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Photo of Konstantin Zerulla

Dr. Konstantin Zerulla

  • Karlsruher Institut für Technologie
    Fakultät für Mathematik
    Institut für Analysis
    Englerstraße 2
    76131 Karlsruhe

Publications

Zerulla, K.: A uniformly exponentially stable ADI scheme for Maxwell equations. J. Math. Anal. Appl. 492 (2020), 124442. DOI: 10.1016/j.jmaa.2020.124442

Preprints

Zerulla, K.: A uniformly exponentially stable ADI scheme for Maxwell equations. Preprint
Zerulla, K.: Interpolation of a regular subspace complementing the span of a radially singular function. Accepted by Studia Mathematica. Preprint

Thesis

Zerulla, K.: "ADI schemes for the time integration of Maxwell equations". PhD thesis, Karlsruhe Institute of Technology (KIT), December 2020. Link

Talks

  • November 2017: Stability preserving discrete approximations to damped wave equations, research seminar for functional analysis, Karlsruhe.
  • September 2018: A uniformly exponentially stable ADI scheme for Maxwell equations, NUMDIFF-15, Halle (Saale).
  • October 2018: A uniformly exponentially stable ADI scheme for Maxwell equations, CRC Workshop on time integration of PDEs, Annweiler.
  • February 2019: An ADI scheme with uniformly exponentially stable approximations for the Maxwell equations, TULKKA seminar, Ulm.
  • April 2019: Error analysis of an ADI scheme for linear Maxwell equations in heterogeneous media, iRTG Workshop, Karlsruhe.
  • July 2019: Error analysis of an ADI splitting scheme for Maxwell equations in heterogeneous media, SciCADE, Innsbruck.
  • August 2019: Time integration and regularity theory of Maxwell equations in heterogeneous media, WAVES, Vienna.
  • October 2019: Discrete Strichartz estimates, CRC Workshop on time integration of PDEs, Hirschegg.
  • April 2020: Error analysis for the time integration of Maxwell equations in heterogeneous media, CRC Seminar, Karlsruhe.
  • Oktober 2020: Error analysis of an ADI scheme for Maxwell equations in heterogeneous cuboids, CRC Workshop on time integration of PDEs, Bad Herrenalb.

I am a PostDoc in the workgroup for functional analysis and in the CRC 1173 within project A4. My current research focuses on the numerical time integration of Maxwell equations.
Further information about the CRC 1173 may be found on waves.kit.edu and about project A4 on waves.kit.edu/A4.php.