Dr. Claudia Totzeck

Dr. Claudia Totzeck

Room C 310
Tel.: +49 621 181 2427
E-Mail: totzeck(at)uni-mannheim.de

Research Interests

(Optimal-)Control with PDEs

  • asymptotic limits and Numerics
  • interacting partikelsystems
  • model reduction
  • space mapping

Global Optimisation, in particlular „Consensus-Based global Optimisation“

  • swarm intelligence & consensus formation
  • convergence analysis

Short CV

  • since 05/2020: Margarete-von-Wrangell Fellow, University of Mannheim
  • 10/2016: Dr. rer. nat, TU Kaiserslautern
  • 10/2012 - 10/2016: Doctoral studies, TU Kaiserslautern
  • 10/2012 Master: ‘Mathematics International’, TU Kaiserslautern
  • 04/2010 - 10/2012: Master studies, TU Kaiserslautern
  • 10/2009: Bachelor Mathematik, JLU Gießen
  • 10/2006 - 10/2009: Bachelor studies, JLU Gießen
  • 06/2006: Abitur, Weidigschule Butzbach, Hessen

        Studies abroad at: Universidad de Cantabria / Spain, NUS Singapore / Singapore, Imperial College London / GB

        Publications

        Preprints

        Articles in peer-reviewed journals

        • An anisotropic interaction model with collision avoidance
          C. Totzeck, 2020. Accepted for publication in Kinetic and Related Models
        • Parameter identification in uncertain scalar conservation laws discretized with the discontinuous stochastic Galerkin Scheme
          L. Schlachter, C. Totzeck, 2020. Accepted for publication in Communications in Computational Physics
        • Consensus-Based Global Optimization with Personal Best
          C. Totzeck and M.-T. Wolfram Mathematical Biosciences and Engineering 17(5): 6026-6044, 2020.
        • Space mapping-based receding horizon control for stochastic interacting particle systems: dogs herding sheep, R. Pinnau, C. Totzeck, Journal of Mathematics in Industry 10 (11), 2020. 
        • Instantaneous control of interacting particle systems in the mean-field limit, M. Burger, R. Pinnau, C. Totzeck, O. Tse, A. Roth, Journal of Computational Physics 405, pp. 109181, 2020. 
        • An analytical framework for a consensus-based global optimization method, J. A. Carrillo, Y.-P. Choi, C. Totzeck, O. Tse, Mathematical Models and Methods in Applied Sciences 28 (06), pp. 1037-1066, 2018.
        • A consensus-based model for global optimization and its mean-field limit, R. Pinnau, C. Totzeck, O. Tse, S. Martin, Mathematical Models and Methods in Applied Sciences 27 (1), 2017. 
        • The quasi-neutral limit in optimal semiconductor design, R. Pinnau, C. Totzeck, O. Tse, SIAM Journal of Control and Optimization 55 (4), pp. 2603-2635, 2017. 

        Articles in Conference Proceedings

        • Optimization Problems for Interacting Particle Systems and Corresponding Mean-field limits, R. Pinnau, C. Totzeck, In: Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics, (GAMM), vol 19, issue 1, 2019. 
        • Optimal Control and Asymptotic Analysis of the Cattaneo Equation, S. Blauth, M. Andres, R. Pinnau, C. Totzeck, In: Special Issue: 90th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), vol 19, issue 1, 2019. 
        • Interacting Particles and Optimization, R. Pinnau, C. Totzeck, In: Special Issue: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), vol 18, issue 1, 2018.
        • A Numerical Comparison of Consensus-Based Global Optimization to other Particle-based Global Optimization Schemes, C. Totzeck, R. Pinnau, S. Blauth, S. Schotthöfer, In: Special Issue: 89th Annual Meeting of the International Association of Applied Mathematics and Mechanics (GAMM), vol 18, issue 1, 2018. 
        • A mean-field evacuation simulation, C. Totzeck, In: Farangó I. et al. (eds) Progress in Industrial Mathematics at ECMI 2018, The European Consortium for Mathematics in Industry, vol 30 Springer, 2019. 
        • Consensus-Based Global Optimization, C. Totzeck, In: Quintela P. et al. (eds) Progress in Industrial Mathematics at ECMI 2016, The European Consortium for Mathematics in Industry, vol 26 Springer, 2017. 

        Theses

        • Asymptotic Analysis of Optimal Control Problems and Global Optimization, Doktorarbeit TU Kaiserslautern, Verlag Dr. Hut, München, 2017.
        • Model Order Reduction and Fluid-Structure-Interaction, Master­arbeit, TU Kaiserslautern, 2012. 
        • Das N-Körper-Problem, Bachelor­arbeit, JLU Gießen, 2009.