Dr. Jan Bartsch

In November 2021, I completed my PhD under Prof. Alfio Borzi at the University of Würzburg.
I also completed my bachelor's and master's degree there.
Since 2021, I have been a research assistant working with Prof. Volkwein.

This postdoc position is supported by the German Research Foundation DFG project SFB 1432 (Project Title: Fluctuations and Nonlinearities in Classical and Quantum Matter beyond Equilibrium).

Also feel free to check out our job offers.

Research Topics:

• Optimal control of partial differential equations
• Monte Carlo methods for solving kinetic models
• Numerics of hyperbolic differential equations
• Stochastic differential equations

Programming languages and Software used:

• C/C++
• Python
• Matlab
• Java SE/EE
• ParaView

Recently published preprints and submitted articles:

• Reconstruction of unknown nonlinear operators in semilinear elliptic models using optimal inputs
  J. Bartsch, S. Buchwald, G. Ciaramella and S. Volkwein
  arXiv, 2024.

Reviewed publications:

• Adjoint-based calibration of nonlinear stochastic differential equations
  J. Bartsch, R. Denk and S. Volkwein
  Applied Mathematics & Optimization, 2024
  doi: 10.1007/s00245-024-10181-y
• Controlling a Vlasov–Poisson plasma by a particle-in-cell method based on a Monte Carlo framework
  J. Bartsch, P. Knopf, S. Scheurer, J. Weber
  SIAM Journal on Control and Optimization, 2024
  doi: 10.1137/23M1563852
  pre-print
• On the stabilization of a kinetic model by feedback-like control fields in a Monte Carlo framework
  J. Bartsch, A. Borzi
  Kinetic and Related Models, 2024
  doi: 10.3934/krm.2024005
  pre-print
• A numerical investigation of Brockett’s ensemble optimal control problems
  J. Bartsch, A. Borzì, F. Fanelli, S. Roy
  Numerische Mathematik, 2021.
• MOCOKI: A Monte Carlo approach for optimal control in the force of a linear kinetic mode
  J. Bartsch, A. Borzì
  Computer Physics Communications, Volume 266, 2021.
• Optimal Control of the Keilson-Storer Master Equation in a Monte Carlo Framework
  J. Bartsch, G. Nastasi, A. Borzì
  Journal of Computational and Theoretical Transport, 2021.
• A theoretical investigation of Brockett’s ensemble optimal control problems
  J. Bartsch, A. Borzì, F. Fanelli, S. Roy
  Calculus of Variations and Partial Differential Equations, 2019.

Teaching (in Konstanz):

• Summer Term 2023: Assistent for "Computer Application in Mathematics" of Dr. Frei
• Winter Term 2022/23: Assistent for Optimazition 2 by Jun.-Prof. Dr. Behzad Azmi.
• Summer Term 2022: Assistent for Optimazition 1 by Jun.-Prof. Dr. Behzad Azmi.

Teaching (in Würzburg):

• Summer Term 2021:  Assistant for Ordinary Differential Equations (for primary/middle/secondary school student teachers) by Prof. Werner.
• Winter Term 20/21: Assistant for Ordinary Differential Equations by Prof. Borzi.
• Summer Term 2020: Assistant for Mathematics 1+2 for physicists and engineers by Dr. Greiner.
• Summer Term 2019: Assistant for Mathematics 1+2 for physicists and engineers by Dr. Greiner.