Area of research
Atomic and Molecular Physics, and Optics · Electrical and Electronic Engineering
Research interest
Research interests include Mathematics, Discretization, Computer science, Solver, Fourier transform, and Mathematical analysis.
Differentiable Cosmological Simulation with the Adjoint Method
A fast spectral method for electrostatics in doubly periodic slit channels
Geometry of the phase retrieval problem
High-Density, Long-Lasting, and Multi-region Electrophysiological Recordings Using Polymer Electrode Arrays
A Fully Automated Approach to Spike Sorting
Fast convolution with free-space Green's functions
An integral equation formulation for rigid bodies in Stokes flow in three dimensions
Fast, Adaptive, High-Order Accurate Discretization of the Lippmann--Schwinger Equation in Two Dimensions
A new hybrid integral representation for frequency domain scattering in layered media
Fast Direct Methods for Gaussian Processes
Simple and efficient representations for the fundamental solutions of Stokes flow in a half-space
Computational Software: Simple FMM Libraries for Electrostatics, Slow Viscous Flow, and Frequency-Domain Wave Propagation
Visualizing skin effects in conductors with MRI: <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" altimg="si5.gif" overflow="scroll"><mml:mrow><mml:msup><mml:mrow/><mml:mrow><mml:mn>7</mml:mn></mml:mrow></mml:msup></mml:mrow></mml:math>Li MRI experiments and calculations
Fast and Accurate Evaluation of Nonlocal Coulomb and Dipole-Dipole Interactions via the Nonuniform FFT
A Fast Direct Solver for High Frequency Scattering from a Large Cavity in Two Dimensions
The solution of the scalar wave equation in the exterior of a sphere
On the Convergence of Local Expansions of Layer Potentials
A fast, high-order solver for the Grad–Shafranov equation
On the efficient representation of the half-space impedance Green’s function for the Helmholtz equation
A Fast Direct Solver for Structured Linear Systems by Recursive Skeletonization
Fast multi-particle scattering: A hybrid solver for the Maxwell equations in microstructured materials
A fast multipole method for the Rotne–Prager–Yamakawa tensor and its applications
Overcoming Low-Frequency Breakdown of the Magnetic Field Integral Equation