Practice question · True or false
If halving the step size leaves the answer essentially unchanged, the answer is correct.
Hints
- Converged to what?
- A method can converge steadily to the wrong thing.
Show the answer
False
Why
False. Refinement-independence shows the discretisation error is small, the answer has converged, but it says nothing about whether the equations, boundary conditions or units were right. A convergence study catches step-size error and nothing else; a wrong model converges beautifully to a wrong answer.
Practise Scientific Computing in Practice
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