Applied Math and Computer Simulations: A Waltz
S.P.A.M.S., MIT, September 16, 2004
Through the ages, mathematics has danced with many partners. Sometimes leading; sometimes following. Occasionally clumsy; often graceful. In this SPAMS talk, we will take a look at the relatively recent dance between mathematics and computer simulation. We'll see how pure and applied mathematics provide a crucial foundation for the validity of simulation methodology and how modern simulation technology can pave the way to new mathematical insight. Several software packages that may be of value to graduate students and researchers in applied mathematics, science, and engineering will be highlighted, and a few open mathematical problems will be discussed.