GREGORY S. SPRADLIN

Hello
I’m Dr. Greg Spradlin

Tenured Professor of Mathematics at Embry-Riddle Aeronautical University in Daytona Beach, Florida, USA. My doctoral dissertation was done in second order non-linear partial differential equations. As my career has progressed, I have added work in …

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Experience

August 2014 – Present

Embry-Riddle Aeronautical University, Daytona Beach, FL USA
Department of Mathematics

July 2006 – August 2014

Embry-Riddle Aeronautical University, Daytona Beach, FL USA
Department of Mathematics

June 2000 – July 2006

Embry-Riddle Aeronautical University, Daytona Beach, FL USA
Department of Mathematics

August 1998 – June 2000

United States Military Academy, West Point, New York

Army Research Laboratory, Aberbeen Proving Ground, Maryland

June 1995 – June 1998

University of California, Davis

Publications

  • Combined effect of heterogeneous target dose and heterogeneous radiosensitivity on tumor control probability for different fractionation regimens, with V. Y. Kuperman and L.M. Lubich, Physica Media, 2022, Vol. 95, pp. 140-147.
    2022
  • Effect of applicator rotation on dose distribution in accelerated partial breast irradiation, with V. Y. Kuperman and J. Kordemenos, Biomed. Phys. Eng. Express, 2017, Vol. 3, no. 3.
    2017
  • Not All Traces on the Circle Come from Functions of Least Gradient in the Disk, with Alexandru Tamasan, Indiana University Mathematics Journal, 2014, Vol. 63, no. 6. pp. 1819-1837.
    2014
  • Effect of Variable Dose Rate on Biologically Effective Dose, with Vadim Kuperman, International Journal of Radiation Biology, November 2013, vol. 89, issue 11, pp. 889-897.
    2013
  • Weierstrass Traveling Wave Solutions for Dissipative Benjamin, Bona, and Mahony (BBM) Equation, with Stefan Mancas and Harihar Kanal, Journal of Mathematical Physics, vol. 54, 2013, pp. 081502(1-15).
    2013
  • Use of Radiation Protraction to Escalate Biologically Equivalent Dose to the Treatment Target, with Vadim Kuperman, Medical Physics, vol. 38, 2011.
    2011
  • A Non-autonomous Second Order Boundary Value Problem on the Half-Line, Nonlinear Ordinary Differential Equations and Applications, Vol. 17, no. 5, October 2010, pp. 639-645.
    2010
  • Heteroclinic Solutions to an Asymptotically Autonomous Second Order Equation, Electronic Journal of Differential Equations, Vol. 2010(2010), No. 137, pp. 1–14.
    2010
  • On Osgood's criterion for classical wave equations and nonlinear shallow water wave equations, with Tim Smith, Int. Journal of Math. Analysis, Vol. 4, 2010, no. 20, 967 - 974.
    2010
  • Traveling Waves for the BBM Equation with Viscosity Term, Advances and Applications in Fluid Mechanics, Vol. 5 (2009), No. 1, pp. 101-106.
    2009
  • Lanchester's Equations in Three Dimensions, with Christina Spradlin, Computers and Mathematics with Applications, Vol. 53 (2007) No.7, pp. 999-1011.
    2007
  • Scattered Homoclinics to a class of time-recurrent Hamiltonian systems, ESAIM-Control, Optimisation and Calculus of Variations, Vol. 13 (2007) No. 3, pp. 528-537.
    2007
  • An Elliptic Equation with no Monotonicity Condition on the Nonlinearity, ESAIM- Control, Optimisation and Calculus of Variations, Vol. 12 (2006) No. 4, pp. 768-794.
    2006
  • Interacting Near-Solutions to a Hamiltonian System, Calculus of Variations and Partial Differential Equations, Vol. 22 pp. 447-465 (2005).
    2005
  • Existence of solutions to a Hamiltonian system without convexity condition on the nonlinearity, Electron. J. Diff. Eqns., Vol. 2004(2004), No. 21, pp. 1-13.
    2004
  • Interfering solutions of a nonhomogeneous Hamiltonian system, Electronic Journal of Differential Equations Vol. 2001(2001), No. 47, pp. 1-10.
    2001
  • An elliptic equation with spike solutions concentrating at local minima of the Laplacian of the potential, Electronic Journal of Differential Equations,Vol. 2000(2000), No. 32, pp. 1-14.
    2000
  • An Elliptic Partial Differential Equation with a Symmetrical Almost Periodic Term, Calculus of Variations and Partial Differential Equations 9, pp. 233-247 (1999).
    1999
  • A Singularly Perturbed Elliptic Partial Differential Equation with an Almost Periodic Term, Calculus of Variations and Partial Differential Equations 9, pp. 207-232 (1999).
    1999
  • A Perturbation of a Periodic Hamiltonian System, Nonlinear Analysis, Theory, Methods, & Applications, 38 (8) (1999) pp. 1003-1022
    1999
  • A Hamiltonian System with an Even Term, Topological Methods in Nonlinear Analysis, 10.1, 1997, pp. 93-106.
    1997
  • An Almost Periodic Function of Several Variables with no Local Minimum, Rendiconti dell’Instituto di Matematica dell’Universia di Trieste, 28 (1996), no. 1-2, pp. 371-381.
    1996

Education

  • Bachelor's of Science
    Mathematics, Siena College
    Loudonville, New York
    1988
  • Master's Degree
    Mathematics, University of Wisconsin
    Madison, Wisconsin
    1990
  • Doctor of Philosophy
    Mathematics, University of Wisconsin
    Madison, Wisconsin USA
    Advisor: Dr. Paul H. Rabinowitz
    Dissertation Title: "Multibump Solutions to a Class of Semilinear Partial Differential Equations"
    1995
  • Additional Coursework
    22 credits of undergraduate coursework in Comupter Science and Electrical Engineering
    Embry-Riddle Aeronautical University
    Daytona Beach, Florida USA
    2009

Skills

  • Computing (Linux, Python)
  • Classical music, playing piano (see original piano composition “Rhapsody in C Minor” at https://gregspradlin.org/)
  • Social networking, making memes (see House of Memes, at https://gmotd.tumblr.com/)
  • Chess and other games
  • Growing orchids and other houseplants
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