Space and time discretisation methods for
◊ Nonlinear Schrödinger equations
◊ Nonlinear wave equations with damping
◊ Quasilinear and nonlinear equations of parabolic type
◊ Nonlinear evolution equations of first and second order in time
◊ LODIQUAS – Modeling and Numerical Simulation of Low Dimensional Quantum Systems. Agence national de la recherche (ANR), Blanc International II Programme. Project coordinators: N. Mauser (Austria), F. Castella (France). Austrian investigators: N. Mauser, E. Gornik, M. Thalhammer. Period: April 1, 2012 – March 30, 2015 (prolongation till December 2015).
◊ Numerical methods for nonlinear Schrödinger equations. Fonds zur Förderung der wissenschaftlichen Forschung (FWF). Period: October 1, 2009 – September 30, 2012 (prolongation till September 30, 2014).
◊ Diskretisierung nichtlinearer Evolutionsgleichungen zweiter Ordnung. Deutsche Forschungsgemeinschaft, Reisebeihilfen. Joint project with E. Emmrich (Technische Universität Berlin), 2009.
◊ Diskretisierung nichtlinearer Evolutionsgleichungen erster Ordnung. Deutsche Forschungsgemeinschaft, Reisebeihilfen. Joint project with E. Emmrich (Technische Universität Berlin), 2008.
◊ Analysis von Zeitdiskretisierungen nichtlinearer parabolischer Gleichungen. Deutsche Forschungsgemeinschaft, Reisebeihilfen. Joint project with E. Emmrich (Technische Universität Berlin), 2008.
◊ Diskretisierung partieller Differentialgleichungen. Charlotte-Bühler-Programm, Fonds zur Förderung der wissenschaftlichen Forschung (FWF), 24 months. Period: March 1 – September 30, 2005.
CIRM Marseille 2016 (with explanations)
AIMS Madrid 2014 (Commutator-free Magnus integrators)
AIMS Madrid 2014 (Westervelt equation)
Movie (Time integration of Gray-Scott equations by local error control)
Movie (Time integration of semi-classical nonlinear Schrödinger equation by local error control)
Movie (Gray-Scott equations) Movie (Faster)
Movie (Space-time-dependent term) Movie (Gray-Scott equations with additional space-time-dependent terms) Movie (Faster)
Movie (Gray-Scott equations with additional noise) Movie (Gray-Scott equations with additional noise) Movie (Gray-Scott equations with additional noise)
Movie (Schrödinger equation with space-time-dependent Hamiltonian, Non-smooth potential)
Movie (Time integration of GPE with rotation)
Movie (Groundstate computation and time evolution)
Movie (Semi-classical regime, Comparison of solution profiles)
Movie (Semi-classical regime, Solution profile for small parameter)
Movie (Semi-classical regime, Adaptive time integration)
Movie (Highly oscillatory equation, eps = 1)
Movie (Highly oscillatory equation, eps = 0.1)
Univ.-Prof. Dr. Mechthild Thalhammer | Leopold-Franzens Universität Innsbruck | Institut für Mathematik
Technikerstraße 13/7 | 6020 Innsbruck | Austria
Phone +43 (0)512 507 53874 | Fax +43 (0)512 507 53899
Email: Mechthild.Thalhammer@uibk.ac.at
© Mechthild Thalhammer | Photos by Gregor Thalhammer and Fotogrph | Design in the style of TEMPLATED