Paul Garabedian

Paul Roesel Garabedian (born August 2, 1927 in Cincinnati , Ohio , † May 13, 2010 in Manhattan , New York ) was an American mathematician who dealt with partial differential equations and numerical mathematics.

Live and act

Garabedian studied at Brown University (Bachelor 1946), among others with RGD Richardson and William Feller , and Harvard University , where he received his doctorate in 1948 with Lars Ahlfors (with a thesis on Szegö core functions) and also worked with Max Schiffer . In 1950 he became Assistant Professor, 1952 Associate Professor and 1956 Professor at Stanford University . From 1959 he was a professor at the Courant Institute of Mathematical Sciences of New York University , where he was director of the department "Computational Fluid Dynamics" from 1978. From 1972 to 1978 he was director of the Courant Mathematics and Computing Laboratories of the United States Department of Energy (DOE).

Garabedian also dealt with applications including conformal mapping in aerodynamics (flows in the transonic range, i.e. near the speed of sound, and shock waves, design of aircraft wing profiles) and numerical calculation methods (for massive computer use, "scientific computing") in hydrodynamics and Plasma physics ( magnetohydrodynamics codes in three dimensions for fusion reactor experiments, used for the design of an axially symmetric stellarator ). To his work in the field of scientific computing in hydrodynamics it was originally by asking a colleague from the industry (David Young) attached to the development of intercontinental ballistic missiles worked (ICBMs), be led, supported by his first wife Gladys, a programmer at IBM .

He originally came from complex analysis since his dissertation at Ahlfors and also worked on the Bieberbach conjecture (case n = 4 with Max Schiffer 1955). At the ICM in Moscow in 1966 he gave a presentation on computer experiments on the Bieberbach conjecture.

From 1961 to 1963 he was Sloan Research Fellow and 1966 and 1981/82 Guggenheim Fellow and 2004 Fellow of the American Physical Society . In 1983 he received the Birkhoff Prize . He was a member of the National Academy of Sciences and the American Academy of Arts and Sciences (1963). In 1976 and 1980 he also received two awards from NASA (Public Service Group Achievement Award, Certificate of Recognition). In 1989 he received the Theodore von Kármán Prize from SIAM . In 1998 he received the National Academy of Science Award in Applied Mathematics and Numerical Analysis. In 1970 he was invited speaker at the International Congress of Mathematicians in Nice (Numerical design of shockless transonic airfoils, with DG Korn) and in 1966 in Moscow (Computer experiments with the Bieberbach conjecture).

Jerry Kazdan is one of his PhD students .

Fonts

• Partial Differential Equations , Wiley, 1964, American Mathematical Society 1998, ISBN 0-8218-1377-3
• Applications of the theory of partial differential equations to problems of fluid mechanics in Edwin F. Beckenbach (editor): Modern mathematics for the engineer , McGraw Hill, 1961
• with F. Bauer, D. Korn: The theory of supercritical wing sections , Springer, 1972, part 2 with Bauer, Korn, Jameson, 1975
• A unified theory of Tokamaks and Stellarators , Comm. Pure Applied Mathematics, Vol. 47, 1994, pp. 228-292
• with Frances Bauer, O. Betancourt: Magnetohydrodynamic Equilibrium and Stability of Stellarators , Springer-Verlag, 1984, ISBN 0-387-90966-4
• Computational mathematics and physics of fusion reactors. In: Proceedings of the National Academy of Sciences . Volume 100, number 24, November 2003, pp. 13741-13745, doi : 10.1073 / pnas.2436390100 , PMID 14614129 , PMC 283491 (free full text).

Web links

• Literature by and about Paul Garabedian in the catalog of the German National Library
• Homepage at New York University
• Oral History Interview
• Obituary by Jerry Kazdan, Peter Lax a. a., Notices AMS, March 2014