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Peter G. Petropoulos
Undergraduate Advisor,Associate Professor
Phone: 973-596-5626
Email: peterp@m.njit.edu
Dept: Mathematical Sciences
Room: 608 * Cullimore Hall
Website: http://web.njit.edu/~peterp
Education
PhD, Applied Mathematics, Northwestern University
MSc, Applied Mathematics, Northwestern University
BSc, Electrical Engineering, Rutgers University
Areas of Research
Scientific Computing, Asymptotic and Perturbation Methods. Applications in Electromagnetics, Acoustics, and Elasticity. Absorbing Boundary Conditions, Propagation in Dispersive Media, High-Order Finite Difference Schemes.
Selected Publications
"On the Time-Domain Response of Cole-Cole Dielectrics," IEEE Transactions on Antennas and Propagation, accepted, 2005.
"Accurate and Efficient Boundary Integral Methods for Electrified Liquid Bridge Problems," SIAM J. Sci. Comp., accepted, 2004.
"Generation of Interfacial Instabilities in Charged Electrified Viscous Liquid Films," Journal of Engineering Mathematics, vol. 50, pp. 223-240, 2004.
"On the Long-Time Behavior of Unsplit Perfectly Matched Layers," IEEE Transactions on Antennas and Propagation, vol. 52, no. 5, pp. 1335-1342, 2004.
"An Analytical Study of the Discrete Perfectly Matched Layer for the Time-Domain Maxwell Equations in Cylindrical Coordinates," IEEE Transactions on Antennas and Propagation, vol. 51, no. 7, pp. 1671-1675, 2003.
"The Effect of Electric Fields on the Rupture of Thin Viscous Films by van der Waals Forces," Physics of Fluids, vol. 15, no. 3, pp. 641-652, 2003.
"Approximating the Surface Impedance of a Homogeneous Lossy Half-Space: An Example of "Dialable" Accuracy," IEEE Transactions on Antennas and Propagation, vol. 50, no. 7, pp. 941-943, 2002.
"Nonlinear Stability of Electrified Fluid Sheets," Physics of Fluids, vol. 13, no. 12, pp. 3547-3563, 2001.
"A Staggered Fourth-Order Accurate Explicit Finite Difference Scheme for the Time-Domain Maxwell's Equations," J. Computational Physics , vol. 168, no. 2, pp. 286-315, 2001.
"Numerical Dispersion and Absorbing Boundary Conditions, International Journal of Numerical Modelling: Devices, Circuits and Fields," vol. 13, no. 5, pp. 483-498, 2000. Special Issue titled ``ABC's for CEM,'' edited by P.G. Petropoulos.
"Reflectionless Sponge Layers for the Numerical Solution of Maxwell's Equations in Cylindrical and Spherical Coordinates," Applied Numerical Mathematics, vol. 33, no. 1-4, pp. 517-524, 2000.
"Reflectionless Sponge Layers as Absorbing Boundary Conditions for the Numerical Solution of Maxwell's Equations in Rectangular, Cylindrical and Spherical Coordinates," SIAM J. Applied Mathematics, vol. 60, no. 3, pp. 1037-1058, 2000.