Applied mathematics can be seen as the enabling science, leading
to better understanding of system behavior as well as insight
into how systems can be manipulated to achieve desired behavior.
These two issues fall under the umbrellas of system modeling
and the control and optimization for these systems.
In each case, new mathematics are needed for the analysis and
computation of these models, controls and optimal designs. The
complexity of modern systems makes this a truly interdisciplinary
task, requiring expertise from all areas of mathematics as well as
disciplinary specialists from the sciences, engineering, statistics
and computer science. Future researchers need to be trained in
the interface of these disciplines.
ICAM has expertise in a number of important areas in applied
mathematics. Many of these areas are listed below. Other
evidence of our breadth is illustrated in that we are involved with.
Computational Fluid Dynamics
Verification and Validation of fluid models. Large eddy
simulation. Scientific computing.
Control of Distributed Parameter Systems
Summary.
Numerical Analysis
Numerical Methods for Partial Differential Equations
