Stephen P. Shipman
Professor
Department of Mathematics
Louisiana State University
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Links:

Math Department
LSU Home Page
Am. Math Soc.
Math. Assoc. Am.
Nat. Sci. Found.

Siblinks:

Barbara
Michael
Patrick

Art

Birds


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Research interests

More in-depth descriptions of some of my research interests and numerical simulations can be found under "Topics".
  • Resonance in open periodic electromagnetic waveguides.
  • Optimization of scattering characteristics of waves.
  • Metamaterials and artificial magnetism.
  • Boundary-integral methods in electromagnetics and acoustics.
  • Scattering theory, direct and inverse.


Mathematical Methods in Materials at LSU

Several members of the Mathematics Faculty at LSU are actively working in areas of applied mathematics concerned with various aspects of materials, some of which are listed below. There is a brief overview of some of these areas on the LSU website.
  • Super-conductivity and the Ginzburg-Landau equations
  • Liquid crystals and Bose-Einstein condensates
  • Fracture mechanics
  • Electromagnetic and acoustic scattering
  • Boundary-integral equations, Wiener-Hopf techniques, and Riemann-Hilbert problems
  • Structural optimization
  • Scientific computing and parallel processing
  • Homogenization
  • Design of high-performance composites
  • Bulk and surface transport in random media
  • Photonic crystals
electric field magnitude

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