Lab Home | Phone | Search
Center for Nonlinear Studies  Center for Nonlinear Studies
 Colloquia Archive 
 Postdoc Seminars Archive 
 Quantum Lunch 
 CMS Colloquia 
 Q-Mat Seminars 
 Q-Mat Seminars Archive 
 Kac Lectures 
 Dist. Quant. Lecture 
 Ulam Scholar 
 Summer Research 
 Past Visitors 
 History of CNLS 
 Maps, Directions 
 CNLS Office 
Thursday, May 09, 2019
2:00 PM - 3:00 PM
CNLS Conference Room (TA-3, Bldg 1690)

Postdoc Seminar

The Power of Moments and Positive Polynomials

Tillmann Weisser

Nonlinearities are the source of difficulty in many mathematical formulations of problems from all natural science. In order to simulate such problems computationally the nonlinearities are often neglected even if this implies a less accurate representation of the natural phenomena.One of my research lines is to use the theory of measures and moments to lift nonlinear problems in a space, where they become linear without anyinformation loss. Under certain conditions the lifted problems are computationally tractable through characterizations of positive polynomials (which is my second line of research). In this talk I am going to present the framework of the Generalized Moment Problem and how to approximate solutions with Positive Polynomials. In the second part I will illustrate the diversity of thisstrategy on examples from Global Optimization, approximation of Chance Constraints and numerically solving Hyperbolic Conservation Laws.

Host: David Métivier