Model Reduction for hyperbolic Equations

Abstract

The Reduced Order Method (ROM) allows us to provide fast and reliable approximations for parametric PDEs, at least in the case where the Kolmogorov thickness of the solution set is small under parameter variation. The essential idea is to represent the solutions of the equations by a linear combination of some solutions which are well-chosen from some parameters, and which are computed once for all. This presentation starts with some classical notions of ROM and apply them to 2-3 concrete examples.

卢 柳 䃅

Postdoctoral Fellow in Applied Mathematics

My research interests include Numerical Analysis, Mathematical Biology, Scientific Computing, Optimization and Control.