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Dr. Bernd Brumm Dipl.-Math., M.A. Mathematisches Institut Universität Tübingen Auf der Morgenstelle 10 D-72076 Tübingen

Scientific employee (Wissenschaftlicher Angestellter), PhD student: Oct. 2011 - Jan. 2016

Interests

• Highly-oscillatory Hamiltonian systems
• Numerical methods in quantum dynamics
• Spectral methods

Preprints & Publications

• B.B., Daniel Weiss, Heterogeneous Multiscale Methods for Highly-Oscillatory Mechanical Systems with Solution-Dependent Frequencies, IMA J. Numer. Anal. 34 (2014), 55-82 (DOI:10.1093/imanum/drt010).
• B.B., A Fast Matrix-free Algorithm for Spectral Approximations to the Schrödinger Equation, SIAM J. Sci. Comput. 37 (2015), A2003-A2025 (DOI:10.1137/140981022).
• B.B., Emil Kieri, A matrix-free Legendre spectral method for initial boundary value problems, ETNA 45 (2016), 283-304.
• B.B., A fast matrix-free spectral method for the nonlinear Schrödinger equation, Jan. 2016.

PhD thesis

• B.B., A Fast Matrix-Free Algorithm for Spectral Approximations to High-Dimensional Partial Differential Equations, submitted Oct. 15, 2015. Day of oral examination: Jan. 13, 2016. Day of publication: Jan. 22, 2016. Published electronically via Universitätsbibliothek Tübingen: DOI:10.15496/publikation-9242.

Implementations

• B.B., C code for the fast algorithm as used in my PhD thesis, Oct. 2015.

Projects

• DFG Priority Program 1324: Extraction of quantifiable information from complex systems (member)
• DFG Research Training Group 1838: Spectral Theory and Dynamics of Quantum Systems (associated)

Teaching

• summer term 2014: teaching assistant (in charge of organization) for Numerik instationärer Differentialgleichungen (lecture, Prof. Lubich)
• winter term 2013/14: teaching assistant (in charge of organization) for Numerik stationärer Differentialgleichungen (lecture, Prof. Lubich)
• winter term 2012/13: teaching assistant for Numerik (lecture, Prof. Lubich)
• summer term 2012: assistant (in charge of organization) for Optimization algorithms on matrix manifolds (seminar, Prof. Lubich)
• summer term 2012: teaching assistant for Numerik für (Bio-)Informatiker (lecture, Dr. Weiß)
• summer term 2011: teaching assistant for Numerik II (lecture, Prof. Lubich)
• winter term 2010/11: teaching assistant for Numerik (lecture, Prof. Lubich)
• winter term 2008/09: assistant for Matlab exercises for Numerik (lecture, Prof. Lubich)
• winter term 2007/08: teaching assistant for Informatik I (lecture, Prof. Schilling, WSI)
• winter term 2005/06: teaching assistant for Griechisches Grammaticum (lecture, Dr. Beate Noack, Philologisches Seminar)