4 citations · 11 across the 6 of their papers we have counts for
5 papers · 1 filter
Gauge-invariant frozen Gaussian approximation method for the Schrödinger equation with periodic potentials
Ricardo Delgadillo, Jianfeng Lu, Xu Yang
We develop a gauge-invariant frozen Gaussian approximation (GIFGA) method for the linear Schrödinger equation (LSE) with periodic potentials in the semiclassical regime. The method…
Frozen Gaussian approximation for high frequency wave propagation in periodic media
Ricardo Delgadillo, Jianfeng Lu, Xu Yang
Propagation of high-frequency wave in periodic media is a challenging problem due to the existence of multiscale characterized by short wavelength, small lattice constant and large…
Convergence of frozen Gaussian approximation for high frequency wave propagation
Jianfeng Lu, Xu Yang
The frozen Gaussian approximation provides a highly efficient computational method for high frequency wave propagation. The derivation of the method is based on asymptotic analysis…
Frozen Gaussian approximation for general linear strictly hyperbolic system: formulation and Eulerian methods
Jianfeng Lu, Xu Yang
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 developmen…
Frozen Gaussian approximation for high frequency wave propagation
Jianfeng Lu, Xu Yang
We propose the frozen Gaussian approximation for computation of high frequency wave propagation. This method approximates the solution to the wave equation by an integral represent…