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2020 – today
- 2024
- [j10]Volker Grimm
, Tobias Kliesch, G. R. W. Quispel:
Discrete gradients in short-range molecular dynamics simulations. Numer. Algorithms 96(3): 1189-1220 (2024) - 2023
- [j9]Geir Bogfjellmo, Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, Reinout Quispel:
Using aromas to search for preserved measures and integrals in Kahan's method. Math. Comput. 93(348): 1633-1653 (2023) - [i7]Robert I. McLachlan, David I. McLaren, G. R. W. Quispel:
Birational maps from polarization and the preservation of measure and integrals. CoRR abs/2303.04300 (2023) - [i6]Giorgio Gubbiotti, David I. McLaren, Reinout Quispel:
An Elementary Construction of Modified Hamiltonians and Modified Measures of 2D Kahan Maps. CoRR abs/2309.00799 (2023) - [i5]Peter H. van der Kamp, Robert I. McLachlan, David I. McLaren, G. R. W. Quispel:
Measure preservation and integrals for Lotka-Volterra T-systems and their Kahan discretisation. CoRR abs/2309.05979 (2023) - 2022
- [j8]Erlend Skaldehaug Riis, Matthias J. Ehrhardt
, G. R. W. Quispel, Carola-Bibiane Schönlieb:
A Geometric Integration Approach to Nonsmooth, Nonconvex Optimisation. Found. Comput. Math. 22(5): 1351-1394 (2022) - [i4]Geir Bogfjellmo, Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, Reinout Quispel:
Using aromas to search for preserved measures and integrals in Kahan's method. CoRR abs/2209.01094 (2022) - [i3]Volker Grimm, Tobias Kliesch, G. R. W. Quispel:
Discrete gradients in short-range molecular dynamics simulations. CoRR abs/2212.14344 (2022) - 2021
- [i2]G. R. W. Quispel, David I. McLaren, C. Evripidou:
Deducing properties of ODEs from their discretization. CoRR abs/2104.05951 (2021)
2010 – 2019
- 2019
- [i1]Andrew N. W. Hone, G. R. W. Quispel:
Analogues of Kahan's method for higher order equations of higher degree. CoRR abs/1911.03161 (2019) - 2018
- [j7]K. Hamad, Andrew N. W. Hone
, Peter H. van der Kamp
, G. R. W. Quispel:
QRT maps and related Laurent systems. Adv. Appl. Math. 96: 216-248 (2018) - 2013
- [j6]Terry Bridgman, Willy Hereman
, G. R. W. Quispel, Peter H. van der Kamp
:
Symbolic Computation of Lax Pairs of Partial Difference Equations using Consistency Around the Cube. Found. Comput. Math. 13(4): 517-544 (2013) - 2012
- [j5]Elena Celledoni, Volker Grimm
, Robert I. McLachlan
, David I. McLaren, Dion R. J. O'Neale
, Brynjulf Owren
, G. R. W. Quispel:
Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method. J. Comput. Phys. 231(20): 6770-6789 (2012) - 2010
- [j4]Elena Celledoni, Robert I. McLachlan
, Brynjulf Owren
, G. R. W. Quispel:
Energy-Preserving Integrators and the Structure of B-series. Found. Comput. Math. 10(6): 673-693 (2010)
2000 – 2009
- 2008
- [j3]Robert I. McLachlan
, Hans Z. Munthe-Kaas, G. R. W. Quispel, Antonella Zanna:
Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields. Found. Comput. Math. 8(3): 335-355 (2008) - 2003
- [j2]Robert I. McLachlan
, Matthew Perlmutter, G. R. W. Quispel:
Lie group foliations: dynamical systems and integrators. Future Gener. Comput. Syst. 19(7): 1207-1219 (2003) - 2001
- [j1]Hans Z. Munthe-Kaas, G. R. W. Quispel, Antonella Zanna:
Generalized Polar Decompositions on Lie Groups with Involutive Automorphisms. Found. Comput. Math. 1(3): 297-324 (2001)
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