HIGH-ORDER EXPONENTIAL OPERATOR SPLITTING METHODSFOR TIME-DEPENDENT SCHRODINGER EQUATIONS

摘要

In this paper, we deduce high-order error bounds for exponential operator splitting methods. The employed techniques are specific to linear differential equations of the form u'(t) = A u(t) B u(t), t ≥ 0, involving an unbounded operator A. In particular, evolutionary Schrodinger equations with sufficiently regular initial values are included in the analysis.