Profile
B.Sc. (High Honors) in Mathematics from The College of William & Mary in Virginia, U.S.A. in 1991. Graduate degrees in Applied Mathematics from the University of Maryland, Baltimore, County, U.S.A. (M.Sc. 1993, Ph.D. 1996). Worked as a visiting assistant professor at The Ohio State University, U.S.A. (1996-1997), and as an assistant professor at Clarkson University, U.S.A. (1997-2001), Loyola College, U.S.A. (2001-2004) and University of Cyprus (2004-2009). Promoted to associate professor in March 2009.
Research Interests
Numerical Analysis, Numerical Solution of Partial Differential Equations, Finite Element Methods, Computational Mechanics.
Selected Publications
R. B. Kellogg and C. Xenophontos, An enriched subspace finite element method for convection-diffusion problems, International Journal of Numerical Analysis and Modeling, Vol. 7, No. 3, pp. 477 - 490 (2010).
M. Knapp and C. Xenophontos, Numerical analysis meets number theory: using root finding methods to calculate inverses mod $p^n$, Applicable Analysis and Discrete Mathematics, Vol. 4, pp. 23 - 31 (2010).
C. Xenophontos and L. Oberbroeckling, On the finite element approximation of systems of reaction-diffusion equations by p/hp methods, Journal of Computational Mathematics, Vol. 28, No. 3, pp. 386 - 400 (2010).
E. Christodoulou, C. Xenophontos and G. Georgiou, The singular function boundary integral method for elliptic problems with boundary singularities, Recent Advances in Boundary Element Methods: A Volume to honor Prof. D. Beskos, G. Manolis and D. Polyzos (Eds), pp. 43 - 56, Springer-Verlag, 2009.
C. Xenophontos, The hp finite element approximation for singularly perturbed systems of reaction-diffusion equations, Journal of Neural, Parallel and Scientific Computation (Special Issue on Singularly Perturbed Problems) Vol. 16, pp. 337 - 352 (2008).
C. Xenophontos and L. Oberbroeckling, A numerical study on the finite element solution of singularly perturbed systems of reaction-diffusion problems, Applied Mathematics and Computation, Vol. 187, pp. 1351 - 1367 (2007).
C. Xenophontos, The use of curved elements in the finite element approximation of thin plates by high order p and hp methods, Journal of Scientific Computing, Vol. 27, pp. 465-476 (2006).
C. Xenophontos, M. Elliotis and G. Georgiou The singular function boundary integral method for elliptic problems with singularities, SIAM Journal of Scientific Computing, Vol. 28, No 2., pp. 517-532 (2006).
M. Elliotis, G. Georgiou and C. Xenophontos, Solution of the planar Newtonian stick-slip problem with the singular function boundary integral method, International Journal of Numerical Methods for Fluids, Vol. 48, pp. 1001 - 1021 (2005).
S. R. Fulton, A. S. Fokas and C. Xenophontos, An analytical method for linear elliptic PDEs and its numerical implementation, Journal of Computational and Applied Mathematics, Vol. 167, No. 2 , pp. 465-483 (2004).
J. Kurtz and C. Xenophontos, On the effects of using curved elements in the approximation of the Reissner-Mindlin plate by the p version of the finite element method, Applied Numerical Mathematics, Vol. 46, No, 2, pp. 231-246 (2003).
C. Xenophontos and S. R. Fulton, Uniform approximation of singularly perturbed reaction-diffusion problems by the finite element method on a Shishkin mesh, Numerical Methods for Partial Differential Equations, Vol. 19, No. 1, pp. 89-111 (2002).
Personal Website: http://www2.ucy.ac.cy/~xenophon |