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Solves:
- Ordinary
Differential Equations - initial conditions and boundary value
problems
- Difference
Equations - initial conditions and boundary value problems
- Multi-dimensional
transcendental algebraic equation roots
- Discrete
simulations using conveyors, ovens, and queues
Easy
to Use:
- Type
equations directly into equation window in ordinary mathematical
notation, in any order; or, import equations from STELLA equation
files.
- Click
Run. Solutions are automatically plotted. Buttons on toolbar allow
variables to be toggled on and off the graph.
Special
Interfaces:
- Flowchart
Editor - create models visually with icons and let Berkeley
Madonna write the equations.
- Chemical
Reactions - write chemical equations using conventional chemical
notation. Berkeley Madonna will automatically apply the appropriate
rate law (e.g., mass action) and generate kinetic equations for
you.
Very
Fast Execution:
- Berkeley
Madonna's impressive speed makes it suitable for large-scale systems,
boundary value problems, Monte Carlo models, curve fitting, root
finding, batch processes, parameter plots, stiff systems, etc.
Parameter
Exploration:
- Change
parameter values directly using the parameter window.
-
Parameter Sliders - move the slider and the model runs instantly
and displays the new solution.
-
Automatic Scan of Parameter Space - define a range for a parameter
and Berkeley Madonna computes and plots a family of curves spanning
the range.
-
Parameter Plots - select an attribute (min, max, mean, frequency,
etc.) of any variable. Berkeley Madonna automatically plots the
attribute as a function of a parameter.
-
Sensitivity Analysis - plots the partial derivative of any variable
with respect to any parameter.
-
Optimization - searches the parameter space for a point that minimizes
an arbitrary expression.
Integration
Algorithms:
- Euler
(1st-order)
-
Runge-Kutta (2nd and 4th order)
-
Adaptive stepsize (4th order Runge-Kutta)
-
Stiff ODE solver (Rosenbrock)
-
Custom DT - write your own equations for adjusting stepsize
Import
Experimental Data:
- Use
imported data sets as piecewise-linear functions in your model.
-
Curve Fitter - estimate parameters by fitting solution to one
or more data sets
Other
Capabilities:
- Fast
Fourier Transform - plot results in frequency domain.
-
Array notation (dimensioned variables)
-
Hybrid multi-dimensional root solver used to automatically set
up steady-state initial conditions. Can also be embedded in integration
loops.
Intuitive
Interface:
Phase
Plane (X-Y) Plots:
Oscilloscope
Plots:
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| Normal
plot |
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Oscilloscope
plot
User-defined triggers reset plot to time zero. |
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