Paul Garabedian

Paul R. Garabedian ( born August 2, 1927 in Cincinnati, Ohio, † 13 May, 2010 Manhattan, New York) was an American mathematician who worked on partial differential equations and numerical analysis.

Life and work

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

Garabedian also dealt with applications, among others, conformal mappings in Aerodynamics ( flows in the transonic range, ie close to the speed of sound and shock waves, design of aircraft wing profiles ) and numerical calculation methods ( for massive computer use, "Scientific Computing " ) of hydrodynamics and plasma physics ( MHD codes in three dimensions for fusion reactor experiments, used for the design of an axially symmetric stellarator ). For his work in the field of scientific computing in hydrodynamics it was originally by asking a colleague from the industry (David Young), who worked on the development of intercontinental ballistic missiles ( ICBMs ), be led, supported by his first wife Gladys, a programmer at IBM.

He originally came from his dissertation at Ahlfors of complex analysis and also worked on the Bieberbach conjecture ( the case n = 4 with Max Schiffer 1955). On the ICM in Moscow in 1966, he wore over computer experiments for Bieberbach conjecture ago.

1961 to 1963 he was a Sloan Fellow and in 1966 and 1981/82 Guggenheim Fellow. In 1983 he received the Birkhoff Prize. He is a member of the National Academy of Sciences and the American Academy of Arts and Sciences. 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 of the SIAM. In 1998 he received the National Academy of Sciences Award in Applied Mathematics and Numerical Analysis. In 1970 he was invited speaker at the International Congress of Mathematicians in Nice (Numerical design of transonic airfoils shockless, with DG grain ) and in 1966 in Moscow (Computer experiments with the Bieberbach conjecture ).

His doctoral Jerry Kazdan heard.

Writings

  • Partial Differential Equations, Wiley 1964, American Mathematical Society 1998, ISBN 0821813773
  • 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 farmers, grain, Jameson 1975
  • A unified theory of tokamaks and stellarator, Comm.Pure Applied Mathematics, Bd.47, 1994, p.228 -292
  • With Frances Bauer, O. Betancourt: Magneto Hydro Dynamic Equilibrium and Stability of Stellarator, Springer- Verlag, 1984, ISBN 0387909664
  • Computational mathematics and physics of fusin reactors, Proc. Nat. Acad. Sci., 100, 2003, pp. 13741-13745
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