## Gautschi, Walter

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 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: 10 Publications Co-Authors: 44 Co-Authors with 59 Joint Publications 1,386 Co-Co-Authors
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### 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
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### 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
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### 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)

### Citations contained in zbMATH Open

177 Publications have been cited 3,153 times in 2,144 Documents Cited by Year
Orthogonal polynomials. Computation and approximation. Zbl 1130.42300
Gautschi, Walter
2004
Numerical integration of ordinary differential equations based on trigonometric polynomials. Zbl 0163.39002
Gautschi, Walter
1961
Numerical analysis. An introduction. Zbl 0877.65001
Gautschi, Walter
1997
Computational aspects of three-term recurrence relations. Zbl 0168.15004
Gautschi, Walter
1967
On generating orthogonal polynomials. Zbl 0482.65011
Gautschi, Walter
1982
Some elementary inequalities relating to the gamma and incomplete gamma function. Zbl 0094.04104
Gautschi, Walter
1959
Error bounds for Gaussian quadrature of analytic functions. Zbl 0545.41040
Gautschi, Walter; Varga, Richard S.
1983
Construction of Gauss-Christoffel quadrature formulas. Zbl 0187.10603
Gautschi, Walter
1968
Algorithm 726: ORTHPOL – a package for routines for generating orthogonal polynomials and Gauss-type quadrature rules. Zbl 0888.65013
Gautschi, W.
1994
On inverses of Vandermonde and confluent Vandermonde matrices. Zbl 0108.12501
Gautschi, Walter
1962
On the construction of Gaussian quadrature rules from modified moments. Zbl 0213.16701
Gautschi, Walter
1970
Orthogonal polynomials: Applications and computation. Zbl 0871.65011
Gautschi, Walter
1996
Gander, Walter; Gautschi, Walter
2000
Lower bounds for the condition number of Vandermonde matrices. Zbl 0646.15003
Gautschi, Walter; Inglese, Gabriele
1988
A survey of Gauss-Christoffel quadrature formulae. Zbl 0479.65001
Gautschi, Walter
1981
An algorithm for simultaneous orthogonal transformation of several positive definite symmetric matrices to nearly diagonal form. Zbl 0614.65043
Flury, Bernhard N.; Gautschi, Walter
1986
Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type. Zbl 0677.41028
Gautschi, Walter; Notaris, Sotorios E.
1989
Norm estimates for inverses of Vandermonde matrices. Zbl 0304.65031
Gautschi, Walter
1975
The condition of Vandermonde-like matrices involving orthogonal polynomials. Zbl 0522.33005
Gautschi, Walter
1983
The interplay between classical analysis and (numerical) linear algebra – a tribute to Gene H. Golub. Zbl 1065.65049
Gautschi, Walter
2002
Orthogonal polynomials - Constructive theory and applications. Zbl 0583.65011
Gautschi, Walter
1985
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.
1990
Efficient computation of the complex error function. Zbl 0204.48304
Gautschi, Walter
1970
The incomplete gamma functions since Tricomi. Zbl 0965.33001
Gautschi, Walter
1998
Orthogonal polynomials (in Matlab). Zbl 1067.65023
Gautschi, Walter
2005
Questions of numerical condition related to polynomials. Zbl 0584.65020
Gautschi, Walter
1984
Polynomials orthogonal on the semicircle. Zbl 0604.42024
1986
Numerical analysis. 2nd ed. Zbl 1378.65002
Gautschi, Walter
2012
Numerical quadrature in the presence of a singularity. Zbl 0279.65024
Gautschi, Walter
1967
Gauss-Kronrod quadrature - a survey. Zbl 0691.41027
Gautschi, Walter
1988
Minimal solutions of three-term recurrence relations and orthogonal polynomials. Zbl 0466.33008
Gautschi, Walter
1981
On the condition of algebraic equations. Zbl 0278.65044
Gautschi, Walter
1973
Zeros and critical points of Sobolev orthogonal polynomials. Zbl 0897.42014
Gautschi, Walter; Kuijlaars, A. B. J.
1997
Gauss-type quadrature rules for rational functions. Zbl 0802.65019
Gautschi, Walter
1993
A computational procedure for incomplete gamma functions. Zbl 0429.65011
Gautschi, Walter
1979
$$S$$-orthogonality and construction of Gauss-Turán-type quadrature formulae. Zbl 0890.65021
1997
Attenuation factors in practical Fourier analysis. Zbl 0231.65101
Gautschi, Walter
1972
A harmonic mean inequality for the gamma function. Zbl 0239.33002
Gautschi, Walter
1974
On the remainder term for analytic functions of Gauss-Lobatto and Gauss- Radau quadratures. Zbl 0749.41026
Gautschi, Walter
1991
A set of orthogonal polynomials induced by a given orthogonal polynomial. Zbl 0785.33004
Gautschi, Walter; Li, Shikang
1993
Optimally conditioned Vandermonde matrices. Zbl 0316.65005
Gautschi, Walter
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
1990
An algebraic study of Gauss-Kronrod quadrature formulae for Jacobi weight functions. Zbl 0654.65017
Gautschi, Walter; Notaris, Sotirios E.
1988
Computing the Hilbert transform of a Jacobi weight function. Zbl 0629.65023
Gautschi, Walter; Wimp, Jet
1987
Remainder estimates for analytic functions. Zbl 0754.41026
Gautschi, Walter
1992
Gauss-Radau formulae for Jacobi and Laguerre weight functions. Zbl 0981.41017
Gautschi, Walter
2000
Gauss quadrature for refineable weight functions. Zbl 0954.65018
Gautschi, Walter; Gori, Laura; Pitolli, Francesca
2000
On the computation of modified Bessel function ratios. Zbl 0386.33006
Gautschi, Walter; Slavik, Josef
1978
On some orthogonal polynomials of interest in theoretical chemistry. Zbl 0547.65008
Gautschi, Walter
1984
Algorithm 793: GQRAT – Gauss quadrature for rational functions. Zbl 0961.65019
Gautschi, Walter
1999
The condition of polynomials in power form. Zbl 0399.41002
Gautschi, Walter
1979
Zur Numerik rekurrenter Relationen. Zbl 0263.65104
Gautschi, Walter
1972
Orthogonal polynomials in MATLAB: exercises and solutions. Zbl 1369.33001
Gautschi, Walter
2016
The use of rational functions in numerical quadrature. Zbl 0985.65017
Gautschi, Walter
2001
A family of Gauss-Kronrod quadrature formulae. Zbl 0699.65016
Gautschi, Walter; Rivlin, Theodore J.
1988
On the sensitivity of orthogonal polynomials to perturbations in the moments. Zbl 0613.65014
Gautschi, Walter
1986
Quadrature rules for rational functions. Zbl 0968.65014
Gautschi, Walter; Gori, Laura; Lo Cascio, M. Laura
2000
Spirals. From Theodorus to chaos. With contributions by Walter Gautschi and Arieh Iserles. Zbl 0940.00002
Davis, Philip J.
1993
Some mean value inequalities for the gamma function. Zbl 0239.33003
Gautschi, Walter
1974
High-order Gauss-Lobatto formulae. Zbl 0979.65021
Gautschi, Walter
2000
On mean convergence of extended Lagrange interpolation. Zbl 0761.41003
Gautschi, Walter
1992
Computing orthogonal polynomials in Sobolev spaces. Zbl 0830.65012
Gautschi, Walter; Zhang, Minda
1995
On inverses of Vandermonde and confluent Vandermonde matrices. III. Zbl 0362.15002
Gautschi, Walter
1978
Gautschi, Walter; Li, Shikang
1991
Computational aspects of orthogonal polynomials. Zbl 0697.42017
Gautschi, Walter
1990
On the computation of generalized Fermi-Dirac and Bose-Einstein integrals. Zbl 0855.65011
Gautschi, Walter
1993
On computing Gauss-Kronrod quadrature formulae. Zbl 0631.65016
Caliò, Franca; Gautschi, Walter; Marchetti, Elena
1986
Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series. Zbl 0576.65011
1985
Polynomials orthogonal on the semicircle. II. Zbl 0658.42027
Gautschi, Walter; Landau, Henry J.; Milovanović, Gradimir V.
1987
Erratum to: Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type. Zbl 0691.41028
Gautschi, W.; Notaris, S. E.
1989
Recursive computation of certain integrals. Zbl 0097.12201
Gautschi, Walter
1961
Anomalous convergence of a continued fraction for ratios of Kummer functions. Zbl 0373.33002
Gautschi, Walter
1977
Algorithm 542: Incomplete Gamma functions [S14]. Zbl 0434.65007
Gautschi, Walter
1979
Gauss quadrature routines for two classes of logarithmic weight functions. Zbl 1200.65019
Gautschi, Walter
2010
Optimally scaled and optimally conditioned vandermonde and Vandermonde-like matrices. Zbl 1214.65021
Gautschi, Walter
2011
An algorithmic implementation of the generalized Christoffel theorem. Zbl 0518.65006
Gautschi, Walter
1982
On inverses of Vandermonde and confluent Vandermonde matrices. II. Zbl 0115.34303
Gautschi, W.
1963
Corrections to ”On the remainder term for analytic functions of Gauss- Lobatto and Gauss-Radau quadratures”. Zbl 0768.41027
Gautschi, Walter
1991
Orthogonal polynomials and quadrature. Zbl 0963.33004
Gautschi, Walter
1999
Questions of numerical condition related to polynomials. Zbl 0457.65026
Gautschi, Walter
1978
Moments in quadrature problems. Zbl 0930.65011
Gautschi, Walter
1997
Gautschi, Walter; Yanagiwara, Hiroki
1974
Discrete approximations to spherically symmetric distributions. Zbl 0508.65012
Gautschi, Walter
1984
Quadrature formulae on half-infinite intervals. Zbl 0734.65007
Gautschi, Walter
1991
Spline approximations to spherically symmetric distributions. Zbl 0586.41009
1986
Stieltjes polynomials and related quadrature formulae for a class of weight functions. Zbl 0853.41019
Gautschi, Walter; Notaris, Sotirios E.
1996
Orthogonal polynomials, quadrature, and approximation: computational methods and software (in Matlab). Zbl 1101.41029
Gautschi, Walter
2006
Expansions of the exponential integral in incomplete gamma functions. Zbl 1058.33002
Gautschi, Walter; Harris, F. E.; Temme, N. M.
2003
Leonhard Euler: his life, the man, and his works. Zbl 1138.01010
Gautschi, Walter
2008
The condition of orthogonal polynomials. Zbl 0261.33009
Gautschi, Walter
1972
Computing polynomials orthogonal with respect to densely oscillating and exponentially decaying weight functions and related integrals. Zbl 1076.65019
Gautschi, Walter
2005
Generalized Gauss-Radau and Gauss-Lobatto formulae. Zbl 1076.65023
Gautschi, Walter
2004
How and how not to check Gaussian quadrature formulae. Zbl 0518.65007
Gautschi, Walter
1983
How (un)stable are Vandermonde systems? Zbl 0707.15003
Gautschi, Walter
1990
Recursive computation of the repeated integrals of the error function. Zbl 0099.11401
Gautschi, Walter
1961
Exponential integral $$\int_ 1^ \infty e^{-^ xt} t^{-n}dt$$ for large values of $$n$$. Zbl 0118.32604
Gautschi, Walter
1959
On the condition of a matrix arising in the numerical inversion of the Laplace transform. Zbl 0182.50204
Gautschi, W.
1969
On Padé approximants associated with Hamburger series. Zbl 0571.41013
Gautschi, Walter
1983
Supplement to Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series. Zbl 0576.65012
1985
A class of slowly convergent series and their summation by Gaussian quadrature. Zbl 0739.40002
Gautschi, Walter
1991
A software repository for Gaussian quadratures and Christoffel functions. Zbl 07314178
Gautschi, Walter
2021
A software repository for orthogonal polynomials. Zbl 1398.33001
Gautschi, Walter
2018
On the zeros of subrange Jacobi polynomials. Zbl 1403.33009
Gautschi, Walter
2018
Orthogonal polynomials in MATLAB: exercises and solutions. Zbl 1369.33001
Gautschi, Walter
2016
Algorithm 957: Evaluation of the repeated integral of the coerror function by half-range Gauss-Hermite quadrature. Zbl 1347.65052
Gautschi, Walter
2016
High-precision Gauss-Turán quadrature rules for Laguerre and Hermite weight functions. Zbl 1298.65041
Gautschi, Walter
2014
Walter Gautschi, Volume 3. Selected works with commentaries. Edited by Claude Brezinski and Ahmed Sameh. Zbl 1292.01007
Gautschi, Walter
2014
Repeated modifications of orthogonal polynomials by linear divisors. Zbl 1269.65024
Gautschi, Walter
2013
Neutralizing nearby singularities in numerical quadrature. Zbl 1279.65030
Gautschi, Walter
2013
Numerical analysis. 2nd ed. Zbl 1378.65002
Gautschi, Walter
2012
Sub-range Jacobi polynomials. Zbl 1257.65011
Gautschi, Walter
2012
Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics. Zbl 1257.65012
Gautschi, Walter
2012
Interpolation before and after Lagrange. Zbl 1305.41002
Gautschi, Walter
2012
Optimally scaled and optimally conditioned vandermonde and Vandermonde-like matrices. Zbl 1214.65021
Gautschi, Walter
2011
The Lambert W-functions and some of their integrals: A case study of high-precision computation. Zbl 1215.65042
Gautschi, Walter
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
2011
Gauss quadrature routines for two classes of logarithmic weight functions. Zbl 1200.65019
Gautschi, Walter
2010
The spiral of Theodorus, numerical analysis, and special functions. Zbl 1201.01004
Gautschi, Walter
2010
Alexander M. Ostrowski (1893–1986): His life, work, and students. Zbl 1209.01071
Gautschi, Walter
2010
How sharp is Bernstein’s inequality for Jacobi polynomials? Zbl 1189.33016
Gautschi, Walter
2009
Variable-precision recurrence coefficients for nonstandard orthogonal polynomials. Zbl 1178.65026
Gautschi, Walter
2009
High-order generalized Gauss-Radau and Gauss-Lobatto formulae for Jacobi and Laguerre weight functions. Zbl 1167.65347
Gautschi, Walter
2009
On conjectured inequalities for zeros of Jacobi polynomials. Zbl 1165.33009
Gautschi, Walter
2009
New conjectured inequalities for zeros of Jacobi polynomials. Zbl 1168.33001
Gautschi, Walter
2009
Leonhard Euler: his life, the man, and his works. Zbl 1138.01010
Gautschi, Walter
2008
On a conjectured inequality for the largest zero of Jacobi polynomials. Zbl 1167.33003
Gautschi, Walter
2008
Luigi Gatteschi’s work on asymptotics of special functions and their zeros. Zbl 1170.26007
Gautschi, Walter; Giordano, Carla
2008
The numerical evaluation of a challenging integral. Zbl 1162.65012
Gautschi, Walter
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
2008
Conjectured inequalities for Jacobi polynomials and their largest zeros. Zbl 1124.33009
Gautschi, Walter; Leopardi, Paul
2007
Leonhard Euler’s handling of slowly convergent series. (Leonhard Eulers Umgang mit langsam konvergenten Reihen.) Zbl 1390.41035
Gautschi, Walter
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.
2007
Orthogonal polynomials, quadrature, and approximation: computational methods and software (in Matlab). Zbl 1101.41029
Gautschi, Walter
2006
The circle theorem and related theorems for Gauss-type quadrature rules. Zbl 1115.65024
Gautschi, Walter
2006
Computing the Kontorovich-Lebedev integral transforms and their inverses. Zbl 1091.65128
Gautschi, Walter
2006
Orthogonal polynomials (in Matlab). Zbl 1067.65023
Gautschi, Walter
2005
Computing polynomials orthogonal with respect to densely oscillating and exponentially decaying weight functions and related integrals. Zbl 1076.65019
Gautschi, Walter
2005
A historical note on Gauss-Kronrod quadrature. Zbl 1087.65020
Gautschi, Walter
2005
The Hardy-Littlewood function: an exercise in slowly convergent series. Zbl 1066.40003
Gautschi, Walter
2005
Numerical quadrature computation of the Macdonald function for complex orders. Zbl 1082.65026
Gautschi, Walter
2005
Orthogonal polynomials. Computation and approximation. Zbl 1130.42300
Gautschi, Walter
2004
Generalized Gauss-Radau and Gauss-Lobatto formulae. Zbl 1076.65023
Gautschi, Walter
2004
Expansions of the exponential integral in incomplete gamma functions. Zbl 1058.33002
Gautschi, Walter; Harris, F. E.; Temme, N. M.
2003
The interplay between classical analysis and (numerical) linear algebra – a tribute to Gene H. Golub. Zbl 1065.65049
Gautschi, Walter
2002
Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions. Zbl 0998.65032
Gautschi, Walter
2002
Computation of Bessel and Airy functions and of related Gaussian quadrature formulae. Zbl 0997.65042
Gautschi, Walter
2002
The use of rational functions in numerical quadrature. Zbl 0985.65017
Gautschi, Walter
2001
Remark: Barycentric formulae for cardinal (SINC-) interpolants by Jean-Paul Berrut. Zbl 0973.65008
Gautschi, Walter
2001
Computing the Hilbert transform of the generalized Laguerre and Hermite weight functions. Zbl 0988.65123
Gautschi, Walter; Waldvogel, Jörg
2001
Gander, Walter; Gautschi, Walter
2000
Gauss-Radau formulae for Jacobi and Laguerre weight functions. Zbl 0981.41017
Gautschi, Walter
2000
Gauss quadrature for refineable weight functions. Zbl 0954.65018
Gautschi, Walter; Gori, Laura; Pitolli, Francesca
2000
Quadrature rules for rational functions. Zbl 0968.65014
Gautschi, Walter; Gori, Laura; Lo Cascio, M. Laura
2000
High-order Gauss-Lobatto formulae. Zbl 0979.65021
Gautschi, Walter
2000
Algorithm 793: GQRAT – Gauss quadrature for rational functions. Zbl 0961.65019
Gautschi, Walter
1999
Orthogonal polynomials and quadrature. Zbl 0963.33004
Gautschi, Walter
1999
A note on the recursive calculation of incomplete gamma functions. Zbl 0962.65018
Gautschi, Walter
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
1999
The incomplete gamma functions since Tricomi. Zbl 0965.33001
Gautschi, Walter
1998
Remark on Algorithm 726: ORTHPOL – a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules. Zbl 0932.65018
Gautschi, Walter
1998
Numerical analysis. An introduction. Zbl 0877.65001
Gautschi, Walter
1997
Zeros and critical points of Sobolev orthogonal polynomials. Zbl 0897.42014
Gautschi, Walter; Kuijlaars, A. B. J.
1997
$$S$$-orthogonality and construction of Gauss-Turán-type quadrature formulae. Zbl 0890.65021
1997
Moments in quadrature problems. Zbl 0930.65011
Gautschi, Walter
1997
The computation of special functions by linear difference equations. Zbl 0892.65008
Gautschi, Walter
1997
On the computation of special Sobolev-type orthogonal polynomials. Zbl 0887.65018
Gautschi, Walter
1997
Orthogonal polynomials: Applications and computation. Zbl 0871.65011
Gautschi, Walter
1996
Stieltjes polynomials and related quadrature formulae for a class of weight functions. Zbl 0853.41019
Gautschi, Walter; Notaris, Sotirios E.
1996
On quadrature convergence of extended Lagrange interpolation. Zbl 0862.41001
Gautschi, Walter; Li, Shikang
1996
Computing orthogonal polynomials in Sobolev spaces. Zbl 0830.65012
Gautschi, Walter; Zhang, Minda
1995
Luigi Gatteschi’s work on special functions and numerical analysis. Zbl 0827.65020
Gautschi, Walter
1995
The work of Philip Rabinowitz on numerical integration. Zbl 0840.65012
Gautschi, Walter
1995
Algorithm 726: ORTHPOL – a package for routines for generating orthogonal polynomials and Gauss-type quadrature rules. Zbl 0888.65013
Gautschi, W.
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
1994
Summation of slowly convergent series. Zbl 0799.65005
Gautschi, Walter
1994
Gauss-type quadrature rules for rational functions. Zbl 0802.65019
Gautschi, Walter
1993
A set of orthogonal polynomials induced by a given orthogonal polynomial. Zbl 0785.33004
Gautschi, Walter; Li, Shikang
1993
Spirals. From Theodorus to chaos. With contributions by Walter Gautschi and Arieh Iserles. Zbl 0940.00002
Davis, Philip J.
1993
On the computation of generalized Fermi-Dirac and Bose-Einstein integrals. Zbl 0855.65011
Gautschi, Walter
1993
Is the recurrence relation for orthogonal polynomials always stable? Zbl 0783.65009
Gautschi, Walter
1993
Remainder estimates for analytic functions. Zbl 0754.41026
Gautschi, Walter
1992
On mean convergence of extended Lagrange interpolation. Zbl 0761.41003
Gautschi, Walter
1992
Spline approximation and quadrature formulae. Zbl 0774.41030
Gautschi, Walter
1992
On the remainder term for analytic functions of Gauss-Lobatto and Gauss- Radau quadratures. Zbl 0749.41026
Gautschi, Walter
1991
Gautschi, Walter; Li, Shikang
1991
Corrections to ”On the remainder term for analytic functions of Gauss- Lobatto and Gauss-Radau quadratures”. Zbl 0768.41027
Gautschi, Walter
1991
Quadrature formulae on half-infinite intervals. Zbl 0734.65007
Gautschi, Walter
1991
A class of slowly convergent series and their summation by Gaussian quadrature. Zbl 0739.40002
Gautschi, Walter
1991
On certain slowly convergent series occurring in plate contact problems. Zbl 0739.40003
Gautschi, Walter
1991
Computational problems and applications of orthogonal polynomials. Zbl 0830.65011
Gautschi, Walter
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.
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
1990
Computational aspects of orthogonal polynomials. Zbl 0697.42017
Gautschi, Walter
1990
How (un)stable are Vandermonde systems? Zbl 0707.15003
Gautschi, Walter
1990
Vandermonde matrices on the circle: Spectral properties and conditioning. Zbl 0706.15004
Córdova, Antonio; Gautschi, Walter; Ruscheweyh, Stephan
1990
Vandermonde matrices on the circle: Spectral properties and conditioning. Zbl 0728.15003
Córdova, Antonio; Gautschi, Walter; Ruscheweyh, Stephan
1990
Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type. Zbl 0677.41028
Gautschi, Walter; Notaris, Sotorios E.
1989
Erratum to: Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type. Zbl 0691.41028
Gautschi, W.; Notaris, S. E.
1989
Orthogonality - conventional and unconventional - in numerical analysis. Zbl 0686.41022
Gautschi, Walter
1989
On the zeros of polynomials orthogonal on the semicircle. Zbl 0676.30005
Gautschi, Walter
1989
...and 77 more Documents
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### Cited by 2,330 Authors

 89 Gautschi, Walter 63 Milovanović, Gradimir V. 47 Reichel, Lothar 46 Spalević, Miodrag M. 30 Masjed-Jamei, Mohammad 28 Kou, Jisheng 24 Dehghan Takht Fooladi, Mehdi 24 Marcellán Español, Francisco 24 Notaris, Sotirios E. 20 Alzer, Horst 19 González-Vera, Pablo 19 Hasegawa, Takemitsu 18 Li, Yitian 18 Wu, Xinyuan 17 Eslahchi, Mohammad Reza 16 Pejčev, Aleksandar V. 15 Bultheel, Adhemar François 15 Cvetković, Aleksandar S. 15 Golub, Gene Howard 15 Wang, Xiuhua 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 Olver, Sheehan Shakiban 10 Piessens, Robert 10 Shizgal, Bernie D. 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 Segura, Javier 9 Sharma, Rajni 9 Sri Ranga, Alagacone 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 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 Ehrich, Sven 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 Bracciali, Cleonice Fátima ...and 2,230 more Authors
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### Cited in 343 Serials

 273 Journal of Computational and Applied Mathematics 152 Applied Mathematics and Computation 132 Numerical Algorithms 129 Mathematics of Computation 95 Numerische Mathematik 65 BIT 62 Applied Numerical Mathematics 60 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 24 Calcolo 23 Computer Methods in Applied Mechanics and Engineering 18 Advances in Computational Mathematics 16 Computer Physics Communications 16 SIAM Journal on Numerical Analysis 16 Journal of Inequalities and Applications 14 Journal of Mathematical Physics 14 Computing 14 Applied Mathematics Letters 13 Journal of Mathematical Chemistry 12 SIAM Journal on Matrix Analysis and Applications 12 Applied and Computational Harmonic Analysis 11 Proceedings of the American Mathematical Society 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. Theory and Methods 8 Applicable Analysis 8 ZAMP. Zeitschrift für angewandte Mathematik und Physik 8 Mathematical and Computer Modelling 8 Computational Statistics and Data Analysis 8 ETNA. Electronic Transactions on Numerical Analysis 7 Rocky Mountain Journal of Mathematics 7 Journal of Complexity 7 Constructive Approximation 7 Communications in Statistics. Simulation and Computation 7 Integral Transforms and Special Functions 7 Foundations of Computational Mathematics 7 Advances in Difference Equations 7 BIT. Nordisk Tidskrift for Informationsbehandling 6 International Journal for Numerical Methods in Engineering 6 Mathematics and Computers in Simulation 6 Acta Applicandae Mathematicae 6 Computational and Applied Mathematics 6 Statistics and Computing 5 Journal of Engineering Mathematics 5 Journal of Statistical Physics 5 Journal of Multivariate Analysis 5 Computer Aided Geometric Design 5 Journal of Integral Equations and Applications 5 Indagationes Mathematicae. New Series 5 Filomat 5 Mathematical Problems in Engineering 5 The Ramanujan Journal 5 Computational Geosciences 5 Journal of Applied Mathematics 5 Mediterranean Journal of Mathematics 5 Applicable Analysis and Discrete Mathematics 4 Communications in Mathematical Physics 4 Journal of the Franklin Institute 4 Advances in Mathematics 4 Automatica 4 Journal of Econometrics 4 Numerical Functional Analysis and Optimization 4 Theoretical Computer Science 4 Numerical Methods for Partial Differential Equations 4 Japan Journal of Industrial and Applied Mathematics 4 Applied Mathematical Modelling 4 SIAM Journal on Applied Mathematics 4 Mathematical Programming. Series A. Series B 4 Numerical Linear Algebra with Applications 4 Engineering Analysis with Boundary Elements 4 Discrete and Continuous Dynamical Systems 4 Abstract and Applied Analysis 4 Mathematical Inequalities & Applications 4 Journal of Integer Sequences 4 Multiscale Modeling & Simulation 4 Communications in Computational Physics 4 Journal of Computational and Theoretical Transport 3 Inverse Problems 3 Periodica Mathematica Hungarica 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 ...and 243 more Serials
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### Cited in 55 Fields

 1,403 Numerical analysis (65-XX) 510 Approximations and expansions (41-XX) 432 Special functions (33-XX) 237 Harmonic analysis on Euclidean spaces (42-XX) 158 Ordinary differential equations (34-XX) 137 Partial differential equations (35-XX) 114 Linear and multilinear algebra; matrix theory (15-XX) 108 Real functions (26-XX) 106 Statistics (62-XX) 94 Functions of a complex variable (30-XX) 85 Probability theory and stochastic processes (60-XX) 61 Quantum theory (81-XX) 50 Difference and functional equations (39-XX) 48 Fluid mechanics (76-XX) 45 Statistical mechanics, structure of matter (82-XX) 44 Integral transforms, operational calculus (44-XX) 42 Operator theory (47-XX) 41 Computer science (68-XX) 40 Number theory (11-XX) 40 Dynamical systems and ergodic theory (37-XX) 40 Sequences, series, summability (40-XX) 38 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) 22 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 Measure and integration (28-XX) 13 Mechanics of particles and systems (70-XX) 11 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 General and overarching topics; collections (00-XX) 4 Abstract harmonic analysis (43-XX) 4 Convex and discrete geometry (52-XX) 2 Commutative algebra (13-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Geometry (51-XX) 2 Differential geometry (53-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 Mathematics education (97-XX)

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