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THE FEUTEX TOOLKIT

Composite Simpson Panel Budget

Estimate an even panel count sufficient for a supplied fourth-derivative bound.

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01 Your input
02 Your result
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FormulaPanels = 2*max(1,ceil(((b-a)**5*M/(180*tol))**0.25/2))
Sources and model references

Made for real tasks

  • Estimate an even panel count sufficient for a supplied fourth-derivative bound.
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Worked example

Inputs

Integration start
0 number
Integration end
1 number
Maximum fourth derivative magnitude
24 number
Absolute error target
1e-06 number

Expected results

Panels
20 panels

Load the example in the workspace to reproduce these results. Display rounding does not change the underlying calculation.

How to use this tool

  1. Enter integration start, integration end, maximum fourth derivative magnitude, absolute error target.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "a": 0,
  "b": 1,
  "M": 24,
  "tol": 0.000001
}

Accuracy and scope

Requires a continuous fourth derivative bounded by M. Rounding error is not included.

Is my data uploaded?

This tool runs locally in your browser. Input and output are not sent to a processing server. Copy or download your result before leaving the page.