28 citations · 154 across the 37 of their papers we have counts for
7 papers · 1 filter
A deep learning based reduced order modeling for stochastic underground flow problems
Yiran Wang, Eric Chung, Shubin Fu
In this paper, we propose a deep learning based reduced order modeling method for stochastic underground flow problems in highly heterogeneous media. We aim to utilize supervised l…
Existence of resonances for Schrodinger operators on hyperbolic space
David Borthwick, Yiran Wang
We prove existence results and lower bounds for the resonances of Schrödinger operators associated to smooth, compactly support potentials on hyperbolic space. The results are deri…
Some integral geometry problems for wave equations
Yiran Wang
We consider the Cauchy problem and the source problem for normally hyperbolic operators on the Minkowski spacetime, and study the determination of solutions from their integrals al…
Inverse Problem of Nonlinear Schrödinger Equation as Learning of Convolutional Neural Network
Yiran Wang, Zhen Li
In this work, we use an explainable convolutional neural network (NLS-Net) to solve an inverse problem of the nonlinear Schrödinger equation, which is widely used in fiber-optic co…
A local-global generalized multiscale finite element method for highly heterogeneous stochastic groundwater flow problems
Yiran Wang, Eric Chung, Shubin Fu
In this paper, we propose a local-global multiscale method for highly heterogeneous stochastic groundwater flow problems under the framework of reduced basis method and the general…
Microlocal analysis of the light ray transform on globally hyperbolic Lorentzian manifolds
Yiran Wang
For the light ray transform on globally hyperbolic Lorentzian manifolds of dimension acting on compactly supported distributions, we show that the Schwartz kernel of t…
The anisotropic Calderón problem for high fixed frequency
Gunther Uhlmann, Yiran Wang
We consider Schrödinger operators at a fixed high frequency on simply connected compact Riemannian manifolds with non-positive sectional curvatures and smooth strictly convex bound…