DE | EN
Home
About Us
Overview
Facts and Figures
Organization
Scientists
Contact
Approach
Situations offered
Research
Overview
Application Fields
Projects
Publications
Scientists
Preprints
Institutional Cooperation
Archiv 02-14
Transfer
Overview
Industry
References
MODAL-AG
Spin Offs
Software
Patents
Schools
Overview
MathInside
Matheathlon
Matheon-Kalender
What'sMath
Training for Teachers
Summer Schools
Events
Press
Overview
Releases
News
Overview
Matheon Head
Number of the week
News 2002 - 2014
Activities
Overview
Workshops
15 Years Matheon
Media
Overview
Photos
Videos
Audios
Booklets
Books
News from around the world

Dr. Ludwig Gauckler

gauckler@math.fu-berlin.de


Projects as a project leader

  • CH-AP6

    Numerische Analysis Hamiltonscher partieller Differentialgleichungen und hochdimensionaler Probleme

    Dr. Ludwig Gauckler

    Project heads: Dr. Ludwig Gauckler
    Project members: -
    Duration: 01.06.2014 - 31.05.2016
    Status: completed
    Located at: Technische Universität Berlin

    Description

    Numerical discretizations of Hamiltonian partial differential equations and differential equations in high dimensions shall be analysed in the project. On the one hand, qualitative properties of numerical methods for the discretization in time such as splitting and Runge-Kutta methods will be investigated. In particular, we will pursue the question if and on which time intervals a numerical method is able to reproduce the stability of waves, which is studied in detail in the mathematical analysis of the equations. On the other hand, the analysis of approximations in high spatial dimensions will be the second key activity in the project. Approximations on tensor manifolds shall be analysed with respect to their approximation properties, but also their long-time behaviour. Such approximations are used successfully in quantum dynamics in the case of the high dimensional linear Schrödinger equation. In addition, the convergence of numerical methods for the chemical master equation, an important equation in biology and chemistry, will be studied on the basis of recent regularity results.

    http://www.tu-berlin.de/?id=149224