一般线性严格双曲系统的冻结高斯近似：公式与欧拉方法
Frozen Gaussian approximation for general linear strictly hyperbolic system: formulation and Eulerian methods
AI总结：
本文将冻结高斯近似推广到一般线性严格双曲系统，并开发基于冻结高斯近似的欧拉方法以解决拉格朗日方法的发散问题，同时适用于量子力学中的Herman-Kluk传播子。
摘要：
冻结高斯近似，由[Lu和Yang, [15]]提出，是一种用于高频波传播的高效计算工具。本文继续发展冻结高斯近似。将冻结高斯近似推广到一般线性严格双曲系统。开发了基于冻结高斯近似的欧拉方法，以克服拉格朗日方法的发散问题。所提出的欧拉方法也可用于量子力学中的Herman-Kluk传播子。数值算例验证了所提方法的性能。
英文摘要：
The frozen Gaussian approximation, proposed in [Lu and Yang, [15]], is an efficient computational tool for high frequency wave propagation. We continue in this paper the development of frozen Gaussian approximation. The frozen Gaussian approximation is extended to general linear strictly hyperbolic systems. Eulerian methods based on frozen Gaussian approximation are developed to overcome the divergence problem of Lagrangian methods. The proposed Eulerian methods can also be used for the Herman-Kluk propagator in quantum mechanics. Numerical examples verify the performance of the proposed methods.
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