PURE and APPLIED

ALEX BARNETT , CHARLES L EPSTEIN , LESLIE GREENGARD , SHIDONG JIANG

1
2015
2
2006
Fast integral equation methods for linear and semilinear heat equations in moving domains

Shidong Jiang , Shravan K. Veerapaneni , Leslie Greengard , Jun Wang
arXiv: Numerical Analysis

12
2019
Explicit unconditionally stable methods for the heat equation via potential theory

Charles L. Epstein , Shidong Jiang , Alex Barnett , Leslie Greengard
Pure and Applied Analysis 1 ( 4) 709 -742

3
2019
Efficient dynamic simulations of charged dielectric colloids through a novel hybrid method

Zecheng Gan , Ziwei Wang , Shidong Jiang , Zhenli Xu
Journal of Chemical Physics 151 ( 2) 024112

3
2019
Efficient representation of nonreflecting boundary conditions for the time-dependent Schrödinger equation in two dimensions

Shidong Jiang , Leslie Greengard
Communications on Pure and Applied Mathematics 61 ( 2) 261 -288

55
2008
Second kind integral equations for the classical potential theory on open surfaces II

Shidong Jiang , Vladimir Rokhlin
Journal of Computational Physics 195 ( 1) 1 -16

44
2004
A Bootstrap Method for Sum-of-Poles Approximations

Kuan Xu , Shidong Jiang
Journal of Scientific Computing 55 ( 1) 16 -39

23
2013
Fast evaluation of nonreflecting boundary conditions for the Schrödinger equation in one dimension

Shidong Jiang , L Greengard
Computers & Mathematics with Applications 47 ( 6-7) 955 -966

100
2004
A New Mixed Potential Representation for Unsteady, Incompressible Flow

Leslie Greengard , Shidong Jiang
Siam Review 61 ( 3) 733 -755

1
2019
Simulation of Multiscale Hydrophobic Lipid Dynamics via Efficient Integral Equation Methods

Szu-Pei P. Fu , Rolf Ryham , Andreas Klöckner , Matt Wala
Multiscale Modeling & Simulation 18 ( 1) 79 -103

1
2020
11
2018
The Anisotropic Truncated Kernel Method for Convolution with Free-Space Green's Functions

Leslie Greengard , Shidong Jiang , Yong Zhang
SIAM Journal on Scientific Computing 40 ( 6)

7
2018
Second kind integral equation formulation for the modified biharmonic equation and its applications

Shidong Jiang , Mary Catherine A. Kropinski , Bryan D. Quaife
Journal of Computational Physics 249 113 -126

9
2013
Incorporating the Havriliak-Negami dielectric model in the FD-TD method

Matthew F. Causley , Peter G. Petropoulos , Shidong Jiang
Journal of Computational Physics 230 ( 10) 3884 -3899

22
2011
Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions

Shidong Jiang , Bo Ren , Paul Tsuji , Lexing Ying
Journal of Computational Physics 230 ( 19) 7488 -7501

12
2011
A fast multipole method for the Rotne-Prager-Yamakawa tensor and its applications

Zhi Liang , Zydrunas Gimbutas , Leslie Greengard , Jingfang Huang
Journal of Computational Physics 234 ( 1) 133 -139

35
2013