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Robert I. McLachlan
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2020 – today
- 2024
- [j34]Indranil Ghosh
, Robert I. McLachlan, David J. W. Simpson:
The bifurcation structure within robust chaos for two-dimensional piecewise-linear maps. Commun. Nonlinear Sci. Numer. Simul. 134: 108025 (2024) - [j33]Robert I. McLachlan, Ari Stern:
Functional Equivariance and Conservation Laws in Numerical Integration. Found. Comput. Math. 24(1): 149-177 (2024) - 2023
- [j32]Geir Bogfjellmo, Elena Celledoni, Robert I. McLachlan, Brynjulf Owren
Using aromas to search for preserved measures and integrals in Kahan's method. Math. Comput. 93(348): 1633-1653 (2023) - [i11]Adrien Laurent, Robert I. McLachlan, Hans Z. Munthe-Kaas, Olivier Verdier:
The aromatic bicomplex for the description of divergence-free aromatic forms and volume-preserving integrators. CoRR abs/2301.10998 (2023) - [i10]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) - [i9]Robert I. McLachlan:
Runge-Kutta methods determined from extended phase space methods for Hamiltonian systems. CoRR abs/2308.06516 (2023) - [i8]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
- [i7]Robert I. McLachlan, Christian Offen
Backward error analysis for conjugate symplectic methods. CoRR abs/2201.03911 (2022) - [i6]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) - 2021
- [j31]Stephen Marsland
Analysing 'Simple' Image Registrations. J. Math. Imaging Vis. 63(4): 528-540 (2021) - [i5]Robert I. McLachlan:
Tuning symplectic integrators is easy and worthwhile. CoRR abs/2104.10269 (2021) - [i4]Robert I. McLachlan, Ari Stern:
Functional equivariance and conservation laws in numerical integration. CoRR abs/2111.10042 (2021) - 2020
- [j30]Robert I. McLachlan
Multisymplecticity of Hybridizable Discontinuous Galerkin Methods. Found. Comput. Math. 20(1): 35-69 (2020) - [j29]Robert I. McLachlan
Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation. Found. Comput. Math. 20(6): 1363-1400 (2020) - [j28]Stephen Marsland, Robert I. McLachlan
Parallelization, initialization, and boundary treatments for the diamond scheme. Numer. Algorithms 84(2): 761-779 (2020) - [i3]Elena Celledoni, Matthias J. Ehrhardt
Structure preserving deep learning. CoRR abs/2006.03364 (2020) - [i2]Robert I. McLachlan, Christian Offen
Backward error analysis for variational discretisations of partial differential equations. CoRR abs/2006.14172 (2020)
2010 – 2019
- 2019
- [j27]James Benn, Stephen Marsland
Currents and Finite Elements as Tools for Shape Space. J. Math. Imaging Vis. 61(8): 1197-1220 (2019) - [j26]Robert I. McLachlan
Symplectic integration of boundary value problems. Numer. Algorithms 81(4): 1219-1233 (2019) - 2017
- [j25]Robert I. McLachlan
A minimal-variable symplectic integrator on spheres. Math. Comput. 86(307): 2325-2344 (2017) - 2016
- [j24]Robert I. McLachlan
Geometry of Discrete-Time Spin Systems. J. Nonlinear Sci. 26(5): 1507-1523 (2016) - [j23]Robert I. McLachlan
B-series methods are exactly the affine equivariant methods. Numerische Mathematik 133(3): 599-622 (2016) - [i1]Stephen Marsland, Robert I. McLachlan:
Möbius invariants of shapes and images. CoRR abs/1603.09335 (2016) - 2015
- [j22]Robert I. McLachlan
The Multisymplectic Diamond Scheme. SIAM J. Sci. Comput. 37(1) (2015) - 2014
- [j21]Robert I. McLachlan
Geometric Generalisations of shake and rattle. Found. Comput. Math. 14(2): 339-370 (2014) - [j20]Robert I. McLachlan
Modified Trigonometric Integrators. SIAM J. Numer. Anal. 52(3): 1378-1397 (2014) - [j19]Robert I. McLachlan
High Order Multisymplectic Runge-Kutta Methods. SIAM J. Sci. Comput. 36(5) (2014) - 2013
- [j18]Stephen R. Marsland, Robert I. McLachlan
Geodesic Warps by Conformal Mappings. Int. J. Comput. Vis. 105(2): 144-154 (2013) - [j17]Robert I. McLachlan
Symplectic Integrators for Index 1 Constraints. SIAM J. Sci. Comput. 35(5) (2013) - 2012
- [j16]Elena Celledoni, Volker Grimm
Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method. J. Comput. Phys. 231(20): 6770-6789 (2012) - 2011
- [j15]Robert I. McLachlan
Asymptotic Blowup Profiles for Modified Camassa-Holm Equations. SIAM J. Appl. Dyn. Syst. 10(2): 452-468 (2011) - [j14]Robert I. McLachlan
Linear Stability of Partitioned Runge-Kutta Methods. SIAM J. Numer. Anal. 49(1): 232-263 (2011) - 2010
- [j13]Elena Celledoni, Robert I. McLachlan
Energy-Preserving Integrators and the Structure of B-series. Found. Comput. Math. 10(6): 673-693 (2010) - [j12]Robert I. McLachlan
Preservation and destruction of periodic orbits by symplectic integrators. Numer. Algorithms 53(2-3): 343-362 (2010)
2000 – 2009
- 2008
- [j11]Robert I. McLachlan
Explicit Volume-Preserving Splitting Methods for Linear and Quadratic Divergence-Free Vector Fields. Found. Comput. Math. 8(3): 335-355 (2008) - [j10]Brett N. Ryland, Robert I. McLachlan
On Multisymplecticity of Partitioned Runge-Kutta Methods. SIAM J. Sci. Comput. 30(3): 1318-1340 (2008) - 2007
- [j9]Brett N. Ryland, Robert I. McLachlan
On the multisymplecticity of partitioned Runge-Kutta and splitting methods. Int. J. Comput. Math. 84(6): 847-869 (2007) - [j8]Robert I. McLachlan
A New Implementation of Symplectic Runge-Kutta Methods. SIAM J. Sci. Comput. 29(4): 1637-1649 (2007) - [c1]Stephen R. Marsland, Robert I. McLachlan
A Hamiltonian Particle Method for Diffeomorphic Image Registration. IPMI 2007: 396-407 - 2006
- [j7]Robert I. McLachlan
Integrators for Nonholonomic Mechanical Systems. J. Nonlinear Sci. 16(4): 283-328 (2006) - [j6]Robert I. McLachlan
The Kelvin-Helmholtz Instability of Momentum Sheets in the Euler Equations for Planar Diffeomorphisms. SIAM J. Appl. Dyn. Syst. 5(4): 726-758 (2006) - 2005
- [j5]Robert I. McLachlan
The Discrete Moser-Veselov Algorithm for the Free Rigid Body, Revisited. Found. Comput. Math. 5(1): 87-123 (2005) - [j4]Uri M. Ascher, Robert I. McLachlan
On Symplectic and Multisymplectic Schemes for the KdV Equation. J. Sci. Comput. 25(1-2): 83-104 (2005) - 2003
- [j3]Robert I. McLachlan
Lie group foliations: dynamical systems and integrators. Future Gener. Comput. Syst. 19(7): 1207-1219 (2003) - 2002
- [j2]Robert I. McLachlan
Families of High-Order Composition Methods. Numer. Algorithms 31(1-4): 233-246 (2002)
1990 – 1999
- 1995
- [j1]Robert I. McLachlan:
On the Numerical Integration of Ordinary Differential Equations by Symmetric Composition Methods. SIAM J. Sci. Comput. 16(1): 151-168 (1995)
Coauthor Index
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last updated on 2024-10-07 22:09 CEST by the dblp team
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