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preprints

  • J. A. Carrillo, C. Totzeck, U. Vaes (2021) Consensus-based Optimization and Ensemble Kalman Inversion for Global Optimization Problems with Constraints
  • A. Clevenhaus, C. Totzeck, M. Ehrhardt (2021) A gradient descent algorihm for the Heston model
  • S. Göttlich, C. Totzeck (2021) Parameter calibration with Consensus-based Optimization for interaction dynamics driven by neural networks
  • C. Totzeck (2021) Trends in consensus-based optimization
  • J. Weißen, S. Göttlich, C. Totzeck: Space mapping-based optimization with the macroscopic limit of interacting particle systems, accepted for publication in Optimization and Engineering, 2021.

articles in peer-reviewed journals

  • Parameter calibration with stochastic gradient descent for interacting particle systems driven by neural networks
    S. Göttlich, C. Totzeck
    Mathematics of Control, Signals, and Systems, published online, 2021.
  • Mean-field optimal control for biological pattern formation
    M. Burger, L. M. Kreusser, C. Totzeck
    ESAIM COCV 27 (40), 2021.
  • Mean-field optimal control and optimality conditions in the space of probability measures
    M. Burger, R. Pinnau, C. Totzeck, O. Tse
    SIAM Journal of Control and Optimization 59 (2), pp. 977-1006, 2021.
  • An anisotropic interaction model with collision avoidance
    C. Totzeck
    Kinetic and Related Models 13(6), pp. 1219-1242, 2020.
  • Parameter identification in uncertain scalar conservation laws discretized with the discontinuous stochastic Galerkin Scheme
    L. Schlachter, C. Totzeck
    Communications in Computational Physics 28(4), pp. 1585-1608, 2020.
  • Consensus-Based Global Optimization with Personal Best
    C. Totzeck and M.-T. Wolfram
    Mathematical Biosciences and Engineering 17(5): pp. 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, 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), pp. 183-204, 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.

Copyright by Claudia Totzeck. All rights reserved.