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Department of Mathematical Sciences

Kriegsmann, Gregory A.

Contact Info
Title: Foundation Chair of Mathematical Sciences
Email: gregory.a.kriegsmann@njit.edu
Office: 602 Cullimore
Phone: 973-596-5785
Dept: Mathematics: Fnd. Chair
Webpage:

About Me

The research of Gregory A. Kriegsmann has focused on the modeling, analysis, and numerical simulations of physical problems arising in industrial and technological settings. His studies in microwave heating of materials describe the nonlinear interaction between electromagnetic waves and materials, and the effect of cavity geometry. His research on acoustic and electromagnetic scattering theory includes applications to radar, structural acoustics, and acoustics in flows. His studies in circuit theory cover the design and analysis of oscillators and power supplies. His current work is focused on microwave assisted chemical vapor infiltration, thermal patterns in microwave heating experiments, and microwave assisted ceramic sintering.

Education

  • Marquette University, B.S.E.E., 1969.
  • University of California, Los Angeles, M.S.E.E., 1970.
  • University of California, Los Angeles, M.A., 1972.
  • University of California, Los Angeles, Ph.D., 1974.

Affiliations

Editorialships

  • Associate Editor, Analysis and Applications
  • Associate Editor, Journal of Engineering Mathematics (JEMA)
  • Associate Editor, IMA Journal of Applied Mathematics ( IMA)
  • Associate Editor, European Journal of Applied Mathematics (EJM)

Courses I Teach

DOCTORAL DISSERTATION

Current Courses

  • Math-770 Asymptotic and Perturbation Methods: I

Research Interests

  • Mathematical SciencesApplied Mathematics:
    • asymptotic methods
  • Differential equations
  • Bifurcation theory
  •  Wave propagation:
    • acoustics
    • electromagnetics
  • Circuit theory
  •  Microwave processing of materials
  •  Scientific computing

 


Selected Publications

  • "Scattering Matrix Anlysis of a Photonic Fabry-Perot Resonator", Wave Motion, Vol. 37, No. 1, 2003.
  • "Reflection and Transmission From a Thin Inhomogeneous Cylinder in a Rectangular TE10 Waveguide", (with M. Booty), Progress in Electromagnetic Research, Vol. 47, 2004.
  • "Complete Transmission Through a Two-Dimensional Diffraction Grating", SIAM Journal of Applied Mathematics, Vol. 65, No. 1, 2004.
  • "Alternate Proof of the Optical Theorem for Impenetrable Targets", Journal of the Acoustical Society of America, VOl. 119, No. 1, 2006.
  • "Discrete Unitary Waveguide Matrices", (with D. Volkov), IMA Journal on Applied Mathematics, Vol. 71, No. 6, 2006.
  • "Complete Transmission Through a Periodically Perforated Rigid Slab", (with L. Zhou), Journal of the Acoustical Society of America, Vol. 121, 2007.
  • "Electric Discharge Sintering: A Mathematical Model", SIAM Journal of Applied Mathematics, Vol. 68, No. 2, 2008.