4–5
December
2009
Humboldt–University,
Berlin, Campus
Adlershof
Goals and
Topics
The physical and mathematical understanding of real world as well as
simulation based virtual world phenomena needs support
by stochastically reduced low dimensional conceptual models. The modern
scientific approach to modelling consists of two components:
a) the derivation of a physically proper system of mathematical
equations and their further study by analytical and numerical methods;
b) model calibration, i.e. estimation of parameters of the model from
the real data in order to obtain predictions which can be used in
practice.
The scope of building the background of the workshop range from models
for glacial meta-stability to medicine relevant models of human walking
dynamics. Their mathematical backbone is non-linear stochastic
(partial) differential equations with external periodic or internal
feedback forcing. Their effective dynamics features random transitions
between meta-stable states whereas the stochastic analysis of these
dynamical systems focuses on asymptotic properties such as attractors,
bifurcations, hysteresis,
stochastic resonance, and Lyapunov stability.
The goal of the workshop is to bring together
international experts in mathematical physics, stochastic processes and
statistics working on stochastic modelling of climatic processes,
reaction-diffusion equations etc.