128 citations · 592 across the 51 of their papers we have counts for
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math.NA1999★ 10 cited
Area preservation in computational fluid dynamics
Robert I McLachlan
Incompressible two-dimensional flows such as the advection (Liouville) equation and the Euler equations have a large family of conservation laws related to conservation of area. We…
math.NA1999
Antisymmetry, pseudospectral methods, and conservative PDEs
Robert McLachlan, Nicolas Robidoux
`Dual composition', a new method of constructing energy-preserving discretizations of conservative PDEs, is introduced. It extends the summation-by-parts approach to arbitrary diff…