Ralph E. Kleinman

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Ralph Ellis Kleinman (born July 27, 1929 in the Bronx , New York City , † February 23, 1998 in Newark , Delaware ) was an American mathematician .

Life

Ralph E. Kleinman grew up in Lindenhurst on the south coast of Long Island and in Forest Hills in Queens, New York . He studied mathematics at New York University and the University of Michigan in the late 1940s ; he received his Master of Arts in 1951. After his military service and a few years at the Radiation Laboratory of the University of Michigan, he received a Fulbright scholarship and went to the Technical University of Delft in the Netherlands , where he received his doctorate in 1961. After his return he worked again at the Radiation Laboratory in Michigan, where he dealt with the mathematical description of scattering processes and the propagation of waves . In 1968 he went to Newark at the University of Delaware , where he later became Professor of Mathematical Sciences and in 1988 founded the Center for the Mathematics of Waves , of which he was director until his death.

The main focus of Kleinman's work was the application of integral equations to scattering processes and wave propagation and related inverse problems . The work with Peter van den Berg from the Technical University of Delft on inverse scattering problems and the reconstruction method of the Modified Gradient Technique that they developed should be emphasized .

Works (selection)

  • Electromagnetic scattering by a linearly oscillating target. Air Force Cambridge Research Laboratories, Air Force Systems Command, United States Air Force, 1975.
  • with Peter van den Berg: A modified gradient method for two-dimensional problems in tomography. In: Journal of Computational and Applied Mathematics. Vol. 42, No. 1, 1992, pp. 17-35, doi : 10.1016 / 0377-0427 (92) 90160-Y
  • with Peter van den Berg: An Extended Range Modified Gradient Technique for Profile Inversion. Technical University of Delft, Faculteit der Elektrotechniek, Delft 1992 ( PDF ).
  • with Peter van den Berg: A total variation enhanced modified gradient algorithm for profile reconstruction. In: Inverse Problems. Vol. 11, No. 3, 1995, L5, doi : 10.1088 / 0266-5611 / 11/3/002
  • with Peter van den Berg: Gradient Methods in Inverse Acoustic and Electromagnetic Scattering. In: Lorenz T. Biegler et al. (Ed.): Large-Scale Optimization with Applications. Springer, 1997, ISBN 978-1-4612-7357-8 , pp. 173-194.
  • with George Dassios: Low Frequency Scattering. Oxford Univ. Press, New York 2000, ISBN 978-0198536789 .

Web links

Individual evidence

  1. ^ A b Fadil Santosa: Obituaries: Ralph E. Kleinman. ( Memento of July 7, 2014 in the Internet Archive ) Society for Industrial and Applied Mathematics (SIAM), April 14, 1998.
personal data
SURNAME Kleinman, Ralph E.
ALTERNATIVE NAMES Kleinman, Ralph Ellis (full name)
BRIEF DESCRIPTION American mathematician
DATE OF BIRTH July 27, 1929
PLACE OF BIRTH Bronx , New York
DATE OF DEATH February 23, 1998
Place of death Newark , Delaware