Shidong Jiang
Education
Ph.D.; New York University; Mathematics; 2001
M.S.; New York University; Physics; 1998
B.S.; Shanghai Jiaotong University; Applied Physics; 1994
M.S.; New York University; Physics; 1998
B.S.; Shanghai Jiaotong University; Applied Physics; 1994
Website
Teaching Interests
Undergraduate and graduate courses in mathematics
Past Courses
MATH 111: CALCULUS I
MATH 112: CALCULUS II
MATH 211: CALCULUS III A
MATH 211: CALCULUS IIIA
MATH 213: CALCULUS IIIB -HONORS
MATH 326: DISCRETE ANALYS FOR COE
MATH 328: MATH METHODS FOR SCI & ENGR
MATH 337: LINEAR ALGEBRA
MATH 340: APPLIED NUMERICAL METHODS
MATH 391: NUMERICAL LINEAR ALGEBRA
MATH 614: NUMERICAL METHODS I
MATH 631: LINEAR ALGEBRA
MATH 712: NUMERICAL METHODS II
MATH 713: ADVANCED SCIENTIFIC COMPUTING
MATH 725: INDEPENDENT STUDY I
MATH 767: FAST NUMERICAL ALGORITHMS
MATH 792B: PRE DOCTORAL RESEARCH
MATH 112: CALCULUS II
MATH 211: CALCULUS III A
MATH 211: CALCULUS IIIA
MATH 213: CALCULUS IIIB -HONORS
MATH 326: DISCRETE ANALYS FOR COE
MATH 328: MATH METHODS FOR SCI & ENGR
MATH 337: LINEAR ALGEBRA
MATH 340: APPLIED NUMERICAL METHODS
MATH 391: NUMERICAL LINEAR ALGEBRA
MATH 614: NUMERICAL METHODS I
MATH 631: LINEAR ALGEBRA
MATH 712: NUMERICAL METHODS II
MATH 713: ADVANCED SCIENTIFIC COMPUTING
MATH 725: INDEPENDENT STUDY I
MATH 767: FAST NUMERICAL ALGORITHMS
MATH 792B: PRE DOCTORAL RESEARCH
Research Interests
Numerical analysis, fast algorithms, integral equations, potential
theory, singular integral operators, and their applications to large
scale problems in applied physics, quantum chemistry, and engineering
Journal Article
Fu, Szu-pei, & Ryham, Rolf, & Klockner, Andreas, & Wals, Matt, & Jiang, Shidong, & Young, Yuan-Nan (2020). An Integral Equation Method and Variational Approach for Amphiphilic Lipid Dynamics. SIAM Journal of Multiscale Modeling and Simulation, 18(1), 79-103.
Zhang, Qian, & Zhang, Jiwei, & Jiang, Shidong, & Zhang, Zhimin (2018). Numerical solution to a linearized time fractional KdV equation on unbounded domains. Mathematics of Computation, 87(310), 693-719.
Lai, Jun, & Jiang, Shidong (2018). Second Kind Integral Equation Formulation for the Mode Calculation of Optical Waveguide. Applied and Computational Harmonic Analysis, 44(3), 645-664.
Ben-Zvi, Rami, & Jiang, Shidong, & Sher, Harvey, & Berkowitz, Brian (2018). Finite-Element Method Solution of Non-Fickian Transport in Porous Media: The CTRW-FEM Package. Groundwater,
Helsing, Johan, & Jiang, Shidong (2018). On Integral Equation Methods for the First Dirichlet Problem of the Biharmonic and Modified Biharmonic Equations in NonSmooth Domains. SIAM Journal on Scientific Computing, 40(4), A2609--A2630.
Zhang, Qian, & Zhang, Jiwei, & Jiang, Shidong, & Zhang, Zhimin (2018). Numerical solution to a linearized time fractional KdV equation on unbounded domains. Mathematics of Computation, 87(310), 693-719.
Lai, Jun, & Jiang, Shidong (2018). Second Kind Integral Equation Formulation for the Mode Calculation of Optical Waveguide. Applied and Computational Harmonic Analysis, 44(3), 645-664.
Ben-Zvi, Rami, & Jiang, Shidong, & Sher, Harvey, & Berkowitz, Brian (2018). Finite-Element Method Solution of Non-Fickian Transport in Porous Media: The CTRW-FEM Package. Groundwater,
Helsing, Johan, & Jiang, Shidong (2018). On Integral Equation Methods for the First Dirichlet Problem of the Biharmonic and Modified Biharmonic Equations in NonSmooth Domains. SIAM Journal on Scientific Computing, 40(4), A2609--A2630.
SHOW MORE
Greengard, Leslie, & Jiang, Shidong, & Zhang, Yong The anisotropic truncated kernel method for convolution with free-space Green's functions. SIAM Journal on Scientific Computing,
Jiang, Shidong, & Wang, Dong, & Wang, Xiao-Ping (2018). An Efficient Boundary Integral Scheme for the MBO Threshold Dynamics Method via the NUFFT. Journal of Scientific Computing, 74(1), 474-490.
Jiang, Shidong, & Zhang, Jiwei, & Zhang, Qian, & Zhang, Zhimin (2017). Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations. Communications in Computational Physics, 21(3), 650-678.
Jiang, Shidong, & Rachh, Manas, & Xiang, Yang (2017). An efficient high order method for dislocation climb in two dimensions. SIAM Journal on Multiscale Modeling and Simulation, 15(1), 235-253.
Jiang, Shidong, & Lai, Jun (2016). A Quantitative Study of the Effect of Cladding Thickness on Modal Confinement Loss in Photonic Waveguides. Optics Express, 24(22), 24872-24882.
Ben-Zvi, Rami, & Scher, Harvey, & Jiang, Shidong, & Berkowitz, Brian (2016). One-dimensional Finite Element Method Solution of a Class of Integro-Differential equations: Application to non-Fickian transport in Disordered Media. Transport in Porous Media, 115, 239-263.
Gan, Zecheng, & Jiang, Shidong, & Lutjin, Erik, & Xu, Zhenli (2016). A Hybrid Method for Systems of Closely Spaced Dielectric Spheres and Ions. SIAM Journal on Scientific Computing, 38(3), B375-B395.
Jiang, Shidong, & Luo, Li-Shi (2016). Analysis and Solutions of the Integral Equation Derived from the Linearized BGKW Equation for the Steady Couette Flow. Journal of Computational Physics, 316, 416-434.
Greengard, Leslie, & Hagstrom, Thomas, & Jiang, Shidong (2015). Extension of the Debye-Mie-Lorenz Formalism to the Time Domain. Journal of Computational Physics, 299(15), 98-105.
Bao, Weizhu, & Jiang, Shidong, & Tang, Qinglin, & Zhang, Yong (2015). Computing the Ground State and Dynamics of the Schrodinger-Poisson Equation via Nonuniform FFT. Journal of Computational Physics, 291(1), 72-89.
Jiang, Shidong, & Greengard, Leslie , & Wang, Shaobo (2015). Efficient sum-of-exponentials approximations for the heat kernel and their applications.. Advances in Computational Mathematics, 41(3), 529-551.
Fu, Szu-Pei, & Young, Yuan-Nan, & Jiang, Shidong (2015). Efficient Brownian Dynamics Simulation of DNA Molecules with Hydrodynamic Interactions in Linear Flows. Physical Review E, 91, 063008.
Greengard, Leslie, & Hagstrom, Thomas, & Jiang, Shidong (2014). The solution of the scalar wave equation in the exterior of a sphere. Journal of Computational Physics, 274, 191-207.
Jiang, Shidong, & Greengard, Leslie, & Bao, Weizhu (2014). Fast and accurate evaluation of nonlocal Coulomb and dipole-dipole interactions via the nonuniform FFT. SIAM Journal on Scientific Computing, 36(5), B777-B794.
Jiang, Shidong, & Kropinski, Mary-Catherine, & Quaife, Bryan (2013). Second Kind Integral Equation Formulation for the Modified Biharmonic Equation and its Applications. Journal of Computational Physics, 249, 113-126.
Jiang, Shidong, & Liang, Zhi, & Huang, Jingfang (2013). A fast algorithm for Brownian dynamics simulation with hydrodynamic interactions. Math of Computation, 82, 1631-1645.
Xu, Kuan, & Jiang, Shidong (2013). A Bootstrap Method for Sum-of-Poles Approximations. Journal of Scientific Computing, 55, 16-39.
Liang, Zhi , & Gimbutas, Zydrunas, & Greengard, Leslie, & Huang, Jingfang, & Jiang, Shidong (2013). A fast multipole method for the Rotne-Prager-Yamakawa tensor and its applications. Journal of Computational Physics, 234, 133-139.
Jiang, Shidong, & Veerapaneni, Shravan, & Greengard, Leslie (2012). Integral Equation Methods for Unsteady Stokes Flow in Two Dimensions. SIAM Journal on Scientific Computing, 34(4), A2197-2219.
Jiang, Shidong, & Ren, Bo, & Tsuji, Paul, & Ying, Lexing (2011). Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions. Journal of Computational Physics, 230(19), 7488-7501.
Causley, Matt, & Petropoulos, Peter, & Jiang, Shidong (2011). Incorporating the Havriliak-Negami dielectric model in the FD-TD method. Journal of Computational Physics, 230(10), 3884–3899.
Causley, Matthew, & Petropoulos, Peter, & Jiang, Shidong (2011). Incorporating the Havriliak–Negami dielectric model in the FD-TD method. Journal of Computational Physics, 230(10), 3884-3899 .
Hang, Fengbo, & Jiang, Shidong (2009). Generalized Poincare-Bertrand Formula on a Hypersurface. Applied and Computational Harmonic Analysis, 27(1), 100-116.
Jiang, Shidong, & Wang, Dong, & Wang, Xiao-Ping (2018). An Efficient Boundary Integral Scheme for the MBO Threshold Dynamics Method via the NUFFT. Journal of Scientific Computing, 74(1), 474-490.
Jiang, Shidong, & Zhang, Jiwei, & Zhang, Qian, & Zhang, Zhimin (2017). Fast Evaluation of the Caputo Fractional Derivative and its Applications to Fractional Diffusion Equations. Communications in Computational Physics, 21(3), 650-678.
Jiang, Shidong, & Rachh, Manas, & Xiang, Yang (2017). An efficient high order method for dislocation climb in two dimensions. SIAM Journal on Multiscale Modeling and Simulation, 15(1), 235-253.
Jiang, Shidong, & Lai, Jun (2016). A Quantitative Study of the Effect of Cladding Thickness on Modal Confinement Loss in Photonic Waveguides. Optics Express, 24(22), 24872-24882.
Ben-Zvi, Rami, & Scher, Harvey, & Jiang, Shidong, & Berkowitz, Brian (2016). One-dimensional Finite Element Method Solution of a Class of Integro-Differential equations: Application to non-Fickian transport in Disordered Media. Transport in Porous Media, 115, 239-263.
Gan, Zecheng, & Jiang, Shidong, & Lutjin, Erik, & Xu, Zhenli (2016). A Hybrid Method for Systems of Closely Spaced Dielectric Spheres and Ions. SIAM Journal on Scientific Computing, 38(3), B375-B395.
Jiang, Shidong, & Luo, Li-Shi (2016). Analysis and Solutions of the Integral Equation Derived from the Linearized BGKW Equation for the Steady Couette Flow. Journal of Computational Physics, 316, 416-434.
Greengard, Leslie, & Hagstrom, Thomas, & Jiang, Shidong (2015). Extension of the Debye-Mie-Lorenz Formalism to the Time Domain. Journal of Computational Physics, 299(15), 98-105.
Bao, Weizhu, & Jiang, Shidong, & Tang, Qinglin, & Zhang, Yong (2015). Computing the Ground State and Dynamics of the Schrodinger-Poisson Equation via Nonuniform FFT. Journal of Computational Physics, 291(1), 72-89.
Jiang, Shidong, & Greengard, Leslie , & Wang, Shaobo (2015). Efficient sum-of-exponentials approximations for the heat kernel and their applications.. Advances in Computational Mathematics, 41(3), 529-551.
Fu, Szu-Pei, & Young, Yuan-Nan, & Jiang, Shidong (2015). Efficient Brownian Dynamics Simulation of DNA Molecules with Hydrodynamic Interactions in Linear Flows. Physical Review E, 91, 063008.
Greengard, Leslie, & Hagstrom, Thomas, & Jiang, Shidong (2014). The solution of the scalar wave equation in the exterior of a sphere. Journal of Computational Physics, 274, 191-207.
Jiang, Shidong, & Greengard, Leslie, & Bao, Weizhu (2014). Fast and accurate evaluation of nonlocal Coulomb and dipole-dipole interactions via the nonuniform FFT. SIAM Journal on Scientific Computing, 36(5), B777-B794.
Jiang, Shidong, & Kropinski, Mary-Catherine, & Quaife, Bryan (2013). Second Kind Integral Equation Formulation for the Modified Biharmonic Equation and its Applications. Journal of Computational Physics, 249, 113-126.
Jiang, Shidong, & Liang, Zhi, & Huang, Jingfang (2013). A fast algorithm for Brownian dynamics simulation with hydrodynamic interactions. Math of Computation, 82, 1631-1645.
Xu, Kuan, & Jiang, Shidong (2013). A Bootstrap Method for Sum-of-Poles Approximations. Journal of Scientific Computing, 55, 16-39.
Liang, Zhi , & Gimbutas, Zydrunas, & Greengard, Leslie, & Huang, Jingfang, & Jiang, Shidong (2013). A fast multipole method for the Rotne-Prager-Yamakawa tensor and its applications. Journal of Computational Physics, 234, 133-139.
Jiang, Shidong, & Veerapaneni, Shravan, & Greengard, Leslie (2012). Integral Equation Methods for Unsteady Stokes Flow in Two Dimensions. SIAM Journal on Scientific Computing, 34(4), A2197-2219.
Jiang, Shidong, & Ren, Bo, & Tsuji, Paul, & Ying, Lexing (2011). Second kind integral equations for the first kind Dirichlet problem of the biharmonic equation in three dimensions. Journal of Computational Physics, 230(19), 7488-7501.
Causley, Matt, & Petropoulos, Peter, & Jiang, Shidong (2011). Incorporating the Havriliak-Negami dielectric model in the FD-TD method. Journal of Computational Physics, 230(10), 3884–3899.
Causley, Matthew, & Petropoulos, Peter, & Jiang, Shidong (2011). Incorporating the Havriliak–Negami dielectric model in the FD-TD method. Journal of Computational Physics, 230(10), 3884-3899 .
Hang, Fengbo, & Jiang, Shidong (2009). Generalized Poincare-Bertrand Formula on a Hypersurface. Applied and Computational Harmonic Analysis, 27(1), 100-116.
COLLAPSE
Technical Report
Potential Theory for Initial-boundary Value Problems of Unsteady Stokes Flow in Two Dimensions
CAMS Technical Report, November 2011
CAMS Technical Report, November 2011