Hierarchies in Simulation-Based Science and Engineering
TITLE:
Hierarchies in Simulation-Based Science and Engineering
DATE:
Friday, April 24th, 2015
TIME:
3:30 PM
LOCATION:
GMCS 214
SPEAKER:
Dr. David Levermore. Dept. of Mathematics at University of Maryland
ABSTRACT:
Simulation has emerged as the third pillar of science and engineering, complementing observation and theory. It plays a major role when the system being studied is either too remote, too complicated, or too large to allow a thorough observational interrogation. The accompanying theoretical framework is usually multi-description, multi-physics, and multi-scale. The models used are often data-driven. This all demands an interdisciplinary hierarchical approach to models, algorithms, and data. We show how this approach applies to model validation, algorithm verification, model and algorithm building, calibration, and uncertainty quantification. It gives importance to different mathematical questions than a classical non-hierarchical approach. It demands a larger role for statistics. It requires scientists and mathematicians to be good engineers in order to do good science. Examples might be drawn from climate, weather, plasma, astrophysics, engineering, biochemistry, fisheries, and other applications.
HOST:
Dr. Jose Castillo
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