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THE FEUTEX TOOLKIT

Observed Iterative Convergence Order

Estimate convergence order from three successive positive errors against a known solution.

Math workspace● Runs in your browser
01 Your input
02 Your result
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FormulaOrder = log(e3/e2)/log(e2/e1); Error Reduction = e2/e3
Sources and model references

Made for real tasks

  • Estimate convergence order from three successive positive errors against a known solution.
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Worked example

Inputs

Earlier absolute error
0.1 number
Middle absolute error
0.01 number
Latest absolute error
0.0001 number

Expected results

Order
2 number
Error Reduction
100 number

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 earlier absolute error, middle absolute error, latest absolute error.
  2. Use the displayed units and confirm the model assumptions.
  3. Calculate and compare the outputs against your input scenario.

Try this example

{
  "e1": 0.1,
  "e2": 0.01,
  "e3": 0.0001
}

Accuracy and scope

Requires errors relative to a known solution, not residuals or successive step sizes. Pre-asymptotic and roundoff effects can distort order.

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.