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THE FEUTEX TOOLKIT

Richardson Extrapolation

Extrapolate two numerical estimates to zero step size using a known leading error order.

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01 Your input
02 Your result
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FormulaExtrapolated = fine+(fine-coarse)/(ratio**order-1); Fine Error Estimate = abs((fine-coarse)/(ratio**order-1))
Sources and model references

How to use this tool

  1. Enter the labeled inputs using consistent units.
  2. Check the stated assumptions and calculate.
  3. Review each output and compare another input scenario.

Try this example

{
  "coarse": 1.1,
  "fine": 1.025,
  "ratio": 2,
  "order": 2
}

Accuracy and scope

Assumes a leading error term proportional to step size raised to the stated order. Finite floating-point arithmetic; results can lose precision near singular or extreme inputs.

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.