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

Volodymyr P. Sergiievskyi, Wolfgang Hackbusch, Maxim V. Fedorov

Research output: Contribution to journalArticle

15 Citations (Scopus)

Abstract

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.

LanguageEnglish
Pages1982-1992
Number of pages11
JournalJournal of Computational Chemistry
Volume32
Issue number9
DOIs
Publication statusPublished - 15 Jul 2011

Fingerprint

Picard Iteration
Iteration Method
Liquid
Liquids
Interaction
Hydration
Free energy
Integral equations
Grid
Numerical Accuracy
Free Energy
Integral Equations
High Accuracy
Model
Minimise

Keywords

  • multigrid
  • RISM
  • integral equation theory
  • hydration free energy
  • solving integral equations
  • 3D solvation structure
  • self consistent field
  • free energy
  • iterative subspace
  • numerical solution
  • direct inversion
  • aqueous-solutions
  • water
  • implementation

Cite this

Sergiievskyi, Volodymyr P. ; Hackbusch, Wolfgang ; Fedorov, Maxim V. / Multigrid solver for the reference interaction site model of molecular liquids theory. In: Journal of Computational Chemistry . 2011 ; Vol. 32, No. 9. pp. 1982-1992.
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Multigrid solver for the reference interaction site model of molecular liquids theory. / Sergiievskyi, Volodymyr P.; Hackbusch, Wolfgang; Fedorov, Maxim V.

In: Journal of Computational Chemistry , Vol. 32, No. 9, 15.07.2011, p. 1982-1992.

Research output: Contribution to journalArticle

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AB - 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.

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