Dr Colin B. Macdonald

PhD

University Lecturer in Numerical Methodologies
Tutorial Fellow at Oriel College

Personal Web Page

eMail: Colin [dot] Macdonald [-at-] maths [dot] ox [dot] ac [dot] uk
Contact Form

Phone Number(s):

Reception/Secretary: +44 1865 273525
Direct: +44 1865 615168

Office: RI.2.14

Departmental Address:

Mathematical Institute
24-29 St Giles'
Oxford
OX1 3LB
England

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):

MR2873250 Reviewed Ketcheson, David I.; Gottlieb, Sigal; Macdonald, Colin B. Strong stability preserving two-step Runge-Kutta methods. SIAM J. Numer. Anal. 49 (2011), no. 6, 2618–2639. (Reviewer: Justin Steven C. Prentice) 65L06 (65L20)

PDF Clipboard Journal Article
MR2835404 Reviewed 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)

PDF Clipboard Journal Article
MR2787571 Reviewed 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)

PDF Clipboard Journal Article
MR2609341 Reviewed 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)

PDF Clipboard Journal Article
MR2594984 Reviewed 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

PDF Clipboard Journal Article
MR2484928 Reviewed 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)

PDF Clipboard Journal Article

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Dr Colin B. Macdonald

Dr Colin B. Macdonald

Mathematical Institute

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