Some cubic equations of state can eventually have unphysical solutions for the molar volume. The conditions for this phenomenon are discussed. The computational accuracy and computing time requirements of the analytical root finding method (Cardano's formula) are investigated. A new, faster iterative root finder for cubic polynomials is proposed.
Description
Calculation of densities from cubic equations of state - Deiters - 2004 - AIChE Journal - Wiley Online Library
%0 Journal Article
%1 Deiters2002
%A Deiters, Ulrich K.
%D 2002
%I Wiley Subscription Services, Inc., A Wiley Company
%J AIChE Journal
%K 2002 density equation-of-state mathematics
%N 4
%P 882--886
%R 10.1002/aic.690480421
%T Calculation of densities from cubic equations of state
%U http://dx.doi.org/10.1002/aic.690480421
%V 48
%X Some cubic equations of state can eventually have unphysical solutions for the molar volume. The conditions for this phenomenon are discussed. The computational accuracy and computing time requirements of the analytical root finding method (Cardano's formula) are investigated. A new, faster iterative root finder for cubic polynomials is proposed.
@article{Deiters2002,
abstract = {Some cubic equations of state can eventually have unphysical solutions for the molar volume. The conditions for this phenomenon are discussed. The computational accuracy and computing time requirements of the analytical root finding method (Cardano's formula) are investigated. A new, faster iterative root finder for cubic polynomials is proposed.},
added-at = {2011-10-07T11:14:12.000+0200},
author = {Deiters, Ulrich K.},
biburl = {https://www.bibsonomy.org/bibtex/2de0030b5152d36ed2cb9d514f2cc726f/thorade},
description = {Calculation of densities from cubic equations of state - Deiters - 2004 - AIChE Journal - Wiley Online Library},
doi = {10.1002/aic.690480421},
interhash = {89b82547312dbba585949b58ec773a8c},
intrahash = {de0030b5152d36ed2cb9d514f2cc726f},
issn = {1547-5905},
journal = {AIChE Journal},
keywords = {2002 density equation-of-state mathematics},
number = 4,
pages = {882--886},
publisher = {Wiley Subscription Services, Inc., A Wiley Company},
timestamp = {2011-10-07T11:14:12.000+0200},
title = {Calculation of densities from cubic equations of state},
url = {http://dx.doi.org/10.1002/aic.690480421},
volume = 48,
year = 2002
}