具有改进频率容限的薛定谔方程高阶相位拟合多步积分器
High Order Phase Fitted Multistep Integrators for the Schrödinger Equation with Improved Frequency Tolerance
AI总结：
本文提出了一族新的14步线性多步法用于薛定谔方程积分，通过消除相位滞后函数在拟合频率处的一阶导数以增强频率容限，并通过误差分析和数值应用证明了其效率。
摘要：
在这项工作中，我们引入了一族新的14步线性多步法，用于薛定谔方程的积分。新方法是相位拟合的，但旨在提高频率容限。这是通过消除相位滞后函数在拟合频率处的一阶导数来实现的，迫使相位滞后函数在拟合频率附近足够“平坦”。通过误差分析和数值应用证明了新方法族的效率。
英文摘要：
In this work we introduce a new family of 14-steps linear multistep methods for the integration of the Schrödinger equation. The new methods are phase fitted but they are designed in order to improve the frequency tolerance. This is achieved by eliminating the first derivatives of the phase lag function at the fitted frequency forcing the phase lag function to be '\textit{flat}' enough in the neighbor of the fitted frequency. The efficiency of the new family of methods is proved via error analysis and numerical applications.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
