87 citations · 270 across the 12 of their papers we have counts for
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math.NA2011★ 87 cited
Solving eigenvalue problems on curved surfaces using the Closest Point Method
Colin B. Macdonald, Jeremy Brandman, Steven J. Ruuth
Eigenvalue problems are fundamental to mathematics and science. We present a simple algorithm for determining eigenvalues and eigenfunctions of the Laplace--Beltrami operator on ra…
math.NA2011★ 68 cited
Strong stability preserving two-step Runge-Kutta methods
David I. Ketcheson, Sigal Gottlieb, Colin B. Macdonald
We investigate the strong stability preserving (SSP) property of two-step Runge-Kutta (TSRK) methods. We prove that all SSP TSRK methods belong to a particularly simple subclass of…