**James Graham-Eagle**Professor

**College**College of Sciences**Department**Mathematical Science**Phone**(978) 934-2712**Email**James_Grahameagle@uml.edu

## 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,"**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," **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)," **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,"

## 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