SIAM Past President Lecture
نویسنده
چکیده
Serving as SIAM President was a unique opportunity for me to observe and participate in the process by which we establish scientific policy in this country. As is inevitable in such circumstances, I brought my personal perspective to these activities. Here I describe some of my experiences, express my opinions and speculate on research trends. Perhaps my biggest struggle as SIAM President was to articulate the “reasonable effectiveness of mathematics in computational science.” I believe that many of our colleagues in other disciplines take mathematics for granted as a foundation for computation, even when this is unwarranted. I have been surprised repeatedly during my career by situations in which the interplay between mathematics and applications is subtle. New mathematical discoveries and computational methods have been needed to resolve discrepancies, leading to deeper insight into both the mathematics and the science. I emphasize this interplay, using problems I have encountered during my research on dynamical systems as examples. I take a broad view, illustrating how we can exploit the power of mathematics to distill the essence of problems and find solutions based upon core principles and critical ideas.
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