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The stability of the two-level predictor-corrector method matches with that of the __________

(a) midpoint rule

(b) trapezoidal rule

(c) backward Euler method

(d) forward Euler method

I got this question in an interview for job.

This intriguing question comes from Transient Flows in section Transient Flows of Computational Fluid Dynamics

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Right answer is (d) forward Euler method

The explanation is: The predictor-corrector method takes the stability of the explicit Euler method. Though this is not advantageous, at least, the accuracy is better for the two-level predictor-corrector method.

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