All Preprints
2008
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2007
2006
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2005
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2003
 2003011
Siu A. Chin
"Quantum Statistical Calculations and Symplectic Corrector Algorithms"
 2003010
S. Blanes, F. Casas and A. Murua
"Composition methods for differential equations with processing"
 2003009
R. I. McLachlan and A. Zanna
"The Discrete MoserVeselov algorithm for the free Rigid Body, revisited"
 2003008
Elena Celledoni
"Eulerian and SemiLagrangian schemes based on commutator free exponential integrators"
 2003007
Ander Murua
"The Hopf algebra of rooted trees, free Lie algebras, and Lie series
"
 2003006
H. Berland and B. Owren
"Algebraic structures on ordered rooted trees and their significance to Lie group integrators"

2003005
S. Krogstad, H. Z. MuntheKaas and A. Zanna
"Generalized Polar Coordinates on Lie
groups and Numerical Integrators"

2003004
S. Blanes and F. Casas
"On the existence of positive coefficients for
operator splitting schemes of order higher than two"

2003003
A. Iserles and A.Zanna
"On the spectra of certain matrices generated by involutory
automorphisms"

2003002
Roman Kozlov, Anne Kværnø and Brynjulf Owren
"The behaviour of the local error in splitting methods applied to stiff problems"

2003001
Uri Ascher and Robert McLachlan
"Multisymplectic box schemes and the Kortewegde Vries equation"
2002

2002019
Per Christian Moan
"On the KAM and Nekhoroshev theorems for symplectic integrators and implications for error growth"

2002018
Fernando Casas and Brynjulf Owren
"Cost efficient Lie group integrators in the RKMK class"

2002017
David Cohen, Ernst Hairer and Christian Lubich
"Modulated Fourier expansions of
highly oscillatory differential equations"

2002016
Ernst Hairer and Martin Hairer
"GniCodes  Matlab programs for geometric numerical integration"

2002015
Ernst Hairer, Christian Lubich and Gerhard Wanner
"Geometric numerical integration illustrated by the StörmerVerlet method"

2002014
Takanori Ide and Masami Okada
"Numerical simulation for nonlinear partial differential Equation
with variable coefficients by means of the discrete variational
method"

2002013
S. Blanes, F. Casas and A. Murua
"On the numerical integration of ordinary differential
equations by processed methods"

2002012
S. Blanes and C. J. Budd
"Explicit, Adaptive, Symplectic(EASY) Integrators using Scale
Invariant Regularisations and Canonical Transformations"

2002011
Robert I McLachlan and Brett Ryland
"The algebraic entropy of classical mechanics"

2002010
Hans MuntheKaas and Stein Krogstad
"On enumeration problems in LieButcher theory"

2002009
Arieh Iserles and Antonella Zanna
"Efficient computation of the matrix exponential by Generalized Polar
Decompositions"

2002008
Robert I. McLachlan, Matthew Perlmutter, and G. Reinout W. Quispel
"Lie group foliations:
Dynamical systems and integrators"

2002007
E. Hairer
"Global modified Hamiltonian for constrained symplectic integrators"

2002006
Elena Celledoni, Arne Marthinsen and Brynjulf Owren
"Commutatorfree Lie group methods"

2002005
Vadim B. Kuznetsov and Pol Vanhaecke
"Backlund transformations for finitedimensional integrable systems: a geometric approach"

2002004
Marlis Hochbruck and Christian Lubich
"On Magnus integrators for timedependent Schrödinger equations"

2002003
A. Iserles
"Expansions that grow on trees"

2002002
H. Z. MuntheKaas, G. R. W. Quispel and A. Zanna
"Applications of symmetric spaces and Lie triple systems in
Numerical Analysis"

2002001
A. Zanna
"Error analysis for exponential splitting based on the Generalized
Polar Decomposition I: Local and global bounds"
2001

2001013
A. Suslowicz
"Application of numerical Lie group integrators to parabolic PDEs"

2001012
E. Celledoni and B. Owren
"On the implementation of Lie group methods on the Stiefel manifold"

2001011
Arieh Iserles
"Brief introduction to Liegroup methods"

2001010
Arieh Iserles
"On the discretization of doublebracket flows"

2001009
C.J. Budd and M.D. Piggott
"Geometric integration and its applications"

2001008
Arieh Iserles
"Think globally, act locally: solving highlyoscillatory ordinary differential equations"

2001007
Leanne Allen and Thomas J Bridges
"Numerical exterior algebra and the compound matrix method"

2001006
Stein Krogstad
"A low complexity Lie group method on the Stiefel manifold"

2001005
Robert I McLachlan and Matthew Perlmutter
"Energy drift in reversible time integration"

2001004
S. Blanes, F. Casas and J. Ros
"HIGH ORDER OPTIMIZED GEOMETRIC INTEGRATORS FOR
LINEAR DIFFERENTIAL EQUATIONS"

2001003
Robert I McLachlan and
G R W Quispel
"What kinds of dynamics are there?
Lie pseudogroups, dynamical systems, and geometric integration"

2001002
Robert I McLachlan
"Families of highorder composition methods"

2001001
E. Celledoni and B. Owren
"A class of low complexity intrinsic schemes for
orthogonal integration"
2000

2000008
E. Celledoni
"A note on the numerical integration of the KdV equation via isospectral deformations"

2000007
A. Iserles
"A Magnus expansion for the equation $Y'=AYYB$"

2000006
A. Iserles
"On the global error of discretization methods for highlyoscillatory ordinary differential equations"

2000005
A.N.W. Hone, V.B. Kuznetsov and O. Ragnisco
"Backlund transformations for the sl(2) Gaudin Magnet"

2000004
Ernst Hairer "Geometric integration of
ordinary differential equations on manifolds"

2000003
Arieh Iserles "Numerical analysis in Lie groups"

2000002
Antonella Zanna and Hans Z. MuntheKaas "Generalized polar decompositions for the approximation of the matrix exponential"

2000001
Kenth Engø "On the BCHformula in so(3)"
1999

1999007
S. Faltinsen, A. Marthinsen and H. Z. MuntheKaas
"Multistep Methods Integrating Ordinary Differential Equations on Manifolds"

1999006
E. Celledoni, A. Iserles, S.P. Nørsett and B. Orel
"Complexity theory for Liegroup solvers"

1999005
Arieh Iserles and Antonella Zanna "Preserving
algebraic invariants with RungeKutta methods"

1999004
Arieh Iserles and Antonella Zanna "On
the dimension of certain graded Lie algebras arising in geometric
integration of differential equations"

1999003
Arieh Iserles "On Cayleytransform methods
for the discretization of Liegroup equations"

1999002
Elena Celledoni and Arieh Iserles "Methods for the approximation of the matrix exponential in a Liealgebraic setting"

1999001
Antonella Zanna "Collocation and relaxed collocation for the Fer and the Magnus expansions"
