303 citations · 612 across the 16 of their papers we have counts for
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math.NA2013
Discrete gradient methods have an energy conservation law
Robert I McLachlan, G R W Quispel
We show for a variety of classes of conservative PDEs that discrete gradient methods designed to have a conserved quantity (here called energy) also have a time-discrete conservati…
math.NA2013★ 11 cited
Projection methods and discrete gradient methods for preserving first integrals of ODEs
R. A. Norton, D. I. McLaren, G. R. W. Quispel +2
In this paper we study linear projection methods for approximating the solution and simultaneously preserving first integrals of autonomous ordinary differential equations. We show…
math.NA2013
Discrete gradient methods for preserving a first integral of an ordinary differential equation
Richard A. Norton, G. R. W. Quispel
In this paper we consider discrete gradient methods for approximating the solution and preserving a first integral (also called a constant of motion) of autonomous ordinary differe…