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 pp. 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 pp. 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 pp. 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 pp. 47
- Joseph, P., Graham-Eagle, J. (2015) "Analytical solution of a dynamical systems soil model," Analytical Methods in Petroleum Upstream Applications pp. 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 pp. 337–344
- Graham-Eagle, J. (2008) "Halting combustion waves with a fire break," Journal of Mathematical Analysis and Applications 348:1 pp. 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 pp. 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 pp. 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 pp. 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 pp. 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 pp. 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 pp. 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 pp. 63–74
- Noushin, A., Fiddy, M., Graham-Eagle, J. (1999) "Some new findings on the zeros of band-limited functions," JOSA A 16:7 pp. 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 pp. 1–8
- Gonzalezvelasco, E., Graham-Eagle, J. (1994) "Directed Distances with Derivatives," Journal of Mathematical Analysis and Applications 184:2 pp. 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 pp. 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 pp. 181–184
- Graham-Eagle, J. (1989) "Monotone methods for semilinear elliptic equations in unbounded domains," Journal of Mathematical Analysis and Applications 137:1 pp. 122–131
- BENJAMIN, T.B., Graham-Eagle, J. (1985) "Long Gravity—Capillary Waves with Edge Constraints," IMA journal of applied mathematics 35:1 pp. 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