We prove a posteriori error estimates of optimal order in the L(infinity)(L(2))-norm for time-splitting spectral methods applied to the linear Schrodinger equation in the semiclassical regime. The a posteriori error estimates are obtained by considering an appropriate extension in time of the numerical schemes and using energy techniques. Numerical experiments are presented that confirm our theoretical results.
- a posteriori estimates
- time-splitting spectral methods
- Schrodinger equation