103 citations · 103 across the 2 of their papers we have counts for
2 papers
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…
math-ph1998★ 103 cited
A unified approach to Hamiltonian systems, Poisson systems, gradient systems, and systems with Lyapunov functions and/or first integrals
Robert I McLachlan, GRW Quispel, Nicolas Robidoux
Systems with a first integral (i.e., constant of motion) or a Lyapunov function can be written as ``linear-gradient systems'' for an appropriate matrix fu…