gamma functions since Tricomi. Zbl 0965.33001 Gautschi, Walter 31 1998 Remark on Algorithm 726: ORTHPOL – a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules. Zbl 0932.65018 Gautschi, Walter 1 1998 Numerical analysis. An introduction. Zbl 0877.65001 Gautschi, Walter 199 1997 \(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae. Zbl 0890.65021 Gautschi, Walter; Milovanović, Gradimir V. 20 1997 Zeros and critical points of Sobolev orthogonal polynomials. Zbl 0897.42014 Gautschi, Walter; Kuijlaars, A. B. J. 19 1997 Moments in quadrature problems. Zbl 0930.65011 Gautschi, Walter 9 1997 The computation of special functions by linear difference equations. Zbl 0892.65008 Gautschi, Walter 3 1997 On the computation of special Sobolev-type orthogonal polynomials. Zbl 0887.65018 Gautschi, Walter 3 1997 Orthogonal polynomials: Applications and computation. Zbl 0871.65011 Gautschi, Walter 56 1996 Stieltjes polynomials and related quadrature formulae for a class of weight functions. Zbl 0853.41019 Gautschi, Walter; Notaris, Sotirios E. 8 1996 On quadrature convergence of extended Lagrange interpolation. Zbl 0862.41001 Gautschi, Walter; Li, Shikang 2 1996 Computing orthogonal polynomials in Sobolev spaces. Zbl 0830.65012 Gautschi, Walter; Zhang, Minda 11 1995 Luigi Gatteschi’s work on special functions and numerical analysis. Zbl 0827.65020 Gautschi, Walter 2 1995 The work of Philip Rabinowitz on numerical integration. Zbl 0840.65012 Gautschi, Walter 1 1995 Algorithm 726: ORTHPOL – a package for routines for generating orthogonal polynomials and Gauss-type quadrature rules. Zbl 0888.65013 Gautschi, W. 80 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 Summation of slowly convergent series. Zbl 0799.65005 Gautschi, Walter 1 1994 A set of orthogonal polynomials induced by a given orthogonal polynomial. Zbl 0785.33004 Gautschi, Walter; Li, Shikang 22 1993 Gauss-type quadrature rules for rational functions. Zbl 0802.65019 Gautschi, Walter 21 1993 Spirals. From Theodorus to chaos. With contributions by Walter Gautschi and Arieh Iserles. Zbl 0940.00002 Davis, Philip J. 13 1993 On the computation of generalized Fermi-Dirac and Bose-Einstein integrals. Zbl 0855.65011 Gautschi, Walter 11 1993 Is the recurrence relation for orthogonal polynomials always stable? Zbl 0783.65009 Gautschi, Walter 5 1993 Remainder estimates for analytic functions. Zbl 0754.41026 Gautschi, Walter 16 1992 On mean convergence of extended Lagrange interpolation. Zbl 0761.41003 Gautschi, Walter 16 1992 Spline approximation and quadrature formulae. Zbl 0774.41030 Gautschi, Walter 2 1992 On the remainder term for analytic functions of Gauss-Lobatto and Gauss- Radau quadratures. Zbl 0749.41026 Gautschi, Walter 17 1991 Gauss-Radau and Gauss-Lobatto quadratures with double end points. Zbl 0727.65012 Gautschi, Walter; Li, Shikang 11 1991 Quadrature formulae on half-infinite intervals. Zbl 0734.65007 Gautschi, Walter 9 1991 Corrections to ”On the remainder term for analytic functions of Gauss- Lobatto and Gauss-Radau quadratures”. Zbl 0768.41027 Gautschi, Walter 8 1991 A class of slowly convergent series and their summation by Gaussian quadrature. Zbl 0739.40002 Gautschi, Walter 6 1991 On certain slowly convergent series occurring in plate contact problems. Zbl 0739.40003 Gautschi, Walter 5 1991 Computational problems and applications of orthogonal polynomials. Zbl 0830.65011 Gautschi, Walter 3 1991 A note on the contour integral representation of the remainder term for a Gauss-Chebyshev quadrature rule. Zbl 0685.41019 Gautschi, Walter; Tychopoulos, E.; Varga, R. S. 28 1990 The remainder term for analytic functions of Gauss-Radau and Gauss- Lobatto quadrature rules with multiple end points. Zbl 0724.41024 Gautschi, Walter; Li, Shikang 17 1990 Computational aspects of orthogonal polynomials. Zbl 0697.42017 Gautschi, Walter 12 1990 How (un)stable are Vandermonde systems? Zbl 0707.15003 Gautschi, Walter 9 1990 Vandermonde matrices on the circle: Spectral properties and conditioning. Zbl 0706.15004 Córdova, Antonio; Gautschi, Walter; Ruscheweyh, Stephan 3 1990 Vandermonde matrices on the circle: Spectral properties and conditioning. Zbl 0728.15003 Córdova, Antonio; Gautschi, Walter; Ruscheweyh, Stephan 2 1990 ...and 82 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 2,666 Authors 92 Gautschi, Walter 69 Milovanović, Gradimir V. 54 Spalević, Miodrag M. 53 Reichel, Lothar 31 Masjed-Jamei, Mohammad 28 Kou, Jisheng 26 Marcellán Español, Francisco 24 Dehghan Takht Fooladi, Mehdi 24 Notaris, Sotirios E. 21 Alzer, Horst 20 González-Vera, Pablo 20 Hasegawa, Takemitsu 18 Eslahchi, Mohammad Reza 18 Li, Yitian 18 Pejčev, Aleksandar V. 18 Wu, Xinyuan 17 Vianello, Marco 16 Cvetković, Aleksandar S. 15 Bultheel, Adhemar François 15 Golub, Gene Howard 15 Wang, Xiuhua 14 Pranic, Miroslav S. 14 Sommariva, Alvise 14 Temme, Nico M. 13 Chun, Changbum 13 Olver, Sheehan Shakiban 12 Rández, Luis 12 Sugiura, Hiroshi 11 Đukić, Dušan Lj. 11 Narayan, Akil C. 11 Stanić, Marija P. 11 You, Xiong 10 Fang, Yonglei 10 Franco, J. Méndez 10 Mastroianni, Giuseppe 10 Moreno-Balcázar, Juan José 10 Piessens, Robert 10 Segura, Javier 10 Shizgal, Bernie D. 10 Sri Ranga, Alagacone 10 Xiang, Shuhuang 10 Yang, Zhenhang 9 Dominici, Diego Ernesto 9 Li, Jiyong 9 López Lagomasino, Guillermo Tomás 9 Montijano, Juan Ignacio 9 Njåstad, Olav 9 Sharma, Rajni 9 Van Assche, Walter 9 Vanden Berghe, Guido 9 Xu, Yuan 9 Zhao, Xiaofei 8 Bao, Weizhu 8 Barry, Paul 8 Berrut, Jean-Paul 8 Chu, Yuming 8 Ehrich, Sven 8 Huybrechs, Daan 8 Laurie, Dirk P. 8 Mantica, Giorgio 8 Pan, Victor Yakovlevich 8 Pijeira-Cabrera, Héctor 8 Qi, Feng 8 Sharma, Janak Raj 8 Wang, Haiyong 7 Calabró, Francesco 7 Calvo, Manuel 7 Cruz-Barroso, Ruymán 7 Deaño, Alfredo 7 Eisinberg, Alfredo 7 Farouki, Rida T. 7 Garcia, Roberto D. M. 7 Grau-Sánchez, Miquel 7 Hashemiparast, S. M. 7 Jagels, Carl F. 7 Jones, William Branham 7 Karniadakis, George Em 7 Mañas, Manuel 7 Martínez-Finkelshtein, Andrei 7 Meurant, Gérard A. 7 Neta, Beny 7 Strakoš, Zdeněk 7 Van Daele, Marnix 7 Van Deun, Joris 6 Beckermann, Bernhard 6 Bespalov, Alexei 6 Cachafeiro, Alicia 6 Cai, Yongyong 6 Calvetti, Daniela 6 De Meyer, Hans E. 6 Deng, Shaozhong 6 Diethelm, Kai 6 Gil, Amparo 6 Ham, YoonMee 6 Hasçelik, Ali İhsan 6 Inglese, Gabriele 6 Lubich, Christian 6 Magnus, Alphonse Ph. 6 Occorsio, Donatella 6 Okunuga, Solomon A. ...and 2,566 more Authors all top 5 Cited in 375 Serials 290 Journal of Computational and Applied Mathematics 156 Applied Mathematics and Computation 146 Numerical Algorithms 130 Mathematics of Computation 95 Numerische Mathematik 72 Journal of Computational Physics 69 BIT 64 Applied Numerical Mathematics 60 Linear Algebra and its Applications 55 Computers & Mathematics with Applications 49 Journal of Approximation Theory 36 International Journal of Computer Mathematics 31 SIAM Journal on Scientific Computing 29 Journal of Scientific Computing 28 Computer Methods in Applied Mechanics and Engineering 28 Journal of Mathematical Analysis and Applications 27 Calcolo 22 Advances in Computational Mathematics 19 Computer Physics Communications 19 SIAM Journal on Numerical Analysis 18 Applied Mathematics Letters 18 Journal of Inequalities and Applications 15 Journal of Mathematical Physics 14 Computing 14 Applied and Computational Harmonic Analysis 14 Journal of Mathematical Chemistry 12 SIAM Journal on Matrix Analysis and Applications 12 ETNA. Electronic Transactions on Numerical Analysis 12 Journal of Difference Equations and Applications 11 Proceedings of the American Mathematical Society 11 SIAM Review 10 Communications in Statistics. Theory and Methods 10 Computational and Applied Mathematics 10 SIAM/ASA Journal on Uncertainty Quantification 9 Mathematics and Computers in Simulation 9 Results in Mathematics 8 Applicable Analysis 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Journal of Complexity 8 Constructive Approximation 8 Mathematical and Computer Modelling 8 Computational Statistics and Data Analysis 8 Foundations of Computational Mathematics 8 Advances in Difference Equations 8 Statistics and Computing 7 Rocky Mountain Journal of Mathematics 7 Communications in Statistics. Simulation and Computation 7 Integral Transforms and Special Functions 7 Computational Geosciences 7 BIT. Nordisk Tidskrift for Informationsbehandling 6 Automatica 6 International Journal for Numerical Methods in Engineering 6 Acta Applicandae Mathematicae 6 Numerical Methods for Partial Differential Equations 6 Applied Mathematical Modelling 6 Filomat 6 Engineering Analysis with Boundary Elements 6 Mathematical Problems in Engineering 6 The Ramanujan Journal 6 Journal of Applied Mathematics 6 Mediterranean Journal of Mathematics 6 Journal of Physics A: Mathematical and Theoretical 5 Journal of Engineering Mathematics 5 Journal of Statistical Physics 5 Journal of Econometrics 5 Journal of Multivariate Analysis 5 Numerical Functional Analysis and Optimization 5 Computer Aided Geometric Design 5 Journal of Integral Equations and Applications 5 Indagationes Mathematicae. New Series 5 Applicable Analysis and Discrete Mathematics 5 Journal of Computational and Theoretical Transport 4 Communications in Mathematical Physics 4 Journal of the Franklin Institute 4 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques 4 Advances in Mathematics 4 Journal of Functional Analysis 4 Studies in Applied Mathematics 4 Theoretical Computer Science 4 Physica D 4 Japan Journal of Industrial and Applied Mathematics 4 SIAM Journal on Applied Mathematics 4 Mathematical Programming. Series A. Series B 4 Numerical Linear Algebra with Applications 4 Discrete and Continuous Dynamical Systems 4 The Journal of Fourier Analysis and Applications 4 Abstract and Applied Analysis 4 Mathematical Inequalities & Applications 4 Journal of Integer Sequences 4 Journal of High Energy Physics 4 Multiscale Modeling & Simulation 4 Communications in Computational Physics 4 Revista de la Real Academia de Ciencias Exactas, Físicas y Naturales. Serie A: Matemáticas. RACSAM 3 Classical and Quantum Gravity 3 Inverse Problems 3 Journal d’Analyse Mathématique 3 Linear and Multilinear Algebra 3 Periodica Mathematica Hungarica 3 Physica A 3 Physics Reports ...and 275 more Serials all top 5 Cited in 58 Fields 1,538 Numerical analysis (65-XX) 556 Approximations and expansions (41-XX) 481 Special functions (33-XX) 261 Harmonic analysis on Euclidean spaces (42-XX) 167 Ordinary differential equations (34-XX) 163 Partial differential equations (35-XX) 129 Linear and multilinear algebra; matrix theory (15-XX) 122 Real functions (26-XX) 120 Statistics (62-XX) 101 Functions of a complex variable (30-XX) 100 Probability theory and stochastic processes (60-XX) 71 Quantum theory (81-XX) 62 Fluid mechanics (76-XX) 55 Statistical mechanics, structure of matter (82-XX) 53 Difference and functional equations (39-XX) 51 Integral transforms, operational calculus (44-XX) 48 Number theory (11-XX) 48 Operator theory (47-XX) 46 Computer science (68-XX) 45 Dynamical systems and ergodic theory (37-XX) 41 Integral equations (45-XX) 41 Information and communication theory, circuits (94-XX) 40 Sequences, series, summability (40-XX) 38 Systems theory; control (93-XX) 37 Operations research, mathematical programming (90-XX) 30 Mechanics of deformable solids (74-XX) 28 Combinatorics (05-XX) 24 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 22 Functional analysis (46-XX) 22 Calculus of variations and optimal control; optimization (49-XX) 22 Biology and other natural sciences (92-XX) 18 Optics, electromagnetic theory (78-XX) 15 Mechanics of particles and systems (70-XX) 14 Relativity and gravitational theory (83-XX) 13 Measure and integration (28-XX) 12 History and biography (01-XX) 12 Geophysics (86-XX) 9 Field theory and polynomials (12-XX) 9 Classical thermodynamics, heat transfer (80-XX) 6 Algebraic geometry (14-XX) 6 Convex and discrete geometry (52-XX) 5 Differential geometry (53-XX) 5 Global analysis, analysis on manifolds (58-XX) 5 Astronomy and astrophysics (85-XX) 4 General and overarching topics; collections (00-XX) 4 Abstract harmonic analysis (43-XX) 2 Commutative algebra (13-XX) 2 Topological groups, Lie groups (22-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geometry (51-XX) 1 Mathematical logic and foundations (03-XX) 1 Order, lattices, ordered algebraic structures (06-XX) 1 Associative rings and algebras (16-XX) 1 Group theory and generalizations (20-XX) 1 General topology (54-XX) 1 Manifolds and cell complexes (57-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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