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Shidong Jiang
Shidong Jiang
Center for Computational Mathematics, Flatiron Institute
Verified email at flatironinstitute.org - Homepage
Title
Cited by
Cited by
Year
Fast evaluation of the Caputo fractional derivative and its applications to fractional diffusion equations
S Jiang, J Zhang, Q Zhang, Z Zhang
Communications in Computational Physics 21 (3), 650-678, 2017
4592017
Fast evaluation of nonreflecting boundary conditions for the Schrödinger equation in one dimension
S Jiang, L Greengard
Computers & Mathematics with Applications 47 (6-7), 955-966, 2004
1092004
Efficient representation of nonreflecting boundary conditions for the time‐dependent Schrödinger equation in two dimensions
S Jiang, L Greengard
Communications on Pure and Applied Mathematics: A Journal Issued by the …, 2008
742008
Second kind integral equations for the classical potential theory on open surfaces II
S Jiang, V Rokhlin
Journal of Computational Physics 195 (1), 1-16, 2004
562004
A fast multipole method for the Rotne–Prager–Yamakawa tensor and its applications
Z Liang, Z Gimbutas, L Greengard, J Huang, S Jiang
Journal of Computational Physics 234, 133-139, 2013
542013
Fast and accurate evaluation of nonlocal Coulomb and dipole-dipole interactions via the nonuniform FFT
S Jiang, L Greengard, W Bao
SIAM Journal on Scientific Computing 36 (5), B777-B794, 2014
522014
Numerical solution to a linearized time fractional KdV equation on unbounded domains
Q Zhang, J Zhang, S Jiang, Z Zhang
Mathematics of Computation 87 (310), 693-719, 2018
462018
Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT
W Bao, S Jiang, Q Tang, Y Zhang
Journal of Computational Physics 296, 72-89, 2015
362015
Efficient sum-of-exponentials approximations for the heat kernel and their applications
S Jiang, L Greengard, S Wang
Advances in Computational Mathematics 41, 529-551, 2015
332015
A hybrid method for systems of closely spaced dielectric spheres and ions
Z Gan, S Jiang, E Luijten, Z Xu
SIAM Journal on Scientific Computing 38 (3), B375-B395, 2016
322016
Analysis and accurate numerical solutions of the integral equation derived from the linearized BGKW equation for the steady Couette flow
S Jiang, LS Luo
Journal of Computational Physics 316, 416-434, 2016
312016
A bootstrap method for sum-of-poles approximations
K Xu, S Jiang
Journal of Scientific Computing 55, 16-39, 2013
302013
Incorporating the Havriliak–Negami dielectric model in the FD-TD method
MF Causley, PG Petropoulos, S Jiang
Journal of Computational Physics 230 (10), 3884-3899, 2011
282011
Fast evaluation of the nonreflecting boundary conditions for the Schrödinger equation
S Jiang
New York University, 2001
272001
Integral equation methods for unsteady Stokes flow in two dimensions
S Jiang, S Veerapaneni, L Greengard
SIAM Journal on Scientific Computing 34 (4), A2197-A2219, 2012
232012
The anisotropic truncated kernel method for convolution with free-space Green's functions
L Greengard, S Jiang, Y Zhang
SIAM Journal on Scientific Computing 40 (6), A3733-A3754, 2018
212018
Quadruple and octuple layer potentials in two dimensions I: Analytical apparatus
P Kolm, S Jiang, V Rokhlin
Applied and Computational Harmonic Analysis 14 (1), 47-74, 2003
212003
A fast algorithm for Brownian dynamics simulation with hydrodynamic interactions
S Jiang, Z Liang, J Huang
Mathematics of Computation 82 (283), 1631-1645, 2013
202013
On integral equation methods for the first Dirichlet problem of the biharmonic and modified biharmonic equations in nonsmooth domains
J Helsing, S Jiang
SIAM Journal on Scientific Computing 40 (4), A2609-A2630, 2018
172018
The solution of the scalar wave equation in the exterior of a sphere
L Greengard, T Hagstrom, S Jiang
Journal of Computational Physics 274, 191-207, 2014
162014
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