Paul Warne image

 

Professor, Applied Math
warnepg@jmu.edu
Contact Info
Website: https://educ.jmu.edu/~warnepg/

The spectrum of my research includes highly accurate numerical solution of systems of ordinary and partial differential equations that arise naturally and are vital to both the sciences and engineering; the theoretical modeling of nonlinear elastic deformations important to the field of nonlinear solid mechanics; and the study and development of an eight dimensional Grassmann and Clifford algebra that utilizes hyper-complex numbers to extend the geometric concept of the Hamiltonian vector to higher dimensions.

Education
  • PhD in Applied Mathematics, 1993, University of Virginia, Charlottesville, VA
  • MS in Mathematics, 1998, James Madison University
  • BA in Studio Art, 1984, Ashland University, Ashland, OH
Select Publications
  • Warne, P.G, and Warne D.A. (2016) Torsion in nonlinearly elastic incompressible circular cylinders, International Journal of Non-linear Mechanics, 88, 158-166.
  • Thelwell, R.J., Warne, P.G, and Warne D.A. (2012) Cauchy-Kowalevski and Polynomial Ordinary Differential Equations, Electron. J. Diff. Equ., 11, 1-8.
  • Warne D.A., and Warne, P.G. (2011) “Must Tensor Addition be among Same-Order Tensors?”, Mathematics and Mechanics of Solids, 16, 769-777.

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