Empirical model-building and response surface
Empirical model-building and response surface
New model of general systems theory
Cybernetics and Systems
An Evaluation of Mathematical Software that Solves Nonlinear Least Squares Problems
ACM Transactions on Mathematical Software (TOMS)
An Adaptive Nonlinear Least-Squares Algorithm
ACM Transactions on Mathematical Software (TOMS)
Advances in Engineering Software
A computational algorithm for system modelling based on bi-dimensional finite element techniques
Advances in Engineering Software
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This paper presents an algorithm that generates families of mathematical models with nonlinear parameters, and includes the study of linear models, based on the experimental data of the intervening variables. The implementation of this algorithm has been named polymodel and is based on the application of the Gauss-Newton algorithm for obtaining the parameters of nonlinear models [Verdu F. Un Algoritmo para la construccion multiple de modelos matematicos no lineales y el estudio de su estabilidad. Doctoral Tesis. Universidad de Alicante, 2004]. One of its characteristics is a search among different nonlinear models within the parameters; unlike the methods found in the scientific literature [Camacho Rosales J. Estadistica con SPSS para windows. Ed. Ra-Ma, 2002; Mathsoft Inc. Splus-4. Guide to Statistics. Seattle, 1997], the user does not intervene in their generation. A pruning criteria has also been introduced that is based on the stability analysis of models generated from perturbations, applying studies carried out by the authors and published in [Verdu F, Villacampa Y. A computer program for a Monte Carlo analysis of sensitivity in equations of environmental modelling obtained from experimental data. Advances in Engineering Software, 2002]. Object-oriented Pascal has been used in Delphi 6.