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Error bounds for exponential operator splittings. (English) Zbl 0972.65061
The authors obtain error bounds for Strang splittings involving unbounded operators. They apply the results to a numerical method for the Schrödinger equation, in which the Laplacian is discretized by a Fourier method.

MSC:
65M15 Error bounds for initial value and initial-boundary value problems involving PDEs
65M70 Spectral, collocation and related methods for initial value and initial-boundary value problems involving PDEs
35Q55 NLS equations (nonlinear Schrödinger equations)
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