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The role of error control and adaptivity in numerical computation

Presented by: 
R Rannacher [Heidelberg]
Monday 20th January 2003 - 14:00 to 15:00
INI Seminar Room 1
Session Title: 
Mathematical Challenges in Scientific and Engineering Computation
Assessing accuracy in the numerical simulation of complex mathematical models is one of the most natural but also most challanging problems of numerical analysis. However, besides error control the aspect of dimension reduction in the computation is gaining importance as the complexity of models is growing faster than the capacity of computers. During the last decade new approaches, largely based on mathematical grounds, have been developed for the automatic, i.e. a posteriori, adaptation of model complexity and discretization for various kinds of problems. This talk will survey some of these developments including examples from applications in Fluid Dynamics, Astrophysics and Chemistry.
University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons