Interactive software system for parameter estimation and experimental design for dynamical systems based on:
explicit model functions Laplace transforms steady state systems Ordinary Differential Equations (ODE) differential algebraic equations (DAE) one-dimensional, time-dependent partial differential equations (PDE) one-dimensional, partial differential algebraic equations (PDAE)
Proceeding from given experimental data, i.e., observation times and measurements, the minimum least squares distances of measured data from a fitting criterion are computed, which depends on the solution of the dynamic system. Various types of one-dimensional partial differential equations are permitted, also hyperbolic ones describing shock waves. Advection, diffusion, transport, or related equations can be solved successfully by non-oscillatory discretization schemes, even with non-continuous initial or boundary conditions.
A statistical analysis provides confidence intervals for estimated parameters, correlation and covariance Matrix, identification of significance levels for estimated parameters, and optimum experimental design. As a by-product, curve and surface fits are available.
The software runs under MS-Windows Vista or XP, and a version for Windows 2K or earlier is available on request. For models based only on algebraic equations, see EASY-FIT Express. For minimizing any nonlinear functions subject to nonlinear constraints, see EASY-OPT Express. In both cases, a free download is offered.