Can I read Recovery of molecular weight distributions from transformed domains. Part II. Application of numerical inversion methods on EtoBox?

Recovery of molecular weight distributions from transformed domains. Part II. Application of numerical inversion methods by M. Asteasuain; A. Brandolin; C. Sarmoria is a Materials Science article available to read on EtoBox.

What is Recovery of molecular weight distributions from transformed domains. Part II. Application of numerical inversion methods about?

This work is a part of a study aiming at developing tools for the prediction of complete molecular weight distributions (MWDs) of polymers at the exit of a reactor. This reactor may be a synthesis reactor or one used to modify a preexisting resin. In this work, we analyse the suitability of three methods for the numerical inversion of probability generating functions (pgfs), those due to Papoulis, de Hoog and Garbow. The three methods have been proposed in the literature for the inversion of Laplace transforms. We show how to adapt them to the problem at hand, and apply them to two situations. The ®rst one is the recovery of experimentally measured MWDs, through a process that consists of ®nding the pgf of the distribution, numerically inverting it and comparing the result with the known MWD. The second one is to solve the pgf balances of polymerisation systems with known MWDs, and comparing those MWD with the ones that result from the inversion with the three methods. We discuss the relative advantages of each inversion method and propose guidelines for their proper use with unknown MWD functions.

Who reads Recovery of molecular weight distributions from transformed domains. Part II. Application of numerical inversion methods?

Author

M. Asteasuain; A. Brandolin; C. Sarmoria

Publisher

Elsevier Science; Elsevier ; Elsevier BV (ISSN 0032-3861)

Published

2002

Language

EN

Field

Materials Science (Physical Sciences)