WIAS Preprint No. 473, (1999)

An efficient stochastic algorithm for studying coagulation dynamics and gelation phenomena


Authors

  • Eibeck, Andreas
  • Wagner, Wolfgang

2010 Mathematics Subject Classification

  • 65C05 82C22 60K35

Keywords

  • coagulation equation, stochastic particle method, simulation algorithm, gelation phenomena

DOI

10.20347/WIAS.PREPRINT.473

Abstract

A new class of efficient stochastic algorithms for the numerical treatment of coagulation processes is proposed. The algorithms are based on the introduction of fictitious jumps combined with an acceptance-rejection technique for distributions depending on particle size. The increased efficiency is demonstrated by numerical experiments. In particular, gelation phenomena are studied.

Appeared in

  • SIAM J. Sci. Comput., 22(2000), pp. 802-821

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