3 citations · 6 across the 3 of their papers we have counts for
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Multiscale and Nonlocal Learning for PDEs using Densely Connected RNNs
Ricardo A. Delgadillo, Jingwei Hu, Haizhao Yang
Learning time-dependent partial differential equations (PDEs) that govern evolutionary observations is one of the core challenges for data-driven inference in many fields. In this…
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…