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Choosing too large a time step in a conditionally stable scheme produces

  • A.no solution at all
  • B.a solution identical to that from a small time step
  • C.a solution that grows without bound and is obviously wrong
  • D.a solution that is merely slightly less accurate but still usable

Answer: C

Instability announces itself as oscillations that double in amplitude every few steps, which is at least easy to recognise. The dangerous case is a stable but inaccurate solution from an over-large step in an unconditionally stable scheme.

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