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.