Splitting Integrators for Nonlinear Schrödinger Equations Over Long Times
نویسندگان
چکیده
Conservation properties of a full discretization via a spectral semi-discretization in space and a Lie-Trotter splitting in time for cubic Schrödinger equations with small initial data (or small nonlinearity) are studied. The approximate conservation of the actions of the linear Schrödinger equation, energy, and momentum over long times is shown using modulated Fourier expansions. The results are valid in arbitrary spatial dimension.
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ورودعنوان ژورنال:
- Foundations of Computational Mathematics
دوره 10 شماره
صفحات -
تاریخ انتشار 2010