Self-Adjusting Multi-Rate Runge-Kutta Methods: Analysis and Efficient Implementation in An Open Source Framework
B. Bachmann, L. Bonaventura, F. Casella, S. Fernández-García, M. Gómez-Mármol, P. Hannebohm, Journal of Scientific Computing 105 (2025).

Constant Time Causalization using Resizable Arrays
K. Abdelhak, B. Bachmann, in: Proceedings of the 16th International Modelica&;FMI Conference, September 8 – 10, 2025, Lucerne University of Applied Sciences and Arts (HSLU), Linköping University Electronic Press, 2025.

Residual-Informed Learning of Solutions to Algebraic Loops
F. Brandt, A. Heuermann, P. Hannebohm, B. Bachmann, ArXiv:2510.09317 (2025).

Diagnosing Newton’s Solver Convergence Failures in the Initialization of Modelica Models
F. Casella, B. Bachmann, K. Abdelhak, P. Hannebohm, T. Van der Stelt, in: Proceedings of the 16th International Modelica&;FMI Conference, September 8 – 10, 2025, Lucerne University of Applied Sciences and Arts (HSLU), Linköping University Electronic Press, 2025.

Selective Evaluation of RHS during Multi-Rate Simulation
P. Hannebohm, B. Bachmann, in: D. Zimmer, U.C. Müller (Eds.), Proceedings of the 16th International Modelica&;FMI Conference, Linköping University Electronic Press, 2025, pp. 943–947.

Efficient Training of Physics-enhanced Neural ODEs via Direct Collocation and Nonlinear Programming
L. Langenkamp, P. Hannebohm, B. Bachmann, in: D. Zimmer, U.C. Müller (Eds.), Proceedings of the 16th International Modelica&;FMI Conference, Linköping University Electronic Press, 2025, pp. 445–457.

Enhancing Collocation-Based Dynamic Optimization through Adaptive Mesh Refinement
L. Langenkamp, B. Bachmann, in: D. Zimmer, U.C. Müller (Eds.), Proceedings of the 16th International Modelica&;FMI Conference, Linköping University Electronic Press, 2025, pp. 127–138.

Multi-rate Runge-Kutta methods: stability analysis and applications
B. Bachmann, L. Bonaventura, F. Casella, S. Fernández-García, M. Gómez-Mármol, Multi-Rate Runge-Kutta Methods: Stability Analysis and Applications, 2024.

Pseudo Array Causalization
K. Abdelhak, F. Casella, B. Bachmann, in: Proceedings of the 15th International Modelica Conference 2023, Aachen, October 9-11, Linköping University Electronic Press, 2023, pp. 177–188.

Accelerating the simulation of equation-based models by replacing non-linear algebraic loops with error-controlled machine learning surrogates
A. Heuermann, P. Hannebohm, M. Schäfer, B. Bachmann, in: D. Müller, A. Monti, A. Benigni (Eds.), Proceedings of the 15th International Modelica Conference 2023, Aachen, October 9-11, Linköping University Electronic Press, 2023, pp. 275–284.

Fehlerkontrollierte ML-Surrogate zur beschleunigten Simulation nichtlinearer Gleichungssysteme in Modelica
A. Heuermann, P. Hannebohm, M. Schäfer, B. Bachmann, in: Unpublished, 2023.

DETERMINISTISCHE UND BIONISCHE HEURISTIKEN ZUR LÖSUNG VON ENTSORGUNGSPROBLEMEN - Am Beispiel des Laubharkproblems
K. Abdelhak, B. Bachmann, R. Derdau, A. Hartmann, H.-J. Kruse, DETERMINISTISCHE UND BIONISCHE HEURISTIKEN ZUR LÖSUNG VON ENTSORGUNGSPROBLEMEN - Am Beispiel des Laubharkproblems, 2023.

On the choice of initial guesses for the Newton-Raphson algorithm
F. Casella, B. Bachmann, Applied Mathematics and Computation 398 (2021).

Contributions to the Efficient and Parallel Jacobian Evaluation and its Application in OpenModelica
W. Braun, M. Schroschk, V. Ruge, A. Heuermann, B. Bachmann, in: Proceedings of the American Modelica Conference 2020, Boulder, Colorado, USA, March 23-25, 2020, Linköping University Electronic Press, 2020, pp. 159–167.

The OpenModelica Integrated Environment for Modeling, Simulation, and Model-Based Development
P. Fritzson, A. Pop, K. Abdelhak, A. Ashgar, B. Bachmann, W. Braun, D. Bouskela, R. Braun, L. Buffoni, F. Casella, R. Castro, R. Franke, D. Fritzson, M. Gebremedhin, A. Heuermann, B. Lie, A. Mengist, L. Mikelsons, K. Moudgalya, L. Ochel, A. Palanisamy, V. Ruge, W. Schamai, M. Sjölund, B. Thiele, J. Tinnerholm, P. Östlund, Modeling, Identification and Control: A Norwegian Research Bulletin 41 (2020) 241–295.

The OpenModelica Integrated Modeling, Simulation, and Optimization Environment
P. Fritzson, A. Pop, A. Asghar, B. Bachmann, W. Braun, R. Braun, L. Buffoni, F. Casella, R. Castro, A. Danós, R. Franke, M. Gebremedhin, B. Lie, A. Mengist, K. Moudgalya, L. Ochel, A. Palanisamy, W. Schamai, M. Sjölund, B. Thiele, V. Waurich, P. Östlund, in: M. Tiller, H. Tummescheit, L. Vanfretti (Eds.), Proceedings of The American Modelica Conference 2018, October 9-10, Somberg Conference Center, Cambridge MA, USA, Linköping University Electronic Press, 2019, pp. 206–219.

Index reduction of differential algebraic equations by differential Dixon resultant
X. Qin, L. Yang, Y. Feng, B. Bachmann, P. Fritzson, Applied Mathematics and Computation 328 (2018) 189–202.

Solving large-scale Modelica models: new approaches and experimental results using OpenModelica
W. Braun, F. Casella, B. Bachmann, in: Proceedings of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17, 2017, Linköping University Electronic Press, 2017, pp. 557–563.

Towards Adjoint and Directional Derivatives in FMI utilizing ADOL-C within OpenModelica
W. Braun, K. Kulshreshtha, R. Franke, A. Walther, B. Bachmann, in: Proceedings of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17, 2017, Linköping University Electronic Press, 2017, pp. 363–366.

Smart Processing of Function Calls to Achieve Efficient Simulation Code
J. Hagemann, P. Täuber, L. Ochel, B. Bachmann, in: Proceedings of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17, 2017, Linköping University Electronic Press, 2017, pp. 581–588.