For convenience, preprints of some of my papers are available below. However, the final journal version may be more up-to-date.
| [1] | Colin B. Macdonald, Jeremy Brandman, and Steven J. Ruuth. Solving eigenvalue problems on curved surfaces using the Closest Point Method. 2011. Submitted. [ bib | Abstract ] |
| [2] | David I. Ketcheson, Sigal Gottlieb, and Colin B. Macdonald. Strong stability preserving two-step Runge-Rutta methods. 2010. Submitted. [ bib | .pdf | Abstract ] |
| [3] | Mohammad Motamed, Colin B. Macdonald, and Steven J. Ruuth. On linear stability of the fifth-order WENO discretization. 2010. To appear in Journal of Scientific Computing. [ bib | DOI | .pdf | Abstract ] |
| [4] | Andrew Christlieb, Colin B. Macdonald, and Benjamin Ong. Parallel high-order integrators. SIAM J. Sci. Comput., 32(2):818-835, 2010. doi:10.1137/09075740X. [ bib | DOI | .pdf | Abstract ] |
| [5] | Li (Luke) Tian, Colin B. Macdonald, and Steven J. Ruuth. Segmentation on surfaces with the Closest Point Method. In Proc. ICIP09, 16th IEEE International Conference on Image Processing, pages 3009-3012, Cairo, Egypt, 2009. doi:10.1109/ICIP.2009.5414447. [ bib | DOI | .pdf | Abstract ] |
| [6] | Colin B. Macdonald and Steven J. Ruuth. The implicit Closest Point Method for the numerical solution of partial differential equations on surfaces. SIAM J. Sci. Comput., 31(6):4330-4350, 2009. doi:10.1137/080740003. [ bib | DOI | .pdf | Abstract ] |
| [7] | David I. Ketcheson, Colin B. Macdonald, and Sigal Gottlieb. Optimal implicit strong stability preserving Runge-Kutta methods. Appl. Numer. Math., 59(2):373-392, February 2009. doi:10.1016/j.apnum.2008.03.034. [ bib | DOI | .pdf | Abstract ] |
| [8] | Colin B. Macdonald and Steven J. Ruuth. Level set equations on surfaces via the Closest Point Method. J. Sci. Comput., 35(2-3):219-240, June 2008. doi:10.1007/s10915-008-9196-6. [ bib | DOI | .pdf | Abstract ] |
| [9] | Colin B. Macdonald, Sigal Gottlieb, and Steven J. Ruuth. A numerical study of diagonally split Runge-Kutta methods for PDEs with discontinuities. J. Sci. Comput., 36(1):89-112, July 2008. doi:10.1007/s10915-007-9180-6. [ bib | DOI | .pdf | Abstract ] |
| [10] | Colin B. Macdonald and Raymond J. Spiteri. The predicted sequential regularization method for differential-algebraic equations. In C.E. D'Attellis, V.V. Kluev, and N. Mastorakis, editors, Mathematics and Simulation with Biological, Economic, and Musicoacoustical Applications, pages 107-112. WSES Press, 2001. [ bib ] |
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