Model reduction across disciplines

Model reduction across disciplines

19-22 of August 2014, University of Leicester, UK

This conference was dedicated to the 60th birthday of Alexander Gorban

Model reduction is an important part of mathematical modelling and data analysis with very wide areas of applications. In many disciplines, various methods of dimensionality reduction are invented. The main goal of the conference is to facilitate interdisciplinary discussion of the model reduction and coarse-graining approaches in order to reveal their general mathematical nature. Extraction of the general mathematical ideas and problems behind the particular methods of model reduction should be seminal both for applied disciplines and for mathematics. We hope that the conference will give rise to new applied methods and to new mathematical problems and ideas.

To organise this discussion we select several key directions and invite prominent experts working in these directions. Model reduction on the way from the Boltzmann kinetics to continuum mechanics is one of the main parts of the 6th Hilbert problem. During the last decades essential progress in this problem was achieved and, at the same time, the main mathematical difficulties of the further solution were described more clearly. Model reduction is crucial for mathematical biology, bioinformatics and systems biology. Chemical engineering and material science cannot be developed without model reduction. Special methods elaborated for model reduction in nonlinear control theory and practice have solid mathematical backgrounds and may be useful in many other areas of applications from chemical engineering to industry. Brain study and neural networks provide new ideas methods for model reduction as well as a rich area of.

General mathematical methods and ideas for model reduction come from dynamical, nonlinear Galerkin approximations, computational singular perturbation theory, manifold learning theory and visualization techniques, computational mathematics, and stochastic analysis. New areas of the complexity theory and tropical mathematics provide the promising tools for model reduction.

The list of speakers and talks

The programme (and presentations)

Industrial Workshop and Model Reduction for Metallurgy

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University of Leicester
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Leicester LE1 7RH
United Kingdom

Tel.: +44 (0)116 229 7407

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