Strang Splitting for the Time-Dependent Schrödinger Equation on Sparse Grids
نویسنده
چکیده
The time-dependent Schrödinger equation is discretized in space by a sparse grid pseudo-spectral method. The Strang splitting for the resulting evolutionary problem features first or second order convergence in time, depending on the smoothness of the potential and of the initial data. In contrast to the full grid case, where the frequency domain is the working place, the proof of the sufficient conditions for the convergence is done in the space realm.
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ورودعنوان ژورنال:
- SIAM J. Numerical Analysis
دوره 46 شماره
صفحات -
تاریخ انتشار 2007