default search action
Robert I. McLachlan
Person information
Refine list
refinements active!
zoomed in on ?? of ?? records
view refined list in
export refined list as
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
manage site settings
To protect your privacy, all features that rely on external API calls from your browser are turned off by default. You need to opt-in for them to become active. All settings here will be stored as cookies with your web browser. For more information see our F.A.Q.
Unpaywalled article links
Add open access links from to the list of external document links (if available).
Privacy notice: By enabling the option above, your browser will contact the API of unpaywall.org to load hyperlinks to open access articles. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Unpaywall privacy policy.
Archived links via Wayback Machine
For web page which are no longer available, try to retrieve content from the of the Internet Archive (if available).
Privacy notice: By enabling the option above, your browser will contact the API of archive.org to check for archived content of web pages that are no longer available. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Internet Archive privacy policy.
Reference lists
Add a list of references from ,
, and
to record detail pages.
load references from crossref.org and opencitations.net
Privacy notice: By enabling the option above, your browser will contact the APIs of crossref.org, opencitations.net, and semanticscholar.org to load article reference information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the Crossref privacy policy and the OpenCitations privacy policy, as well as the AI2 Privacy Policy covering Semantic Scholar.
Citation data
Add a list of citing articles from and
to record detail pages.
load citations from opencitations.net
Privacy notice: By enabling the option above, your browser will contact the API of opencitations.net and semanticscholar.org to load citation information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the OpenCitations privacy policy as well as the AI2 Privacy Policy covering Semantic Scholar.
OpenAlex data
Load additional information about publications from .
Privacy notice: By enabling the option above, your browser will contact the API of openalex.org to load additional information. Although we do not have any reason to believe that your call will be tracked, we do not have any control over how the remote server uses your data. So please proceed with care and consider checking the information given by OpenAlex.
last updated on 2024-10-07 21:17 CEST by the dblp team
all metadata released as open data under CC0 1.0 license
see also: Terms of Use | Privacy Policy | Imprint
dblp was originally created in 1993 at:
since 2018, dblp has been operated and maintained by:
the dblp computer science bibliography is funded and supported by: