Research Interests:
Scientific computing, numerical analysis, and applied mathematics.
Numerical computation on general surfaces, the Closest Point Method, Level Set Methods,
ENO/WENO and other high-order discretizations, Runge--Kutta methods, strong-stability-preserving time stepping for hyperbolic problems.
Recent Publications (from MathSciNet):
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MR2835404 Macdonald, Colin B.; Brandman, Jeremy; Ruuth, Steven J. Solving eigenvalue problems on curved surfaces using the closest point
method.
J. Comput. Phys. 230 (2011), no. 22, 7944–7956, 65N25 (65N06)
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MR2787571 (2012e:65187) Motamed, Mohammad; Macdonald, Colin B.; Ruuth, Steven J. On the linear stability of the fifth-order WENO discretization.
J. Sci. Comput. 47 (2011), no. 2, 127–149. (Reviewer: M. K. Kadalbajoo), 65M20 (65M06 65M12)
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MR2609341 (2011g:65105) Christlieb, Andrew J.; Macdonald, Colin B.; Ong, Benjamin W. Parallel high-order integrators.
SIAM J. Sci. Comput. 32 (2010), no. 2, 818–835. (Reviewer: Luigi Brugnano), 65L05 (65L20 65Y05)
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MR2594984 (2011c:65166) Macdonald, Colin B.; Ruuth, Steven J. The implicit closest point method for the numerical solution of partial
differential equations on surfaces.
SIAM J. Sci. Comput. 31 (2009/10), no. 6, 4330–4350. (Reviewer: Damian Słota), 65M06
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MR2484928 (2010a:65113) Ketcheson, David I.; Macdonald, Colin B.; Gottlieb, Sigal Optimal implicit strong stability preserving Runge-Kutta methods.
Appl. Numer. Math. 59 (2009), no. 2, 373–392. (Reviewer: Sergio Blanes), 65L06 (65L05 65L20)
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MR2434839 (2010d:65233) Macdonald, Colin B.; Gottlieb, Sigal; Ruuth, Steven J. A numerical study of diagonally split Runge-Kutta methods for PDEs with
discontinuities.
J. Sci. Comput. 36 (2008), no. 1, 89–112. (Reviewer: Inmaculada Higueras), 65M20 (65L06 65L20)
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