Prof. Dr. Roland Herzog

Group Leader

I joined Heidelberg University in April 2021 and established the group Scientific Computing and Optimization (SCOOP) at the Interdisciplinary Center for Scientific Computing (IWR).

You can find my CV here.

Research interests

My research interests include

  • optimal control of partial differential equations
  • large-scale optimization and its applications
  • numerical linear algebra
  • optimal experimental design
  • optimization on manifolds
  • numerical methods for partial differential equations

Recent teaching

Recent events organized

Currently supervising

  • M.Sc. Thesis of Johannes Wagner:
    Physics-Informed Neural Networks for Optimal Control Problems
    M.Sc. Mathematik, TU Chemnitz
    Supervision: Roland Herzog and Evelyn Herberg
  • B.Sc. Thesis of Nico Haaf:
    Optimal Control Problems with Measures
    B.Sc. Mathematik, Heidelberg University
    Supervision: Roland Herzog, Evelyn Herberg and Georg Müller
  • B.Sc. Thesis of Tomislav Popov:
    Generalized Convexity and Neatly Quasiconvex Functions
    B.Sc. Mathematik, Heidelberg University
    Supervision: Roland Herzog and Georg Müller
  • B.Sc. Thesis of Phil Neitzel:
    Iterative Solution of Markov Decision Processes
    B.Sc. Mathematik, Heidelberg University
    Supervision: Roland Herzog and Karina Koval

Latest publications

  • Andreas Naumann, Jens Saak, Stefan Sauerzapf, Julia Vettermann, Michael Beitelschmidt and Roland Herzog
    Advanced open source data formats for geometrically and physically coupled systems
    Proceedings of Asian Modelica Conference 2022, 2022
    doi:10.3384/ecp19381
    bibtex 
    @INPROCEEDINGS{NaumannSaakSauerzapfVettermannBeitelschmidtHerzog:2022:1,
  AUTHOR = {Naumann, Andreas and Saak, Jens and Sauerzapf, Stefan and Vettermann, Julia and Beitelschmidt, Michael and Herzog, Roland},
  PUBLISHER = {Linköping University Electronic Press},
  BOOKTITLE = {Proceedings of Asian Modelica Conference 2022},
  DATE = {2022-11},
  DOI = {10.3384/ecp19381},
  TITLE = {Advanced open source data formats for geometrically and physically coupled systems},
}
  • Ronny Bergmann, Roland Herzog, Julián Ortiz López and Anton Schiela
    First- and second-order analysis for optimization problems with manifold-valued constraints
    Journal of Optimization Theory and Applications, 2022
    arXiv:2110.04882 doi:10.1007/s10957-022-02107-x
    bibtex 
    @ARTICLE{BergmannHerzogOrtizLopezSchiela:2022:1,
  AUTHOR = {Bergmann, Ronny and Herzog, Roland and Ortiz López, Julián and Schiela, Anton},
  PUBLISHER = {Springer Science and Business Media LLC},
  DATE = {2022-09},
  DOI = {10.1007/s10957-022-02107-x},
  EPRINT = {2110.04882},
  EPRINTTYPE = {arXiv},
  JOURNALTITLE = {Journal of Optimization Theory and Applications},
  TITLE = {First- and second-order analysis for optimization problems with manifold-valued constraints},
}
  • Roland Herzog and Estefanía Loayza-Romero
    A manifold of planar triangular meshes with complete Riemannian metric
    Mathematics of Computation 92(339), p.1-50, 2022
    arXiv:2012.05624 doi:10.1090/mcom/3775
    bibtex 
    @ARTICLE{HerzogLoayzaRomero:2022:1,
  AUTHOR = {Herzog, Roland and Loayza-Romero, Estefanía},
  PUBLISHER = {American Mathematical Society (AMS)},
  DATE = {2022-09},
  DOI = {10.1090/mcom/3775},
  EPRINT = {2012.05624},
  EPRINTTYPE = {arXiv},
  JOURNALTITLE = {Mathematics of Computation},
  NUMBER = {339},
  PAGES = {1--50},
  TITLE = {A manifold of planar triangular meshes with complete Riemannian metric},
  VOLUME = {92},
}
  • Maurício Silva Louzeiro, Ronny Bergmann and Roland Herzog
    Fenchel duality and a separation theorem on Hadamard manifolds
    SIAM Journal on Optimization 32(2), p.854-873, 2022
    arXiv:2102.11155 doi:10.1137/21m1400699
    bibtex 
    @ARTICLE{SilvaLouzeiroBergmannHerzog:2022:1,
  AUTHOR = {Silva Louzeiro, Maurício and Bergmann, Ronny and Herzog, Roland},
  PUBLISHER = {Society for Industrial \& Applied Mathematics (SIAM)},
  DATE = {2022-05},
  DOI = {10.1137/21m1400699},
  EPRINT = {2102.11155},
  EPRINTTYPE = {arXiv},
  JOURNALTITLE = {SIAM Journal on Optimization},
  NUMBER = {2},
  PAGES = {854--873},
  TITLE = {Fenchel duality and a separation theorem on Hadamard manifolds},
  VOLUME = {32},
}
  • Roland Herzog, Matthias Heinkenschloss, Dante Kalise, Georg Stadler and Emmanuel Trélat
    Optimization and Control for Partial Differential Equations
    2022
    doi:10.1515/9783110695984
    bibtex 
    @COLLECTION{HerzogHeinkenschlossKaliseStadlerTrelat:2022:1,
  EDITOR = {Herzog, Roland and Heinkenschloss, Matthias and Kalise, Dante and Stadler, Georg and Trélat, Emmanuel},
  PUBLISHER = {De Gruyter},
  DATE = {2022},
  DOI = {10.1515/9783110695984},
  SERIES = {Radon Series on Computational and Applied Mathematics},
  TITLE = {Optimization and Control for Partial Differential Equations},
  VOLUME = {29},
}