A Numerical Study of Diagonally Split Runge-Kutta Methods for PDEs with Discontinuities. - Colin B. Macdonald; Sigal Gottlieb; Steven J. Ruuth (J. Sci. Comput., 2008)

Level Set Equations on Surfaces via the Closest Point Method. - Colin B. Macdonald; Steven J. Ruuth (J. Sci. Comput., 2008)

Segmentation on surfaces with the Closest Point Method. - Li (Luke) Tian; Colin B. Macdonald; Steven J. Ruuth (ICIP, 2009)

The Implicit Closest Point Method for the Numerical Solution of Partial Differential Equations on Surfaces. - Colin B. Macdonald; Steven J. Ruuth (SIAM J. Sci. Comput., 2009)

Parallel High-Order Integrators. - Andrew J. Christlieb; Colin B. Macdonald; Benjamin W. Ong (SIAM J. Sci. Comput., 2010)

Solving eigenvalue problems on curved surfaces using the Closest Point Method. - Colin B. Macdonald; Jeremy Brandman; Steven J. Ruuth (J. Comput. Phys., 2011)

On the Linear Stability of the Fifth-Order WENO Discretization. - Mohammad Motamed; Colin B. Macdonald; Steven J. Ruuth (J. Sci. Comput., 2011)

Strong Stability Preserving Two-step Runge-Kutta Methods. - David I. Ketcheson; Sigal Gottlieb; Colin B. Macdonald (SIAM J. Numer. Anal., 2011)

Real-Time Fluid Effects on Surfaces using the Closest Point Method. - Stefan Auer; Colin B. Macdonald; Marc Treib; Jens Schneider 002; Rüdiger Westermann (Comput. Graph. Forum, 2012)

Calculus on Surfaces with General Closest Point Functions. - Thomas März; Colin B. Macdonald (SIAM J. Numer. Anal., 2012)

A volume-based method for denoising on curved surfaces. - Harry Biddle; Ingrid von Glehn; Colin B. Macdonald; Thomas März (ICIP, 2013)

Strong Stability Preserving Explicit Runge-Kutta Methods of Maximal Effective Order. - Yiannis Hadjimichael; Colin B. Macdonald; David I. Ketcheson; James H. Verner (SIAM J. Numer. Anal., 2013)

Spatially Partitioned Embedded Runge-Kutta Methods. - David I. Ketcheson; Colin B. Macdonald; Steven J. Ruuth (SIAM J. Numer. Anal., 2013)

The Closest Point Method and Multigrid Solvers for Elliptic Equations on Surfaces. - Yujia Chen; Colin B. Macdonald (SIAM J. Sci. Comput., 2015)

A level-set approach to joint image segmentation and registration with application to CT lung imaging. - Piotr Swierczynski; Bartlomiej W. Papiez; Julia A. Schnabel; Colin B. Macdonald (Comput. Medical Imaging Graph., 2018)

Nearest Neighbor Sampling of Point Sets using Random Rays. - Liangchen Liu; Louis Ly; Colin B. Macdonald; Yen-Hsi Richard Tsai (CoRR, 2019)

Simulation and Optimization of Mean First Passage Time Problems in 2-D Using Numerical Embedded Methods and Perturbation Theory. - Sarafa Iyaniwura; Tony Wong; Michael Jeffrey Ward; Colin B. Macdonald (Multiscale Model. Simul., 2021)

Optimization of the Mean First Passage Time in Near-Disk and Elliptical Domains in 2-D with Small Absorbing Traps. - Sarafa A. Iyaniwura; Tony Wong; Colin B. Macdonald; Michael Jeffrey Ward (SIAM Rev., 2021)