Optimization Online


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

Modify/Update this entry

  Visitors Authors More about us Links
  Subscribe, Unsubscribe
Digest Archive
Search, Browse the Repository


Coordinator's Board
Classification Scheme
Give us feedback
Optimization Journals, Sites, Societies
Mathematical Programming Society