Walter Gautschi

Walter Gautschi (December 11, 1927) is a Swiss-American mathematician, known for his contributions to numerical analysis.[1] He has authored over 200 papers in his area and published four books.

Born in Basel, he has a Ph.D. in mathematics from the University of Basel on the thesis Analyse graphischer Integrationsmethoden advised by Alexander Ostrowski and Andreas Speiser (1953).[2] Since then, he did postdoctoral work as a Janggen-Pöhn Research Fellow at the Istituto Nazionale per le Applicazioni del Calcolo in Rome (1954) and at the Harvard Computation Laboratory (1955). He had positions at the National Bureau of Standards (1956–59), the American University in Washington D.C., the Oak Ridge National Laboratory (1959–63) before joining Purdue University where he has worked from 1963 to 2000 and now being professor emeritus. He has been a Fulbright Scholar at the Technical University of Munich (1970) and held visiting appointments at the University of Wisconsin–Madison (1976), Argonne National Laboratory, the Wright-Patterson Air Force Base, ETH Zurich (1996-2001), the University of Padova (1997), and the University of Basel (2000).[3]

As well-known (z. B. Gerhard Wanner, Geneva ca. 2011 and the well-known first-hand sources and subsequent reports (Math. Intelligencer, etc), one of W. Gautschi's most popular contribution (numerical simulation of special functions) offered a technico-philosophical evidence and confidence to de Brange's tour-de-force along the elusive Bieberbach conjecture (coefficients magnitude of schlicht functions), which hitherto received only slow, difficult and partial progress(es) by work of such masters as Bieberbach, Loewner, Gabaredian-Schiffer (the former=one of Ahlfors' student).

Books
  • Colloquium approximatietheorie, MC Syllabus 14, Mathematisch Centrum Amsterdam, 1971. With H. Bavinck and G. M. Willems
  • Numerical analysis: an introduction, Birkhäuser, Boston, 1997;[4] 2nd edition, 2012.
  • Orthogonal polynomials: computation and approximation, Oxford University Press, Oxford, 2004.[5]
  • Walter Gautschi, Selected Works with Commentaries, Springer Science & Business Media, 2013, 3 vols., Brezinski, Claude, and Ahmed Sameh, eds.
  • Orthogonal polynomials in MATLAB: exercises and solutions, SIAM, Philadelphia, 2016.[6]

Surveys
  • Gander, W., & Gautschi, W. (2000). Adaptive quadrature—revisited. BIT Numerical Mathematics, 40(1), 84-101.
  • Gautschi, W. (1996). Orthogonal polynomials: applications and computation. Acta Numerica, 5, 45-119.
  • Gautschi, W. (1981). A survey of Gauss-Christoffel quadrature formulae. In EB Christoffel (pp. 72-147). Birkhäuser, Basel.
  • Gautschi, W. (1967). Computational aspects of three-term recurrence relations. SIAM Review, 9(1), 24-82.

References
  1. Philip J. Davis, Walter Gautschi, interview Society for Industrial and Applied Mathematics (December 7, 2004)
  2. Walter Gautschi at the Mathematics Genealogy Project
  3. homepage at Purdue University.
  4. Stetter, Hans J. (1999). "Review of Numerical analysis, an introduction by Walter Gautschi". Math. Comp. 68 (226): 887. doi:10.1090/S0025-5718-99-01151-5.
  5. Segura, Javier (June 2006). "Review of Orthogonal Polynomials: Computation and Approximation by Walter Gautschi". SIAM Review. 48 (2): 431–433. JSTOR 20453824.
  6. Townsend, Alex. "Review of Orthogonal polynomials in MATLAB: exercises and solutions by Walter Gautschi" (PDF). www.math.cornell.edu/~ajt.
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