Shidong Jiang

发表

The Anisotropic Truncated Kernel Method for Convolution with Free-Space Green's Functions

Yong Zhang, Leslie Greengard, Shidong Jiang, 2018, SIAM J. Sci. Comput..

Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT

Weizhu Bao, Shidong Jiang, Qinglin Tang, 2014, J. Comput. Phys..

Fast integral equation methods for linear and semilinear heat equations in moving domains pdf

Leslie Greengard, Shidong Jiang, Jun Wang, 2019, ArXiv.

Integral Equation Methods for Unsteady Stokes Flow in Two Dimensions

Leslie Greengard, Shidong Jiang, Shravan K. Veerapaneni, 2012, SIAM J. Sci. Comput..

Extension of the Lorenz-Mie-Debye method for electromagnetic scattering to the time-domain

Leslie Greengard, Thomas Hagstrom, Shidong Jiang, 2015, J. Comput. Phys..

A Bootstrap Method for Sum-of-Poles Approximations

Shidong Jiang, Kuan Xu, Shidong Jiang, 2012, Journal of Scientific Computing.

An Efficient Boundary Integral Scheme for the MBO Threshold Dynamics Method via the NUFFT

Dong Wang, Shidong Jiang, Xiao-Ping Wang, 2017, Journal of Scientific Computing.

On Integral Equation Methods for the First Dirichlet Problem of the Biharmonic and Modified Biharmonic Equations in NonSmooth Domains

Shidong Jiang, Johan Helsing, 2018, SIAM J. Sci. Comput..

An Efficient Boundary Integral Scheme for the Threshold Dynamics Method II: Applications to Wetting Dynamics

Shidong Jiang, Dong Wang, Xiao-Ping Wang, 2019, Journal of Scientific Computing.

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

Bryan D. Quaife, Mary Catherine A. Kropinski, Shidong Jiang, 2013, J. Comput. Phys..

On Time-Domain NRBC for Maxwell’s Equations and Its Application in Accurate Simulation of Electromagnetic Invisibility Cloaks

Shidong Jiang, Bo Wang, Zhiguo Yang, 2020, Journal of Scientific Computing.

Fast High-Order Integral Equation Methods for Solving Boundary Value Problems of Two Dimensional Heat Equation in Complex Geometry

Jing Wang, Shidong Jiang, Shaobo Wang, 2018, J. Sci. Comput..

A fast algorithm for Brownian dynamics simulation with hydrodynamic interactions

Jingfang Huang, Shidong Jiang, Zhi Liang, 2013, Math. Comput..

Efficient sum-of-exponentials approximations for the heat kernel and their applications

Leslie Greengard, Shidong Jiang, Shaobo Wang, 2014, Advances in Computational Mathematics.

A fast Gauss transform in one dimension using sum-of-exponentials approximations pdf

Shidong Jiang, Shidong Jiang, 2019, ArXiv.

A New Mixed Potential Representation for Unsteady, Incompressible Flow

Leslie Greengard, Shidong Jiang, 2019, SIAM Rev..

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

Matthew F. Causley, Shidong Jiang, Peter G. Petropoulos, 2011, J. Comput. Phys..

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

Zydrunas Gimbutas, Leslie Greengard, Jingfang Huang, 2013, J. Comput. Phys..

Fast and Accurate Evaluation of Nonlocal Coulomb and Dipole-Dipole Interactions via the Nonuniform FFT

Leslie Greengard, Weizhu Bao, Shidong Jiang, 2013, SIAM J. Sci. Comput..

The solution of the scalar wave equation in the exterior of a sphere

Leslie Greengard, Thomas Hagstrom, Shidong Jiang, 2013, J. Comput. Phys..

A Hybrid Method for Systems of Closely Spaced Dielectric Spheres and Ions

Shidong Jiang, Erik Luijten, Zhenli Xu, 2016, SIAM J. Sci. Comput..

semidefinite programming approach to electronic structure

Michael L. Overton, Jerome K. Percus, Shidong Jiang, 1999 .

Evaluation of Abramowitz functions in the right half of the complex plane

Zydrunas Gimbutas, Li-Shi Luo, Shidong Jiang, 2019, J. Comput. Phys..

An Efficient High Order Method for Dislocation Climb in Two Dimensions

Yang Xiang, Shidong Jiang, Manas Rachh, 2017, Multiscale Model. Simul..

Finite-Element Method Solution of Non-Fickian Transport in Porous Media: The CTRW-FEM Package.

Shidong Jiang, Brian Berkowitz, Harvey Scher, 2019, Ground water.

An Integral Equation Method for the Cahn-Hilliard Equation in the Wetting Problem

Shidong Jiang, Xiao-Ping Wang, Andreas Klöckner, 2020, J. Comput. Phys..

Analysis and accurate numerical solutions of the integral equation derived from the linearized BGKW equation for the steady Couette flow

Li-Shi Luo, Shidong Jiang, Shidong Jiang, 2016, J. Comput. Phys..

On the accurate evaluation of unsteady Stokes layer potentials in moving two-dimensional geometries

Leslie Greengard, Jun Wang, Shidong Jiang, 2018, Adv. Comput. Math..

Numerical solution to a linearized time fractional KdV equation on unbounded domains

Zhimin Zhang, Jiwei Zhang, Shidong Jiang, 2017, Math. Comput..

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

Bo Ren, Lexing Ying, Shidong Jiang, 2011, J. Comput. Phys..

Periodic Fast Multipole Method pdf

Leslie Greengard, Shidong Jiang, Travis Askham, 2021, ArXiv.

Solving Fredholm second-kind integral equations with singular right-hand sides on non-smooth boundaries

Shidong Jiang, Johan Helsing, Shidong Jiang, 2021, J. Comput. Phys..

Efficient Brownian dynamics simulation of DNA molecules with hydrodynamic interactions in linear flows.

Shidong Jiang, Shidong Jiang, Y. Young, 2015, Physical review. E, Statistical, nonlinear, and soft matter physics.

Potential theory for initial-boundary value problems of unsteady Stokes flow in two dimensions

Shidong Jiang, Shidong Jiang, 2011 .

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

Leslie Greengard, Shidong Jiang, L. Greengard, 2004 .

Efficient representation of nonreflecting boundary conditions for the time‐dependent Schrödinger equation in two dimensions

Leslie Greengard, Shidong Jiang, L. Greengard, 2008 .

Jump relations of the quadruple layer potential on a regular surface in three dimensions

Shidong Jiang, 2003 .

A new mixed potential representation for the equations of unsteady, incompressible flow

Leslie Greengard, Shidong Jiang, 2018 .

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

Shidong Jiang, Vladimir Rokhlin, V. Rokhlin, 2004 .

Explicit unconditionally stable methods for the heat equation via potential theory

Charles L. Epstein, Leslie Greengard, Jun Wang, 2019, Pure and Applied Analysis.

Second Kind Integral Equation Formulation for the Mode Calculation of Optical Waveguides

Shidong Jiang, Jun Lai, Shidong Jiang, 2015, 1512.01117.

FRONTIERS IN APPLIED AND COMPUTATIONAL MATHEMATICS

Michael Siegel, Shidong Jiang, Ji Meng Loh, .