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Advanced Numerical Techniques for Uncertainty Quantification in Engineering and Life Science Problems (NUMQUES)

Welcome to the NUMQUES project portal

THE NUMQUES PROJECT HAS ENDED, THEREFORE THIS SITE IS NO LONGER MAINTAINED. THANKS FOR VISITING.

FOR MORE RECENT INFORMATION, PUBLICATIONS AND SOFTWARE, PLEASE VISIT  http://csqi.epfl.ch/

 

The use of mathematical models and the corresponding computational methods has been constantly increasing in the last decades  as tools to predict the behavior of complex physical systems. This is due on the one hand to the fast growing power of modern computers and, on the other hand, to the great progress in advanced numerical techniques and parallel algorithms.

 
In the last years, issues concerning the reliability of computer simulations have gained a great attention. Traditionally the focus has been mainly in the analysis  and estimation of the errors introduced in the discretization process, when going from the mathematical model to the computer code. Yet, the reliability of the outcome of computer codes is often greatly affected by the uncertainty in the parameters of the underlying mathematical
model, which may be due to an intrinsic variability of the physical system (aleatory uncertainty), or to a lack of knowledge (epistemic uncertainty).

We foresee that the new challenge that Computational Engineering and Science will face in the next years is the development of proper techniques to include and quantify the uncertainties, which unavoidably affect all mathematical models describing complex physical systems.
 
This project focuses on the development of numerical techniques for uncertainty quantification in engineering and life science applications, described through systems of Partial Differential Equations with uncertain input data, including forcing terms, boundary or initial conditions, model coefficients, etc. Specifically, it addresses the case of input uncertainty described in terms of random fields and defined in high (or infinite) dimensional probability spaces.

Two specific applications will be addressed:

  1. the study of contaminant movement in groundwater flows with the goal of determining capture zones for wells' protection;

  2. the study of the bio-electrical activity of the heart, with the goal of designing optimal and robust pacing locations.

  

 

NUMQUES is a FIRB-IDEAS project funded by the Italian Ministry of Education   and related to the ERC IDEAS Starting Grants 2007 call.

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