Abstract
Since this workshop is dedicated to my “50 years of professional activity”, it may not be out of place to give a brief account of what came out of all this activity! Listing the publications is a partial answer, which I am trying to supplement here with some indications of contents. It is impossible, within a reasonable amount of space, to go into any great detail, but just enough information will be given so that anyone who reads this can decide whether to look up an original source for more details. The material is organized into nine sections, each devoted to a particular subject area, and a tenth one with a brief summary of impact. Publications that seem more significant than others are listed immediately following the subsection headings.
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References
Bavinck, H., Willems, G.M.: Colloquium Approximatietheorie, MC Syllabus, vol. 14. Mathematisch Centrum, Amsterdam (1971)
Numerical Analysis: An Introduction. Birkhäuser, Boston (1997)
Orthogonal Polynomials: Computation and Approximation. Oxford University Press, Oxford (2004)
Book chapters
Antosiewicz, H.A.: Numerical Methods in ordinary differential equations. Ch. 9. In: Todd, J. (ed.) Survey of Numerical Analysis, pp. 314–346. McGraw-Hill, New York (1962)
Cahill, W.F.: Exponential integral and related functions. Ch. 5. In: Abramowitz, M., Stegun, I.A. (eds.) Handbook of Mathematical Functions. Nat. Bur. Standards Appl. Math. Ser., vol. 55, pp. 227–251 (1964). [Russian translation by V.A. Ditkin and L.N. Karmazina in Spravočnik po special’nym funkciyam, pp. 55–79. Nauka, Moscow (1979)]
Error function and Fresnel integrals. Ch. 7. In: Abramowitz, M., Stegun, I.A. (eds.) Handbook of Mathematical Functions. Nat. Bur. Standards Appl. Math. Ser., vol. 55, pp. 295–329 (1964). [Russian translation by V.A. Ditkin and L.N. Karmazina in Spravočnik po special’nym funkciyam, pp. 119–152. Nauka, Moscow (1979)]
Computational methods in special functions—a survey. In: Askey, R.A. (ed.) Theory and Applications of Special Functions. Math. Res. Center, Univ. Wisconsin Publ., no.35, pp. 1–98. Academic Press, New York (1975)
A survey of Gauss–Christoffel quadrature formulae. In: Butzer, P.L., Fehér, F. (eds.) E.B. Christoffel: The Influence of His Work in Mathematics and the Physical Sciences, pp. 72–147. Birkhäuser, Basel (1981)
Questions of numerical condition related to polynomials. In: de Boor, C., Golub, G.H. (eds.) Symposium on Recent Advances in Numerical Analysis, pp. 45–72. Academic Press, New York (1978). [Reprinted in MAA Studies in Mathematics, vol. 24. In: Golub, G.H. (ed.) Studies in Numerical Analysis, pp. 140–177. Math. Assoc. America, Washington, DC (1984)]
The spiral of Theodorus, special functions, and numerical analysis. In: Davis, P.J. (ed.) Supplement A in Spirals: From Theodorus to Chaos, pp.67–87. A K Peters, Boston (1993)
Orthogonal polynomials: applications and computation. In: Iserles, A. (ed.) Acta Numerica 1996, pp. 45–119. Cambridge University Press, Cambridge, UK (1996)
Waldvogel, J.: Contour plots of analytic functions. Ch. 25. In: Gander, W., Hřebíček, J. (eds.) Solving Problems in Scientific Computing Using Maple and Matlab, 3d ed., pp. 359–372. Springer, Berlin (1997) [Chinese translation by: China Higher Education Press and Springer, 1999; Portuguese translation of 3d ed. by: Editora Edgard Blücher Ltda, Sao Paolo, 2001; Russian translation of 4th ed. by: Vassamedia, Minsk, Bjelarus, 2005]
Orthogonal polynomials, quadrature, and approximation: computational methods and software (in Matlab). In: Marcellán, F., Van Assche, W. (eds.) Orthogonal Polynomials and Special Functions. Lecture Notes in Math. 1883, pp. 1–77 (2006)
Proceedings edited
Mathematics of Computation 1943–1993: A Half-Century of Computational Mathematics. In: Proceedings of Sympos. Appl. Math., vol. 48, xx + 643 pages. American Mathematical Society, Providence, RI (1994)
Golub, G.H., Opfer, G.: Applications and Computation of Orthogonal Polynomials. Internat. Ser. Numer. Math., vol. 131, xiv + 268 pages. Birkhäuser, Basel (1999)
Marcellán, F., Reichel, L.: Numerical analysis 2000, vol. 5: Quadrature and orthogonal polynomials. J. Comput. Appl. Math. vol. 127(1–2), xi + 369 pages (2001)
Refereed journal papers
Ein Analogon zu Grammels Methode der graphischen Integration gewöhnlicher Differentialgleichungen. Z. Angew. Math. Mech. 31, 242–243 (1951)
Fehlerabschätzungen für die graphischen Integrationsverfahren von Grammel und Meissner– Ludwig. Verh. Naturforsch. Ges. Basel 64, 401–435 (1953)
Über die zeichnerischen Ungenauigkeiten und die zweckmässige Bemessung der Schrittlänge beim graphischen Integrationsverfahren von Meissner–Ludwig. Verh. Naturforsch. Ges. Basel 65, 49–66 (1954)
Über eine Klasse von linearen Systemen mit konstanten Koeffizienten. Comment. Math. Helv. 28, 186–196 (1954)
Über den Fehler des Runge–Kutta-Verfahrens für die numerische Integration gewöhnlicher Differentialgleichungen n-ter Ordnung. Z. Angew. Math. Phys. 6, 456–461 (1955)
Una estensione agli integrali doppi di una condizione di Picone necessaria per un estremo. Atti Accad. Naz. Lincei., Rend. Cl. Sci. Fis. Mat. Nat. 20(8), 283–289 (1956)
Bemerkung zu einer notwendigen Bedingung von Picone in der Variationsrechnung. Comment. Math. Helv. 31, 1–4 (1956)
Some elementary inequalities relating to the gamma and incomplete gamma function. J. Math. Phys. 38, 77–81 (1959)
Exponential integral \(\int_1^\infty e^{-xt} t^{-n} dt\) for large values of n. J. Res. Natl. Bur. Stand. 62, 123–125 (1959)
Note on bivariate linear interpolation for analytic functions. Math. Tables other Aids Comput. 13, 91–96 (1959)
Recursive computation of certain integrals. J. Assoc. Comput. Mach. 8, 21–40 (1961)
Recursive computation of the repeated integrals of the error function. Math. Comp. 15, 227–232 (1961)
Numerical integration of ordinary differential equations based on trigonometric polynomials. Numer. Math. 3, 381–397 (1961)
On inverses of Vandermonde and confluent Vandermonde matrices. Numer. Math. 4, 117–123 (1962)
Diffusion functions for small argument. SIAM Rev. 4, 227–229 (1962)
On inverses of Vandermonde and confluent Vandermonde matrices II. Numer. Math. 5, 425–430 (1963)
Algorithm 221 – Gamma function, and Algorithm 222 – Incomplete beta function ratios. Commun. ACM 7, 143–144 (1964) ; Certification of Algorithm 222, ibid., 244
Algorithm 236 – Bessel functions of the first kind. Commun. ACM 7, 479–480 (1964) ; Certification of Algorithm 236, ibid. 8, 105–106 (1965)
Algorithm 259 – Legendre functions for arguments larger than one. Commun. ACM 8, 488–492 (1965)
Computation of successive derivatives of f(z)/z. Math. Comp. 20, 209–214 (1966)
Algorithm 282 – Derivatives of e x /x, cos(x)/x, and sin(x)/x. Commun. ACM 9, 272 (1966)
Algorithm 292 – Regular Coulomb wave functions. Commun. ACM 9, 793–795 (1966)
Computational aspects of three-term recurrence relations. SIAM Rev. 9, 24–82 (1967)
Numerical quadrature in the presence of a singularity. SIAM J. Numer. Anal. 4, 357–362 (1967)
Construction of Gauss–Christoffel quadrature formulas. Math. Comp. 22, 251–270 (1968)
Algorithm 331 – Gaussian quadrature formulas. Commun. ACM 11, 432–436 (1968)
Remark on Algorithm 292. Commun. ACM 12, 280 (1969)
On the condition of a matrix arising in the numerical inversion of the Laplace transform. Math. Comp. 23, 109–118 (1969)
An application of minimal solutions of three-term recurrences to Coulomb wave functions. Aequ. Math. 2, 171–176 (1969); abstract, ibid. 1, 208 (1968)
Algorithm 363 – Complex error function. Commun. ACM 12, 635 (1969)
Klein, B.J.: Recursive computation of certain derivatives – a study of error propagation. Commun. ACM 13, 7–9 (1970)
Klein B.J.: Remark on Algorithm 282. Commun. ACM 13, 53–54 (1970)
Efficient computation of the complex error function. SIAM J. Numer. Anal. 7, 187–198 (1970)
On the construction of Gaussian quadrature rules from modified moments. Math. Comp. 24, 245–260 (1970)
Attenuation factors in practical Fourier analysis. Numer. Math. 18, 373–400 (1971/1972)
Zur Numerik rekurrenter Relationen. Computing 9, 107–126 (1972). (English translation in: Aerospace Research Laboratories, Report ARL 73-0005, February 1973)
The condition of orthogonal polynomials. Math. Comp. 26, 923–924 (1972)
Algorithm 471 – Exponential integrals. Commun. ACM 16, 761–763 (1973)
On the condition of algebraic equations. Numer. Math. 21, 405–424 (1973)
Yanagiwara, H.: On Chebyshev-type quadratures. Math. Comp. 28, 125–134 (1974)
A harmonic mean inequality for the gamma function. SIAM J. Math. Anal. 5, 278–281 (1974)
Some mean value inequalities for the gamma function. SIAM J. Math. Anal. 5, 282–292 (1974)
Nonexistence of Chebyshev-type quadratures on infinite intervals. Math. Comp. 29, 93–99 (1975)
Norm estimates for inverses of Vandermonde matrices. Numer. Math. 23, 337–347 (1975)
Optimally conditioned Vandermonde matrices. Numer. Math. 24, 1–12 (1975)
Anderson, L.A.: Optimal weighted Chebyshev-type quadrature formulas. Calcolo 12, 211–248 (1975)
Stime dell’errore globale nei metodi “one-step” per equazioni differenziali ordinarie. Rend. Mat. 8(2), 601–617 (1975)
Comportement asymptotique des coefficients dans les formules d’intégration d’Adams, de Störmer et de Cowell. C. R. Acad. Sci. Paris Ser. A–B 283, A787–A788 (1976)
Monegato, G.: On optimal Chebyshev-type quadratures. Numer. Math. 28, 59–67 (1977)
Evaluation of the repeated integrals of the coerror function. ACM Trans. Math. Softw. 3, 240–252 (1977)
Algorithm 521 – Repeated integrals of the coerror function. ACM Trans. Math. Softw. 3, 301–302 (1977)
Anomalous convergence of a continued fraction for ratios of Kummer functions. Math. Comp. 31, 994–999 (1977)
Qualche contributo recente sul problema di Chebyshev nella teoria dell’ integrazione numerica. Rend. Semin. Mat. Univ. e Politec. Torino 35, 39–44 (1976–77)
On inverses of Vandermonde and confluent Vandermonde matrices III. Numer. Math. 29, 445–450 (1978)
Slavik, J.: On the computation of modified Bessel function ratios. Math. Comp. 32, 865–875 (1978)
The condition of polynomials in power form. Math. Comp. 33, 343–352 (1979)
On the preceding paper “A Legendre polynomial integral” by James L. Blue. Math. Comp. 33, 742–743 (1979)
A computational procedure for incomplete gamma functions. ACM Trans. Math. Softw. 5, 466–481 (1979)
Algorithm 542 – Incomplete gamma functions. ACM Trans Math. Softw. 5, 482–489 (1979)
Un procedimento di calcolo per le funzioni gamma incomplete. Rend. Semin. Mat. Univ. e Politec. Torino 37, 1–9 (1979)
Families of algebraic test equations. Calcolo 16, 383–398 (1979)
Costabile, F.: Stime per difetto per gli zeri più grandi dei polinomi ortogonali. Boll. Unione Mat. Ital. 17A(5), 516–522 (1980)
Montrone, M.: Metodi multistep con minimo coefficiente dell’errore globale. Calcolo 17, 67–75 (1980)
Minimal solutions of three-term recurrence relations and orthogonal polynomials. Math. Comp. 36, 547–554 (1981)
Lynch, R.E.: Error behavior in optimal relaxation methods. Z. Angew. Math. Phys. 33, 24–35 (1982)
A note on the successive remainders of the exponential series. Elem. Math. 37, 46–49 (1982)
Polynomials orthogonal with respect to the reciprocal gamma function. BIT 22, 387–389 (1982)
On generating orthogonal polynomials. SIAM J. Sci. Statist. Comput. 3, 289–317 (1982)
On the convergence behavior of continued fractions with real elements. Math. Comp. 40, 337–342 (1983)
The condition of Vandermonde-like matrices involving orthogonal polynomials. Linear Algebra Appl. 52/53, 293–300 (1983)
How and how not to check Gaussian quadrature formulae. BIT 23, 209–216 (1983)
Varga, R.S.: Error bounds for Gaussian quadrature of analytic functions. SIAM J. Numer. Anal. 20, 1170–1186 (1983)
On Padé approximants associated with Hamburger series. Calcolo 20, 111–127 (1983)
Discrete approximations to spherically symmetric distributions. Numer. Math. 44, 53–60 (1984)
On some orthogonal polynomials of interest in theoretical chemistry. BIT 24, 473–483 (1984)
Milovanović, G.V.: Gaussian quadrature involving Einstein and Fermi functions with an application to summation of series. Math. Comp. 44, 177–190 (1985) (supplement, ibid., S1–S11)
Orthogonal polynomials – constructive theory and applications. J. Comput. Appl. Math. 12/13, 61–76 (1985)
Milovanović, G.V.: Polynomials orthogonal on the semicircle. Rend. Semin. Mat. Univ. e Politec. Torino. Special issue, 179–185 (July 1985)
Flury, B.: An algorithm for simultaneous orthogonal transformation of several positive definite matrices to nearly diagonal form. SIAM J. Sci. Statist. Comput. 7, 169–184 (1986)
Milovanović, G.V.: Polynomials orthogonal on the semicircle. J. Approx. Theory 46, 230–250 (1986)
On the sensitivity of orthogonal polynomials to perturbations in the moments. Numer. Math. 48, 369–382 (1986)
Caliò, F., Marchetti, E.: On computing Gauss-Kronrod quadrature formulae. Math. Comp. 47, 639–650 (1986)
Milovanović, G.V.: Spline approximations to spherically symmetric distributions. Numer. Math. 49, 111–121 (1986)
Frontini, M., Milovanović, G.V.: Moment-preserving spline approximation on finite intervals. Numer. Math. 50, 503–518 (1987)
Wimp, J.: Computing the Hilbert transform of a Jacobi weight function. BIT 27, 203–215 (1987)
Landau, H.J., Milovanović, G.V.: Polynomials orthogonal on the semicircle II. Constructive Approx. 3, 389–404 (1987)
Kovačević, M.A., Milovanović, G.V.: The numerical evaluation of singular integrals with coth-kernel. BIT 27, 389–402 (1987)
Notaris, S.E.: An algebraic study of Gauss–Kronrod quadrature formulae for Jacobi weight functions. Math. Comp. 51, 231–248 (1988)
Inglese, G.: Lower bounds for the condition number of Vandermonde matrices. Numer. Math. 52, 241–250 (1988)
Rivlin, T.J.: A family of Gauss–Kronrod quadrature formulae. Math. Comp. 51, 749–754 (1988)
On the zeros of polynomials orthogonal on the semicircle. SIAM J. Math. Anal. 20, 738–743 (1989)
Notaris, S.E.: Gauss–Kronrod quadrature formulae for weight functions of Bernstein–Szegö type. J. Comput. Appl. Math. 25, 199–224 (1989) [Erratum: ibid. 27, 429]
Tychopoulos, E., Varga, R.S.: A note on the contour integral representation of the remainder term for a Gauss–Chebyshev quadrature rule. SIAM J. Numer. Anal. 27, 219–224 (1990)
Córdova, A., Ruscheweyh, S.: Vandermonde matrices on the circle: spectral properties and conditioning. Numer. Math. 57, 577–591 (1990)
Li, S.: The remainder term for analytic functions of Gauss–Radau and Gauss–Lobatto quadrature rules with multiple end points. J. Comput. Appl. Math. 33, 315–329 (1990)
On the remainder term for analytic functions of Gauss–Lobatto and Gauss–Radau quadratures. Rocky Mt. J. Math. 21, 209–226 (1991) [Corrections: ibid. 1143]
A class of slowly convergent series and their summation by Gaussian quadrature. Math. Comp. 57, 309–324 (1991)
On certain slowly convergent series occurring in plate contact problems. Math. Comp. 57, 325–338 (1991)
Li, S.: Gauss–Radau and Gauss–Lobatto quadratures with double end points. J. Comput. Appl. Math. 34, 343–360 (1991)
On the paper “A continued fraction approximation of the modified Bessel function I 1 (t)” by P.R. Parthasarathy and N. Balakrishnan. Appl. Math. Lett. 4, 47–51 (1991)
Quadrature formulae on half-infinite intervals. BIT 31, 438–446 (1991)
Spline approximation and quadrature formulae. Atti Sem. Mat. Fis. Univ. Modena 40, 169–182 (1992)
On mean convergence of extended Lagrange interpolation. J. Comput. Appl. Math. 43, 19–35 (1992)
Li, S.: A set of orthogonal polynomials induced by a given orthogonal polynomial. Aequ. Math. 46, 174–198 (1993)
Is the recurrence relation for orthogonal polynomials always stable? BIT 33, 277–284 (1993)
On the computation of generalized Fermi–Dirac and Bose–Einstein integrals. Comput. Phys. Commun. 74, 233–238 (1993)
Algorithm 726: ORTHPOL – a package of routines for generating orthogonal polynomials and Gauss-type quadrature rules. ACM Trans. Math. Softw. 20, 21–62 (1994); Remark on Algorithm 726, ibid. 24, 355 (1998)
The work of Philip Rabinowitz on numerical integration. Numer. Algorithms 9, 199–222 (1995)
Luigi Gatteschi’s work on special functions and numerical analysis. Ann. Numer. Math. 2, 3–19 (1995)
Zhang, M.: Computing orthogonal polynomials in Sobolev spaces. Numer. Math. 71, 159–183 (1995)
Li, S.: On quadrature convergence of extended Lagrange interpolation. Math. Comp. 65, 1249–1256 (1996)
Notaris, S.E.: Stieltjes polynomials and related quadrature formulae for a class of weight functions. Math. Comp. 65, 1257–1268 (1996)
On the computation of special Sobolev-type orthogonal polynomials. The heritage of P.L. Chebyshev: a festschrift in honor of the 70th birthday of T.J. Rivlin. Ann. Numer. Math. 4, 329–342 (1997)
Moments in quadrature problems. Approximation theory and approximation. Comput. Math. Appl. 33, 105–118 (1997)
Kuijlaars, A.B.J.: Zeros and critical points of Sobolev orthogonal polynomials. J. Approx. Theory 91, 117–137 (1997)
Milovanović, G.V.: S-orthogonality and construction of Gauss–Turán-type quadrature formulae. J. Comput. Appl. Math. 86, 205–218 (1997)
A note on the recursive calculation of incomplete gamma functions. ACM Trans. Math. Softw. 25, 101–107 (1999)
Algorithm 793: GQRAT – Gauss quadrature for rational functions. ACM Trans. Math. Softw. 25, 213–239 (1999)
Gander, W.: Adaptive quadrature – revisited. BIT 40, 84–101 (2000)
Gori, L., Pitolli, F.: Gauss quadrature for refinable weight functions. Appl. Comput. Harmon. Anal. 8, 249–257 (2000)
Gori, L., Lo Cascio, M.L.: Quadrature rules for rational functions. Numer. Math. 86, 617–633 (2000)
High-order Gauss–Lobatto formulae. Numer. Algorithms 25, 213–222 (2000)
Gauss–Radau formulae for Jacobi and Laguerre weight functions. Math. Comput. Simul. 54, 403–412 (2000) (Reprinted in Computational Science, Mathematics and Software, Ronald F. Boisvert and Elias Houstis (eds.) Purdue University Press, West Lafayette, IN, 2002)
Remark on the paper “Barycentric formulae for cardinal (SINC-) interpolants” by Jean-Paul Berrut. Numer. Math. 87, 791–792 (2001)
Waldvogel, J.: Computing the Hilbert transform of the generalized Laguerre and Hermite weight functions. BIT 41, 490–503 (2001)
The use of rational functions in numerical quadrature. J. Comput. Appl. Math. 133(1–2), 111–126 (2001)
Gauss quadrature approximations to hypergeometric and confluent hypergeometric functions. J. Comput. Appl. Math. 139, 173–187 (2002)
Computation of Bessel and Airy functions and of related Gaussian quadrature formulae. BIT 42, 110–118 (2002)
The interplay between classical analysis and (numerical) linear algebra – a tribute to Gene H. Golub. Electron. Trans. Numer. Anal. 13, 119–147 (2002)
Harris, F.E., Temme, N.M.: Expansions of the exponential integral in incomplete gamma functions. Appl. Math. Lett. 16, 1095–1099 (2003)
Generalized Gauss–Radau and Gauss–Lobatto formulae. BIT 44, 711–720 (2004)
Orthogonal polynomials (in Matlab). J. Comput. Appl. Math. 178, 215–234 (2005)
The Hardy–Littlewood function: an exercise in slowly convergent series. J. Comput. Appl. Math. 179, 249–254 (2005)
Computing polynomials orthogonal with respect to densely oscillating and exponentially decaying weight functions and related integrals. J. Comput. Appl. Math. 184, 493–504 (2005)
A historical note on Gauss-Kronrod quadrature. Numer. Math. 100, 483–484 (2005)
Numerical quadrature computation of the Macdonald function for complex orders. BIT Numer. Math. 45(3), 593–603 (2005)
The circle theorem and related theorems for Gauss-type quadrature rules. Electron. Trans. Numer. Anal. 25, 129–137 (2006)
Computing the Kontorovich–Lebedev integral transforms and their inverses. BIT Numer. Math. 46(1), 21–40 (2006)
On Euler’s attempt to compute logarithms by interpolation: a commentary to his letter of February 16, 1734 to Daniel Bernoulli, J. Comput. Appl. Math., to appear
Leopardi, P.: Conjectured inequalities for Jacobi polynomials and their largest zeros, Numer. Algorithms, doi:10.1007/s11075-007-9067-5 (2007)
Conference proceeding papers
Instability of linear second-order difference equations. In: Popplewell, C.M. (ed.) Proceedings of the IFIP Congress 62, p.207. North-Holland, Amsterdam (1963)
Computation of transcendental functions by recurrence relations. In: Kalenich, W.A. (ed.) Proceedings of the IFIP Congress 65, vol. 2, pp. 485–486. Spartan Books, Washington, D.C. (1966)
Advances in Chebyshev quadrature. In: Watson, G.A. (ed.) Numerical Analysis. Lecture Notes Math., vol. 506, pp. 100–121. Springer, Berlin Heidelberg New York (1976)
On generating Gaussian quadrature rules. In: Hämmerlin, G. (ed.) Numerische Integration. Internat. Ser. Numer. Math., vol. 45, pp. 147–154. Birkhäuser, Basel (1979)
An algorithmic implementation of the generalized Christoffel theorem. In: Hämmerlin, G. (ed.) Numerical Integration. Internat. Ser. Numer. Math., vol. 57, pp. 89–106. Birkhäuser, Basel (1982)
Milovanović, G.V.: On a class of complex polynomials having all zeros in a half circle. In: Milovanović, G.V. (ed.) Numerical Methods and Approximation Theory, pp. 49–53. Faculty of Electronic Engineering, Univ. Niš, Niš (1984)
Some new applications of orthogonal polynomials. In: Brezinski, C., Draux, A., Magnus, A.P., Maroni, P., Ronveaux, A. (eds.) Polynômes Orthogonaux et Applications. Lecture Notes Math., vol. 1171, pp. 63–73. Springer, Berlin Heidelberg New York (1985)
Gauss–Kronrod quadrature – a survey. In: Milovanović, G.V. (ed.) Numerical Methods and Approximation Theory III, pp. 39–66. Faculty of Electronic Engineering, University of Niš, Niš (1988)
Notaris, S.E.: Newton’s method and Gauss–Kronrod quadrature. In: Brass, H., Hämmerlin, G. (eds.) Numerical Integration III. Internat. Ser. Numer. Math., vol. 85, pp. 60–71. Birkhäuser, Basel (1988)
Orthogonality – conventional and unconventional – in numerical analysis. In: Bowers, K., Lund, J. (eds.) Computation and Control. Progress in Systems and Control Theory, vol. 1, pp. 63–95. Birkhäuser, Boston (1989)
Some applications and numerical methods for orthogonal polynomials. In: Wakulicz, A. (ed.) Numerical Analysis and Mathematical Modelling. Banach Center Publications, vol. 24, pp. 7–19. PWN Polish Scientific Publishers, Warsaw (1990)
Orthogonal polynomials on the semicircle. In: Wakulicz, A. (ed.) Numerical Analysis and Mathematical Modelling. Banach Center Publications, vol. 24, pp. 21–27. PWN Polish Scientific Publishers, Warsaw (1990)
Computational aspects of orthogonal polynomials. In: Nevai, P. (ed.) Orthogonal Polynomials: Theory and Practice. NATO ASI Series, Series C: Mathematical and Physical Sciences, vol. 294, pp. 181–216. Kluwer, Dordrecht (1990)
How (un)stable are Vandermonde systems? In: Wong, R. (ed.) Asymptotic and Computational Analysis. Lecture Notes in Pure and Appl. Math., vol. 124, pp. 193–210. Dekker, New York (1990)
Computational problems and applications of orthogonal polynomials. In: Brezinski, C., Gori, L., Ronveaux, A. (eds.) Orthogonal Polynomials and Their Applications. IMACS Annals Comput. Appl. Math., vol. 9, pp. 61–71. Baltzer, Basel (1991)
Remainder estimates for analytic functions. In: Espelid, T.O., Ganz, A. (eds.) Numerical Integration: Recent Developments, Software and Applications. NATO ASI Series, Series C: Mathematical and Physical Sciences, vol. 357, pp. 133–145. Kluwer, Dordrecht (1992)
Applications and computation of orthogonal polynomials. In: Abelman, S. (ed.) Proceedings of the Eighteenth South African Sympos. Numer. Math., pp. 47–71. Department of Computer Science, University of Natal, Durban (1992)
Gauss-type quadrature rules for rational functions. In: Brass, H., Hämmerlin, G. (eds.) Numerical Integration IV. Internat. Ser. Numer. Math., vol. 112, pp. 111–130. Birkhäuser, Basel (1993)
Summation of slowly convergent series. In: Wakulicz, A. (ed.) Numerical Analysis and Mathematical Modelling. Banach Center Publications, vol. 29, pp. 7–18. PWN Polish Scientific Publishers, Warsaw (1994)
Applications and computation of orthogonal polynomials. In: Dikshit, H.P., Micchelli, C.A. (eds.) Advances in Computational Mathematics: New Delhi, India. Series in Approximations and Decompositions, vol. 4, pp. 251–256. World Scientific, Singapore (1994)
The computation of special functions by linear difference equations. In: Elaydi, S., Győri, I., Ladas, G. (eds.) Advances in Difference Equations, pp. 213–243. Gordon and Breach, Amsterdam (1997)
The incomplete gamma functions since Tricomi. In: Tricomi’s Ideas and Contemporary Applied Mathematics, pp. 203–237. Atti dei Convegni Lincei, n.147. Accademia Nazionale dei Lincei, Roma (1998)
Orthogonal polynomials and quadrature. Electron. Trans. Numer. Anal. 9, 65–76 (1999)
Translations
Bartels, R., Witzgall, C.: Introduction to Numerical Analysis by J. Stoer and R. Bulirsch, translated from German. Springer, Berlin Heidelberg New York (1980). [2nd ed., Texts in Appl. Math., vol. 12. Springer, Berlin Heidelberg New York (1993)]
Lectures on numerical mathematics by H. Rutishauser, annotated translation from German. Birkhäuser, Boston (1990)
Gautschi, E.: Leonhard Euler by E.A. Fellmann, translated from German. Birkhäuser, Basel (2007)
Consideration of some series which are Leonhard Euler, downloadable from the E190 page of the Euler Archive at http://www.math.dartmouth.edu/~euler
Other
95 book reviews published in Math. Comp. and some 470 reviews of technical articles and books in Math. Reviews
Malmborg, F.: Calculations related to the improved free volume theory of liquids. Harvard Computation Laboratory, Problem Report 100, 1–41 (1956)
On error reducing multi-step methods (abstract). Notices Amer. Math. Soc. 10, 95 (1963)
Recognition of Christoffel’s work on quadrature during and after his lifetime. In: Butzer, P.L., Fehér, F. (eds.) E.B. Christoffel: The Influence of His Work in Mathematics and the Physical Sciences, pp. 724–727. Birkhäuser, Basel (1981)
To Alexander M. Ostrowski on his ninetieth birthday. Linear Algebra Appl. 52/53, xi–xiv (1983)
Alexander Ostrowski 90jährig, Neue Zürcher Zeitung, September 24 (1983)
Wimp, J.: In memoriam Yudell L. Luke June 26, 1918 – May 6, 1983. Math. Comp. 43, 349–352 (1984)
Reminiscences of my involvement in de Branges’s proof of the Bieberbach conjecture. In: Baernstein II, A., Drasin, D., Duren, P., Marden, A. (eds.) The Bieberbach Conjecture. Proceedings of the Symposium on the Occasion of the Proof. Math. Surv. Monogr., vol. 21, pp. 205–211. American Mathematical Society, Providence, RI (1986)
A.M. Ostrowski (1893–1986). SIAM News 20, pp. 2,19 (January 1987)
A conjectured inequality for Hermite interpolation at the zeros of Jacobi polynomials. Problem 87-7, SIAM Rev. 29, 297–298 (1987)
Notaris, S.E.: Problem 6. In: Brass, H., Hämmerlin, G. (eds.) Numerical Integration IV. Internat. Ser. Numer. Math., vol. 112, pp. 379–380. Birkhäuser, Basel (1993)
Reflections and recollections. In: Zahar, R.V.M. (ed.) Approximation and Computation: A Festschrift in Honor of Walter Gautschi. Internat. Ser. Numer. Math., vol. 119, pp.xvii–xxxv. Birkhäuser, Basel (1994)
Ostrowski and the Ostrowski prize. Math. Intell. 20, 32–34 (1998) [Revised and translated into German, Uni Nova 87, pp. 60–62. Universität Basel (2000)]
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Gautschi, W. A guided tour through my bibliography. Numer Algor 45, 11–35 (2007). https://doi.org/10.1007/s11075-006-9051-5
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DOI: https://doi.org/10.1007/s11075-006-9051-5