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Adaptivity in Numerical Methods for ODEs and PDEs

Presented by: 
Jens Lang Technische Universität Darmstadt
Thursday 1st March 2018 - 14:00 to 15:00
INI Seminar Room 2
In this talk I will emphasize on the use of adaptive strategies in numerical algorithms to solve systems of ordinary and partial differential equations more efficiently and reliably. After a brief introduction to local and global error control for time integrators general approaches to combine adaptivity in space and time are discussed. Finally, I will speak about recent developments in using adaptive multilevel strategies for PDE-constrained optimization and uncertainty quantification. Throughout my talk I will present numerical results for academic as well as real-life applications including chemical reaction-diffusion systems, regional hyperthermia, electro-cardiology, magneto-quasistatics, glass cooling and complex turbulent flows.

University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons