Publications of David J. Horntrop
Horntrop, D. and Majda, A., Subtle statistical behavior
in simple models for random advection-diffusion, J. Math.
Sci. Univ. Tokyo 1, 23-70, 1994.
Horntrop, D., Monte Carlo Simulation for Turbulent
Transport, Ph.D. Thesis, Program in Applied and Computational Mathematics,
Princeton University, advisor: Andrew J. Majda, 1995.
Elliott, F., Majda, A., Horntrop, D., and McLaughlin, R.,
Hierarchical Monte Carlo methods for fractal random fields,
J. Stat. Phys. 81, 717-736, 1995.
Elliott, F., Horntrop, D., and Majda, A.,
Monte Carlo methods for turbulent tracers with long range
and fractal random velocity fields, Chaos 7, 39-48, 1997.
Elliott, F., Horntrop, D., and Majda, A.,
A Fourier-wavelet Monte Carlo method for fractal random fields,
J. Comp. Phys. 132, 384-408, 1997.
Horntrop, D., and Majda, A.,
An overview of Monte Carlo simulation techniques for the generation
of random fields, in Monte Carlo Simulations in Oceanography,
Proceedings of the Ninth `Aha Huliko'a Hawaiian Winter Workshop.
P. Muller and D. Henderson, editors, 67-79, 1997.
Horntrop, D., Katsoulakis, M., and Vlachos, D.,
Spectral methods for mesoscopic models of pattern formations,
J. Comp. Phys. 173, 364-390, 2001.
Horntrop, D.,
Monte Carlo simulation of a random field model for transport,
Monte Carlo Meth. App. 8, 31-49, 2002.
Horntrop, D.,
Spectral schemes for stochastic
partial differential equations, (under review).
Horntrop, D.,
Mesoscopic simulation for self-organization in surface processes,
in Computational Science--ICCS 2005, edited by V. Sunderam,
et al, Springer
Lecture Notes in Computer Science 3514, 851-859, 2005.
Horntrop, D.,
Mesoscopic simulation of Ostwald ripening,
J. Comp. Phys., 218, 429-441, 2006.
Bailon, M., and Horntrop, D.,
On the calculation of convolutions with Gaussian kernels,
Applied Math. Comp., 176, 383-387, 2006.
Horntrop, D.,
Concentration effects in mesoscopic simulation of coarsening,
(under review).
Horntrop, D.,
A spectral method study of domain coarsening,
Phys. Rev. E, 75, 046703, 2007.
Dybenko, O., Rosato, A., and Horntrop, D.,
Three-dimensional Monte Carlo simulations of density relaxation,
KONA Powder and Particle, 25, 133-144, 2007.
Last updated December 2007.