PhD Student in Applied Math
Courant Institute, NYU
Research Interests
I work with Dr. Mike O'Neil on fast integral equation solvers for wave scattering problems with applications in electromagnetic and acoustic phenomena. Recent projects have spanned the Lippmann-Schwinger equation, Helmholtz, Maxwell's, and currently the wave equation with a specific form of attenuation. I write my research code in Julia and most algorithms I work on have an fft-based flavor.
Current Project
A solution of the attenuated wave equation,
$$u_{tt}-u_{xx}+2\sqrt{2}\alpha_0\partial_t^{3/2}u+2\alpha_0^2u_t=0,$$
with Gaussian initial data.
Publications
An artificially-damped Fourier method for dispersive evolution equations
Applied Numerical Mathematics (2023)
arXiv:2301.05789
Applied Numerical Mathematics (2023)
arXiv:2301.05789
Contact
Email: anneliu@nyu.edu
Links: GitHub