Generalized Polar Decompositions on Lie Groups with Involutive Automorphisms. - Hans Z. Munthe-Kaas; G. R. W. Quispel; Antonella Zanna (Found. Comput. Math., 2001)

Lie group foliations: dynamical systems and integrators. - Robert I. McLachlan; Matthew Perlmutter; G. R. W. Quispel (Future Gener. Comput. Syst., 2003)

Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields. - Robert I. McLachlan; Hans Z. Munthe-Kaas; G. R. W. Quispel; Antonella Zanna (Found. Comput. Math., 2008)

Energy-Preserving Integrators and the Structure of B-series. - Elena Celledoni; Robert I. McLachlan; Brynjulf Owren; G. R. W. Quispel (Found. Comput. Math., 2010)

Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method. - Elena Celledoni; Volker Grimm; Robert I. McLachlan; David I. McLaren; Dion R. J. O'Neale; Brynjulf Owren; G. R. W. Quispel (J. Comput. Phys., 2012)

Symbolic Computation of Lax Pairs of Partial Difference Equations using Consistency Around the Cube. - Terry Bridgman; Willy Hereman; G. R. W. Quispel; Peter H. van der Kamp (Found. Comput. Math., 2013)

QRT maps and related Laurent systems. - K. Hamad; Andrew N. W. Hone; Peter H. van der Kamp; G. R. W. Quispel (Adv. Appl. Math., 2018)

Analogues of Kahan's method for higher order equations of higher degree. - Andrew N. W. Hone; G. R. W. Quispel (CoRR, 2019)

Deducing properties of ODEs from their discretization. - G. R. W. Quispel; David I. McLaren; C. Evripidou (CoRR, 2021)

A Geometric Integration Approach to Nonsmooth, Nonconvex Optimisation. - Erlend Skaldehaug Riis; Matthias J. Ehrhardt; G. R. W. Quispel; Carola-Bibiane Schönlieb (Found. Comput. Math., 2022)

Birational maps from polarization and the preservation of measure and integrals. - Robert I. McLachlan; David I. McLaren; G. R. W. Quispel (CoRR, 2023)

An Elementary Construction of Modified Hamiltonians and Modified Measures of 2D Kahan Maps. - Giorgio Gubbiotti; David I. McLaren; Reinout Quispel (CoRR, 2023)

Measure preservation and integrals for Lotka-Volterra T-systems and their Kahan discretisation. - Peter H. van der Kamp; Robert I. McLachlan; David I. McLaren; G. R. W. Quispel (CoRR, 2023)

Using aromas to search for preserved measures and integrals in Kahan's method. - Geir Bogfjellmo; Elena Celledoni; Robert I. McLachlan; Brynjulf Owren; Reinout Quispel (Math. Comput., 2023)

Discrete gradients in short-range molecular dynamics simulations. - Volker Grimm; Tobias Kliesch; G. R. W. Quispel (Numer. Algorithms, 2024)