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Instructor Positions The Virginia Tech Mathematics Department invites applications for full-time instructor positions to start in the Fall of 2018. Please see this document for more information.

DROP/ADD: Fall 2018 drop/add opens again August 24, 2018. If you tried to add an undergraduate math course and received an honors restriction, a major or level restriction, or a prerequisite error, please complete the Math Fall 2018 Drop/Add Survey. Students who receive a closed section error should continue to try to add themselves to a section of the course. We will open seats periodically. More information can be found here.

CREDIT-BY-EXAM: Sign-up times for credit-by-exam, end of Summer I 2018
THURSDAY, June 28, 10:00 AM - 11:30 AM and 1:30 PM - 3:00 PM
Summer I 2018 Credit by Exam Information

Next change of major period to add, change or drop a primary or secondary major, minor, or concentration: July 29 - September 1, 2018.

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Featured Research

Serkan Gugercin - Direct numerical simulation of dynamical systems has been one of the few available means when goals include accurate prediction or control of complex physical phenomena of scientific interest or industrial value. However, the ever-increasing need for improved accuracy leads to very large-scale and complex dynamical systems. Simulations in such large-scale settings can be overwhelming and make unmanageably large demands on computational resources, which is the main motivation for model reduction. The goal is to produce a simpler reduced-order model approximating the original one as accurately as possible. The resulting reduced model can then be used as an efficient surrogate to the original, to replace it in a larger simulation or to develop a simpler and faster controller suitable for real time applications. Krylov-based interpolation methods have emerged as the promising candidates for model reduction in realistic large-scale settings. Dr. Gugercin's research focuses on developing optimal, robust and systematic Krylov-based projection methods for efficient construction of high fidelity and optimal reduced-order models in realistic settings with millions of degrees of freedom.

The figure shows the rapid convergence to the optimal reduced model for three different initializations, in a recent method introduced in the paper " An iterative SVD-Krylov based algorithm for model reduction of large-scale dynamical systems", by Gugercin.

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