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preprints

  • R. Bailo, A. Barbaro, S. N. Gomes, K. Riedl, T. Roith, C. Totzeck, U. Vaes (2024) CBX: Python and Julia packages for
    consensus-based interacting particle methods
  • O. T. Doganay, K. Klamroth, B. Lang, M. Stiglmayr, C. Totzeck (2023) A new perspective on dynamic network flow problems via port-Hamiltonian systems
  • B. Jacob, C. Totzeck (2023) Port-Hamiltonian structure of interacting particle systems and its mean-field limit
  • M. Günther, B. Jacob, C. Totzeck (2023) Data-driven adjoint-based calibration of port-Hamiltonian systems in time domain
  • M. Günther, B. Jacob, C. Totzeck (2022) Structure-preserving identification of port-Hamiltonian systems - a sensitivity-based approach
  • A. Clevenhaus, C. Totzeck, M. Ehrhardt (2021) A gradient descent algorihm for the Heston model

articles in peer-reviewed journals

  • Consensus-based optimization for multi-objective problems: a multi-swarm approach
    K. Klamroth, M. Stiglmayr C. Totzeck
    Journal of Global Optimization, 2024.
  • Kinetic-based optimization enhanced by genetic dynamics
    G. Albi, F. Ferrarese, C. Totzeck
    Mathematical Models and Methods in Applied Sciences, 33 (14): 2905-2933, 2023.
  • Ensemble-Based Gradient Inference for Particle Methods in Optimization and Sampling
    C. Schillings, C. Totzeck, P. Wacker
    SIAM/ASA Journal on Uncertainty Quantification, 2023, 11 (3): 757-787.
  • Gradient-based parameter calibration of an anisotropic interaction model for pedestrian dynamics
    Zh. Turarov, C. Totzeck
    European Journal of Applied Mathematics, 2023, 1–22.
  • Asymptotic analysis for optimal control of the Cattaneo model
    S. Blauth, R. Pinnau, M. Andres, C. Totzeck
    Journal of Mathematical Analysis and Applications, 2023, 127375.
  • Multi-scale description of pedestrian collective dynamics with port-Hamiltonian systems
    A. Tordeux, C. Totzeck
    Networks and Heterogeneous Media, 2023, 18(2): 906-929.
  • Space mapping-based optimization with the macroscopic limit of interacting particle systems
    J. Weißen, S. Göttlich, C. Totzeck
    Optimization and Engineering, 2023, 24: 395–424.
  • Parameter calibration with stochastic gradient descent for interacting particle systems driven by neural networks
    S. Göttlich, C. Totzeck
    Mathematics of Control, Signals, and Systems, 2022,34: 185–214.
  • 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.

book chapters

  • Time-continuous microscopic pedestrian models: an overview
    R. Korbmacher, A. Nicolas, A. Tordeux, C. Totzeck
    in: Crowd Dynamics, Volume 4: Analytics and Human Factors in Crowd Modeling, 55-80, 2023.
  • Consensus-based Optimization and Ensemble Kalman Inversion for Global Optimization Problems with Constraints
    J. A. Carrillo, C. Totzeck and U. Vaes
    in: Modeling and Simulation for Collective Dynamics, Lecture Notes Series, Institute for Mathematical Sciences, NUS: Volume 40, 2023.
  • Trends in consensus-based optimization
    C. Totzeck
    in: Active Particles, Volume 3, Springer International Publishing, 2022.

articles in conference proceedings

  • Parameter calibration with Consensus-based Optimization for interaction dynamics driven by neural networks
    S. Göttlich, C. Totzeck
    In: Ehrhardt, M., Günther, M. (eds) Progress in Industrial Mathematics at ECMI 2021. ECMI 2021. Mathematics in Industry, vol 39. Springer, Cham, 2022.
  • 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.