Applied Mathematics
Our work in applied mathematics ranges from algorithm design, to development of software tools and technology, to advanced simulations in applications of interest to the U.S. Department of Energy. MCS is formulating rigorous theory leading to fast algorithms, deployed in portable software on leadingedge computing platforms. We explore three main areas along with their interactions::
 New approaches for mathematical modeling and numerical simulations to study complex, multiphysics, multiscale phenomena that arise in scientific and engineering problems, focusing on PDE and ODE solvers, discretizations, uncertainty quatification, and stochastic approaches.
 Stateoftheart techniques that fully exploit highperformance computing and beyondMoore computing and lay the groundwork for new scientific insights, including automatic differentiation, verification, and performance modeling, tuning, and productivity.
 Algorithms and models for analysis, design, decision, and control problems that incorporate novel data fusion, machine learning, optimization, statistics, and uncertainty quantification methodology.
We also administer the J. H. Wilkinson Prize for Numerical Software.
Active Projects

January 17, 2013

January 17, 2013

January 17, 2013

September 25, 2017

October 24, 2017

March 19, 2013

November 12, 2014

March 19, 2013

October 24, 2017

January 17, 2013

May 14, 2013

June 24, 2013

January 17, 2013

May 17, 2013

May 9, 2013

January 17, 2013

November 11, 2014

November 7, 2014

November 13, 2017

October 30, 2017

October 2, 2017

January 17, 2013

January 17, 2013

May 10, 2013