TY - GEN A1 - Wulkow, Michael A1 - Ackermann, Jörg T1 - Numerical Treatment of Polyreactions - Recent Developments. N2 - The mathematical modeling of macromolecular reactions leads to countable (possibly infinite) systems of ordinary differential equations (CODE's). This paper reviews two recent developments of the so-called discrete Galerkin method, which has been developed for the numerical treatment of countable systems, which arise e.g. in polymer chemistry. The first approach can be considered as a method of lines with moving basis functions and has been implemented recently in the program package MACRON. The second type of the Galerkin method is characterized by a so-called outer time discretization of the complete problem and an appropriate and efficient solution of the arising subproblems. This method is realized in the research code CODEX. T3 - ZIB-Report - SC-90-15 Y1 - 1990 UR - https://opus4.kobv.de/opus4-zib/frontdoor/index/index/docId/43 UR - https://nbn-resolving.org/urn:nbn:de:0297-zib-439 ER -