87 citations · 270 across the 12 of their papers we have counts for
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math.NA2012★ 5 cited
Strong stability preserving explicit Runge-Kutta methods of maximal effective order
Yiannis Hadjimichael, Colin B. Macdonald, David I. Ketcheson +1
We apply the concept of effective order to strong stability preserving (SSP) explicit Runge-Kutta methods. Relative to classical Runge-Kutta methods, methods with an effective orde…
math.NA2012★ 59 cited
Calculus on Surfaces with General Closest Point Functions
Thomas März, Colin B. Macdonald
The Closest Point Method for solving partial differential equations (PDEs) posed on surfaces was recently introduced by Ruuth and Merriman [J. Comput. Phys. 2008] and successfully…