Arnold to Speak on Stability, Consistency, and Convergence: Modern Variations on a Classical Theme

Douglas Arnold picture

Douglas Arnold, University of Minnesota, will deliver an AMS-MAA Invited Address on Monday, January 5, 2009, 11:10 a.m. to noon. He will speak on Stability, Consistency, and Convergence: Modern Variations on a Classical Theme. This lecture will be held in Ballroom Salons 1 and 2, Lobby Level, Marriott Wardman Park.

microphoneListen to Douglas Arnold's talk with AMS Public Awareness Officer Mike Breen about his address.

Douglas N. Arnold is the McKnight Presidential Endowed Professor of Mathematics at the University of Minnesota. He is a research mathematician and educator with a strong interest in mathematics in interdisciplinary research and in the public understanding of the role of mathematics. In 2008, Prof. Arnold serves as the President-elect of SIAM, the Society for Industrial and Applied Mathematics and will serve a two-year term as president of SIAM beginning at the start of 2009, followed by a year as past president.

Prof. Arnold's research interests include numerical analysis, partial differential equations, mechanics, and in particular, the interplay between these fields. Much of his work concerns the computer solution of partial differential equations, focusing on the development and understanding of methods for simulating physical phenomena ranging from the deformation of elastic plates and shells to the collision of black holes. Around 2002 he initiated the finite element exterior calculus, a new approach to the stability of finite element methods based on geometric and topological structure underlying the relevant partial differential equations. The development of the finite element exterior calculus is a major direction of his current research work.

Prof. Arnold received his Ph.D. degree in Mathematics from the University of Chicago in 1979. From 1979 through 1989 he was on the faculty of the University of Maryland. In 1989 he moved to Penn State University where he was appointed Distinguished Professor Mathematics, and where he remained until moving to University of Minnesota and assuming the position of Director at the Institute for Mathematics and its Applications in August 2001.

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