The ERCOFTAC Association, is a global leader in the field of applied fluid dynamics. Through the guidance of its Knowledge Network Committee, is proud to announce a two day course on:

Mathematical Methods and Tools in Uncertainty Management and Quantification

Uncertainty quantification is a new paradigm in industrial analysis and design as it aims at taking into account the presence of numerous uncertainties affecting the behavior of physical systems. Dominating uncertainties can be either be operational (such as boundary conditions) and//or geometrical resulting from unknown properties, such as tip clearances of rotating fan blades or from manufacturing tolerances. Other uncertainties are related to models, such as turbulence or combustion should also be considered, or to numerical related errors. Whether bringing a new product from conception into production or operating complex plant and production processes , commercial success rests on careful management and control of risk in the face of many interacting uncertainties. Historically, chief engineers and project managers have estimated and managed risk using mostly human judgment founded upon years of experience and heritage. As the 21st century begins to unfold, the design and engineering of products as well as the control of plant and process are increasingly relying on computer models and simulation.

This era of virtual design and prototyping opens the opportunity to deal with uncertainty in a systematic formal way by which sensitivities to various uncertainties can be quantified and understood, and designs and processes optimized so as to be robust against such uncertainties.

After several successful Courses on the applications of UQ, ERCOFTAC decided, based on requests from many participants, to focus the present Course on the mathematical methodologies of UQ, enabling the participants to develop an in-depth understanding of the main methods such as: spectral, including polynomial chaos methods; methods of moments and Monte-Carlo methodologies.

The lectures will be given by worldwide recognised experts in these fields, who will cover the basics as well as representative applications. Lecturers

Olivier Le Ma€tre • Visiting Professor, Duke University Department of Mechanical Engineering and Materials Science, Durham, NC • Directeur de Recherche, CNRS Laboratoire d'Informatique pour la M‚canique et les Sciences de I'Ing‚nieur , Orsay, France

Gilbert Roge‚: Dassault Aviation, Paris, France

Mike Giles Professor of Scientific Computing at Oxford University Professorial Fellow in Mathematical Finance at St Hugh's College

Charles Hirsch Prof. Em. Vrije Universiteit Brussel, President, Numeca Int.