论文标题
Maxwell方程的Hermite-Taylor校正函数
The Hermite-Taylor Correction Function Method for Maxwell's Equations
论文作者
论文摘要
Goodrich，Hagstrom和Lorenz于2005年推出的Hermite-Taylor方法在周期域上的线性双曲系统应用于线性双曲系统时，效率高，准确。不幸的是，由于缺乏实施边界条件的系统方法，它的广泛使用已被阻止。在本文中，我们介绍了Hermite-Taylor校正函数方法，该方法为递交边界条件提供了这种系统的方法。在这里，我们专注于麦克斯韦的方程式，但请注意，该方法很容易扩展到其他双曲线问题。
The Hermite-Taylor method, introduced in 2005 by Goodrich, Hagstrom and Lorenz, is highly efficient and accurate when applied to linear hyperbolic systems on periodic domains. Unfortunately its widespread use has been prevented by the lack of a systematic approach to implementing boundary conditions. In this paper we present the Hermite-Taylor Correction Function method, which provides exactly such a systematic approach for handing boundary conditions. Here we focus on Maxwell's equations but note that the method is easily extended to other hyperbolic problems.
