Extra Colloquium Mathematics, Marko Seslija

Join us for coffee and tea at 15.30 p.m.

Date:                          Tuesday, March 5^th 2013

Speaker:                     Marko Seslija

Room:                         5161.0267 (Bernoulliborg)

Time:                           16.00

Title: Discrete Geometry Approach to Structure-Preserving Discretization of ort-Hamiltonian Systems

Abstract:

Computers have emerged as essential tools in the modern scientific analysis and simulation-based design of complex physical systems. The deeply-seated abstraction of continuity immanent to many physical systems inherently clashes with a digital computer's ability of storing and manipulating only finite sets of numbers. While there has been a number of computational techniques that proposed discretizations of differential equations, the geometric structures they model are often lost in the process. In this talk, which surveys crucial aspects of my thesis, I will offer a geometric framework for the discretization of a class of physical systems (so-called port-Hamiltonian systems) without destroying the underlying geometric structure of the original system. The most important consequences of this thesis are that many of the important results from differential geometry can be transferred into the discrete realm and thereby lead to numerically and physically faithful models, which later can be fed to computers and simulate crucial aspects of the physical reality.

Colloquium coordinators are Prof.dr. A.C.D. van Enter (e-mail : A.C.D.van.Enter@rug.nl) and

Dr. A.V. Kiselev (e-mail: a.v.kiselev rug.nl)

http://www.rug.nl/wiskunde/nieuws/actueel/wiskundecolloquia