Sielemann, MichaelMichaelSielemannSchmitz, GerhardGerhardSchmitz2022-09-092022-09-092011Mathematics and Computers in Simulation 81 (12): 2673-2687 (2011)http://hdl.handle.net/11420/13566Practitioners in the area of dynamic simulation of technical systems report difficulties at times with steady-state initialization of models developed using general declarative modeling languages. These difficulties are analyzed in detail in this work and a rigorous approach to quantify robustness in the context of nonlinear algebraic equation systems is presented. This tool is then utilized in a study of six state of the art gradient-based iterative solvers on a set of industrial test problems. Finally, conclusions are drawn on the observed solver robustness in general, and it is argued whether the reported difficulties with steady-state initialization can be supported using the proposed quantitative metric.enMathematics and computers in simulation20111226732687Elsevier ScienceDeclarative modelingDynamical systemModelicaRobustnessSteady state initializationInformatikMathematikA quantitative metric for robustness of nonlinear algebraic equation solversJournal Article10.1016/j.matcom.2011.05.010Journal Article