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不同的建模方式
Berkeley Madonna是一个非常快速,通用的微分方程求解器。 它的图形界面提供了一个直观的平台,用于构建复杂的数学模型,使用符号而不是编写方程。 该软件提供了一套图形工具,用于绘制结果。

直观的界面
从工具栏中选择各种图标以快速构建模型,同时自动编写方程式。 单击运行可立即求解方程并绘制结果。

出色的可视化
结果自动绘制,用户可以创建滑块以快速探索更改参数的影响。 其他工具(如参数图和快速傅里叶变换按钮)提供了额外的图形洞察力。

快速执行等
从许多集成方案中进行选择,以解决ODE,差分方程和离散模拟。 使用曲线拟合界面轻松从数据中提取参数估计值,并使用批次运行绘制参数值扫描结果 – 这些只是Berkeley Madonna的一些功能。

功能特征

Solves:

  • Ordinary Differential Equations
  • Difference Equations
  • 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.
  • 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, stochastic 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. Allows for stochastic modeling using methods such as the Gillespie algorithm.

Import Experimental Data:

  • Curve Fitter - estimate parameters by fitting solution to one or more imported 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.

     

     

    Berkeley Madonna-离散模拟和仿真系统|微分方程求解

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    400-621-1085
    021-50391087

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