How this calculation works
Cancel the leading error term when the same method is run at two resolutions.
THE FORMULA
E = A(h/2) + [A(h/2)−A(h)]/(2ᵖ−1)A worked example
Estimates 1.04 and 1.01 with order two extrapolate to 1.
Good to know
The finer step must be exactly half the coarser one.
Reference: OpenStax Algebra and Trigonometry (opens in a new tab) ↗
Read the result
Cancel the leading error term when the same method is run at two resolutions.
The primary result is labeled “Extrapolated estimate”. Keep the input definitions in view when comparing this result with another method.
Try a related calculation
The finer step must be exactly half the coarser one.
For a related exercise, try the quadratic equation solver.
A few questions, answered
How can I check the default inputs by hand?
Estimates 1.04 and 1.01 with order two extrapolate to 1.
Which rule does this calculator apply?
E = A(h/2) + [A(h/2)−A(h)]/(2ᵖ−1)