Kiel Nano, Surface and Interface Science (KiNSIS)

Generalized Convolution Quadrature (Prof. Fernández, Zürich)

18.07.2017 von 11:00 bis 13:00

Ludewig-Meyn-Str. 2. Raum Ü2/K (LMS2, R. Ü2/K), 24118 Kiel

Speaker: 

Prof. Dr. María López Fernández, Universität Zürich

Abstract:


ubich's Convolution Quadrature is nowadays a well
established method for the time discretization of retarded potentials
associated to wave equations. It has been very much developed in the
last decade, both from the theoretical and the algorithmic point of
view. However, despite its nice properties, the Convolution Quadrature
is strictly restricted to the use of fixed time steps. In this talk I
will present the "generalized Convolution Quadrature", a new family of
methods designed to overcome the strong restriction to uniform
temporal grids. I will show stability and convergence estimates and
numerical results illustrating the good behaviour of the new method. I
will also outline the current limitations in the implementation of the
generalized Convolution Quadrature and future possibilities of
development.

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