Workshop on Numerics in Dynamical Systems April 23-25, 2009, TKK Helsinki, Finland Thursday, April 23 10.00 Registration and coffee 10.30 Opening 10.40-12.00 Chair: Olavi Nevanlinna Christian Lubich, University of Tübingen Modulated Fourier expansions for weakly nonlinear wave equations Sebastian Reich,University of Potsdam Hybrid Monte Carlo and Metropolis adjusted time-stepping methods for classical mechanics subject to fluctuation-dissipation terms. 12.00 Lunch 13.20-14.40 Chair: Marlis Hochbruk Willy Govaerts, University of Gent Basic models for cell cycle controls from a dynamic viewpoint Erik Van Vleck, University of Kansas Exponential dichotomy, matrix decompositions, and Newton's method 14.40 Coffee 15.20-16.00 Chair: Chus Sanz-Serna Gennady Leonov, St Petersburg University Hidden oscillations Marianna Khanamiryan, University of Cambridge Quadrature methods for highly oscillatory dynamical systems 17.00-19.00 Get together Friday, April 24 9.10-10.30 Chair: Luca Dieci Ben Leimkuhler, University of Edinburgh Controlled variable molecular dynamics Anders Szepessy, KTH Stockholm Accuracy of molecular dynamics simulations 10.30 Coffee 11.00-12.20 Chair: Bernd Krauskopf Chus Sanz-Serna, Universidad de Valladolid Computational experiences with multiscale methods for problems with fast oscillations Marlis Hochbruck, University of Düsseldorf Regularization of nonlinear inverse problems by certain time integration schemes 12.20 Lunch 13.30-14.50 Chair: Christian Lubich Alexander Ostermann, University of Innsbruck Convergence analysis of splitting methods Reinout Quispel, La Trobe University Geometric numerical integration of differential equations 14.50 Coffee 15.20-16.40 Chair: Gennady Leonov Etienne Emmrich, Technische Universität Berlin Stability and convergence of time discretisation methods for nonlinear evolution problems Philip Aston, University of Surrey Integration methods using vector norms for computing Lyapunov exponents 17.30 Sauna w. refreshments 19.00-23.00 Dinner (casual, buffet) Saturday, April 25 9.10-10.30 Chair: Reinout Quispel Dimitri Breda, Università di Udine Numerical computation of Lyapunov exponents for delay differential equations Bernd Krauskopf, University of Bristol Computing the symbolic dynamics of heteroclinic orbits of the Lorenz system 10.30 Coffee 11.00-12.20 Chair: Anders Szepessy Sergei Pilyugin, St Petersburg University Approximate trajectories for set-valued mappings and differential inclusions Nikolay Kuznetsov, St Petersburg University Period doubling bifurcation in discrete phase-locked loop 12.20 Lunch at Dipoli 13.30-14.50 Chair: Ben Leimkuhler Olavi Nevanlinna, TKK Helsinki Computing the spectrum and representing the resolvent Luca Dieci, Georgia Tech Sliding modes in Filippov systems 14.50 Closing