Finite-Difference Time-Domain (FDTD) methods have long served as a workhorse for simulating electromagnetic wave propagation. In dispersive media, where material responses vary with frequency, the ...
Finite-Difference Time-Domain (FDTD) methods have become a cornerstone in the simulation of electromagnetic phenomena, enabling researchers to solve Maxwell’s equations through discretisation in both ...
SIAM Journal on Numerical Analysis, Vol. 34, No. 6 (Dec., 1997), pp. 2306-2318 (13 pages) We are interested in the rate of convergence in L 1 of the approximate solution of a conservation law ...
SIAM Journal on Numerical Analysis, Vol. 26, No. 6 (Dec., 1989), pp. 1474-1486 (13 pages) An explicit finite difference algorithm is developed to approximate the solution of a nonlinear and nonlocal ...
My main research interests are in developing, analyzing, and implementing numerical methods, in particular for solving PDEs to high orders of accuracy. Such methods include pseudospectral and high ...
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