31 citations · 138 across the 19 of their papers we have counts for
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math.NA2015★ 2 cited
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…
math.NA2015★ 3 cited
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…