Search Results - "Deng, Shaozhong"

Eulerian Algorithms for Computing the Forward Finite Time Lyapunov Exponent Without Finite Difference upon the Flow Map by Guoqiao You, Guoqiao You, Changfeng Xue, Changfeng Xue, Shaozhong Deng, Shaozhong Deng

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Extending the fast multipole method to charges inside or outside a dielectric sphere by Cai, Wei, Deng, Shaozhong, Jacobs, Donald

“…In this paper, we propose a novel method to extend the fast multipole method (FMM) to calculate the electrostatic potential due to charges inside or outside a…”
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Green’s function and image system for the Laplace operator in the prolate spheroidal geometry by Xue, Changfeng, Deng, Shaozhong

“…In the present paper, electrostatic image theory is studied for Green’s function for the Laplace operator in the case where the fundamental domain is either…”
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Coulomb Green’s function and image potential near a planar diffuse interface, revisited by Xue, Changfeng, Deng, Shaozhong

“…In this work, we revisit the problem of calculating the Coulomb Green’s function and the image potential near a planar diffuse interface in which the…”
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Numerical simulation of optical coupling and light propagation in coupled optical resonators with size disorder by Deng, Shaozhong

“…We use a discontinuous spectral element method for the study of optical coupling via whispering gallery modes between two size mismatched dielectric…”
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An image-based reaction field method for electrostatic interactions in molecular dynamics simulations of aqueous solutions by Lin, Yuchun, Baumketner, Andrij, Deng, Shaozhong, Xu, Zhenli, Jacobs, Donald, Cai, Wei

“…In this paper, a new solvation model is proposed for simulations of biomolecules in aqueous solutions that combines the strengths of explicit and implicit…”
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Image Theory for Neumann Functions in the Prolate Spheroidal Geometry by Xue, Changfeng, Deng, Shaozhong, Edmiston, Robert

“…Interior and exterior Neumann functions for the Laplace operator are derived in terms of prolate spheroidal harmonics with the homogeneous, constant, and…”
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Extending the fast multipole method for charges inside a dielectric sphere in an ionic solvent: High-order image approximations for reaction fields by Deng, Shaozhong, Cai, Wei

“…As a sequel to our previous paper on extending the Fast Multipole Method (FMM) for charges inside a dielectric sphere [J. Comput. Phys. 223 (2007) 846–864],…”
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Ionic solvation studied by image-charge reaction field method by Lin, Yuchun, Baumketner, Andrij, Song, Wei, Deng, Shaozhong, Jacobs, Donald, Cai, Wei

“…In a preceding paper [J. Chem. Phys. 131, 154103 (2009)], we introduced a new, hybrid explicit/implicit method to treat electrostatic interactions in computer…”
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Numerical calculation of electronic states in ellipsoidal finite-potential quantum dots with an off-centered impurity by Xue, Changfeng, Deng, Shaozhong

“…In this article, the computational procedure to calculate wave-functions and energies of spherical quantum dots with finite barriers and a shallow donor…”
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Image charge approximations of reaction fields in solvents with arbitrary ionic strength by Xu, Zhenli, Deng, Shaozhong, Cai, Wei

“…In this paper, we report a new development of image charge approximations of reaction fields for a charge inside a dielectric spherical cavity immersed in an…”
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An upwinding boundary condition capturing method for Maxwell’s equations in media with material interfaces by Xue, Changfeng, Deng, Shaozhong

“…By using ghost points on either side of the interfaces, a global second-order accurate upwinding boundary condition capturing method for time-domain Maxwell’s…”
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An ADI-Yee's scheme for Maxwell's equations with discontinuous coefficients by Deng, Shaozhong, Li, Zhilin, Pan, Kejia

“…An alternating directional implicit (ADI)-Yee's scheme is developed for Maxwell's equations with discontinuous material coefficients along one or several…”
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Unified Construction of Green’s functions for Poisson’s equation in inhomogeneous media with diffuse interfaces by Xue, Changfeng, Deng, Shaozhong

“…Green’s functions for Poisson’s equation in inhomogeneous media with material interfaces have many practical applications. In the present work, we focus on…”
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A robust numerical method for self-polarization energy of spherical quantum dots with finite confinement barriers by Deng, Shaozhong

“…By utilizing a novel three-layer dielectric model for the interface between a spherical quantum dot and the surrounding matrix, a robust numerical method for…”
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Recursive Computation of Logarithmic Derivatives, Ratios, and Products of Spheroidal Harmonics and Modified Bessel Functions and Applications by Xue, Changfeng, Deng, Shaozhong

“…Spheroidal harmonics and modified Bessel functions have wide applications in scientific and engineering computing. Recursive methods are developed to compute…”
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Image systems for the reaction field inside spheroidal dielectric objects and applications by Xue, Changfeng, Deng, Shaozhong

“…Charges inside a dielectric object embedded in a dissimilar dielectric medium polarize the surrounding medium, which in turn makes a contribution, called the…”
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Comment on “On the Neumann function and the method of images in spherical and ellipsoidal geometry” by Xue, Changfeng, Deng, Shaozhong

“…In this note, we point out two errors in the article “On the Neumann function and the method of images in spherical and ellipsoidal geometry” by Dassios and…”
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On the immersed interface method for solving time-domain Maxwell's equations in materials with curved dielectric interfaces by Deng, Shaozhong

“…This paper deals with accurate numerical simulation of two-dimensional time-domain Maxwell's equations in materials with curved dielectric interfaces. The…”
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Electrostatic potential of point charges inside dielectric prolate spheroids by Deng, Shaozhong

“…The exact solution to an electrostatic problem of finding the electric potential of point charges inside a dielectric prolate spheroid is discussed in this…”
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