High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations
High-Order Exponential Operator Splitting Methods for Time-Dependent Schrödinger Equations
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DOI：
10.1137/060674636
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发表时间：
2008-04
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影响因子：
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通讯作者：
M. Thalhammer
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文献类型：
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作者：
M. Thalhammer
本文给出了指数算子分裂方法的高阶误差界。所采用的技术是特定的线性微分方程的形式$u '（t）= A \，u（t）+ B \，u（t）$，$t \geq 0$，涉及一个无界算子$A$。特别是，充分经常的初始值的演化薛定谔方程包括在分析中。
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 $u'(t) = A \, u(t) + B \, u(t)$, $t \geq 0$, involving an unbounded operator $A$. In particular, evolutionary Schrodinger equations with sufficiently regular initial values are included in the analysis.