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Author ID: gautschi.walter Recent zbMATH articles by "Gautschi, Walter"
Published as: Gautschi, Walter; Gautschi, W.
Homepage: https://www.math.unibas.ch/institut/personen/profil/profil/person/gautschi/index...
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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

Publications by Year

Citations contained in zbMATH Open

185 Publications have been cited 3,950 times in 2,635 Documents Cited by Year
Orthogonal polynomials. Computation and approximation. Zbl 1130.42300
Gautschi, Walter
560
2004
Numerical integration of ordinary differential equations based on trigonometric polynomials. Zbl 0163.39002
Gautschi, Walter
234
1961
Computational aspects of three-term recurrence relations. Zbl 0168.15004
Gautschi, Walter
231
1967
Numerical analysis. An introduction. Zbl 0877.65001
Gautschi, Walter
226
1997
On generating orthogonal polynomials. Zbl 0482.65011
Gautschi, Walter
151
1982
Some elementary inequalities relating to the gamma and incomplete gamma function. Zbl 0094.04104
Gautschi, Walter
116
1959
Construction of Gauss-Christoffel quadrature formulas. Zbl 0187.10603
Gautschi, Walter
87
1968
A survey of Gauss-Christoffel quadrature formulae. Zbl 0479.65001
Gautschi, Walter
84
1981
Algorithm 726: ORTHPOL – a package for routines for generating orthogonal polynomials and Gauss-type quadrature rules. Zbl 0888.65013
Gautschi, W.
83
1994
Error bounds for Gaussian quadrature of analytic functions. Zbl 0545.41040
Gautschi, Walter; Varga, Richard S.
80
1983
On the construction of Gaussian quadrature rules from modified moments. Zbl 0213.16701
Gautschi, Walter
66
1970
On inverses of Vandermonde and confluent Vandermonde matrices. Zbl 0108.12501
Gautschi, Walter
66
1962
Orthogonal polynomials: Applications and computation. Zbl 0871.65011
Gautschi, Walter
64
1996
Numerical analysis. 2nd ed. Zbl 1378.65002
Gautschi, Walter
57
2012
Adaptive quadrature – Revisited. Zbl 0961.65018
Gander, Walter; Gautschi, Walter
55
2000
Lower bounds for the condition number of Vandermonde matrices. Zbl 0646.15003
Gautschi, Walter; Inglese, Gabriele
53
1988
An algorithm for simultaneous orthogonal transformation of several positive definite symmetric matrices to nearly diagonal form. Zbl 0614.65043
Flury, Bernhard N.; Gautschi, Walter
44
1986
Gauss-Kronrod quadrature - a survey. Zbl 0691.41027
Gautschi, Walter
41
1988
Norm estimates for inverses of Vandermonde matrices. Zbl 0304.65031
Gautschi, Walter
41
1975
Efficient computation of the complex error function. Zbl 0204.48304
Gautschi, Walter
40
1970
Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type. Zbl 0677.41028
Gautschi, Walter; Notaris, Sotorios E.
38
1989
Orthogonal polynomials - Constructive theory and applications. Zbl 0583.65011
Gautschi, Walter
38
1985
The interplay between classical analysis and (numerical) linear algebra – a tribute to Gene H. Golub. Zbl 1065.65049
Gautschi, Walter
35
2002
The incomplete gamma functions since Tricomi. Zbl 0965.33001
Gautschi, Walter
33
1998
Orthogonal polynomials (in Matlab). Zbl 1067.65023
Gautschi, Walter
30
2005
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
How (un)stable are Vandermonde systems? Zbl 0707.15003
Gautschi, Walter
27
1990
An algorithmic implementation of the generalized Christoffel theorem. Zbl 0518.65006
Gautschi, Walter
26
1982
Polynomials orthogonal on the semicircle. Zbl 0604.42024
Gautschi, Walter; Milovanović, Gradimir V.
26
1986
Computational aspects of orthogonal polynomials. Zbl 0697.42017
Gautschi, Walter
24
1990
Questions of numerical condition related to polynomials. Zbl 0584.65020
Gautschi, Walter
23
1984
A computational procedure for incomplete gamma functions. Zbl 0429.65011
Gautschi, Walter
22
1979
Minimal solutions of three-term recurrence relations and orthogonal polynomials. Zbl 0466.33008
Gautschi, Walter
22
1981
Numerical quadrature in the presence of a singularity. Zbl 0279.65024
Gautschi, Walter
22
1967
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
22
1993
\(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae. Zbl 0890.65021
Gautschi, Walter; Milovanović, Gradimir V.
21
1997
A harmonic mean inequality for the gamma function. Zbl 0239.33002
Gautschi, Walter
20
1974
On the condition of algebraic equations. Zbl 0278.65044
Gautschi, Walter
20
1973
Orthogonal polynomials in MATLAB: exercises and solutions. Zbl 1369.33001
Gautschi, Walter
20
2016
The condition of polynomials in power form. Zbl 0399.41002
Gautschi, Walter
19
1979
Zeros and critical points of Sobolev orthogonal polynomials. Zbl 0897.42014
Gautschi, Walter; Kuijlaars, A. B. J.
19
1997
Gauss quadrature for refineable weight functions. Zbl 0954.65018
Gautschi, Walter; Gori, Laura; Pitolli, Francesca
18
2000
On the computation of generalized Fermi-Dirac and Bose-Einstein integrals. Zbl 0855.65011
Gautschi, Walter
18
1993
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
18
1987
Advances in Chebyshev quadrature. Zbl 0331.65016
Gautschi, Walter
18
1976
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
Remainder estimates for analytic functions. Zbl 0754.41026
Gautschi, Walter
17
1992
Optimally conditioned Vandermonde matrices. Zbl 0316.65005
Gautschi, Walter
17
1975
An algebraic study of Gauss-Kronrod quadrature formulae for Jacobi weight functions. Zbl 0654.65017
Gautschi, Walter; Notaris, Sotirios E.
17
1988
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
The use of rational functions in numerical quadrature. Zbl 0985.65017
Gautschi, Walter
16
2001
On the computation of modified Bessel function ratios. Zbl 0386.33006
Gautschi, Walter; Slavik, Josef
16
1978
On mean convergence of extended Lagrange interpolation. Zbl 0761.41003
Gautschi, Walter
16
1992
Zur Numerik rekurrenter Relationen. Zbl 0263.65104
Gautschi, Walter
16
1972
Quadrature rules for rational functions. Zbl 0968.65014
Gautschi, Walter; Gori, Laura; Lo Cascio, M. Laura
15
2000
Anomalous convergence of a continued fraction for ratios of Kummer functions. Zbl 0373.33002
Gautschi, Walter
14
1977
Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series. Zbl 0576.65011
Gautschi, Walter; Milovanović, Gradimir V.
14
1985
Some mean value inequalities for the gamma function. Zbl 0239.33003
Gautschi, Walter
14
1974
Algorithm 793: GQRAT – Gauss quadrature for rational functions. Zbl 0961.65019
Gautschi, Walter
14
1999
High-order Gauss-Lobatto formulae. Zbl 0979.65021
Gautschi, Walter
13
2000
A family of Gauss-Kronrod quadrature formulae. Zbl 0699.65016
Gautschi, Walter; Rivlin, Theodore J.
13
1988
Polynomials orthogonal on the semicircle. II. Zbl 0658.42027
Gautschi, Walter; Landau, Henry J.; Milovanović, Gradimir V.
13
1987
On the sensitivity of orthogonal polynomials to perturbations in the moments. Zbl 0613.65014
Gautschi, Walter
13
1986
Spirals. From Theodorus to chaos. With contributions by Walter Gautschi and Arieh Iserles. Zbl 0940.00002
Davis, Philip J.
13
1993
Recursive computation of certain integrals. Zbl 0097.12201
Gautschi, Walter
13
1961
Orthogonal polynomials, quadrature, and approximation: computational methods and software (in Matlab). Zbl 1101.41029
Gautschi, Walter
13
2006
Exponential integral \(\int_ 1^ \infty e^{-^ xt} t^{-n}dt\) for large values of \(n\). Zbl 0118.32604
Gautschi, Walter
12
1959
Gauss quadrature routines for two classes of logarithmic weight functions. Zbl 1200.65019
Gautschi, Walter
12
2010
Computing orthogonal polynomials in Sobolev spaces. Zbl 0830.65012
Gautschi, Walter; Zhang, Minda
12
1995
Erratum to: Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type. Zbl 0691.41028
Gautschi, W.; Notaris, S. E.
11
1989
Gauss-Radau and Gauss-Lobatto quadratures with double end points. Zbl 0727.65012
Gautschi, Walter; Li, Shikang
11
1991
On inverses of Vandermonde and confluent Vandermonde matrices. III. Zbl 0362.15002
Gautschi, Walter
11
1978
Generalized Gauss-Radau and Gauss-Lobatto formulae. Zbl 1076.65023
Gautschi, Walter
10
2004
Orthogonal polynomials and quadrature. Zbl 0963.33004
Gautschi, Walter
10
1999
Computational methods in special functions-A survey. Zbl 0325.33001
Gautschi, Walter
10
1975
On inverses of Vandermonde and confluent Vandermonde matrices. II. Zbl 0115.34303
Gautschi, W.
10
1963
Moments in quadrature problems. Zbl 0930.65011
Gautschi, Walter
10
1997
On computing Gauss-Kronrod quadrature formulae. Zbl 0631.65016
Caliò, Franca; Gautschi, Walter; Marchetti, Elena
10
1986
Computing polynomials orthogonal with respect to densely oscillating and exponentially decaying weight functions and related integrals. Zbl 1076.65019
Gautschi, Walter
9
2005
Algorithm 542: Incomplete Gamma functions [S14]. Zbl 0434.65007
Gautschi, Walter
9
1979
On generating Gaussian quadrature rules. Zbl 0423.65013
Gautschi, Walter
9
1979
Questions of numerical condition related to polynomials. Zbl 0457.65026
Gautschi, Walter
9
1978
Quadrature formulae on half-infinite intervals. Zbl 0734.65007
Gautschi, Walter
9
1991
Spline approximations to spherically symmetric distributions. Zbl 0586.41009
Gautschi, Walter; Milovanović, Gradimir V.
9
1986
The condition of orthogonal polynomials. Zbl 0261.33009
Gautschi, Walter
9
1972
Optimally scaled and optimally conditioned vandermonde and Vandermonde-like matrices. Zbl 1214.65021
Gautschi, Walter
9
2011
Expansions of the exponential integral in incomplete gamma functions. Zbl 1058.33002
Gautschi, Walter; Harris, F. E.; Temme, N. M.
8
2003
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
On a conjectured inequality for the largest zero of Jacobi polynomials. Zbl 1167.33003
Gautschi, Walter
8
2008
On the condition of a matrix arising in the numerical inversion of the Laplace transform. Zbl 0182.50204
Gautschi, W.
8
1969
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
On Chebyshev-type quadratures. Zbl 0292.65005
Gautschi, Walter; Yanagiwara, Hiroki
8
1974
Leonhard Euler: his life, the man, and his works. Zbl 1138.01010
Gautschi, Walter
8
2008
A software repository for orthogonal polynomials. Zbl 1398.33001
Gautschi, Walter
8
2018
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
8
2018
Binet-type polynomials and their zeros. Zbl 1406.33010
Gautschi, Walter; Milovanović, Gradimir V.
1
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
20
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 2. Selected works with commentaries. Edited by Claude Brezinski and Ahmed Sameh. Zbl 1292.01006
Gautschi, Walter
1
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
Erratum to: “Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics”. Zbl 1292.65026
Gautschi, Walter
2
2013
Neutralizing nearby singularities in numerical quadrature. Zbl 1279.65030
Gautschi, Walter
2
2013
Numerical analysis. 2nd ed. Zbl 1378.65002
Gautschi, Walter
57
2012
Sub-range Jacobi polynomials. Zbl 1257.65011
Gautschi, Walter
6
2012
Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics. Zbl 1257.65012
Gautschi, Walter
6
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
High-order generalized Gauss-Radau and Gauss-Lobatto formulae for Jacobi and Laguerre weight functions. Zbl 1167.65347
Gautschi, Walter
7
2009
How sharp is Bernstein’s inequality for Jacobi polynomials? Zbl 1189.33016
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
3
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
8
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
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.
3
2007
Leonhard Euler’s handling of slowly convergent series. (Leonhard Eulers Umgang mit langsam konvergenten Reihen.) Zbl 1390.41035
Gautschi, Walter
2
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
6
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
30
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
560
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
35
2002
Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions. Zbl 0998.65032
Gautschi, Walter
7
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
16
2001
Computing the Hilbert transform of the generalized Laguerre and Hermite weight functions. Zbl 0988.65123
Gautschi, Walter; Waldvogel, Jörg
3
2001
Remark: Barycentric formulae for cardinal (SINC-) interpolants by Jean-Paul Berrut. Zbl 0973.65008
Gautschi, Walter
3
2001
Adaptive quadrature – Revisited. Zbl 0961.65018
Gander, Walter; Gautschi, Walter
55
2000
Gauss quadrature for refineable weight functions. Zbl 0954.65018
Gautschi, Walter; Gori, Laura; Pitolli, Francesca
18
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
15
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
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
3
1999
A note on the recursive calculation of incomplete gamma functions. Zbl 0962.65018
Gautschi, Walter
2
1999
The incomplete gamma functions since Tricomi. Zbl 0965.33001
Gautschi, Walter
33
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
226
1997
\(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae. Zbl 0890.65021
Gautschi, Walter; Milovanović, Gradimir V.
21
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
10
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
64
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
12
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.
83
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
22
1993
On the computation of generalized Fermi-Dirac and Bose-Einstein integrals. Zbl 0855.65011
Gautschi, Walter
18
1993
Spirals. From Theodorus to chaos. With contributions by Walter Gautschi and Arieh Iserles. Zbl 0940.00002
Davis, Philip J.
13
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
17
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
4
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
How (un)stable are Vandermonde systems? Zbl 0707.15003
Gautschi, Walter
27
1990
Computational aspects of orthogonal polynomials. Zbl 0697.42017
Gautschi, Walter
24
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
...and 85 more Documents
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Cited by 2,944 Authors

92 Gautschi, Walter
71 Milovanović, Gradimir V.
58 Reichel, Lothar
58 Spalević, Miodrag M.
34 Masjed-Jamei, Mohammad
32 Marcellán Español, Francisco
28 Kou, Jisheng
25 Dehghan Takht Fooladi, Mehdi
24 Notaris, Sotirios E.
21 Alzer, Horst
21 González-Vera, Pablo
20 Eslahchi, Mohammad Reza
20 Hasegawa, Takemitsu
19 Pejčev, Aleksandar V.
18 Li, Yitian
18 Vianello, Marco
18 Wu, Xinyuan
16 Cvetković, Aleksandar S.
16 Pranic, Miroslav S.
16 Temme, Nico M.
15 Bultheel, Adhemar François
15 Golub, Gene Howard
15 Sommariva, Alvise
15 Wang, Xiuhua
14 Chun, Changbum
13 Đukić, Dušan Lj.
13 Olver, Sheehan Shakiban
13 Rández, Luis
13 Shizgal, Bernie D.
12 Franco, J. Méndez
12 Piessens, Robert
12 Segura, Javier
12 Stanić, Marija P.
12 Sugiura, Hiroshi
12 Yang, Zhenhang
12 You, Xiong
11 Mastroianni, Giuseppe
11 Moreno-Balcázar, Juan José
11 Narayan, Akil C.
11 Sri Ranga, Alagacone
11 Xiang, Shuhuang
10 Fang, Yonglei
10 Van Assche, Walter
9 Chu, Yuming
9 Dominici, Diego Ernesto
9 Li, Jiyong
9 López Lagomasino, Guillermo Tomás
9 Mantica, Giorgio
9 Montijano, Juan Ignacio
9 Njåstad, Olav
9 Occorsio, Donatella
9 Pan, Victor Yakovlevich
9 Sharma, Rajni
9 Simos, Theodore E.
9 Vanden Berghe, Guido
9 Xu, Yuan
9 Zhao, Xiaofei
8 Bao, Weizhu
8 Barry, Paul
8 Barton, Michael H.
8 Berrut, Jean-Paul
8 Cruz-Barroso, Ruymán
8 Deaño, Alfredo
8 Ehrich, Sven
8 Hashemiparast, S. M.
8 Huybrechs, Daan
8 Jones, William Branham
8 Laurie, Dirk P.
8 Mañas, Manuel
8 Pérez, Teresa E.
8 Pijeira-Cabrera, Héctor
8 Qi, Feng
8 Sharma, Janak Raj
8 Wang, Haiyong
7 Area, Iván
7 Brugnano, Luigi
7 Cai, Yongyong
7 Calabró, Francesco
7 Calvo, Manuel
7 Eisinberg, Alfredo
7 Farouki, Rida T.
7 Fermo, Luisa
7 Garcia, Roberto D. M.
7 Grau-Sánchez, Miquel
7 Jagels, Carl F.
7 Karniadakis, George Em
7 Magnus, Alphonse Ph.
7 Martínez-Finkelshtein, Andrei
7 Meurant, Gérard A.
7 Neta, Beny
7 Piñar, Miguel A.
7 Rodriguez, Giuseppe
7 Strakoš, Zdeněk
7 Van Daele, Marnix
7 Van Deun, Joris
6 Beckermann, Bernhard
6 Bespalov, Alexei
6 Branders, Maria
6 Cachafeiro, Alicia
6 Calvetti, Daniela
...and 2,844 more Authors
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Cited in 392 Serials

315 Journal of Computational and Applied Mathematics
170 Applied Mathematics and Computation
150 Numerical Algorithms
130 Mathematics of Computation
104 Journal of Computational Physics
98 Numerische Mathematik
72 Applied Numerical Mathematics
69 BIT
63 Linear Algebra and its Applications
60 Computers & Mathematics with Applications
53 Journal of Approximation Theory
49 Computer Physics Communications
36 International Journal of Computer Mathematics
35 SIAM Journal on Scientific Computing
32 Computer Methods in Applied Mechanics and Engineering
31 Journal of Scientific Computing
30 Journal of Mathematical Analysis and Applications
27 Calcolo
23 Advances in Computational Mathematics
20 Applied Mathematics Letters
19 SIAM Journal on Numerical Analysis
18 Journal of Inequalities and Applications
17 Mathematical Methods in the Applied Sciences
15 Journal of Mathematical Physics
14 Computing
14 SIAM Journal on Matrix Analysis and Applications
14 Applied and Computational Harmonic Analysis
14 ETNA. Electronic Transactions on Numerical Analysis
14 Journal of Mathematical Chemistry
12 International Journal for Numerical Methods in Engineering
12 Proceedings of the American Mathematical Society
12 Journal of Difference Equations and Applications
11 Mathematics and Computers in Simulation
11 SIAM Review
10 Communications in Statistics. Theory and Methods
10 Numerical Linear Algebra with Applications
10 Computational and Applied Mathematics
10 Statistics and Computing
10 SIAM/ASA Journal on Uncertainty Quantification
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 Integral Transforms and Special Functions
8 Foundations of Computational Mathematics
8 Advances in Difference Equations
7 Rocky Mountain Journal of Mathematics
7 Automatica
7 Studies in Applied Mathematics
7 Applied Mathematical Modelling
7 Communications in Statistics. Simulation and Computation
7 Indagationes Mathematicae. New Series
7 Engineering Analysis with Boundary Elements
7 Mathematical Problems in Engineering
7 Computational Geosciences
7 Mediterranean Journal of Mathematics
7 BIT. Nordisk Tidskrift for Informationsbehandling
7 Journal of Physics A: Mathematical and Theoretical
6 Journal of Engineering Mathematics
6 Numerical Functional Analysis and Optimization
6 Acta Applicandae Mathematicae
6 Computer Aided Geometric Design
6 Numerical Methods for Partial Differential Equations
6 Filomat
6 The Ramanujan Journal
6 Communications in Nonlinear Science and Numerical Simulation
6 Journal of Applied Mathematics
6 Applicable Analysis and Discrete Mathematics
5 Journal of the Franklin Institute
5 Journal of Statistical Physics
5 Advances in Mathematics
5 Journal of Econometrics
5 Journal of Multivariate Analysis
5 Physica D
5 Journal of Integral Equations and Applications
5 Annals of Physics
5 Mathematical Inequalities & Applications
5 Journal of Computational and Theoretical Transport
4 Communications in Mathematical Physics
4 Periodica Mathematica Hungarica
4 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
4 Journal of Functional Analysis
4 Theoretical Computer Science
4 Transactions of the American Mathematical Society
4 Japan Journal of Industrial and Applied Mathematics
4 SIAM Journal on Applied Mathematics
4 Mathematical Programming. Series A. Series B
4 Discrete and Continuous Dynamical Systems
4 The Journal of Fourier Analysis and Applications
4 Abstract and Applied Analysis
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
...and 292 more Serials
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Cited in 59 Fields

1,699 Numerical analysis (65-XX)
601 Approximations and expansions (41-XX)
541 Special functions (33-XX)
290 Harmonic analysis on Euclidean spaces (42-XX)
184 Partial differential equations (35-XX)
181 Ordinary differential equations (34-XX)
137 Linear and multilinear algebra; matrix theory (15-XX)
136 Real functions (26-XX)
130 Statistics (62-XX)
109 Probability theory and stochastic processes (60-XX)
108 Functions of a complex variable (30-XX)
88 Quantum theory (81-XX)
71 Fluid mechanics (76-XX)
63 Statistical mechanics, structure of matter (82-XX)
57 Integral transforms, operational calculus (44-XX)
55 Number theory (11-XX)
55 Difference and functional equations (39-XX)
54 Computer science (68-XX)
52 Operator theory (47-XX)
49 Integral equations (45-XX)
48 Dynamical systems and ergodic theory (37-XX)
46 Sequences, series, summability (40-XX)
43 Systems theory; control (93-XX)
43 Information and communication theory, circuits (94-XX)
42 Operations research, mathematical programming (90-XX)
40 Mechanics of deformable solids (74-XX)
32 Combinatorics (05-XX)
29 Calculus of variations and optimal control; optimization (49-XX)
28 Biology and other natural sciences (92-XX)
26 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
23 Functional analysis (46-XX)
20 Mechanics of particles and systems (70-XX)
18 Optics, electromagnetic theory (78-XX)
15 Relativity and gravitational theory (83-XX)
14 Measure and integration (28-XX)
13 History and biography (01-XX)
12 Classical thermodynamics, heat transfer (80-XX)
12 Geophysics (86-XX)
10 Astronomy and astrophysics (85-XX)
9 Field theory and polynomials (12-XX)
7 Algebraic geometry (14-XX)
7 Convex and discrete geometry (52-XX)
5 General and overarching topics; collections (00-XX)
5 Differential geometry (53-XX)
5 Global analysis, analysis on manifolds (58-XX)
4 Commutative algebra (13-XX)
4 Abstract harmonic analysis (43-XX)
3 Potential theory (31-XX)
3 Several complex variables and analytic spaces (32-XX)
2 Topological groups, Lie groups (22-XX)
2 Geometry (51-XX)
2 General topology (54-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 Algebraic topology (55-XX)
1 Manifolds and cell complexes (57-XX)
1 Mathematics education (97-XX)

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