Startsida
Keywords: Events; discontinuities; hybrid systems; multistep method; Runge–Kutta method; simulation restart
Proceedings of the 10th International Modelica Conference; March 10-12; 2014; Lund; Sweden
[1] Johan Åkesson, Magnus Gäfvert, and Hubertus Tummescheit. JModelica—an open source platform for optimization of modelica models. In Proceedings of MATHMOD 2009 - 6th Vienna International Conference on Mathematical Modelling, Vienna, Austria, February 2009. TU Wien.
[2] Christian Andersson. Assimulo: a new Python based class for simulation of complex hybrid DAEs and its integration in JModelica.org. Master’s thesis, Lund University, 2011.
[3] Christian Andersson, Johan Åkesson, Claus Führer, and Magnus Gäfvert. Import and export of functional mock-up units in JModelica.org. In 8th International Modelica Conference 2011, Dresden, Germany, March 2011.
[4] Torsten Blochwitz, M. Otter, M. Arnold, C. Bausch, C. Clauß, H. Elmqvist, A. Junghanns, J. Mauss, M. Monteiro, T. Neidhold, et al. The functional mockup interface for tool independent exchange of simulation models. In Modelica’2011 Conference, March, pages 20–22, 2011.
[5] C. W. Gear. Runge–Kutta starters for multistep methods. ACM Trans. Math. Softw., 6(3):263–279, September 1980.
[6] Anthony Ralston. Runge–Kutta methods with minimum error bounds. Mathematics of computation, 16(80):431–437, 1962.
[7] Hans J. Stetter. Asymptotic expansions for the error of discretization algorithms for non-linear functional equations. Numerische Mathematik, 7(1):18–31, 1965.
[8] Reinhold von Schwerin and Hans Georg Bock. A Runge–Kutta starter for a multistep method for differential-algebraic systems with discontinuous effects. Applied numerical mathematics, 18(1):337–350, 1995.