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Gautschi, Walter

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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...
External Links: MGP · ORCID · Wikidata · ResearchGate · dblp · GND · IdRef
Documents Indexed: 221 Publications since 1951, including 14 Books
Biographic References: 9 Publications
all top 5

Serials

26 Mathematics of Computation
25 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 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 The Mathematical Intelligencer
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 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 Springer Optimization and Its Applications
1 Numerical Mathematics and Scientific Computation

Publications by Year

Citations contained in zbMATH Open

173 Publications have been cited 2,938 times in 1,996 Documents Cited by Year
Orthogonal polynomials. Computation and approximation. Zbl 1130.42300
Gautschi, Walter
360
2004
Numerical integration of ordinary differential equations based on trigonometric polynomials. Zbl 0163.39002
Gautschi, Walter
194
1961
Numerical analysis. An introduction. Zbl 0877.65001
Gautschi, Walter
180
1997
Computational aspects of three-term recurrence relations. Zbl 0168.15004
Gautschi, Walter
178
1967
On generating orthogonal polynomials. Zbl 0482.65011
Gautschi, Walter
126
1982
Some elementary inequalities relating to the gamma and incomplete gamma function. Zbl 0094.04104
Gautschi, Walter
77
1959
Error bounds for Gaussian quadrature of analytic functions. Zbl 0545.41040
Gautschi, Walter; Varga, Richard S.
72
1983
Construction of Gauss-Christoffel quadrature formulas. Zbl 0187.10603
Gautschi, Walter
71
1968
Algorithm 726: ORTHPOL – a package for routines for generating orthogonal polynomials and Gauss-type quadrature rules. Zbl 0888.65013
Gautschi, W.
69
1994
On the construction of Gaussian quadrature rules from modified moments. Zbl 0213.16701
Gautschi, Walter
53
1970
On inverses of Vandermonde and confluent Vandermonde matrices. Zbl 0108.12501
Gautschi, Walter
50
1962
Orthogonal polynomials: Applications and computation. Zbl 0871.65011
Gautschi, Walter
47
1996
Lower bounds for the condition number of Vandermonde matrices. Zbl 0646.15003
Gautschi, Walter; Inglese, Gabriele
44
1988
Adaptive quadrature – Revisited. Zbl 0961.65018
Gander, Walter; Gautschi, Walter
42
2000
An algorithm for simultaneous orthogonal transformation of several positive definite symmetric matrices to nearly diagonal form. Zbl 0614.65043
Flury, Bernhard N.; Gautschi, Walter
34
1986
Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type. Zbl 0677.41028
Gautschi, Walter; Notaris, Sotorios E.
34
1989
A survey of Gauss-Christoffel quadrature formulae. Zbl 0479.65001
Gautschi, Walter
33
1981
Norm estimates for inverses of Vandermonde matrices. Zbl 0304.65031
Gautschi, Walter
32
1975
Orthogonal polynomials - Constructive theory and applications. Zbl 0583.65011
Gautschi, Walter
27
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.
26
1990
The condition of Vandermonde-like matrices involving orthogonal polynomials. Zbl 0522.33005
Gautschi, Walter
26
1983
The interplay between classical analysis and (numerical) linear algebra – a tribute to Gene H. Golub. Zbl 1065.65049
Gautschi, Walter
26
2002
The incomplete gamma functions since Tricomi. Zbl 0965.33001
Gautschi, Walter
25
1998
Efficient computation of the complex error function. Zbl 0204.48304
Gautschi, Walter
25
1970
Orthogonal polynomials (in Matlab). Zbl 1067.65023
Gautschi, Walter
25
2005
Questions of numerical condition related to polynomials. Zbl 0584.65020
Gautschi, Walter
23
1984
Polynomials orthogonal on the semicircle. Zbl 0604.42024
Gautschi, Walter; Milovanović, Gradimir V.
22
1986
Numerical quadrature in the presence of a singularity. Zbl 0279.65024
Gautschi, Walter
21
1967
On the condition of algebraic equations. Zbl 0278.65044
Gautschi, Walter
20
1973
Minimal solutions of three-term recurrence relations and orthogonal polynomials. Zbl 0466.33008
Gautschi, Walter
19
1981
Numerical analysis. 2nd ed. Zbl 1378.65002
Gautschi, Walter
19
2012
Zeros and critical points of Sobolev orthogonal polynomials. Zbl 0897.42014
Gautschi, Walter; Kuijlaars, A. B. J.
18
1997
Gauss-type quadrature rules for rational functions. Zbl 0802.65019
Gautschi, Walter
18
1993
A computational procedure for incomplete gamma functions. Zbl 0429.65011
Gautschi, Walter
18
1979
Attenuation factors in practical Fourier analysis. Zbl 0231.65101
Gautschi, Walter
18
1972
An algebraic study of Gauss-Kronrod quadrature formulae for Jacobi weight functions. Zbl 0654.65017
Gautschi, Walter; Notaris, Sotirios E.
17
1988
Optimally conditioned Vandermonde matrices. Zbl 0316.65005
Gautschi, Walter
17
1975
A set of orthogonal polynomials induced by a given orthogonal polynomial. Zbl 0785.33004
Gautschi, Walter; Li, Shikang
17
1993
\(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae. Zbl 0890.65021
Gautschi, Walter; Milovanović, Gradimir V.
16
1997
On the remainder term for analytic functions of Gauss-Lobatto and Gauss- Radau quadratures. Zbl 0749.41026
Gautschi, Walter
16
1991
Remainder estimates for analytic functions. Zbl 0754.41026
Gautschi, Walter
16
1992
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
16
1990
Computing the Hilbert transform of a Jacobi weight function. Zbl 0629.65023
Gautschi, Walter; Wimp, Jet
15
1987
Gauss quadrature for refineable weight functions. Zbl 0954.65018
Gautschi, Walter; Gori, Laura; Pitolli, Francesca
15
2000
A harmonic mean inequality for the gamma function. Zbl 0239.33002
Gautschi, Walter
15
1974
On some orthogonal polynomials of interest in theoretical chemistry. Zbl 0547.65008
Gautschi, Walter
14
1984
Algorithm 793: GQRAT – Gauss quadrature for rational functions. Zbl 0961.65019
Gautschi, Walter
14
1999
Gauss-Radau formulae for Jacobi and Laguerre weight functions. Zbl 0981.41017
Gautschi, Walter
14
2000
Gauss-Kronrod quadrature - a survey. Zbl 0691.41027
Gautschi, Walter
14
1988
On the computation of modified Bessel function ratios. Zbl 0386.33006
Gautschi, Walter; Slavik, Josef
14
1978
The condition of polynomials in power form. Zbl 0399.41002
Gautschi, Walter
14
1979
A family of Gauss-Kronrod quadrature formulae. Zbl 0699.65016
Gautschi, Walter; Rivlin, Theodore J.
13
1988
Zur Numerik rekurrenter Relationen. Zbl 0263.65104
Gautschi, Walter
13
1972
On the sensitivity of orthogonal polynomials to perturbations in the moments. Zbl 0613.65014
Gautschi, Walter
12
1986
The use of rational functions in numerical quadrature. Zbl 0985.65017
Gautschi, Walter
12
2001
Quadrature rules for rational functions. Zbl 0968.65014
Gautschi, Walter; Gori, Laura; Lo Cascio, M. Laura
11
2000
High-order Gauss-Lobatto formulae. Zbl 0979.65021
Gautschi, Walter
11
2000
Computational aspects of orthogonal polynomials. Zbl 0697.42017
Gautschi, Walter
11
1990
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
Some mean value inequalities for the gamma function. Zbl 0239.33003
Gautschi, Walter
11
1974
Orthogonal polynomials in MATLAB: exercises and solutions. Zbl 1369.33001
Gautschi, Walter
11
2016
On computing Gauss-Kronrod quadrature formulae. Zbl 0631.65016
Caliò, Franca; Gautschi, Walter; Marchetti, Elena
10
1986
Polynomials orthogonal on the semicircle. II. Zbl 0658.42027
Gautschi, Walter; Landau, Henry J.; Milovanović, Gradimir V.
10
1987
On mean convergence of extended Lagrange interpolation. Zbl 0761.41003
Gautschi, Walter
10
1992
Computing orthogonal polynomials in Sobolev spaces. Zbl 0830.65012
Gautschi, Walter; Zhang, Minda
10
1995
Recursive computation of certain integrals. Zbl 0097.12201
Gautschi, Walter
10
1961
Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series. Zbl 0576.65011
Gautschi, Walter; Milovanović, Gradimir V.
9
1985
Erratum to: Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type. Zbl 0691.41028
Gautschi, W.; Notaris, S. E.
9
1989
An algorithmic implementation of the generalized Christoffel theorem. Zbl 0518.65006
Gautschi, Walter
9
1982
On inverses of Vandermonde and confluent Vandermonde matrices. II. Zbl 0115.34303
Gautschi, W.
9
1963
Algorithm 542: Incomplete Gamma functions [S14]. Zbl 0434.65007
Gautschi, Walter
9
1979
Discrete approximations to spherically symmetric distributions. Zbl 0508.65012
Gautschi, Walter
8
1984
Moments in quadrature problems. Zbl 0930.65011
Gautschi, Walter
8
1997
Corrections to ”On the remainder term for analytic functions of Gauss- Lobatto and Gauss-Radau quadratures”. Zbl 0768.41027
Gautschi, Walter
8
1991
On Chebyshev-type quadratures. Zbl 0292.65005
Gautschi, Walter; Yanagiwara, Hiroki
8
1974
On the computation of generalized Fermi-Dirac and Bose-Einstein integrals. Zbl 0855.65011
Gautschi, Walter
8
1993
Questions of numerical condition related to polynomials. Zbl 0457.65026
Gautschi, Walter
8
1978
Orthogonal polynomials and quadrature. Zbl 0963.33004
Gautschi, Walter
8
1999
Quadrature formulae on half-infinite intervals. Zbl 0734.65007
Gautschi, Walter
8
1991
Gauss quadrature routines for two classes of logarithmic weight functions. Zbl 1200.65019
Gautschi, Walter
8
2010
Anomalous convergence of a continued fraction for ratios of Kummer functions. Zbl 0373.33002
Gautschi, Walter
8
1977
Spline approximations to spherically symmetric distributions. Zbl 0586.41009
Gautschi, Walter; Milovanović, Gradimir V.
7
1986
How (un)stable are Vandermonde systems? Zbl 0707.15003
Gautschi, Walter
7
1990
Optimally scaled and optimally conditioned vandermonde and Vandermonde-like matrices. Zbl 1214.65021
Gautschi, Walter
7
2011
The condition of orthogonal polynomials. Zbl 0261.33009
Gautschi, Walter
7
1972
Stieltjes polynomials and related quadrature formulae for a class of weight functions. Zbl 0853.41019
Gautschi, Walter; Notaris, Sotirios E.
7
1996
Computing polynomials orthogonal with respect to densely oscillating and exponentially decaying weight functions and related integrals. Zbl 1076.65019
Gautschi, Walter
7
2005
Generalized Gauss-Radau and Gauss-Lobatto formulae. Zbl 1076.65023
Gautschi, Walter
7
2004
Expansions of the exponential integral in incomplete gamma functions. Zbl 1058.33002
Gautschi, Walter; Harris, F. E.; Temme, N. M.
7
2003
Recursive computation of the repeated integrals of the error function. Zbl 0099.11401
Gautschi, Walter
7
1961
On Padé approximants associated with Hamburger series. Zbl 0571.41013
Gautschi, Walter
6
1983
Exponential integral \(\int_ 1^ \infty e^{-^ xt} t^{-n}dt\) for large values of \(n\). Zbl 0118.32604
Gautschi, Walter
6
1959
On the condition of a matrix arising in the numerical inversion of the Laplace transform. Zbl 0182.50204
Gautschi, W.
6
1969
Orthogonal polynomials, quadrature, and approximation: computational methods and software (in Matlab). Zbl 1101.41029
Gautschi, Walter
6
2006
A class of slowly convergent series and their summation by Gaussian quadrature. Zbl 0739.40002
Gautschi, Walter
6
1991
Advances in Chebyshev quadrature. Zbl 0331.65016
Gautschi, Walter
6
1976
Conjectured inequalities for Jacobi polynomials and their largest zeros. Zbl 1124.33009
Gautschi, Walter; Leopardi, Paul
6
2007
Leonhard Euler: his life, the man, and his works. Zbl 1138.01010
Gautschi, Walter
6
2008
On a conjectured inequality for the largest zero of Jacobi polynomials. Zbl 1167.33003
Gautschi, Walter
6
2008
A software repository for orthogonal polynomials. Zbl 1398.33001
Gautschi, Walter
3
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
11
2016
High-precision Gauss-Turán quadrature rules for Laguerre and Hermite weight functions. Zbl 1298.65041
Gautschi, Walter
2
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
3
2013
Neutralizing nearby singularities in numerical quadrature. Zbl 1279.65030
Gautschi, Walter
1
2013
Numerical analysis. 2nd ed. Zbl 1378.65002
Gautschi, Walter
19
2012
Sub-range Jacobi polynomials. Zbl 1257.65011
Gautschi, Walter
4
2012
Numerical integration over the square in the presence of algebraic/logarithmic singularities with an application to aerodynamics. Zbl 1257.65012
Gautschi, Walter
3
2012
Interpolation before and after Lagrange. Zbl 1305.41002
Gautschi, Walter
1
2012
Optimally scaled and optimally conditioned vandermonde and Vandermonde-like matrices. Zbl 1214.65021
Gautschi, Walter
7
2011
The Lambert W-functions and some of their integrals: A case study of high-precision computation. Zbl 1215.65042
Gautschi, Walter
4
2011
Approximation and computation. In honor of Gradimir V. Milovanović. Most papers based on the presentations at the international conference, Niš, Serbia, August 25–29, 2008. Zbl 1203.65006
Gautschi, Walter; Mastroianni, Giuseppe; Rassias, Themistocles M.
2
2011
Gauss quadrature routines for two classes of logarithmic weight functions. Zbl 1200.65019
Gautschi, Walter
8
2010
The spiral of Theodorus, numerical analysis, and special functions. Zbl 1201.01004
Gautschi, Walter
1
2010
Alexander M. Ostrowski (1893–1986): His life, work, and students. Zbl 1209.01071
Gautschi, Walter
1
2010
How sharp is Bernstein’s inequality for Jacobi polynomials? Zbl 1189.33016
Gautschi, Walter
6
2009
Variable-precision recurrence coefficients for nonstandard orthogonal polynomials. Zbl 1178.65026
Gautschi, Walter
5
2009
High-order generalized Gauss-Radau and Gauss-Lobatto formulae for Jacobi and Laguerre weight functions. Zbl 1167.65347
Gautschi, Walter
3
2009
On conjectured inequalities for zeros of Jacobi polynomials. Zbl 1165.33009
Gautschi, Walter
2
2009
New conjectured inequalities for zeros of Jacobi polynomials. Zbl 1168.33001
Gautschi, Walter
1
2009
Leonhard Euler: his life, the man, and his works. Zbl 1138.01010
Gautschi, Walter
6
2008
On a conjectured inequality for the largest zero of Jacobi polynomials. Zbl 1167.33003
Gautschi, Walter
6
2008
Luigi Gatteschi’s work on asymptotics of special functions and their zeros. Zbl 1170.26007
Gautschi, Walter; Giordano, Carla
5
2008
The numerical evaluation of a challenging integral. Zbl 1162.65012
Gautschi, Walter
4
2008
On Euler’s attempt to compute logarithms by interpolation: a commentary to his letter of February 16, 1734 to Daniel Bernoulli. Zbl 1146.01004
Gautschi, Walter
2
2008
Conjectured inequalities for Jacobi polynomials and their largest zeros. Zbl 1124.33009
Gautschi, Walter; Leopardi, Paul
6
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
6
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
2
2006
Orthogonal polynomials (in Matlab). Zbl 1067.65023
Gautschi, Walter
25
2005
Computing polynomials orthogonal with respect to densely oscillating and exponentially decaying weight functions and related integrals. Zbl 1076.65019
Gautschi, Walter
7
2005
A historical note on Gauss-Kronrod quadrature. Zbl 1087.65020
Gautschi, Walter
5
2005
The Hardy-Littlewood function: an exercise in slowly convergent series. Zbl 1066.40003
Gautschi, Walter
3
2005
Numerical quadrature computation of the Macdonald function for complex orders. Zbl 1082.65026
Gautschi, Walter
3
2005
Orthogonal polynomials. Computation and approximation. Zbl 1130.42300
Gautschi, Walter
360
2004
Generalized Gauss-Radau and Gauss-Lobatto formulae. Zbl 1076.65023
Gautschi, Walter
7
2004
Expansions of the exponential integral in incomplete gamma functions. Zbl 1058.33002
Gautschi, Walter; Harris, F. E.; Temme, N. M.
7
2003
The interplay between classical analysis and (numerical) linear algebra – a tribute to Gene H. Golub. Zbl 1065.65049
Gautschi, Walter
26
2002
Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions. Zbl 0998.65032
Gautschi, Walter
5
2002
Computation of Bessel and Airy functions and of related Gaussian quadrature formulae. Zbl 0997.65042
Gautschi, Walter
2
2002
The use of rational functions in numerical quadrature. Zbl 0985.65017
Gautschi, Walter
12
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
42
2000
Gauss quadrature for refineable weight functions. Zbl 0954.65018
Gautschi, Walter; Gori, Laura; Pitolli, Francesca
15
2000
Gauss-Radau formulae for Jacobi and Laguerre weight functions. Zbl 0981.41017
Gautschi, Walter
14
2000
Quadrature rules for rational functions. Zbl 0968.65014
Gautschi, Walter; Gori, Laura; Lo Cascio, M. Laura
11
2000
High-order Gauss-Lobatto formulae. Zbl 0979.65021
Gautschi, Walter
11
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
8
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
Gautschi, W.; Golub, G. H.; Opfer, G.
1
1999
The incomplete gamma functions since Tricomi. Zbl 0965.33001
Gautschi, Walter
25
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
180
1997
Zeros and critical points of Sobolev orthogonal polynomials. Zbl 0897.42014
Gautschi, Walter; Kuijlaars, A. B. J.
18
1997
\(S\)-orthogonality and construction of Gauss-Turán-type quadrature formulae. Zbl 0890.65021
Gautschi, Walter; Milovanović, Gradimir V.
16
1997
Moments in quadrature problems. Zbl 0930.65011
Gautschi, Walter
8
1997
On the computation of special Sobolev-type orthogonal polynomials. Zbl 0887.65018
Gautschi, Walter
3
1997
The computation of special functions by linear difference equations. Zbl 0892.65008
Gautschi, Walter
3
1997
Orthogonal polynomials: Applications and computation. Zbl 0871.65011
Gautschi, Walter
47
1996
Stieltjes polynomials and related quadrature formulae for a class of weight functions. Zbl 0853.41019
Gautschi, Walter; Notaris, Sotirios E.
7
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
10
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.
69
1994
Summation of slowly convergent series. Zbl 0799.65005
Gautschi, Walter
1
1994
Mathematics of computation, 1943-1993: a half-century of computational mathematics. Mathematics of computation 50th anniversary symposium, August 9-13, 1993, Vancouver, Canada. Zbl 0807.00006
Gautschi, Walter
1
1994
Gauss-type quadrature rules for rational functions. Zbl 0802.65019
Gautschi, Walter
18
1993
A set of orthogonal polynomials induced by a given orthogonal polynomial. Zbl 0785.33004
Gautschi, Walter; Li, Shikang
17
1993
On the computation of generalized Fermi-Dirac and Bose-Einstein integrals. Zbl 0855.65011
Gautschi, Walter
8
1993
Is the recurrence relation for orthogonal polynomials always stable? Zbl 0783.65009
Gautschi, Walter
4
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
10
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
16
1991
Gauss-Radau and Gauss-Lobatto quadratures with double end points. Zbl 0727.65012
Gautschi, Walter; Li, Shikang
11
1991
Corrections to ”On the remainder term for analytic functions of Gauss- Lobatto and Gauss-Radau quadratures”. Zbl 0768.41027
Gautschi, Walter
8
1991
Quadrature formulae on half-infinite intervals. Zbl 0734.65007
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.
26
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
16
1990
Computational aspects of orthogonal polynomials. Zbl 0697.42017
Gautschi, Walter
11
1990
How (un)stable are Vandermonde systems? Zbl 0707.15003
Gautschi, Walter
7
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
Grauss-Kronrod quadrature formulae for weight functions of Bernstein- Szegö type. Zbl 0677.41028
Gautschi, Walter; Notaris, Sotorios E.
34
1989
Erratum to: Gauss-Kronrod quadrature formulae for weight functions of Bernstein-Szegö type. Zbl 0691.41028
Gautschi, W.; Notaris, S. E.
9
1989
Orthogonality - conventional and unconventional - in numerical analysis. Zbl 0686.41022
Gautschi, Walter
5
1989
On the zeros of polynomials orthogonal on the semicircle. Zbl 0676.30005
Gautschi, Walter
3
1989
Lower bounds for the condition number of Vandermonde matrices. Zbl 0646.15003
Gautschi, Walter; Inglese, Gabriele
44
1988
An algebraic study of Gauss-Kronrod quadrature formulae for Jacobi weight functions. Zbl 0654.65017
Gautschi, Walter; Notaris, Sotirios E.
17
1988
Gauss-Kronrod quadrature - a survey. Zbl 0691.41027
Gautschi, Walter
14
1988
A family of Gauss-Kronrod quadrature formulae. Zbl 0699.65016
Gautschi, Walter; Rivlin, Theodore J.
13
1988
...and 73 more Documents
all top 5

Cited by 2,146 Authors

87 Gautschi, Walter
59 Milovanović, Gradimir V.
44 Reichel, Lothar
40 Spalević, Miodrag M.
28 Kou, Jisheng
28 Masjed-Jamei, Mohammad
24 Dehghan Takht Fooladi, Mehdi
23 Notaris, Sotirios E.
20 Marcellán Español, Francisco
19 González-Vera, Pablo
19 Hasegawa, Takemitsu
18 Alzer, Horst
18 Li, Yitian
18 Wu, Xinyuan
17 Eslahchi, Mohammad Reza
15 Bultheel, Adhemar François
15 Cvetković, Aleksandar S.
15 Wang, Xiuhua
14 Golub, Gene Howard
13 Chun, Changbum
12 Temme, Nico M.
11 Pejčev, Aleksandar V.
11 Pranic, Miroslav S.
11 Rández, Luis
11 Sugiura, Hiroshi
10 Fang, Yonglei
10 Piessens, Robert
10 Stanić, Marija P.
10 Vianello, Marco
10 Yang, Zhenhang
10 You, Xiong
9 Franco, J. Méndez
9 Mastroianni, Giuseppe
9 Montijano, Juan Ignacio
9 Moreno-Balcázar, Juan José
9 Narayan, Akil C.
9 Olver, Sheehan Shakiban
9 Sharma, Rajni
9 Vanden Berghe, Guido
9 Xiang, Shuhuang
8 Bao, Weizhu
8 Barry, Paul
8 Chu, Yuming
8 Laurie, Dirk P.
8 Li, Jiyong
8 López Lagomasino, Guillermo Tomás
8 Njåstad, Olav
8 Pan, Victor Yakovlevich
8 Pijeira-Cabrera, Héctor
8 Segura, Javier
8 Sharma, Janak Raj
8 Shizgal, Bernie D.
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 Huybrechs, Daan
7 Jagels, Carl F.
7 Jones, William Branham
7 Karniadakis, George Em
7 Mantica, Giorgio
7 Martínez-Finkelshtein, Andrei
7 Neta, Beny
7 Qi, Feng
7 Ranga, A. Sri
7 Sommariva, Alvise
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 Calvetti, Daniela
6 Cruz-Barroso, Ruymán
6 De Meyer, Hans E.
6 Deng, Shaozhong
6 Djukić, Dušan Lj.
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 Simos, Theodore E.
6 Thron, Wolfgang Joseph
6 Wang, Haiyong
5 Area, Iván
5 Branders, Maria
5 Browne, Ryan P.
5 Brugnano, Luigi
5 Cai, Yongyong
5 Chiccoli, Cesare
5 Díaz-Mendoza, Carlos
5 Ehrich, Sven
...and 2,046 more Authors
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Cited in 313 Serials

261 Journal of Computational and Applied Mathematics
148 Applied Mathematics and Computation
128 Numerical Algorithms
125 Mathematics of Computation
93 Numerische Mathematik
64 BIT
60 Applied Numerical Mathematics
56 Linear Algebra and its Applications
52 Computers & Mathematics with Applications
51 Journal of Computational Physics
44 Journal of Approximation Theory
30 International Journal of Computer Mathematics
26 Journal of Mathematical Analysis and Applications
24 Journal of Scientific Computing
24 SIAM Journal on Scientific Computing
23 Computer Methods in Applied Mechanics and Engineering
23 Calcolo
18 Advances in Computational Mathematics
16 Computer Physics Communications
14 Journal of Mathematical Physics
14 Computing
14 SIAM Journal on Numerical Analysis
14 Applied Mathematics Letters
13 Journal of Mathematical Chemistry
12 Journal of Inequalities and Applications
11 Proceedings of the American Mathematical Society
11 SIAM Journal on Matrix Analysis and Applications
10 Applied and Computational Harmonic Analysis
10 Journal of Difference Equations and Applications
9 Results in Mathematics
9 SIAM Review
9 SIAM/ASA Journal on Uncertainty Quantification
8 ZAMP. Zeitschrift für angewandte Mathematik und Physik
8 Mathematical and Computer Modelling
7 Applicable Analysis
7 Rocky Mountain Journal of Mathematics
7 Journal of Complexity
7 Constructive Approximation
7 Communications in Statistics. Theory and Methods
7 Computational Statistics and Data Analysis
7 ETNA. Electronic Transactions on Numerical Analysis
7 Integral Transforms and Special Functions
7 Foundations of Computational Mathematics
7 BIT. Nordisk Tidskrift for Informationsbehandling
6 International Journal for Numerical Methods in Engineering
6 Acta Applicandae Mathematicae
6 Statistics and Computing
5 Journal of Engineering Mathematics
5 Journal of Statistical Physics
5 Computer Aided Geometric Design
5 Journal of Integral Equations and Applications
5 Communications in Statistics. Simulation and Computation
5 Indagationes Mathematicae. New Series
5 Mathematical Problems in Engineering
5 Computational Geosciences
5 Journal of Applied Mathematics
4 Journal of the Franklin Institute
4 Advances in Mathematics
4 Journal of Econometrics
4 Journal of Multivariate Analysis
4 Mathematics and Computers in Simulation
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 Numerical Linear Algebra with Applications
4 Computational and Applied Mathematics
4 Engineering Analysis with Boundary Elements
4 Discrete and Continuous Dynamical Systems
4 The Ramanujan Journal
4 Abstract and Applied Analysis
4 Mathematical Inequalities & Applications
4 Journal of Integer Sequences
4 Mediterranean Journal of Mathematics
3 Communications in Mathematical Physics
3 Inverse Problems
3 Physics Reports
3 Transport Theory and Statistical Physics
3 Bulletin. Classe des Sciences Mathématiques et Naturelles. Sciences Mathématiques
3 ACM Transactions on Mathematical Software
3 Automatica
3 Journal of Statistical Planning and Inference
3 Transactions of the American Mathematical Society
3 Advances in Applied Mathematics
3 Zeitschrift für Analysis und ihre Anwendungen
3 Applied Mathematics and Mechanics. (English Edition)
3 Physica D
3 Computational Statistics
3 Celestial Mechanics
3 SIAM Journal on Applied Mathematics
3 Mathematical Programming. Series A. Series B
3 The Journal of Fourier Analysis and Applications
3 Communications in Nonlinear Science and Numerical Simulation
3 Journal of High Energy Physics
3 The ANZIAM Journal
3 Quantitative Finance
3 Multiscale Modeling & Simulation
3 Analysis and Applications (Singapore)
3 Advances in Difference Equations
...and 213 more Serials
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Cited in 55 Fields

1,320 Numerical analysis (65-XX)
491 Approximations and expansions (41-XX)
399 Special functions (33-XX)
223 Harmonic analysis on Euclidean spaces (42-XX)
149 Ordinary differential equations (34-XX)
122 Partial differential equations (35-XX)
107 Linear and multilinear algebra; matrix theory (15-XX)
101 Real functions (26-XX)
93 Statistics (62-XX)
90 Functions of a complex variable (30-XX)
78 Probability theory and stochastic processes (60-XX)
55 Quantum theory (81-XX)
48 Difference and functional equations (39-XX)
44 Fluid mechanics (76-XX)
42 Integral transforms, operational calculus (44-XX)
41 Dynamical systems and ergodic theory (37-XX)
39 Operator theory (47-XX)
38 Sequences, series, summability (40-XX)
36 Number theory (11-XX)
36 Statistical mechanics, structure of matter (82-XX)
35 Integral equations (45-XX)
34 Computer science (68-XX)
30 Information and communication theory, circuits (94-XX)
29 Operations research, mathematical programming (90-XX)
29 Systems theory; control (93-XX)
26 Mechanics of deformable solids (74-XX)
20 Combinatorics (05-XX)
19 Biology and other natural sciences (92-XX)
17 Functional analysis (46-XX)
17 Calculus of variations and optimal control; optimization (49-XX)
17 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
16 Optics, electromagnetic theory (78-XX)
13 Mechanics of particles and systems (70-XX)
12 Measure and integration (28-XX)
10 Geophysics (86-XX)
8 History and biography (01-XX)
8 Field theory and polynomials (12-XX)
8 Relativity and gravitational theory (83-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Astronomy and astrophysics (85-XX)
4 Algebraic geometry (14-XX)
4 Global analysis, analysis on manifolds (58-XX)
3 General and overarching topics; collections (00-XX)
3 Abstract harmonic analysis (43-XX)
3 Convex and discrete geometry (52-XX)
2 Commutative algebra (13-XX)
2 Potential theory (31-XX)
2 Geometry (51-XX)
1 Mathematical logic and foundations (03-XX)
1 Associative rings and algebras (16-XX)
1 Group theory and generalizations (20-XX)
1 Topological groups, Lie groups (22-XX)
1 Several complex variables and analytic spaces (32-XX)
1 Differential geometry (53-XX)
1 Mathematics education (97-XX)

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