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Projektionsverfahren zur Simulation von Copolymerisationsprozessen

In: Mathematik Schlüsseltechnologie für die Zukunft

Author

Listed:
  • I. Bremer

    (Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) im Forschungsverbund Berlin e.V.)

  • R. Antonova

    (Weierstraß-Institut für Angewandte Analysis und Stochastik (WIAS) im Forschungsverbund Berlin e.V.)

Abstract

Modelling copolymerization reactions by using formal kinetics between species of different chain length leads to a system of some algebraic and infinitly many ordinary differential equations. We will treat mass distributions over chain length as basic objects instead of considering single species. This will reduce the number of objects to simulate. In case of two and more monomers we get distributions in higher space dimension. We use statistical moments of such distributions or their time-derivative’s for the direct approximation or to obtain weight functions for simulation with discrete weighted residual methods such as Galerkin’s method. We give a short overview on how to generate program-code with the appropriate right hand side for standard DAE or ODE solver.

Suggested Citation

  • I. Bremer & R. Antonova, 1997. "Projektionsverfahren zur Simulation von Copolymerisationsprozessen," Springer Books, in: Karl-Heinz Hoffmann & Willi Jäger & Thomas Lohmann & Hermann Schunck (ed.), Mathematik Schlüsseltechnologie für die Zukunft, pages 75-82, Springer.
    • Handle: RePEc:spr:sprchp:978-3-642-60550-5_7
    DOI: 10.1007/978-3-642-60550-5_7
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