217 citations · 627 across the 18 of their papers we have counts for
8 papers · 1 filter
A fast time domain solver for the equilibrium Dyson equation
Jason Kaye, Hugo U. R. Strand
We consider the numerical solution of the real time equilibrium Dyson equation, which is used in calculations of the dynamical properties of quantum many-body systems. We show that…
A fast, high-order numerical method for the simulation of single-excitation states in quantum optics
Jeremy Hoskins, Jason Kaye, Manas Rachh +1
We consider the numerical solution of a nonlocal partial differential equation which models the process of collective spontaneous emission in a two-level atomic system containing a…
Discrete Lehmann representation of imaginary time Green's functions
Jason Kaye, Kun Chen, Olivier Parcollet
We present an efficient basis for imaginary time Green's functions based on a low rank decomposition of the spectral Lehmann representation. The basis functions are simply a set of…
A high-order integral equation-based solver for the time-dependent Schrodinger equation
Jason Kaye, Alex Barnett, Leslie Greengard
We introduce a numerical method for the solution of the time-dependent Schrodinger equation with a smooth potential, based on its reformulation as a Volterra integral equation. We…
A fast solver for the narrow capture and narrow escape problems in the sphere
Jason Kaye, Leslie Greengard
We present an efficient method to solve the narrow capture and narrow escape problems for the sphere. The narrow capture problem models the equilibrium behavior of a Brownian parti…
Transparent Boundary Conditions for the Time-Dependent Schrödinger Equation with a Vector Potential
Jason Kaye, Leslie Greengard
We consider the problem of constructing transparent boundary conditions for the time-dependent Schrödinger equation with a compactly supported binding potential and, if desired, a…
Gaussian-Like Immersed Boundary Kernels with Three Continuous Derivatives and Improved Translational Invariance
Yuanxun Bao, Alexander D. Kaiser, Jason Kaye +1
The immersed boundary (IB) method is a general mathematical framework for studying problems involving fluid-structure interactions in which an elastic structure is immersed in a vi…
A posteriori error estimator for adaptive local basis functions to solve Kohn-Sham density functional theory
Jason Kaye, Lin Lin, Chao Yang
Kohn-Sham density functional theory is one of the most widely used electronic structure theories. The recently developed adaptive local basis functions form an accurate and systema…