SOME ANALYTIC RESULTS CONCERNING THE ACCURACY OF THE CONTINUOUS APPROXIMATION IN A POLYMERIZATION PROBLEM.

Meira S. Falkovitz; Lee A. Segel

doi:10.1137/0142038

SOME ANALYTIC RESULTS CONCERNING THE ACCURACY OF THE CONTINUOUS APPROXIMATION IN A POLYMERIZATION PROBLEM.

Meira S. Falkovitz^*
, Lee A. Segel

^*Corresponding author for this work

Department of Environmental Economics and Management

Research output: Contribution to journal › Article › peer-review

4 Scopus citations

Abstract

The exact solution of a simple example of nonterminating irreversible polymerization gives a Poisson distribution of polymer lengths. Analytic results are given for the accuracy of first and second order continuous approximations to the problem. The latter approximation, for example, is shown to give excellent results for the mean and standard deviation, but poor results for the third moment.

Original language	English
Pages (from-to)	542-548
Number of pages	7
Journal	SIAM Journal on Applied Mathematics
Volume	42
Issue number	3
DOIs	https://doi.org/10.1137/0142038
State	Published - 1982

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AB - The exact solution of a simple example of nonterminating irreversible polymerization gives a Poisson distribution of polymer lengths. Analytic results are given for the accuracy of first and second order continuous approximations to the problem. The latter approximation, for example, is shown to give excellent results for the mean and standard deviation, but poor results for the third moment.

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SOME ANALYTIC RESULTS CONCERNING THE ACCURACY OF THE CONTINUOUS APPROXIMATION IN A POLYMERIZATION PROBLEM.

Abstract

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