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Data Fitting and Experimental Design in Dynamical Systems with EASY-FIT ModelDesign

Klaus Schittkowski(klaus.schittkowski***at***uni-bayreuth.de)

Abstract: EASY-FIT is an interactive software system to identify parameters and compute optimal designs in explicit model functions, steady-state systems, Laplace transformations, systems of ordinary differential equations, differential algebraic equations, or systems of one-dimensional time dependent partial differential equations with or without algebraic equations. Proceeding from given experimental data, i.e. observation times and measurements, the minimum least squares distance of measured data from a fitting criterion is computed, that depends on the solution of the dynamical system. The software system is implemented in form of a Microsoft Access database running under MS-Windows. The underlying numerical algorithms are coded in Fortran and are executable independently from the interface. Model functions are either interpreted and evaluated symbolically by a Fortran-similar modeling language, that allows in addition automatic differentiation of nonlinear functions, or by user-provided Fortran subroutines.

Keywords: parameter estimation;optimal design; data fitting; dynamical systems;ODE; DAE; PDE; PDAE;differential equations; differential algebraic equations;partial differential equations;partial differential algebraic equations

Category 1: Nonlinear Optimization (Nonlinear Systems and Least-Squares )

Category 2: Optimization Software and Modeling Systems (Problem Solving Environments )

Category 3: Nonlinear Optimization (Systems governed by Differential Equations Optimization )

Citation: Report, Department of Computer Science, University of Bayreuth, 95440 Bayreuth, Germany, 2009

Download: [PDF]

Entry Submitted: 11/16/2009
Entry Accepted: 11/16/2009
Entry Last Modified: 11/16/2009

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