论文标题
与当地能源保护法的指数拟合方法
Exponentially fitted methods with a local energy conservation law
论文作者
论文摘要
提出了一种新的指数拟合的版本，用于振荡性复杂的汉密尔顿局部微分方程的有效解决方案的离散变分衍生物方法。当应用于非线性Schroedinger方程时，新方案具有离散的电荷和能源保护定律。将新方法与有关基准问题的文献中的其他保守方案进行了比较，该基准问题是振荡性的呼吸波。
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.
