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Assertion (A): An unconditionally stable integration scheme may be used with any time step.

Reason (R): Such a scheme does not produce a solution that grows without bound.

Select the correct option.

  • A.A is true but R is false
  • B.A is false but R is true
  • C.Both A and R are true, and R is the correct explanation of A
  • D.Both A and R are true, but R is not the correct explanation of A

Answer: B

Stability and accuracy are different properties: a large step gives a bounded but badly wrong answer. The reason states the meaning of unconditional stability correctly, which is precisely why it does not license any step size.

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