Numerical Analysis Groups
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Interests

• Dynamical low-rank approximation

Preprints & Publications

• Gianluca Ceruti, Unconventional contributions to dynamical low-rank approximation of tree tensor networks, PhD thesis, July 2021.
• Jonas Kusch, Lukas Einkemmer, Gianluca Ceruti, On the stability of robust dynamical low-rank approximations for hyperbolic problems, July 2021.
• Jonas Kusch, Gianluca Ceruti, Lukas Einkemmer, Martin Frank, Dynamical low-rank approximation for Burgers’ equation with uncertainty, May 2021.
• Gianluca Ceruti, Jonas Kusch, Christian Lubich, A rank-adaptive robust integrator for dynamical low-rank approximation, April 2021.
• Gianluca Ceruti, Christian Lubich, An unconventional robust integrator for dynamical low-rank approximation, BIT (2021), DOI:10.1007/s10543-021-00873-0.
• Gianluca Ceruti, Christian Lubich, Hanna Walach, Time integration of tree tensor networks, SIAM J. Numer. Anal., 59(1), 289–313.
• Gianluca Ceruti, Christian Lubich, Time integration of symmetric and anti-symmetric low-rank matrices and Tucker tensors, BIT 60 (2020), 591-614.

Projects

• SFB 1173 - Wave phenomena: analysis and numerics
• Graduiertenkolleg 1838: Spectral Theory and Dynamics of Quantum Systems