Incorporating the Havriliak-Negami dielectric model in the FD-TD method. - Matthew F. Causley; Peter G. Petropoulos; Shidong Jiang (J. Comput. Phys., 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 (J. Comput. Phys., 2011)

Integral Equation Methods for Unsteady Stokes Flow in Two Dimensions. - Shidong Jiang; Shravan K. Veerapaneni; Leslie Greengard (SIAM J. Sci. Comput., 2012)

Second kind integral equation formulation for the modified biharmonic equation and its applications. - Shidong Jiang; Mary Catherine A. Kropinski; Bryan D. Quaife (J. Comput. Phys., 2013)

A fast multipole method for the Rotne-Prager-Yamakawa tensor and its applications. - Zhi Liang; Zydrunas Gimbutas; Leslie Greengard; Jingfang Huang; Shidong Jiang (J. Comput. Phys., 2013)

A Bootstrap Method for Sum-of-Poles Approximations. - Kuan Xu; Shidong Jiang (J. Sci. Comput., 2013)

A fast algorithm for Brownian dynamics simulation with hydrodynamic interactions. - Shidong Jiang; Zhi Liang; Jingfang Huang (Math. Comput., 2013)

The solution of the scalar wave equation in the exterior of a sphere. - Leslie Greengard; Thomas M. Hagstrom; Shidong Jiang (J. Comput. Phys., 2014)

Fast and Accurate Evaluation of Nonlocal Coulomb and Dipole-Dipole Interactions via the Nonuniform FFT. - Shidong Jiang; Leslie Greengard; Weizhu Bao (SIAM J. Sci. Comput., 2014)

Efficient sum-of-exponentials approximations for the heat kernel and their applications. - Shidong Jiang; Leslie Greengard; Shaobo Wang (Adv. Comput. Math., 2015)

Computing the ground state and dynamics of the nonlinear Schrödinger equation with nonlocal interactions via the nonuniform FFT. - Weizhu Bao; Shidong Jiang; Qinglin Tang; Yong Zhang 005 (J. Comput. Phys., 2015)

Extension of the Lorenz-Mie-Debye method for electromagnetic scattering to the time-domain. - Leslie Greengard; Thomas M. Hagstrom; Shidong Jiang (J. Comput. Phys., 2015)

Analysis and accurate numerical solutions of the integral equation derived from the linearized BGKW equation for the steady Couette flow. - Shidong Jiang; Li-Shi Luo (J. Comput. Phys., 2016)

A Hybrid Method for Systems of Closely Spaced Dielectric Spheres and Ions. - Zecheng Gan; Shidong Jiang; Erik Luijten; Zhenli Xu (SIAM J. Sci. Comput., 2016)

An Efficient High Order Method for Dislocation Climb in Two Dimensions. - Shidong Jiang; Manas Rachh; Yang Xiang 002 (Multiscale Model. Simul., 2017)

An Efficient Boundary Integral Scheme for the MBO Threshold Dynamics Method via the NUFFT. - Shidong Jiang; Dong Wang 008; Xiao-Ping Wang 002 (J. Sci. Comput., 2018)

Numerical solution to a linearized time fractional KdV equation on unbounded domains. - Qian Zhang 050; Jiwei Zhang 002; Shidong Jiang; Zhimin Zhang 002 (Math. Comput., 2018)

The Anisotropic Truncated Kernel Method for Convolution with Free-Space Green's Functions. - Leslie Greengard; Shidong Jiang; Yong Zhang 005 (SIAM J. Sci. Comput., 2018)

On Integral Equation Methods for the First Dirichlet Problem of the Biharmonic and Modified Biharmonic Equations in NonSmooth Domains. - Johan Helsing; Shidong Jiang (SIAM J. Sci. Comput., 2018)

A fast Gauss transform in one dimension using sum-of-exponentials approximations. - Shidong Jiang (CoRR, 2019)

Fast integral equation methods for linear and semilinear heat equations in moving domains. - Jun Wang 082; Leslie Greengard; Shidong Jiang; Shravan K. Veerapaneni (CoRR, 2019)

Fast High-Order Integral Equation Methods for Solving Boundary Value Problems of Two Dimensional Heat Equation in Complex Geometry. - Shaobo Wang; Shidong Jiang; Jing Wang (J. Sci. Comput., 2019)

An Efficient Boundary Integral Scheme for the Threshold Dynamics Method II: Applications to Wetting Dynamics. - Dong Wang 008; Shidong Jiang; Xiao-Ping Wang 002 (J. Sci. Comput., 2019)

A New Mixed Potential Representation for Unsteady, Incompressible Flow. - Leslie Greengard; Shidong Jiang (SIAM Rev., 2019)

On the accurate evaluation of unsteady Stokes layer potentials in moving two-dimensional geometries. - Leslie Greengard; Shidong Jiang; Jun Wang 082 (Adv. Comput. Math., 2020)

Evaluation of Abramowitz functions in the right half of the complex plane. - Zydrunas Gimbutas; Shidong Jiang; Li-Shi Luo (J. Comput. Phys., 2020)

An integral equation method for the Cahn-Hilliard equation in the wetting problem. - Xiaoyu Wei; Shidong Jiang; Andreas Klöckner; Xiao-Ping Wang 002 (J. Comput. Phys., 2020)

Simulation of Multiscale Hydrophobic Lipid Dynamics via Efficient Integral Equation Methods. - Szu-Pei Fu; Rolf Ryham; Andreas Klöckner; Matt Wala; Shidong Jiang; Yuan-Nan Young (Multiscale Model. Simul., 2020)

Periodic Fast Multipole Method. - Ruqi Pei; Travis Askham; Leslie Greengard; Shidong Jiang (CoRR, 2021)

On Time-Domain NRBC for Maxwell's Equations and Its Application in Accurate Simulation of Electromagnetic Invisibility Cloaks. - Bo Wang 103; Zhiguo Yang; Li-Lian Wang; Shidong Jiang (J. Sci. Comput., 2021)

A stable, efficient scheme for Cn function extensions on smooth domains in Rd. - Charles L. Epstein; Shidong Jiang (CoRR, 2022)

Solving Fredholm second-kind integral equations with singular right-hand sides on non-smooth boundaries. - Johan Helsing; Shidong Jiang (J. Comput. Phys., 2022)

A Dual-space Multilevel Kernel-splitting Framework for Discrete and Continuous Convolution. - Leslie Greengard; Shidong Jiang (CoRR, 2023)

A fast method for imposing periodic boundary conditions on arbitrarily-shaped lattices in two dimensions. - Ruqi Pei; Travis Askham; Leslie Greengard; Shidong Jiang (J. Comput. Phys., 2023)

Coordinate complexification for the Helmholtz equation with Dirichlet boundary conditions in a perturbed half-space. - Charles L. Epstein; Leslie Greengard; Jeremy G. Hoskins; Shidong Jiang; Manas Rachh (CoRR, 2024)

A Lightweight, Geometrically Flexible Fast Algorithm for the Evaluation of Layer and Volume Potentials. - Fredrik Fryklund; Leslie Greengard; Shidong Jiang; Samuel Potter (CoRR, 2024)

Recursive reduction quadrature for the evaluation of Laplace layer potentials in three dimensions. - Shidong Jiang; Hai Zhu (CoRR, 2024)

A fast spectral sum-of-Gaussians method for electrostatic summation in quasi-2D systems. - Xuanzhao Gao; Shidong Jiang; Jiuyang Liang; Zhenli Xu; Qi Zhou (CoRR, 2024)

Compressing the memory variables in constant-Q viscoelastic wave propagation via an improved sum-of-exponentials approximation. - Xu Guo; Shidong Jiang; Yunfeng Xiong; Jiwei Zhang 002 (J. Comput. Phys., 2024)

A New Version of the Adaptive Fast Gauss Transform for Discrete and Continuous Sources. - Leslie F. Greengard; Shidong Jiang; Manas Rachh; Jun Wang 082 (SIAM Rev., 2024)

The Helmholtz Dirichlet and Neumann problems on piecewise smooth open curves. - Johan Helsing; Shidong Jiang (J. Comput. Phys., 2025)

An Accurate and Efficient Scheme for Function Extension on Smooth Domains. - Charles L. Epstein; Fredrik Fryklund; Shidong Jiang (SIAM J. Numer. Anal., 2025)

Accelerating Fast Ewald Summation with Prolates for Molecular Dynamics Simulations. - Jiuyang Liang; Libin Lu; Alex H. Barnett; Leslie Greengard; Shidong Jiang (CoRR, 2025)