Computational Science and Numerical Analysis

Computation is now regarded as an equal and indispensable partner, along with theory and experiment, in the advance of scientific knowledge and engineering practice. Numerical simulation enables the study of complex systems and natural phenomena that would be too expensive or dangerous, or even impossible, to study by direct experimentation. The quest for ever higher levels of detail and realism in such simulations requires enormous computational capacity, and has provided the impetus for dramatic breakthroughs in computer algorithms and architectures. Due to these advances, computational scientists and engineers can now solve large-scale problems that were once thought intractable.

Computational science and engineering (CSE) is a rapidly growing multidisciplinary area with connections to the sciences, engineering, mathematics and computer science. CSE focuses on the development of problem-solving methodologies and robust tools for the solution of scientific and engineering problems.

(quoted from "Graduate Education for Computational Science and Engineering"  SIAM Working Group on CSE Education.)

Computational science covers as broad array of problems arising in Mathematics, the sciences and engineering. The particular interests of our group members include computational nonlinear optics, electromagnetic scattering, nanophotonics, large scale computational fluid dynamics, modeling of semiconductor material inverse problems of Single Photon Emission Computed Tomography and modeling of partial differential equations with noise. Several of us are involved in large scale parallel computations both locally on Beowulf clusters as well as remotely using national supercomputer resources.

We have a regular weekly seminar in computational science and modeling that brings together faculty and students from across many disciplines.

The faculty who comprise our group are (alphabetically):

Moysey Brio, Paul Dostert, Robert Indik, Alexander Korotkevich, Paul Kraus, Leonid Kunyansky, Robert Maier, Juan Restrepo, Marek Rychlik, Mikhail Stepanov