He obtained an M.S. in physics from Carnegie Institute of Technology (1948) where he also got his Sc.D. on the thesis Fourier Transforms of Moebius Series advised by Richard Duffin (1950).[2] He then worked at the institute for Fluid Dynamics at University of Maryland, College Park (1950–60), and as professor at University of Minnesota (1961–98) where he was department head (1967–69) and now is Professor Emeritus (1998–). Weinberger was the first director of Institute for Mathematics and its Applications (1981–87). Weinberger served as the IMA's first director from 1982 to 1987, and under his leadership, the IMA quickly became known for cutting-edge scientific programs, a collaborative atmosphere, and as a training ground for postdoctoral researchers. During his tenure, Weinberger was very engaged in scientific life at the IMA, attending lectures and collaborating with visitors and postdocs. His presence at these lectures usually meant that the toughest and most penetrating questions were asked.
While well known for his contributions to the analysis of partial differential equations, especially eigenvalue problems, Weinberger turned his attention to mathematical biology later in his career. He remained active in research throughout his life and authored several papers after his retirement in 1998. Weinberger was elected a member of the American Academy of Arts and Sciences in 1986 and was in the inaugural class of the American Mathematical Society Fellows in 2012 American Mathematical Society.[3]
Weinberger, H. F. (1952). "An inequality with alternating signs". Proc Natl Acad Sci U S A. 38 (7): 611–613. Bibcode:1952PNAS...38..611W. doi:10.1073/pnas.38.7.611. PMC1063623. PMID 16589155.
with J. B. Diaz: Weinberger, H. F. (1952). "Error estimation in the Weinstein method for eigenvalues". Proc. Amer. Math. Soc. 3 (4): 643–646. doi:10.1090/s0002-9939-1952-0050177-5. MR 0050177.
Diaz, J. B.; Weinberger, H. F. (1953). "A solution of the singular initial value problem for the Euler-Poisson-Darboux equation". Proc. Amer. Math. Soc. 4 (5): 703–715. doi:10.1090/s0002-9939-1953-0058099-1. MR 0058099.
Weinberger, H.F. (1960). "Error bounds in the Rayleigh-Ritz approximation of eigenvectors" (PDF). Journal of Research of the National Bureau of Standards. 64B (4): 216–225. doi:10.6028/jres.064b.023.
Weinberger, H. F. (1964). "On bounding harmonic functions by linear interpolation". Bull. Amer. Math. Soc. 70 (4): 525–529. doi:10.1090/s0002-9904-1964-11183-6. MR 0162953.
with M. H. Protter: Protter, M. H.; Weinberger, H. F. (1966). "On the spectrum of general second order operators". Bull. Amer. Math. Soc. 72 (2): 251–255. doi:10.1090/s0002-9904-1966-11485-4. MR 0190527.
Books
A First Course in Partial Differential Equations (Dover, 1995)
Maximum Principles in Differential Equations (Prentice-Hall, 1967; Springer, 1985). With Murray H. Protter.
Variational Methods for Eigenvalue Approximation, C.B.M.S. Regional Conference Series in Applied Mathematics #15, S.I.A.M., Philadelphia, 1974.
^List of Fellows of the American Mathematical Society, retrieved 2013-09-01.
March 12, 2023
hans, weinberger, hans, weinberger, september, 1928, vienna, september, 2017, durham, north, carolina, austrian, american, mathematician, known, contributions, variational, methods, eigenvalue, problems, partial, differential, equations, fluid, dynamics, obtai. Hans F Weinberger September 27 1928 in Vienna September 15 2017 in Durham North Carolina 1 was an Austrian American mathematician known for his contributions to variational methods for eigenvalue problems partial differential equations and fluid dynamics He obtained an M S in physics from Carnegie Institute of Technology 1948 where he also got his Sc D on the thesis Fourier Transforms of Moebius Series advised by Richard Duffin 1950 2 He then worked at the institute for Fluid Dynamics at University of Maryland College Park 1950 60 and as professor at University of Minnesota 1961 98 where he was department head 1967 69 and now is Professor Emeritus 1998 Weinberger was the first director of Institute for Mathematics and its Applications 1981 87 Weinberger served as the IMA s first director from 1982 to 1987 and under his leadership the IMA quickly became known for cutting edge scientific programs a collaborative atmosphere and as a training ground for postdoctoral researchers During his tenure Weinberger was very engaged in scientific life at the IMA attending lectures and collaborating with visitors and postdocs His presence at these lectures usually meant that the toughest and most penetrating questions were asked While well known for his contributions to the analysis of partial differential equations especially eigenvalue problems Weinberger turned his attention to mathematical biology later in his career He remained active in research throughout his life and authored several papers after his retirement in 1998 Weinberger was elected a member of the American Academy of Arts and Sciences in 1986 and was in the inaugural class of the American Mathematical Society Fellows in 2012 American Mathematical Society 3 Contents 1 Selected articles 2 Books 3 See also 4 ReferencesSelected articles EditWeinberger H F 1952 An inequality with alternating signs Proc Natl Acad Sci U S A 38 7 611 613 Bibcode 1952PNAS 38 611W doi 10 1073 pnas 38 7 611 PMC 1063623 PMID 16589155 with J B Diaz Weinberger H F 1952 Error estimation in the Weinstein method for eigenvalues Proc Amer Math Soc 3 4 643 646 doi 10 1090 s0002 9939 1952 0050177 5 MR 0050177 Diaz J B Weinberger H F 1953 A solution of the singular initial value problem for the Euler Poisson Darboux equation Proc Amer Math Soc 4 5 703 715 doi 10 1090 s0002 9939 1953 0058099 1 MR 0058099 Weinberger H F 1960 Error bounds in the Rayleigh Ritz approximation of eigenvectors PDF Journal of Research of the National Bureau of Standards 64B 4 216 225 doi 10 6028 jres 064b 023 Weinberger H F 1964 On bounding harmonic functions by linear interpolation Bull Amer Math Soc 70 4 525 529 doi 10 1090 s0002 9904 1964 11183 6 MR 0162953 with M H Protter Protter M H Weinberger H F 1966 On the spectrum of general second order operators Bull Amer Math Soc 72 2 251 255 doi 10 1090 s0002 9904 1966 11485 4 MR 0190527 Books EditA First Course in Partial Differential Equations Dover 1995 Maximum Principles in Differential Equations Prentice Hall 1967 Springer 1985 With Murray H Protter Variational Methods for Eigenvalue Approximation C B M S Regional Conference Series in Applied Mathematics 15 S I A M Philadelphia 1974 See also EditDavis Kahan Weinberger dilation theoremReferences Edit homepage Hans Weinberger at the Mathematics Genealogy Project List of Fellows of the American Mathematical Society retrieved 2013 09 01 Retrieved from https en wikipedia org w index php title Hans Weinberger amp oldid 1089464178, wikipedia, wiki, book, books, library,
