@inproceedings{7257,
  abstract     = {Solving inverse static initialization problems, in which the outputs of a process are prescribed, is often more numerically challenging than solving direct initialization problem, where inputs are fixed instead. This paper proposes the introduction of a new initialSimplified() operator in Modelica, which allows to solve inverse problems with the same reliability as direct problems, using an intuitive, straightforward Modelica formulation. The proposed solution can be trivially implemented in Modelica tools and will be 100% portable among them, once the new operator is standardized. The usefulness of the proposed approach is demonstrated on a conceptual thermal power generation plant model.},
  author       = {Casella, Francesco and Hannebohm, Philip and Pascali, Matteo Luigi De},
  booktitle    = {Proceedings of the Asian Modelica & FMI Conference Hangzhou, China, September 20-22, 2026},
  keywords     = {Modelica language, initialization, homotopy, convergence problems},
  location     = {Hangzhou, China},
  publisher    = {Linköping University Electronic Press},
  title        = {{Robust solution of inverse static problems in Modelica: the case for the initialSimplified() operator}},
  doi          = {10.3384/ecp22331},
  volume       = {223},
  year         = {2026},
}

@inproceedings{6449,
  author       = {Casella, Francesco and Bachmann, Bernhard and Abdelhak, Karim and Hannebohm, Philip and Van der Stelt, Teus},
  booktitle    = {Proceedings of the 16th International Modelica&FMI Conference, September 8 – 10, 2025, Lucerne University of Applied Sciences and Arts (HSLU)},
  publisher    = {Linköping University Electronic Press},
  title        = {{Diagnosing Newton’s Solver Convergence Failures in the Initialization of Modelica Models}},
  doi          = {10.3384/ecp218109},
  volume       = {218},
  year         = {2025},
}

@article{6445,
  author       = {Bachmann, Bernhard and Bonaventura, Luca and Casella, Francesco and Fernández-García, Soledad and Gómez-Mármol, Macarena and Hannebohm, Philip},
  issn         = {1573-7691},
  journal      = {Journal of Scientific Computing},
  number       = {1},
  publisher    = {Springer Science and Business Media LLC},
  title        = {{Self-Adjusting Multi-Rate Runge-Kutta Methods: Analysis and Efficient Implementation in An Open Source Framework}},
  doi          = {10.1007/s10915-025-03049-y},
  volume       = {105},
  year         = {2025},
}

@inproceedings{6359,
  author       = {Langenkamp, Linus and Hannebohm, Philip and Bachmann, Bernhard},
  booktitle    = {Proceedings of the 16th International Modelica&FMI Conference},
  editor       = {Zimmer, Dirk and Müller, Ulf Christian},
  keywords     = {Physics-enhanced Neural ODEs, Dynamic Optimization, Nonlinear Programming, Modelica, NeuralODEs, Universal Differential Equations},
  location     = {Luzern},
  pages        = {445 -- 457},
  publisher    = {Linköping University Electronic Press},
  title        = {{Efficient Training of Physics-enhanced Neural ODEs via Direct Collocation and Nonlinear Programming}},
  doi          = {10.3384/ecp218445},
  volume       = {218},
  year         = {2025},
}

@unpublished{6448,
  author       = {Brandt, Felix and Heuermann, Andreas and Hannebohm, Philip and Bachmann, Bernhard},
  booktitle    = {arXiv:2510.09317},
  title        = {{Residual-Informed Learning of Solutions to Algebraic Loops}},
  year         = {2025},
}

@inproceedings{6357,
  author       = {Hannebohm, Philip and Bachmann, Bernhard},
  booktitle    = {Proceedings of the 16th International Modelica&FMI Conference},
  editor       = {Zimmer, Dirk and Müller, Ulf Christian},
  keywords     = {Equation-based modelling, Multi-rate simulation, Structural analysis},
  location     = {Lucerne},
  pages        = {943–947},
  publisher    = {Linköping University Electronic Press},
  title        = {{Selective Evaluation of RHS during Multi-Rate Simulation}},
  doi          = {10.3384/ecp218943},
  volume       = {218},
  year         = {2025},
}

@inproceedings{4620,
  author       = {Heuermann, Andreas and Hannebohm, Philip and Schäfer, Matthias and Bachmann, Bernhard},
  location     = {Bielefeld},
  publisher    = {Unpublished},
  title        = {{Fehlerkontrollierte ML-Surrogate zur beschleunigten Simulation nichtlinearer Gleichungssysteme in Modelica}},
  doi          = {10.13140/RG.2.2.11838.70729},
  year         = {2023},
}

@inproceedings{4618,
  author       = {Heuermann, Andreas and Hannebohm, Philip and Schäfer, Matthias and Bachmann, Bernhard},
  booktitle    = {Proceedings of the 15th International Modelica Conference 2023, Aachen, October 9-11},
  editor       = {Müller, Dirk  and Monti, Antonello  and Benigni, Andrea },
  isbn         = {978-91-8075-505-4},
  issn         = {1650-3740},
  location     = {Aachen},
  pages        = {275--284},
  publisher    = {Linköping University Electronic Press},
  title        = {{Accelerating the simulation of equation-based models by replacing non-linear algebraic loops with error-controlled machine learning surrogates}},
  doi          = {10.3384/ecp204275},
  volume       = {204},
  year         = {2023},
}