Professor, Graduate Advisor
|Office:||Clements Hall 209 B|
Ph.D. 1995, Colorado State University
Numerical approximation and fast methods for boundary integral equations, with applications to computational electromagnetics, optics, and fluid mechanics.
Professor Tausch's research focuses on the numerical analysis of integral and partial differential equations. He has developed efficient numerical algorithms to solve problems that arise in Electromagnetics, Optics and Fluid Mechanics. He currently uses integral equation methods to solve high-dimensional parabolic equations that arise, for instance, in free surface or shape identification problems.
He has collaborated with engineers to simulate the behavior of integrated circuits, micro-mechanical devices and photonic waveguides. His software has been used in industry to help the design of semiconductor lasers with optical gratings.
His work has appeared in Mathematics as well as Engineering publications, such as, SIAM Journal of Scientific Computing, Mathematics of Computation, Computing, Journal of Numerical Mathematics, Journal of Computational Physics, Computational Mechanics, Journal of the Optical Society of America A, IEEE Transactions on Microwave Theory and Technology, IEEE Transactions on Computer-Aided Design and Inverse Problems.