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arXiv 2202.00283math.NAcs.NA
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具有局部能量守恒律的指数拟合方法

Exponentially fitted methods with a local energy conservation law

Dajana Conte, Gianluca Frasca-Caccia

摘要:

本文提出了一种新的指数拟合离散变分导数方法,有效解振动复Hamilton偏微分方程。当应用于非线性薛定谔方程时,新格式具有离散的电荷和能量守恒律。新的方法进行了比较与其他保守计划从文献上的基准问题,其解决方案是一个振荡呼吸波。

英文摘要:

A new exponentially fitted version of the Discrete Variational Derivative method for the efficient solution of oscillatory complex Hamiltonian Partial Differential Equations is proposed. When applied to the nonlinear Schroedinger equation, the new scheme has discrete conservation laws of charge and energy. The new method is compared with other conservative schemes from the literature on a benchmark problem whose solution is an oscillatory breather wave.

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。

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