| Splitting methods RI McLachlan, GRW Quispel Acta Numerica 11 (0), 341-434, 2002 | 918 | 2002 |
| Geometric integration using discrete gradients RI McLachlan, GRW Quispel, N Robidoux Philosophical Transactions of the Royal Society of London. Series A …, 1999 | 567 | 1999 |
| Surface exponents of the quantum XXZ, Ashkin-Teller and Potts models FC Alcaraz, MN Barber, MT Batchelor, RJ Baxter, GRW Quispel Journal of Physics A: mathematical and general 20, 6397, 1987 | 552 | 1987 |
| Integrable mappings and soliton equations II GRW Quispel, JAG Roberts, CJ Thompson Physica D: Nonlinear Phenomena 34 (1-2), 183-192, 1989 | 459 | 1989 |
| A new class of energy-preserving numerical integration methods GRW Quispel, DI McLaren Journal of Physics A: Mathematical and Theoretical 41, 045206, 2008 | 422 | 2008 |
| Chaos and time-reversal symmetry. Order and chaos in reversible dynamical systems JAG Roberts, GRW Quispel Physics Reports 216 (2-3), 63-177, 1992 | 340 | 1992 |
| Integrable mappings and soliton equations GRW Quispel, JAG Roberts, CJ Thompson Physics Letters A 126 (7), 419-421, 1988 | 304 | 1988 |
| Preserving energy resp. dissipation in numerical PDEs using the “Average Vector Field” method E Celledoni, V Grimm, RI McLachlan, DI McLaren, D O’Neale, B Owren, ... Journal of Computational Physics 231 (20), 6770-6789, 2012 | 299 | 2012 |
| Direct linearization of nonlinear difference-difference equations FW Nijhoff, GRW Quispel, HW Capel Physics Letters A 97 (4), 125-128, 1983 | 242 | 1983 |
| Conformal anomaly and surface energy for Potts and Ashkin-Teller quantum chains CJ Hamer, GRW Quispel, MT Batchelor Journal of Physics A: Mathematical and General 20, 5677, 1987 | 213 | 1987 |
| Linear integral equations and nonlinear difference-difference equations GRW Quispel, FW Nijhoff, HW Capel, J Van der Linden Physica A: Statistical and Theoretical Physics 125 (2-3), 344-380, 1984 | 213 | 1984 |
| Geometric integrators for ODEs RI McLachlan, GRW Quispel Journal of Physics A: Mathematical and General 39, 5251, 2006 | 201 | 2006 |
| Energy-preserving Runge-Kutta methods E Celledoni, RI McLachlan, DI McLaren, B Owren, G Reinout W Quispel, ... ESAIM: Mathematical Modelling and Numerical Analysis 43 (04), 645-649, 2009 | 158 | 2009 |
| Continuous symmetries of differential-difference equations: the Kac-van Moerbeke equation and Painlevé reduction GRW Quispel, HW Capel, R Sahadevan Physics Letters A 170 (5), 379-383, 1992 | 147 | 1992 |
| Equation of motion for the Heisenberg spin chain GRW Quispel, HW Capel Physica A: Statistical and Theoretical Physics 110 (1-2), 41-80, 1982 | 138 | 1982 |
| QRT maps and related Laurent systems K Hamad, ANW Hone, PH van der Kamp, GRW Quispel Advances in Applied Mathematics 96, 216-248, 2018 | 135* | 2018 |
| The lattice Gel'fand-Dikii hierarchy FW Nijhoff, VG Papageorgiou, HW Capel, GRW Quispel Inverse Problems 8, 597, 1992 | 133 | 1992 |
| Discrete gradient methods for solving ODEs numerically while preserving a first integral GRW Quispel, GS Turner Journal of Physics A: Mathematical and General 29, L341, 1996 | 121 | 1996 |
| Unified approach to Hamiltonian systems, Poisson systems, gradient systems, and systems with Lyapunov functions or first integrals RI McLachlan, GRW Quispel, N Robidoux Physical Review Letters 81 (12), 2399-2403, 1998 | 115 | 1998 |
| Integrable mappings derived from soliton equations GRW Quispel, HW Capel, VG Papageorgiou, FW Nijhoff Physica A: Statistical Mechanics and its Applications 173 (1-2), 243-266, 1991 | 115 | 1991 |
Robert McLachlanProfessor of Applied Mathematics, Massey UniversityVerified email at massey.ac.nz
