Version 5.14 (2013)
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 XP or later. 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.
Do you want to see what other users said?
·
user interface
extensive database coming with 1.300 examples
convenient
modeling language with automatic differentiation
alternative
Fortran interface
up to 30 fitting criteria
and data sets
syntax-highlighting editor
extensive
report and graphics facilities, also for Gnuplot
in- and
output of data by text files or Excel
runs under
Windows
·
general
arbitrary fitting criteria depending
on the parameters to be estimated, and the solution of the dynamic system
additional
nonlinear equality or inequality
constraints
second
independent model variable called concentration
switching points
with restart of integration, e.g., for changing the model
variable switching
times, e.g., for modeling dynamical
input functions
alternative
norms (sum of absolute values, maximum of absolute values)
confidence intervals for
estimated parameters, correlation and covariance matrix
identification
of significance levels for estimated parameters
computation
of optimal
experimental designs (A-criterion)
·
ordinary differential equations (ODE)
explicit and
implicit solvers
stiff and
large ordinary differential equations, band structures
shooting method
for unstable ordinary differential equations
·
ordinary differential algebraic equations (DAEs)
algebraic equations up to index 3
consistent
index-1-initial values evaluated internally
·
one-dimensional, time-dependent partial differential equations (PDEs)
coupled ordinary differential
equations
different integration
areas with non-continuous transitions
large number of discretization procedures
upwind
formulae and ENO method for hyperbolic equations
boundary conditions in Dirichlet or Neumann form or as implicit algebraic equations
·
database with 1.300
examples
243 explicit
model functions
41 steady
state systems
10 Laplace
transforms
575 ordinary
differential equations
62 differential algebraic equations
325
one-dimensional, time-dependent partial differential equations
44
one-dimensional partial differential algebraic equations
... for more information see the documentation (378 pages, 554 references) easy_fit.pdf
· solution of complex
identification problems with minimal implementation efforts
· intuitively
understandable and flexible modeling language
· huge number of
test cases to start from
· sophisticated and
up-to-date numerical routines
· sound
scientific background
· new and highly
complex statistical tools (significance levels, optimum design)
· explicit functions
linear compartment
model with bolus application (LKIN_X)
in-vivo glucose turnover rate
(GLU_RATE)
surface plot for rational
approximation (2D_INTRL)
· systems of
equations (steady-state)
receptor-ligand
binding study (RECLIC19)
optimal residence
time of a chemostat (CHEMSTAT)
· Laplace equations
linear compartment
model with bolus application (LKIN_L)
· ordinary differential equations (ODE)
linear compartment
model with bolus application (LKIN)
· ordinary differential equations (ODE)
linear compartment
model with bolus application (LKIN)
unstructured growth
of trichosporon cutaneum (TRICHO)
·
ordinary differential algebraic equations (DAEs)
pendulum
(PENDU_I3)
batch reactor
(BATCHREA)
·
one-dimensional partial differential equations (PDEs)
heat equation
(HEAT)
diffusion of
tracer
through soil (SOIL)
·
one-dimensional partial differential algebraic equations (PDEs)
heat equation (HEAT_A)
... names in brackets refer to database identifiers
Practical applications of EASY-FIT ^{ModelDesign} are (among many others):
· | robot design |
· | multibody system of a truck |
· | nonlinear pharmacokinetics |
· | receptor-ligand binding study |
· | distillation column |
· | chemical reactions, e.g., acetylen reactor |
· | diffusion of substances through skin |
· | diffusion of water through soil |
· | drying maltodextrin in a convection oven |
· | battery design |
· | fluid dynamics of hydro systems |
· | MCFC fuel cells |
· | drug dissolution |
The demo version is identical to the full version, but data and model sizes are restricted. To download the demo version, click here. The full version is activated by license key.
For more questions about features, installation, numerical routines, please contact
Prof. Klaus Schittkowski | |
Siedlerstr. 3 | phone: (+49)921 32887 |
D-95488 Eckersdorf | klaus@schittkowski.de |
Attach your data fitting model in mathematical formulation to find out whether it can be treated by EASY-FIT^{ModelDesign } or not.
- |
members/students of an academic institution: check software and license conditions, verify your status, and send e-mail |
- |
commercial institution: send e-mail for obtaining more details (price list and license conditions) |
· book:
Numerical Data Fitting in Dynamical
Systems,
Kluwer
Academic Publishers
·
documentation
·
many more publications
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