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Institution

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Eberhard Karls Universität Tübingen
Fachbereich Mathematik
Arbeitsbereich Numerische Mathematik

Address Auf der Morgenstelle 10
72076 Tübingen
Deutschland

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72076 Tübingen

Projects

Priority Programmes
- Completed projects
  - consistent finite elements for otimal control problems in computational fluid dynamics
    (Applicants Braack, Malte ; Prohl, Andreas )
  - Numerical methods in quantum dynamics
    (Applicant Lubich, Christian )
  - Numerische Verfahren für Probleme mit mehrfachen Zeitskalen
    (Applicant Lubich, Christian )
Heisenberg Fellowships
- Completed projects
  - Mathematik
    (Applicant Prohl, Andreas )
Research Grants
- Completed projects
Collaborative Research Centres
- Current projects
  - Dynamical low-rank approximation for the simulation of radiation heat waves
    (Project Heads Frank, Martin ; Lubich, Christian )
  - Numerical methods for highly oscillatory problems
    (Project Heads Hochbruck, Marlis ; Jahnke, Tobias ; Lubich, Christian )
  - Numerical methods for wave problems with nontrivial boundary conditions and nonlocal material laws
    (Project Heads Hochbruck, Marlis ; Lubich, Christian )
- Completed projects
  - Diskretisierung Quantenmechanischer MehrkörperProbleme
    (Project Heads Lubich, Christian ; Ruder, Hanns ; Wunner, Günter ; Yserentant, Harry )
  - Zeitintegrationsverfahren
    (Project Head Lubich, Christian )
CRC/Transregios
- Current projects
  - Finite-Size Criteria for Spectral Gaps in Quantum Lattice Systems
    (Project Heads Lemm, Marius ; Warzel, Simone )
  - Low-Energy States and Spectra of Quantum Hall Systems
    (Project Heads Lemm, Marius ; Warzel, Simone )
  - Numerical Gaussian-Based and Tensor-Network Methods in Quantum Dynamics
    (Project Heads Lasser, Caroline ; Lubich, Christian )
- Completed projects
  - Discretization of geometric functionals
    (Project Heads Dziuk, Gerhard ; Pozzi, Ph.D., Paola ; Prohl, Andreas )
  - Dynamics of free discontinuity problems from image processing
    (Project Heads Prohl, Andreas ; Schätzle, Reiner )
  - Dynamics on and of surfaces
    (Project Heads Dedner, Andreas ; Dziuk, Gerhard ; Kröner, Dietmar ; Lubich, Christian )
  - Effective Schrödinger dynamics on submanifolds
    (Project Heads Lubich, Christian ; Teufel, Stefan )
  - Numerical Methods for General Relativity
    (Project Heads Brügmann, Bernd ; Lubich, Christian ; Zumbusch, Gerhard )
Research Units
- Current projects
  - Absorbing state phase transitions in long-range interacting quantum spin systems
    (Applicants Lesanovsky, Igor ; Lubich, Christian )
  - FOR 5413: Long-range interacting Quantum Spin systems out of equilibrium: Experiment, Theory and Mathematics
    (Spokesperson Lesanovsky, Igor )
Research Training Groups
- Completed projects
  - GRK 1838: Spectral Theory and Dynamics of Quantum Systems
    (Spokesperson Griesemer, Marcel )

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