From the 1 of 6 linked papers with an AI index.
6 papers
Sharp Broken-Power Lorentz Estimates for Fractional Powers of Radial Schrödinger Operators with Inverse-Square Asymptotics
Haochen Liu, Qinghao Yu, Hongyan Zhou
The paper derives sharp two‑sided estimates for the kernel of fractional powers of radial Schrödinger operators with inverse‑square type potentials, and provides a complete classif…
Sharp and Endpoint Two-Weight Fractional Integral Estimates for Schr"odinger Operators with Inverse-Square Potentials
Haochen Liu, Qinghao Yu, Hongyan Zhou
Let be the Friedrichs extension on , where and lies in the attractive Hardy range. Starting from the known posit…
A High-Order Nyström Method for Coupled Boundary Integral Equations in Oblique-Incidence Scattering by Impedance Cylinders
Haochen Liu, Qinghao Yu
We study the numerical solution of electromagnetic scattering by an infinitely long impedance cylinder under oblique incidence. After separation of the axial phase factor, the axia…
A finite-element Delta-Sternheimer approach for computing accurate all-electron RPA correlation energies of polyatomic molecules
Hao Peng, Haochen Liu, Chuhao Li +2
Attaining a reliable complete basis set (CBS) limit remains a significant challenge in ab initio correlated electronic-structure calculations. Building on our previous work for ato…
Continuous Finite Element Method For Maxwell Eigenvalue Problems With Regular Decomposition Technique
Feiyi Liao, Haochen Liu, Hehu Xie
With the regular decomposition technique, we decompose the space into the sum of a vector potential space and the gradient of a scalar space, bo…
PASE: A Massively Parallel Augmented Subspace Eigensolver for Large Scale Eigenvalue Problems
Yangfei Liao, Haochen Liu, Hehu Xie +1
In this paper, we present a novel parallel augmented subspace method and build a package Parallel Augmented Subspace Eigensolver (PASE) for solving large scale eigenvalue problems…