Research Interests
Applied mathematics, combustion theory.
Education
- Ph D: Applied Mathematics, (1984), Oxford University - UK
- MS: Applied Mathematics, (1981), Victoria University of Wellington - New Zealand
- BS: Mathematics, (1979), Victoria University of Wellington - New Zealand
Selected Publications
- Christodoulou, D., Katatbeh, Q.D., Graham-Eagle, J. (2016). A criterion for oscillations in the solutions of the polytropic Lane-Emden equations. Journal of Inequalities and Applications, 2016(1) 147.
- Christodoulou, D., Graham-Eagle, J., Katatbeh, Q.D. (2016). A program for predicting the intervals of oscillations in the solutions of ordinary second-order linear homogeneous differential equations. Advances in Difference Equations, 2016(1) 48.
- Christodoulou, D., Graham-Eagle, J., Katatbeh, Q. (2016). The intervals of oscillations in the solutions of the Legendre differential equations. Advances in Difference Equations, 2016(1) 1 - 10.
- Katatbeh, Q.D., Christodoulou, D., Graham-Eagle, J. (2016). The intervals of oscillations in the solutions of the radial Schrödinger differential equation. Advances in Difference Equations, 2016(1) 47.
- Joseph, P., Graham-Eagle, J. (2015). Analytical solution of a dynamical systems soil model. Analytical Methods in Petroleum Upstream Applications, 219.
- Christodoulou, D., Graham-Eagle, J., Katatbeh, Q.D. (2014). A Program for Predicting the Intervals of Oscillations in the Solutions of Ordinary Second-Order Linear Homogeneous Differential Equations.
- Christodoulou, D., Graham-Eagle, J., Katatbeh, Q.D. (2014). The Intervals of Oscillations in the Solutions of the Legendre Differential Equations.
- Katatbeh, Q.D., Christodoulou, D., Graham-Eagle, J. (2014). The Intervals of Oscillations in the Solutions of the Radial Schrödinger Differential Equation.
- Joseph, P.G., Graham-Eagle, J. (2013). Strain-rate effects in shear highlighted by a dynamical systems model. International Journal of Geomechanics.
- Graham-Eagle, J. (2009). The Draining Cylinder. The College Mathematics Journal, 40(5) 337–344.
- Graham-Eagle, J. (2008). Halting combustion waves with a fire break. Journal of Mathematical Analysis and Applications, 348(1) 116–121.
- Rossi, L., Inyang, H., Graham-Eagle, J., Pennell, S.A. (2005). Closure to “A Model of Coupled Heat and Moisture Transport in an Annular Clay Barrier” by L. Rossi, HI Inyang, J. Graham-Eagle, and S. Pennell. Journal of Environmental Engineering, 131(11) 1615–1616.
- Rossi, L., Inyang, H., Graham-Eagle, J., Pennell, S.A. (2004). A model of coupled heat and moisture transport in an annular clay barrier. Journal of Environmental Engineering, 130(8) 855–862.
- Beuscher, U., Bayram, S., Broadbridge, P., Driscoll, T., Edwards, D.A., Fehribach, J., Graham-Eagle, J., Haskett, R., Heryudono, A., Huang, H., others, . (2004). Multi-Phase Flow in a Thin Porous Material.
- Graham-Eagle, J., Rossi, L.F. (2002). On the existence of two-dimensional, localized, rotating, self-similar vortical structures. SIAM Journal on Applied Mathematics, 62(6) 2114–2128.
- Byrne, C., Graham-Eagle, J. (2001). A short proof of the convergence of the SART algorithm. Dept. Math. Sci., Univ. Massachusetts, Lowell, Tech. Rep.
- Graham-Eagle, J., Schult, D. (2001). Combustion waves with reactant depletion. The ANZIAM Journal, 43(01) 119–135.
- Kreminski, R., Graham-Eagle, J. (2001). Simpson’s rule for estimating n!(and proving Stirling’s formula, almost). International Journal of Mathematical Education in Science and Technology, 32(3) 466–475.
- Graham-Eagle, J., Schult, D. (2001). The effect of wind on combustion waves with reactant depletion (457:2014 pp. 2397–2417).
- Graham-Eagle, J., Pennell, S.A. (2000). Contact angle calculations from the contact/maximum diameter of sessile drops. International journal for numerical methods in fluids, 32(7) 851–861.
- Amirfazli, A., Graham-Eagle, J., Pennell, S.A., Neumann, A. (2000). Implementation and examination of a new drop shape analysis algorithm to measure contact angle and surface tension from the diameters of two sessile drops. Colloids and Surfaces A: Physicochemical and Engineering Aspects, 161(1) 63–74.
- Noushin, A., Fiddy, M., Graham-Eagle, J. (1999). Some new findings on the zeros of band-limited functions. JOSA A, 16(7) 1857–1863.
- Pennell, S.A., Graham-Eagle, J. (1996). Sessile Drops on Slightly Uneven Hydrophilic Surfaces (1:).
- Graham-Eagle, J. (1995). A nonlocal equation arising in the theory of wet combustion. IMA journal of applied mathematics, 54(1) 1–8.
- Gonzalezvelasco, E., Graham-Eagle, J. (1994). Directed Distances with Derivatives. Journal of Mathematical Analysis and Applications, 184(2) 243-255.
- Graham-Eagle, J. (1993). On the Relation between a Nonlinear Elliptic Equation and Its Uniform Approximation. Journal of Mathematical Analysis and Applications, 177(1) 254-262.
- Byrne, C., Graham-Eagle, J. (1992). Convergence properties of the algebraic reconstruction technique (ART) (pp. 1240–1242).
- Graham-Eagle, J. (1990). A variational approach to upper and lower solutions. IMA Journal of Applied Mathematics, 44(2) 181–184.
- Graham-Eagle, J. (1989). Monotone methods for semilinear elliptic equations in unbounded domains. Journal of Mathematical Analysis and Applications, 137(1) 122–131.
- BENJAMIN, T.B., Graham-Eagle, J. (1985). Long Gravity—Capillary Waves with Edge Constraints. IMA journal of applied mathematics, 35(1) 91–114.
- Graham-Eagle, J. (1983). A new method for calculating eigenvalues with applications to gravity-capillary waves with edge constraints (94:03 pp. 553–564).
Selected Presentations
- Extinguishing combustion waves with a fire break - ANZIAM Meeting, January 2010 - New Zealand
- Building a fire only to break it, January 2010 - University of Delaware, DE
- - National Center for Academic Transformation Redesign Alliance Conference, March 2008 - Orlando, FL
- Extinguishing fires with a break, April 2002 - Fitchburg College, MA
- - BRC conference on Math Teaching, February 2002 - Boston, Massachusetts
- - SIAM conference on Geosciences, June 2001 - Boulder, Colorado
- The effect of wind on combustion waves, December 1999 - University of Massachusetts Lowell, MA
- Combustion waves with reactant depletion - Combustion Conference, February 1999 - Sydney, Australia
- Combustion waves, October 1997 - University of Massachusetts Lowell, MA
- Calculating surface tension from drop profiles, March 1996 - University of Massachusetts Lowell, MA
- Computing surface tension from sessile drop profiles - Australia and New Zealand Industrial and Applied Mathematics Conference, February 1996 - Masterton, New Zealand
- - Conference on the Preparation and Professional Development of Mathematics Graduate Teaching Assistants, February 1996 - University of New Hampshire
- Degree theory and nonlocal PDEs, February 1995 - University of Massachusetts Lowell, MA
- - Workshop on Calculus for At-Risk Students, August 1994 - Austin, TX
- Teaching secondary school mathematics to secondary school mathematics teachers - Mathematics Education Seminar, April 1994 - Suffolk University, Boston, MA.
- Congruence arithmetic, December 1993 - University of Massachusetts Lowell, MA
- - IEEE Conference on Medical Imaging, October 1992 - Orlando, FL
- Nonlocal heat equation, November 1991 - University of Massachusetts at Amherst, MA
- Reaction-diffusion with non-local forcing term - Applied Mathematics Seminar, September 1991 - University of Massachusetts Amherst
- - Partial Differential Equations Conference in honor of Lawrence Payne, October 1990 - Cornell, NY
- - Wavelets Conference, June 1990 - Lowell, Massachusetts
- Thermal runaway, October 1989 - University of Massachusetts Lowell, MA
- The Riemann hypothesis, May 1989 - University of Delaware, DE
- A fractional order diffusion equation, April 1989 - University of Massachusetts Lowell, MA
- A free boundary problem arising in the theory of heat conduction, March 1989 - Washington and Lee University, VA
- Automorphic numbers, March 1989 - Muhlenberg College, PA
- Heat conduction with fractional order heat generation, March 1989 - University of Alabama at Birmingham, AL
- Upper and lower solutions for nonlinear elliptic partial differential equations, February 1989 - University of Delaware, DE
- A variational approach to upper and lower solutions. An international conference on differential equations. - Conference on Differential Equations in Honor of Alex McNabb, June 1988 - New Zealand
- Degree Theory, 1987 - University of Delaware, DE
- Monotone methods for the nonlinear partial differential equations of heat conduction, November 1987 - University of Auckland, NZ
- Nonstandard Analysis, June 1987 - University of Delaware, DE
- - Joint American Mathematical Society/Mathematics Association America meeting, January 1987 - San Antonio, TX
- - International Congress of Mathematicians, July 1986 - Berkeley, CA
- The relation between degree theory and monotone methods in nonlinear elliptic partial differential equations, January 1986 - Irvine, CA
- The Morse inequalities for compact manifolds, April 1985 - Victoria University, New Zealand
- Gravity-capillary waves with edge constraints and the propagation of capillary waves in a channel, June 1984 - Oxford University, UK
- - Mathematics in Industry Conference, July 1983 - Oxford, UK
- A new method for calculating eigenvalues with applications to gravity-capillary waves with edge constraints - Applied Mathematics Conference, April 1983 - Oxford, UK
- Gravity-capillary waves with edge constraints, April 1983 - Universite de Paris Sud & L'Ecole Normale, France
- - NATO/London Mathematical Society Conference, July 1982 - Oxford, UK
- Approximating real numbers by rationals, October 1980 - Victoria University, New Zealand