Walter Gautschi
Walter Gautschi is a Swiss-American mathematician, known for his contributions to numerical analysis. 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.
Since then, he did postdoctoral work as a Janggen-Pöhn Research
Fellow at the Istituto Nazionale per le Applicazioni del Calcolo in Rome and at the Harvard Computation Laboratory.
He had positions at the National Bureau of Standards,
the American University in Washington D.C.,
the Oak Ridge National Laboratory 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 and held visiting appointments at the
University of Wisconsin–Madison, Argonne National Laboratory, the Wright-Patterson Air Force Base,
ETH Zurich, the University of Padova, and the University of Basel.
As well-known, one of W. Gautschi's most popular contribution offered a technico-philosophical evidence and confidence to de Brange's tour-de-force along the elusive Bieberbach conjecture, which hitherto received only slow, difficult and partial progress by work of such masters as Bieberbach, Loewner, Gabaredian-Schiffer.Books
- Colloquium approximatietheorie, MC Syllabus 14, Mathematisch Centrum Amsterdam, 1971. With H. Bavinck and G. M. Willems
- Numerical analysis: an introduction, Birkhäuser, Boston, 1997; 2nd edition, 2012.
- Orthogonal polynomials: computation and approximation, Oxford University Press, Oxford, 2004.
- 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.
Surveys
- Gander, W., & Gautschi, W.. Adaptive quadrature—revisited. BIT Numerical Mathematics, 40, 84-101.
- Gautschi, W.. Orthogonal polynomials: applications and computation. Acta Numerica, 5, 45-119.
- Gautschi, W.. A survey of Gauss-Christoffel quadrature formulae. In EB Christoffel. Birkhäuser, Basel.
- Gautschi, W.. Computational aspects of three-term recurrence relations. SIAM Review, 9, 24-82.