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Teaching

→ RUB-Courses in Numerical Analysis for Bachelor and Master Students in Mathematics

    Permanent:
    • Supervision of Bachelor's and Master's Theses...
    • Individual Reading Courses for Master Students...
      ... on various topics in theoretical numerics and applied analysis → Arrange an appointment!
    Current:
    • SS 2022: Vorlesung - Hochdimensionale Numerik und Diskrepanz (Moodle course → 150260-SoSe22, Lecture - Highdimensional Numerics and Discrepancy Theory, 4+2h)
    • SS 2022: Oberseminar Numerik (Research Seminar Numerical Analysis, 2h, with Prof. Dr. Henning, Prof. Dr. Kormann)
    Previous:
    • WS 2021/'22: Vorlesung - Deep Learning (Moodle course → 150332-WiSe21/22, Service Lecture - Master Class IT Security, eng!, 4+2h, with Prof. Dr. Fischer)
    • WS 2021/'22: Vorlesung - Interpolationstheorie (Moodle course → 150291-WiSe21/22, Lecture - Interpolation Theory, 4+2h)
    • WS 2021/'22: Seminar (Reading Course) - Modern Mathematics of Deep Learning (Moodle course → 150564-WiSe21/22, 2h, with Prof. Dr. Fischer)
    • WS 2021/'22: Oberseminar Numerik (Research Seminar Numerical Analysis, 2h, with Prof. Dr. Henning)
    • SS 2021: Vorlesung - Numerik II: Partielle Differentialgleichungen (Moodle course → 150268-SoSe21, Lecture - Numerics of PDEs, 4+2h)
    • SS 2021: Vorlesung - Numerical Methods and Stochastics (Moodle course → 126510-SoSe21, Service Lecture - Master Class Computational Engineering, Numerics part, eng!)
    • SS 2021: Oberseminar Numerik (Research Seminar Numerical Analysis, 2h, with Prof. Dr. Henning)
    • WS 2020/'21: Vorlesung - Numerik I: Gewöhnliche Differentialgleichungen (Moodle course → 150266-WiSe20/21, Lecture - Numerics of ODEs, 4+2h)
    • WS 2020/'21: Vorlesung - Adaptive Finite Element Methods (Moodle course → 127507-WiSe20/21, Service Lecture - Master Class Computational Engineering, eng!)
    • WS 2020/'21: Seminar zur Numerik: Iterative Methoden (Moodle course → 150516-WiSe20/21, Seminar Numerics, 2h)
    • WS 2020/'21: Oberseminar Numerik (Research Seminar Numerical Analysis, 2h, with Prof. Dr. Henning, Prof. Dr. Verfürth)
    • SS 2020: Vorlesung - Einführung in die Numerik (Moodle course → 150212-SoSe20, Lecture - Numerics, 4+2h)
      Starting point of the (german!) four-course-cycle on numerical analysis at RUB (see → overview for details)
    • SS 2020: Vorlesung - Numerik II: Partielle Differentialgleichungen (Moodle course → 150268-SoSe20, Lecture - Numerics of PDEs, 4+2h)
    • SS 2020: Oberseminar Numerik (Research Seminar Numerical Analysis, 2h, with Prof. Dr. Verfürth)
    • WS 2019/'20: Vorlesung - Numerik I: Gewöhnliche Differentialgleichungen (Moodle course → 150266-WiSe19/20 , Lecture - Numerics of ODEs, 4+2h)
    • WS 2019/'20: Seminar zur Numerik: Monte Carlo-Methoden (Moodle course → 150544-WiSe19/20, Seminar Numerics, 2h)
    • WS 2019/'20: Oberseminar Numerik (Research Seminar Numerical Analysis, 2h, with Prof. Dr. Verfürth)
    • SS 2019: Vorlesung - Numerical Methods and Stochastics (Moodle course → 126510-SoSe19, Service Lecture - Master Class Computational Engineering, Numerics part, eng!)
    • SS 2019: Oberseminar Numerik (Research Seminar Numerical Analysis, 2h, with Prof. Dr. Verfürth)
    • WS 2018/'19: Vorlesung - Klassische Approximationstheorie (Moodle course → 150279-WiSe18/19, Lecture - Classical Approximation Theory, 3+1h)
    • WS 2018/'19: Oberseminar Numerik (Research Seminar Numerical Analysis, 2h, with Prof. Dr. Verfürth)
    • SS 2018: Vorlesung - Numerik II: Partielle Differentialgleichungen (Moodle course → 150268-SoSe18, Lecture - Numerics of PDEs, 4+2h)
    • SS 2018: Oberseminar Numerik (Research Seminar Numerical Analysis, 2h, with Prof. Dr. Verfürth)
    • WS 2017/'18: Vorlesung - Numerik I: Gewöhnliche Differentialgleichungen (Moodle course → 150266-WiSe17/18, Lecture - Numerics of ODEs, 4+2h)
    • WS 2017/'18: Oberseminar Numerik (Research Seminar Numerical Analysis, 2h, with Prof. Dr. Verfürth)
    • SS 2017: Vorlesung - Einführung in die Numerik (Moodle course → 150212-SoSe17, Lecture - Numerics, 4+2h)
      Starting point of the (german!) four-course-cycle on numerical analysis at RUB (see → overview for details)
    • SS 2017: Oberseminar Numerik (Research Seminar Numerical Analysis, 2h, with Prof. Dr. Verfürth)
    • WS 2016/'17: Vorlesung - Analysis I (Lecture - Calculus, 4+2+2h, University of Siegen)
    • SS 2016: Vorlesung - Elemente der Stochastik (Lecture - Stochastics, 2+2h, University of Siegen)
    • SS 2016: Seminar (Reading Course) - Theoretische Numerik (Seminar Theoretical Numerics, 2h, University of Siegen)
    • SS 2016: Oberseminar Numerik (Research Seminar Numerics, 2h, Philipps-University Marburg, with Prof. Dr. Dahlke, Prof. Dr. Pfander)
    • WS 2015/'16: Vorlesung - Numerik III: Numerik partieller Differentialgleichungen (Lecture - Numerics III: Numerics for PDEs, 4+2h, University of Siegen)
    • WS 2015/'16: Vorlesung - Quasi-Monte Carlo Methoden & Diskrepanz (Lecture - Quasi-Monte Carlo & Discrepancy, 4+0h, University of Siegen)
    • WS 2015/'16: Oberseminar Numerik (Research Seminar Numerics, 2h, Philipps-University Marburg, with Prof. Dr. Dahlke)
    • SS 2015: Vorlesung - Approximationstheorie (Lecture - Approximation Theory, 3+1h, University of Siegen)
    • SS 2015: Vorlesung - Elemente der Stochastik (Lecture - Stochastics, 2+2h, University of Siegen)
    • SS 2015: Oberseminar Numerik (Research Seminar Numerics, 2h, Philipps-University Marburg, with Prof. Dr. Dahlke, Prof. Dr. Schmitt)
    • SS 2015: Seminar zur Numerik (Seminar Numerics, 2h, Philipps-University Marburg, with Prof. Dr. Dahlke, Prof. Dr. Schmitt)
    • WS 2014/'15: Oberseminar Numerik (Research Seminar Numerics, 2h, Philipps-University Marburg, with Prof. Dr. Dahlke, Prof. Dr. Schmitt)
    • WS 2014/'15: Seminar (Reading Course) - Inverse Probleme (Seminar - Inverse Problems, 2h, Philipps-University Marburg, with Prof. Dr. Dahlke, Prof. Dr. Holzmann, Prof. Dr. Schmitt)
    • SS 2014: Vorlesung - Reelle Interpolationstheorie (Lecture - Real Interpolation Theory, 2+0h, Philipps-University Marburg)
    • WS 2013/'14: Seminar zur Numerik (Seminar Numerics, 2h, Philipps-University Marburg, with Prof. Dr. Dahlke, Prof. Dr. Schmitt)
    • WS 2012/'13: Übung - Analysis III (Exercises - Analysis 3, Physics / Math / WiMa B.Sc, Friedrich-Schiller-University Jena, Prof. Dr. Schmeißer)
    • SS 2012: Oberseminar Theoretische Numerik (Research Seminar Theoretical Numerics, 2h, Friedrich-Schiller-University Jena, with Prof. Dr. Novak)
    • WS 2011/'12: 2 Übungen - Einführung in die Numerische Mathematik und das Wissenschaftliche Rechnen (Exercises - Numerics 1, Math B.Sc, Friedrich-Schiller-University Jena, Prof. Dr. Novak)
    • SS 2011: Übung - Analysis II (Exercises - Analysis 2, Physics B.Sc, Friedrich-Schiller-University Jena, PD Dr. Hinrichs)
    • WS 2010/'11: Übung - Analysis I (Exercises - Analysis 1, Physics B.Sc, Friedrich-Schiller-University Jena, PD Dr. Hinrichs)
    • SS 2010: Übung - Analysis II (Exercises - Analysis 2, Math B.Sc / WiMa B.Sc, Friedrich-Schiller-University, Prof. Dr. Carl)
    • WS 2009/'10: 2 Übungen - Analysis III (Exercises - Analysis 3, Lehramt Gymnasium, Friedrich-Schiller-University, Dr. Haberland)


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    Supervision

    Ph.D. students:

    • Janina Hübner - Adaptivity, regularity, and fast approximation of operator equations (May 2020 - today, RUB)
    • [Co-supervision] Christoph Hartmann - Adaptive wavelet methods for p-Poisson equations (2015-2018; with Prof. Dahlke; Marburg)

    Since WS 2017/'18 I supervise(d) the following master's / bacherlor's theses @ RUB:

    • Jennifer Müller - Tschebyscheff-Polynome und ihre Anwendung in der Numerik (B.Sc., September 2021)
    • Beyza Güney (geb. Caktas) - Approximationszahlen: Optimale Approximation multivariater periodischer Funktionen (M.Sc., March 2021)
    • Janina Hübner - Die Konstruktion von Daubechies-Wavelets (M.Sc., April 2020)
    • Lea Fritsche - Numerische Integration in hohen Dimensionen (B.A., May 2020)
    • Janis Steegborn - Randomisierte Algorithmen zur numerischen Integration (B.A., May 2020)
    • Johannes Pieperbeck - Fortsetzungsoperatoren in Funktionenräumen (M.Sc., May 2019)
    • René Tohang - Hilberträume mit reproduzierendem Kern (M.Sc., September 2018)
    • Hendrik Pasing - Diskrepanz zufälliger Punktmengen (M.Sc., September 2018)
    • Lukas Plätz - Adaptive Approximation mit Bäumen (B.Sc., June 2018)
    • Constantin Silas Heiderich - Interpolationsräume und Nichtlineare Approximation (B.Sc., February 2018)

    Moreover, since WS 2013/'14 I have co-supervised and/or reviewed 20 further master's / bachelor's / state examination theses on different topics in Analysis, Numerics and Stochastics.



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