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VPH NoE ToolKit

Berkeley Madonna 

Date added: 17.2.2012  Hot Hits: 97   0 
Version:  8.3.18  mature  Submitter:  Randy Thomas  This e-mail address is being protected from spambots. You need JavaScript enabled to view it   License:  Commercial
Supported platform:  Windows Macintosh Target user group: Researchers; Students; Industry Software technology type:  Development framework
Website Tags: ODE solver,  DAE solver,  graphical interface or text input for model definition Categories: Solvers | Analysis | Editors

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:

Main Features:  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

see

Requirements:  Berkeley Madonna for Macintosh runs on Apple Power Macintosh and 100% compatible computers with a PowerPC CPU (601, 604, G3, etc). It will also run on the new Intel-based Macintoshs under the Rosetta emulator. Older machines with 68K CPUs are not supported.

Berkeley Madonna for Windows runs on personal computers with Intel x86 or compatible processors under Microsoft Windows 95, Windows 98, Windows NT 4.0, Windows XP, and later versions of these operating systems.

Installation method:  Download and run the installer...

Documentation:  included with the application, in the Help menu. Very easy to learn. Numerous examples and How Tos as well.

Users of the technology:  Randy Thomas

Constraints:  needs Java runtime for the Flowchart editor

Support available: 

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