The program focuses on the role of numerical analysis, simulation and scientific computing for understanding and illuminating our complex world. The development of computational methodologies and framework has been a mainstay of the applied mathematics community for more than 50 years. The IMA has not sponsored a program in this general area since the annual year in High Performance Computation in 1996-97. We feel that the time is right to revisit this topic, and the broad community that it represents.
The annual year outlined below will broadly survey and sample current activities in this field, ranging on one hand from purely mathematical developments regarding numerical algorithms, numerical methods and reduced order models; to developments triggered by changing computational infrastructure and high performance computing; to prominent issues arising in large computations with substantial uncertainty. Approximately one third of the year will focus primarily on application areas where these mathematical ideas have (and will continue have) great impact. We will focus first on computing problems with societal importance, and secondly, on computing in sports and the arts.