Natalie E Sheils

Doctoral Candidate in Applied Mathematics
NSF Graduate Research Fellow
University of Washington

Name Natalie E Sheils
Email nsheils (at) uw (dot) edu
Address University of Washington
Department of Applied Mathematics
Lewis Hall, Box 353921
Seattle, WA 98195-3921
Office Lewis Hall 306
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Natalie E Sheils

I am a graduate student pursuing a Ph.D in Applied Mathematics at the University of Washington. I am working with Bernard Deconinck on analytic solutions of interface problems using the Fokas Method. I am originally from Boise, Idaho and have a younger sister Madeleine who is a professional golfer on her way to the LPGA.

Prior to studying at UW I earned my undergraduate degree in Mathematics with a specialization in Applied Mathematics at Seattle University. I worked with John Carter on the stability of two-dimensional soltion solutions to the nonlinear Shrödinger equation.


  • Heat Conduction on the ring: Interface problems with periodic boundary conditions . accepted for publication. Appl. Math. Lett. 2014 (N.E.S and B. Deconinck ).pdf
  • Interface problems for dispersive equations . submitted for publication. (N.E.S and B. Deconinck ).pdf
  • Non-steady state heat conduciton in composite walls . Proc. Roy. Soc. A 2014 (B. Deconinck, B. Pelloni, and N.E.S).pdf
  • On the spectral stability of solitary wave solutions of the vector Nonlinear Schrodinger equation. J. Phys. A 2013 (B. Deconinck, N.E.S., N. Nguyen, and R. Tian) .pdf
  • Global existence for a coupled system of Schrodinger equations with power-type nonlinearites. J. Math. Phys. 2013 (N. Nguyen, R. Tian, B. Deconinck, and N.E.S) .pdf
  • Entrainment ranges of forced phase oscillators. J. Math. Bio. 2010 (J. Previte, N.E.S., K. Hoffman, T. Kiemel, E. Tytell)