7 citations · 9 across the 5 of their papers we have counts for
5 papers
A divergence-free projection method for quasiperiodic photonic crystals in three dimensions
Zixuan Gao, Zhenli Xu, Zhiguo Yang
This paper presents a point-wise divergence-free projection method for numerical approximations of photonic quasicrystals problems. The original three-dimensional quasiperiodic Max…
Reduced projection method for photonic moiré lattices
Zixuan Gao, Zhenli Xu, Zhiguo Yang
This paper presents a reduced projection method for the solution of quasiperiodic Schrödinger eigenvalue problems for photonic moiré lattices. Using the properties of the Schröding…
Pythagoras Superposition Principle for Localized Eigenstates of 2D Moiré Lattices
Zixuan Gao, Zhenli Xu, Zhiguo Yang +1
Moiré lattices are aperiodic systems formed by a superposition of two periodic lattices with a relative rotational angle. In optics, the photonic moiré lattice has many appealing p…
A Kernel-Independent Sum-of-Exponentials Method
Zixuan Gao, Jiuyang Liang, Zhenli Xu
We propose an accurate algorithm for a novel sum-of-exponentials (SOE) approximation of kernel functions, and develop a fast algorithm for convolution quadrature based on the SOE,…
A kernel-independent sum-of-Gaussians method by de la Vallée-Poussin sums
Jiuyang Liang, Zixuan Gao, Zhenli Xu
Approximation of interacting kernels by sum of Gaussians (SOG) is frequently required in many applications of scientific and engineering computing in order to construct efficient a…