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

DOI10.1016/S0010-4655(99)00186-1zbMath1001.65141MaRDI QIDQ1613816

L. E. Scales, Michael J. Booth, A. G. Schlijper, A. D. J. Haymet

Publication date: 2 September 2002

Published in: Computer Physics Communications (Search for Journal in Brave)

zbMATH Keywords

performancenonlinear integral equationPicard iterationextrapolation methodsinhomogeneous fluidsNewton-GMRES algorithmhybrid Newton-Raphson and Picard methodsNITSOLNKSOLnonlinear Krylov solversOrnstein-Zernike type integral equations

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Other nonlinear integral equations (45G10) Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Complexity and performance of numerical algorithms (65Y20)

Related Items (3)

Structure of Hard Spheres and Related Systems ⋮ A fast solver for the Ornstein--Zernike equations ⋮ Integral equations in the study of polar and ionic interaction site fluids

Uses Software

• NITSOL
• KELLEY

Cites Work

• Unnamed Item
• An efficient Newton's method for the numerical solution of fluid integral equations
• A comparison of numerical methods for solving nonlinear integral equations found in liquid theories
• A survey of numerical methods for solving nonlinear integral equations
• Iterative solution of the Ornstein-Zernike equation with various closures using vector extrapolation
• An efficient Gauss-Newton-like method for the numerical solution of the Ornstein-Zernike integral equation for a class of fluid models
• Non-isotropic solution of an OZ equation: Matrix methods for integral equations
• Analysis of the bulk and surface-induced structure of electrolyte solutions using intergral equation theories
• Hybrid Krylov Methods for Nonlinear Systems of Equations
• GMRES: A Generalized Minimal Residual Algorithm for Solving Nonsymmetric Linear Systems
• Tensor-GMRES Method for Large Systems of Nonlinear Equations
• NITSOL: A Newton Iterative Solver for Nonlinear Systems
• Choosing the Forcing Terms in an Inexact Newton Method
• The Numerical Solution of Fredholm integral Equations of the Second Kind

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