Multigrid solver for the reference interaction site model of molecular liquids theory

In this article, we propose a new multigrid‐based algorithm for solving integral equations of the reference interactions site model (RISM). We also investigate the relationship between the parameters of the algorithm and the numerical accuracy of the hydration free energy calculations by RISM. For t...

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Vydáno v:Journal of computational chemistry Ročník 32; číslo 9; s. 1982 - 1992
Hlavní autoři: Sergiievskyi, Volodymyr P., Hackbusch, Wolfgang, Fedorov, Maxim V.
Médium: Journal Article
Jazyk:angličtina
Vydáno: Hoboken Wiley Subscription Services, Inc., A Wiley Company 15.07.2011
Wiley Subscription Services, Inc
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ISSN:0192-8651, 1096-987X, 1096-987X
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Shrnutí:In this article, we propose a new multigrid‐based algorithm for solving integral equations of the reference interactions site model (RISM). We also investigate the relationship between the parameters of the algorithm and the numerical accuracy of the hydration free energy calculations by RISM. For this purpose, we analyzed the performance of the method for several numerical tests with polar and nonpolar compounds. The results of this analysis provide some guidelines for choosing an optimal set of parameters to minimize computational expenses. We compared the performance of the proposed multigrid‐based method with the one‐grid Picard iteration and nested Picard iteration methods. We show that the proposed method is over 30 times faster than the one‐grid iteration method, and in the high accuracy regime, it is almost seven times faster than the nested Picard iteration method. © 2011 Wiley Periodicals, Inc. J Comput Chem, 2011
Bibliografie:ark:/67375/WNG-VTQPHF50-6
Deutsche Forschungsgemeinschaft (DFG)-German Research Foundation - No. FE 1156/2-1
ArticleID:JCC21783
istex:BF0B8D4B5D1AABDF7B06A349FA088AE7DD5142AC
49‐(0)‐341‐9959‐804; fax: +49‐(0)‐341‐9959‐999
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ISSN:0192-8651
1096-987X
1096-987X
DOI:10.1002/jcc.21783