3 citations · 6 across the 3 of their papers we have counts for
3 papers
math.NA2021★ 1 cited
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…
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…