On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations
نویسندگان
چکیده
منابع مشابه
On splitting methods for Schrödinger-Poisson and cubic nonlinear Schrödinger equations
We give an error analysis of Strang-type splitting integrators for nonlinear Schrödinger equations. For Schrödinger-Poisson equations with an H4-regular solution, a first-order error bound in the H1 norm is shown and used to derive a second-order error bound in the L2 norm. For the cubic Schrödinger equation with an H4-regular solution, first-order convergence in the H2 norm is used to obtain s...
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ژورنال
عنوان ژورنال: Mathematics of Computation
سال: 2008
ISSN: 0025-5718
DOI: 10.1090/s0025-5718-08-02101-7