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Efficient solution of liquid state integral equations using the Newton-GMRES algorithm

โœ Scribed by Michael J. Booth; A.G. Schlijper; L.E. Scales; A.D.J. Haymet

Book ID
104109907
Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
934 KB
Volume
119
Category
Article
ISSN
0010-4655

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โœฆ Synopsis

We present examples of the accurate, robust and efficient solution of Ornstein-Zernike type integral equations which describe the structure of both homogeneous and inhomogeneous fluids. In this work we use the Newton-GMRES algorithm as implemented in the public-domain nonlinear Krylov solvers NKSOL [

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An approximation technique is developed for the steady-state solution of the time-varying matrix Riccati equation. We show how the Newton-type algorithm of Kleinman, developed for computing the steady solution to the algebraic Riccati equation for time-invariant systems, can be extended for time-var