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20122020
most citedAdaptive Finite Element Method for fractional differential equations using Hierarchical Matrices

81 citations · 236 across the 19 of their papers we have counts for

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Showing 2015Show all

5 papers · 1 filter

math.NA2015★ 13 cited

Accurate and Efficient Nystrom Volume Integral Equation Method for the Maxwell equations for Multiple 3-D Scatterers

Duan Chen, Wei Cai, Brian Zinser +1

In this paper, we develop an accurate and efficient Nyström volume integral equation (VIE) method for the Maxwell equations for large number of 3-D scatterers. The Cauchy Principal…

q-bio.BM2015★ 7 cited

Investigating the Selectivity of KcsA Channel by an Image Charge Solvation Method (ICSM) in Molecular Dynamics Simulations

Katherine Baker, Duan Chen, Wei Cai

In this paper, we study the selectivity of the potassium channel KcsA by a recently developed image-charge solvation method(ICSM) combined with molecular dynamics simulations. The…

math.NA2015

Highly Accurate Nyström Volume Integral Equation Method for the Maxwell equations for 3-D Scatters

Duan Chen, Wei Cai, Brian Zinser

In this paper, we develop highly accurate Nyström methods for the volume integral equation (VIE) of the Maxwell equation for 3-D scatters. The method is based on a formulation of t…

math.NA2015

Numerical Solution of the Robin Problem of Laplace Equations with a Feynman-Kac Formula and Reflecting Brownian Motions

Yijing Zhou, Wei Cai

In this paper, we present numerical methods to implement the probabilistic representation of third kind (Robin) boundary problem for the Laplace equations. The solution is based on…

math.NA2015★ 2 cited

Computation of Local Time of Reflecting Brownian Motion and Probabilistic Representation of the Neumann Problem

Yijing Zhou, Wei Cai, Elton Hsu

In this paper, we propose numerical methods for computing the boundary local time of reflecting Brownian motion (RBM) in R3 and its use in the probabilistic representation of the s…