Portrait of Ellis Cumberbatch
  • Email
    Ellis.Cumberbatch@cgu.edu
  • Degrees
    PhD, Applied Mathematics, University of Manchester
  • Research Interests
    Applied mathematics, Industrial modeling, Differential equations, Fluid mechanics, Wave propagation, Semi-conductors

Ellis Cumberbatch earned his PhD in Applied Mathematics at the University of Manchester in 1958, under the renowned Sir James Lighthill, Fellow of the Royal Society. His dissertation foretold the design of an ocean-going ship hull that would allow it to travel in excess of 230 miles per hour. Since that time, his mathematical contributions and research interests range from differential equations and fluid mechanics to semiconductors and industrial modeling. He has published widely and supervised research conducted under grants from the National Science
Foundation and Douglas Aerospace Corporation.

Cumberbatch arrived in Claremont in 1981, after holding positions at the California Institute of Technology, the Courant Institute of Mathematical Sciences, Leeds University, and Purdue University. With Jerry Spanier, he revitalized the Institute of Mathematics Sciences, implementing an applied focus that thrives to this day. He created the PhD program in Engineering and Industrial Applied Mathematics; his vision and foresight were instrumental in starting the Financial Engineering program, the PhD in Computational Sciences, and the Claremont Center for Mathematical Sciences. He has served as dean, department chair, and director of the Mathematics Clinic.

E. Cumberbatch, H. Abebe, and Hedley Morris, “Current-Voltage characteristics from an asymptotic analysis of the MOSFET equations.” Journal of Engineering Mathematics, Kluwer Academic Publishers (a part of Springer). Vol. 39,  PP. 25–46, March 2001. [pdf]

H. Abebe, E. Cumberbatch, V. Tyree, and H. Morris, “MOSFET device modeling using methods of asymptotic analysis.” Internet Journal ElectronicsLetters.com (a part of Elektrorevue journal), ISSN 1213–161X, May 20, 2003.

H. Morris, E. Cumberbatch, V. Tyree and H. Abebe, “Analytical results for the I-V characteristics of a fully depleted SOI-MOSFET.” IEE Proc. Circuits, Devices & Systems, Vol. 152, Issue 6, P. 630–32, December 2005. [pdf]

W. Fang, E. Cumberbatch, “Matrix Properties of Data from Electrical Capacitance Tomography.” Journal of Engineering Mathematics, Volume 51, Number 2, pp. 127–146, February 2005. [Publisher’s Page]

E. Cumberbatch, H. Abebe and Uno, S, “Nano-Scale MOSFET device modeling with quantum mechanical effects.” European Journal of Applied Mathematics, Cambridge University Press, 2006.

Uno, S, H. Abebe and E. Cumberbatch, “Analytical descriptions of inversion layer quantum effects using a density gradient model and singular perturbation theory.”

Perturbation & Asymptotics Analysis
Advanced Mathematics Clinic
Independent Research (PhD Students)