Spectral element discontinuous Galerkin method, Exponential integrator, Time adaptive p-type resolution Fourier method with Gegenbauer reconstructions, Padé approximations
Nanophotonics device simulations, Wakefield calculations for accelerator modeling, Waveguiding simulations, Photonic Band Gap calculations
M. S. Min, T. W. Lee, P. F. Fischer, S. K. Gray, Fourier spectral simulations and Gegenbauer reconstructions for electromagnetic waves in the presence of a metal nanoparticle, Journal of Computational Physics, 213 (2): pp.730-747, 2006.
M. S. Min, S. M. Kaber, W. S. Don, Fourier-Padé rational approximations and filtering for the spectral simulations of incompressible inviscid Boussinesq convection flows, Mathematics of Computation, Vol 76, pp.1275-1290, 2007.
M. S. Min, D. Gottlieb, Domain decomposition spectral approximations for an eigenvalue problem with a piecewise constant coefficient, SIAM Journal on Numerical Analysis, 43 (2): pp.502-520, 2005.
M. S. Min, D. Gottlieb, On the convergence of the Fourier approximation for eigenvalues and eigenfunctions of discontinuous problems, SIAM Journal on Numerical Analysis, 40 (6): pp.2254-2269, 2003.
M. S. Min, Spectral methods for discontinuous problems: applications in electromagnetic problems and image reconstructions, Ph.D. Thesis, Division of Applied Mathematics, Brown University, Sept. 2002.
M. S. Min, C. H. Teng, The instability of the Yee scheme for the "magic time step", Journal of Computational Physics, 166 (2): pp.418-424, 2001.
M. S. Min, An efficient computation for Gegenbauer approximations and its application to medical image reconstruction in computer tomography, 2000(preprint).
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