Office: MATH 1408/18 Phone: 02-218-5215 Fax: 02-255-2287 Email: K.mekchay@gmail.com
2005 Ph.D. (Mathematics), University of Maryland at College Park, USA 1999 M.S. (Mathematics), New York University, USA 1996 M.S. (Mathematics), Rensselaer Polytechnic Institute, USA
Numerical Analysis : Adaptive Finite Element Methods
Financial Mathematics
Publications:
Khamron Mekchay, Application of adaptive finite element method for elliptic partial differential equations to the Laplace-Beltrami operator of graphs,Bull. Malays. Math. Sci. Soc., Vol. 35 (2A), 2012, p 509-518.
T. Pongsanguansin, K. Mekchay, and M. Maleewong, Adaptive TVD-RK discontinuous Galerkin algorithms for shallow water equations,International Journal of Mathematics and Computers in Simulation, Vol 6, No. 2, 2012, p 257-273.
K. Mekchay and A. Wiwatwanich, A posteriori error estimates of residual type for second order quasi-linear elliptic PDEs, Journal of Mathematics Research, Vol. 4 No. 2, April 2012, p 20-27.
K. Mekchay, P. Morin and R. H. Nochetto, AFEM for the Laplace-Beltrami operator on graphs: Design and conditional contraction property,Mathematics of Computation, Vol. 80, No. 274, April 2011, p 625-648.
N. Issaranusorn, S. Rujivan and K. Mekchay, Stochastic model for gold prices and its application for no-arbitrage gold derivative pricing, Journal of Nonlinear Analysis Optimization, Vol. 2 No .1, 2011, p 9-14.
K. Mekchay and R.H. Nochetto, Convergence of adaptive finite element methods for general second order linear elliptic PDE, SIAM J. Numer. Anal, Vol. 43 (5), 2005, p 1803-1827.