Preprints
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S. Jiang, B. Ren, P. Tsuji, and L. Ying, Second
kind integral equations for the first kind Dirichlet problem of the
biharmonic equation in three dimensions. Submitted.
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M. F. Causley, P. G. Petropoulos, and S. Jiang,
Incorporating the Havriliak-Negami Dielectric Model in Numerical
Solutions of the Time-Domain Maxwell Equations. Submitted.
Journal Publications
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F. Hang and S. Jiang,
Generalized Poincare-Bertrand Formula on a hypersurface,
Applied and Computational Harmonic Analysis, 27 (2009), no. 1, 100-116.
(pdf)
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S. Jiang and L. Greengard,
Efficient Representation of Nonreflecting Boundary Conditions for
the Time-Dependent Schrodinger Equation in Two Dimensions,
Comm. Pure & Appl. Math., 61 (2008), no. 2, 261--288.
(pdf)
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S. Jiang and M. Xu,
Size dependence of second-order hyperpolarizability of finite periodic chains
under Su-Schrieffer-Heeger model, Europhys. Letter 76 (2006), no. 4,
670-676.
(pdf)
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M. Xu and S. Jiang,
Breaking of the Overall Permutation Symmetry in Nonlinear Optical
Susceptibilities of One-Dimensional Periodic Dimerized Hueckel Model,
J. Phys.: Condens. Matter 18 (2006) 8987-8993.
(pdf)
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S. Jiang,
Jump Relations of the Quadruple Layer Potential on a Regular Surface
in Three Dimensions,
Appl. Comput. Harmon. Anal. 21 (2006) 395-403.
(pdf)
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M. Xu and S. Jiang,
Hyperpolarizabilities for the One-Dimensional Infinite
Single-Electron Periodic Systems
II. Dipole-Dipole versus Current-Current Correlations,
J. Chem. Phys. (2005) 123, 064902
(pdf)
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S. Jiang and M. Xu,
Hyperpolarizabilities for the One-Dimensional Infinite Single-Electron
Periodic Systems I. Analytical Solutions under Dipole-Dipole Correlations,
J. Chem. Phys. (2005) 123, 064901.
(pdf)
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S. Jiang and L. Greengard,
Fast Evaluation of Nonreflecting Boundary Conditions for the Schrodinger Equation
in One Dimension,
Comput. Math. Appl. (2004) 47/6-7, 955-966.
(pdf)
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S. Jiang and V. Rokhlin,
Second Kind Integral Equations for the Classical Potential Theory on
Open Surfaces II,
J. Comput. Phys. (2004) 195, 1-16.
(pdf)
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S. Jiang and V. Rokhlin,
Second Kind Integral Equations for the Classical Potential Theory on
Open Surfaces
I: Analytical Apparatus,
J. Comput. Phys. (2003) 191, 40-74.
(pdf)
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P. Kolm, S. Jiang, and V. Rokhlin,
Quadruple and Octuple Layer Potentials in Two Dimensions I: Analytical Apparatus,
Appl. Comput. Harmon. Anal. (2003) 14, 47-74.
(pdf)
Technical Reports
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S. Jiang, An efficient algorithm for the evaluation of certain
convolution integrals with singular kernels, CAMS report
0910-4, New Jersey Institute of Technology.
(pdf)
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S. Jiang and F. Hang, Generalized Poincare-Bertrand Formula on a
regular surface in three dimensions,
CAMS report
0506-13, New Jersey Institute of Technology.
(pdf)
Ph.D. Thesis