18 citations · 26 across the 8 of their papers we have counts for
8 papers
Method of Fundamental Solutions for Maxwell's Equations in Bi-Periodic Multilayered Media
Jared Weed, Bowei Wu, Jingfang Huang +1
In this paper, we present an accurate numerical method for the time-harmonic Maxwell's equations for bi-periodic multilayered media with quasi-periodic incident waves using the Met…
Quadrature by Two Expansions for Evaluating Helmholtz Layer Potentials
Jared Weed, Lingyun Ding, Jingfang Huang +1
In this paper, a Quadrature by Two Expansions (QB2X) numerical integration technique is developed for the single and double layer potentials of the Helmholtz equation in two dimens…
Quadrature by Two Expansions: Evaluating Laplace Layer Potentials using Complex Polynomial and Plane Wave Expansions
Lingyun Ding, Jingfang Huang, Jeremy L. Marzuola
The recently developed quadrature by expansion (QBX) technique accurately evaluates the layer potentials with singular, weakly or nearly singular, or even hyper singular kernels in…
Adapting free-space fast multipole method for layered media Green's function: algorithm and analysis
Min Hyung Cho, Jingfang Huang
In this paper, we present a numerical algorithm for the accurate and efficient computation of the convolution of the frequency domain layered media Green's function with a given de…
O(N) Hierarchical algorithm for computing the expectations of truncated multi-variate normal distributions in N dimensions
Jingfang Huang, Fuhui Fang, George Turkiyyah +3
In this paper, we study the -dimensional integral representing the expectation of a function where is the t…
Hierarchical Orthogonal Matrix Generation and Matrix-Vector Multiplications in Rigid Body Simulations
Fuhui Fang, Jingfang Huang, Gary Huber +2
In this paper, we apply the hierarchical modeling technique and study some numerical linear algebra problems arising from the Brownian dynamics simulations of biomolecular systems…
A Heterogeneous FMM for 2-D Layered Media Helmholtz Equation I: Two & Three Layers Cases
Min Hyung Cho, Jingfang Huang, Dangxing Chen +1
In this paper, we will introduce a new heterogeneous fast multipole method (H-FMM) for 2-D Helmholtz equation in layered media. To illustrate the main algorithm ideas, we focus on…
Integral Representations for Elliptic Functions
A. Dienstfrey, J. Huang
We derive new integral representations for objects arising in the classical theory of elliptic functions: the Eisenstein series , and Weierstrass' and functions. The…