Robert I. McLachlan

Splitting methods

Robert I. McLachlan, G. Quispel · Acta Numerica · 2002 · 632 citations

Numerical Analysis, Method Of Fundamental Solution, Vector Fields +4

Geometric integration using discrete gradients

Robert I. McLachlan, G. Quispel, Nicolas Robidoux · Philosophical Transactions of the Royal Society A Mathematical Physical and Engineering Sciences · 1999 · 522 citations

Mathematical Programming, Numerical Analysis, Engineering +16

The accuracy of symplectic integrators

Robert I. McLachlan, Pau Atela · Nonlinearity · 1992 · 366 citations

Numerical Analysis, Spectral Theory, Hamiltonian Theory +8

On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods

Robert I. McLachlan · SIAM Journal on Scientific Computing · 1995 · 360 citations

Numerical Analysis, Method Of Fundamental Solution, Numerical Computation +12

Preserving energy resp. dissipation in numerical PDEs using the “Average Vector Field” method

Elena Celledoni, Volker Grimm, Robert I. McLachlan et al. · Journal of Computational Physics · 2012 · 281 citations · Full text

Numerical Analysis, Engineering, Pde-constrained Optimization +6