Festkolloquium der Fakultät Elektrotechnik und Informationstechnik der Technischen Universität München

Donnerstag, 25.03.2010, 15.00 Uhr

Festredner: Prof. Gil Strang, MIT

Applied Mathematics Centered Around Ohm

This lecture presents a framework for a wide range of problems in applied mathematics and computational engineering. I use it constantly in teaching and thinking about new applications. One very useful model is a network with nodes and edges and a "weighted graph Laplacian matrix." The weights came originally from Ohm ! Those weights are the conductances in a network (and networks are now everywhere in engineering -- and in neuroscience and social science and computational science). The Laplacian matrix L = A' C A has conductances in Ohm's diagonal matrix C, and connectivity in the incidence matrix A (leading to Kirchhoff's Laws). We believe that A' C A is the central matrix for applied mathematics. I hope the applications - discrete and continuous - will be convincing and interesting.

Video Lectures of Gil Strang (MIT OpenCourseWare)