Global and local optimization using radial basis function response surface models

Applied Mathematical Modelling

Volumn 31, Issue 10, 2007, Pages 2095-2110

  McDonald, Dale B ^a   Grantham, Walter J ^a   Tabor, Wayne L ^b   Murphy, Michael J ^c  

^a Washington State University   (United States)

^b MARSHALL UNIVERSITY   (United States)

^c LAWRENCE LIVERMORE NATIONAL LABORATORY   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

COMPUTER SIMULATION; GLOBAL OPTIMIZATION; INTERPOLATION; MATHEMATICAL MODELS; RADIAL BASIS FUNCTION NETWORKS;

LOCAL EXTREMA; OBJECTIVE FUNCTION; RESPONSE SURFACE MODEL;

PARAMETERIZATION;

COMPUTER SIMULATION; GLOBAL OPTIMIZATION; INTERPOLATION; MATHEMATICAL MODELS; PARAMETERIZATION; RADIAL BASIS FUNCTION NETWORKS;

EID: 34247197060     PISSN: 0307904X     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.apm.2006.08.008     Document Type: Article

References (11)

1. E.L. Baker, Modelling and Optimization of Shaped Charge Liner Collapse and Jet Formation, Ph.D. Dissertation, Washington State University, 1992.
2. Myers R.H., and Montgomery D.H. Response Surface Methodology (1995), Wiley, New York
3. Powell M.J.D. The theory of radial basis function approximation in 1990. In: Light W. (Ed). Numerical Analysis II, Wavelets, Subdivision, and Radial Basis Functions (1992), Oxford University Press, Oxford 105-210
4. Box G.E.P., and Draper N.R. Empirical Model Building and Response Surfaces (1987), Wiley, New York
5. Vincent T.L., and Grantham W.J. Optimality in Parametric Systems (1981), Wiley, New York
6. Watkins D.S. Fundamentals of Matrix Computations (1991), Wiley, New York
7. Hardy R.L. Theory and applications of the multiquadric-biharmonic method. Computers and Mathematics with Applications 19 (1990) 163-208
8. Press, et al. Numerical Recipes, the Art of Scientific Computing (1986), Cambridge University Press, New York
9. R.E. Tipton, CALE Users Manual, Lawrence Livermore National Laboratory, Version 980201.
10. Gill P.E., Murray W., and Wright M.H. Practical Optimization (1981), Academic Press, New York
11. Vincent T.L., and Grantham W.J. Nonlinear and Optimal Control Systems (1997), Wiley, New York