@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{6446,
  author       = {Abdelhak, Karim and Bachmann, Bernhard},
  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        = {{Constant Time Causalization using Resizable Arrays}},
  doi          = {10.3384/ecp218203},
  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@unpublished{6448,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{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},
}

@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{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},
}

@inproceedings{6361,
  author       = {Langenkamp, Linus and Bachmann, Bernhard},
  booktitle    = {Proceedings of the 16th International Modelica&FMI Conference},
  editor       = {Zimmer, Dirk and Müller, Ulf Christian},
  keywords     = {Dynamic Optimization, Direct Collocation, Adaptive Mesh Refinement, Nonlinear Programming},
  location     = {Luzern},
  pages        = {127 -- 138},
  publisher    = {Linköping University Electronic Press},
  title        = {{Enhancing Collocation-Based Dynamic Optimization through Adaptive Mesh Refinement}},
  doi          = {10.3384/ecp218127},
  volume       = {218},
  year         = {2025},
}

@techreport{4615,
  author       = {Bachmann, Bernhard and Bonaventura, Luca and Casella, Francesco and Fernández-García, Soledad and Gómez-Mármol, Macarena},
  title        = {{Multi-rate Runge-Kutta methods: stability analysis and applications}},
  year         = {2024},
}

@inproceedings{4617,
  author       = {Abdelhak, Karim and Casella, Francesco and Bachmann, Bernhard},
  booktitle    = {Proceedings of the 15th International Modelica Conference 2023, Aachen, October 9-11},
  isbn         = {978-91-8075-505-4},
  issn         = {1650-3740},
  location     = {Aachen},
  pages        = {177--188},
  publisher    = {Linköping University Electronic Press},
  title        = {{Pseudo Array Causalization}},
  doi          = {10.3384/ecp204177},
  volume       = {204},
  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},
}

@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},
}

@techreport{3321,
  author       = {Abdelhak, Karim and Bachmann, Bernhard and Derdau, Ralf and Hartmann, Andreas and Kruse, Hermann-Josef},
  issn         = {2196-6192},
  keywords     = {Entsorgungsproblem, Bionische Optimierung, Deterministische Heuristiken, Genetischer Algorithmus, Bienen-Algorithmus, Matlab},
  title        = {{DETERMINISTISCHE UND BIONISCHE HEURISTIKEN ZUR LÖSUNG VON ENTSORGUNGSPROBLEMEN - Am Beispiel des Laubharkproblems}},
  doi          = {10.57720/3321},
  volume       = {5},
  year         = {2023},
}

@article{1490,
  author       = {Casella, Francesco and Bachmann, Bernhard},
  issn         = {00963003},
  journal      = {Applied Mathematics and Computation},
  publisher    = {Elsevier BV},
  title        = {{On the choice of initial guesses for the Newton-Raphson algorithm}},
  doi          = {10.1016/j.amc.2021.125991},
  volume       = {398},
  year         = {2021},
}

@inproceedings{1521,
  author       = {Braun, Willi and Schroschk, Martin and Ruge, Vitalij and Heuermann, Andreas and Bachmann, Bernhard},
  booktitle    = {Proceedings of the American Modelica Conference 2020, Boulder, Colorado, USA, March 23-25, 2020},
  isbn         = {978-91-7929-900-2},
  location     = {Colorado, USA},
  pages        = {159--167},
  publisher    = {Linköping University Electronic Press},
  title        = {{Contributions to the Efficient and Parallel Jacobian Evaluation and its Application in OpenModelica}},
  doi          = {10.3384/ecp20169159},
  volume       = {169},
  year         = {2020},
}

@article{1491,
  author       = {Fritzson, Peter and Pop, Adrian and Abdelhak, Karim and Ashgar, Adeel and Bachmann, Bernhard and Braun, Willi and Bouskela, Daniel and Braun, Robert and Buffoni, Lena and Casella, Francesco and Castro, Rodrigo and Franke, Rüdiger and Fritzson, Dag and Gebremedhin, Mahder and Heuermann, Andreas and Lie, Bernt and Mengist, Alachew and Mikelsons, Lars and Moudgalya, Kannan and Ochel, Lennart and Palanisamy, Arunkumar and Ruge, Vitalij and Schamai, Wladimir and Sjölund, Martin and Thiele, Bernhard and Tinnerholm, John and Östlund, Per},
  issn         = {1890-1328},
  journal      = {Modeling, Identification and Control: A Norwegian Research Bulletin},
  number       = {4},
  pages        = {241--295},
  publisher    = {Norwegian Society of Automatic Control},
  title        = {{The OpenModelica Integrated Environment for Modeling, Simulation, and Model-Based Development}},
  doi          = {10.4173/mic.2020.4.1},
  volume       = {41},
  year         = {2020},
}

@inproceedings{1522,
  author       = {Fritzson, Peter and Pop, Adrian and Asghar, Adeel and Bachmann, Bernhard and Braun, Willi and Braun, Robert and Buffoni, Lena and Casella, Francesco and Castro, Rodrigo and Danós, Alejandro and Franke, Rüdiger and Gebremedhin, Mahder and Lie, Bernt and Mengist, Alachew and Moudgalya, Kannan and Ochel, Lennart and Palanisamy, Arunkumar and Schamai, Wladimir and Sjölund, Martin and Thiele, Bernhard and Waurich, Volker and Östlund, Per},
  booktitle    = {Proceedings of The American Modelica Conference 2018, October 9-10, Somberg Conference Center, Cambridge MA, USA},
  editor       = {Tiller, Michael  and Tummescheit, Hubertus  and Vanfretti, Luigi},
  isbn         = {978-91-7685-148-7},
  location     = {Massachusetts, USA},
  pages        = {206--219},
  publisher    = {Linköping University Electronic Press},
  title        = {{The OpenModelica Integrated Modeling, Simulation, and Optimization Environment}},
  doi          = {10.3384/ecp18154206},
  volume       = {154},
  year         = {2019},
}

@article{1489,
  author       = {Qin, Xiaolin and Yang, Lu and Feng, Yong and Bachmann, Bernhard and Fritzson, Peter},
  issn         = {00963003},
  journal      = {Applied Mathematics and Computation},
  pages        = {189--202},
  publisher    = {Elsevier BV},
  title        = {{Index reduction of differential algebraic equations by differential Dixon resultant}},
  doi          = {10.1016/j.amc.2017.12.029},
  volume       = {328},
  year         = {2018},
}

@inproceedings{1525,
  author       = {Braun, Willi and Casella, Francesco and Bachmann, Bernhard},
  booktitle    = {Proceedings of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17, 2017},
  isbn         = {9789176855751},
  location     = {Prag, Czech Republic},
  pages        = {557--563},
  publisher    = {Linköping University Electronic Press},
  title        = {{Solving large-scale Modelica models: new approaches and experimental results using OpenModelica}},
  doi          = {10.3384/ecp17132557},
  volume       = {132},
  year         = {2017},
}

@inproceedings{1526,
  author       = {Braun, Willi and Kulshreshtha, Kshitij and Franke, Rüdiger and Walther, Andrea and Bachmann, Bernhard},
  booktitle    = {Proceedings of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17, 2017},
  isbn         = {9789176855751},
  issn         = {1650-3740},
  location     = {Prague},
  pages        = {363--366},
  publisher    = {Linköping University Electronic Press},
  title        = {{Towards Adjoint and Directional Derivatives in FMI utilizing ADOL-C within OpenModelica}},
  doi          = {10.3384/ecp17132363},
  volume       = {132},
  year         = {2017},
}

@inproceedings{1527,
  author       = {Hagemann, Jan and Täuber, Patrick and Ochel, Lennart and Bachmann, Bernhard},
  booktitle    = {Proceedings of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17, 2017},
  isbn         = {9789176855751},
  location     = {Prague},
  pages        = {581--588},
  publisher    = {Linköping University Electronic Press},
  title        = {{Smart Processing of Function Calls to Achieve Efficient Simulation Code}},
  doi          = {10.3384/ecp17132581},
  volume       = {132},
  year         = {2017},
}