Order Estimates in Time of Splitting Methods for the Nonlinear Schrödinger Equation
نویسندگان
چکیده
In this paper, we consider the nonlinear Schrödinger equation ut + i∆u− F (u) = 0 in two dimensions. We show, by an operator-theoretic proof, that the well-known Lie and Strang formulae (which are splitting methods) are approximations of the exact solution of order 1 and 2 in time.
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عنوان ژورنال:
- SIAM J. Numerical Analysis
دوره 40 شماره
صفحات -
تاریخ انتشار 2002