Numerical Analysis Groups
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Interests

• Dynamical low rank approximation
• Time integration in Quantum Dynamics
• Variational Gaussians
• Tree tensor networks

Preprints & Publications

• Gianluca Ceruti, Daniel Kressner, Dominik Sulz Low-Rank Tree Tensor Network Operators for Long-Range Pairwise Interactions, submitted.
• Luca Schmid, Dominik Sulz, Laurent Schmalen Fast and Robust Expectation Propagation MIMO Detection via Preconditioned Conjugated Gradient, , submitted.
• Dominik Sulz, Christian Lubich, Gianluca Ceruti, Igor Lesanovsky, Federico Carollo Numerical simulations of long-range open quantum many-body dynamics with tree tensor networks, , Phys. Rev. A 109, 022420
• Gianluca Ceruti, Christian Lubich, Dominik Sulz Rank-adaptive time integration of tree tensor networks, SIAM J. Numer. Anal. 61 (2023),194-222.

Miscellaneous

• Poster "Simulation of long-range quantum spin systems using tree tensor networks" presented at the Granada summer school September 2023.
• Poster "Rank-adaptive TTN integrator" presented at the Dobiacco summer school 2022.
• An Algorithm for Variational Multi-Configurational Gaussians, master thesis - May 2020.

Teaching

• WS 2024/2025: teaching assistant for Numerik (Prof. Lubich)
• WS 2024/2025: preparatory course Einführung in die Programmierung mit Matlab
• SS 2024: teaching assistant for Numerics of instationary differential equations (Prof. Lubich)
• WS 2023/2024: preparatory course Einführung in die Programmierung mit Matlab
• WS 2023/2024: teaching assistant for seminar Mathematik im Maschinellen Lernen (Prof. Lubich)
• WS 2023/2024: teaching assistant for Numerics of stationary differential equations (Prof. Lubich)
• SS 2023: teaching assistant for Algorithmen der Numerik (Prof. Lubich)
• WS 2022/2023: teaching assistant for Numerik (Prof. Lubich)
• SS 2022: teaching assistant for seminar Komplexe Beweise reeller Theoreme (Prof. Lubich)
• WS 2021/2022: teaching assistant for Numerik stationärer Differentialgleichungen (Prof. Lubich)
• SS 2021: teaching assistant for Algorithmen der Numerik (Prof. Lubich)
• WS 2020/2021: teaching assistant for Numerik (Prof. Lubich)
• WS 2019/2020: teaching assistant for Analysis 2 (Prof. Teufel)
• SS 2019: teaching assistant for Analysis 1 (Jun.Prof. Rau)
• WS 2018/2019: teaching assistant for Numerik (Prof. Lubich)