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All Preprints

2006

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• 2006-4
  Håvard Berland "Generalized affine groups in exponential integrators"



• 2006-3
  Robert McLachlan "A new implementation of symplectic Runge–Kutta methods"



• 2006-2
  Snorre H. Christiansen "A Construction of Spaces of Compatible Differential Forms on Cellular Complexes"



• 2006-1
  Hans Z. Munthe-Kaas and Will M. Wright "On the Hopf Algebraic Structure of Lie Group Integrators "




2005

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• 2005-11
  Luciano Lopez and Valeria Simoncini "Preserving geometric properties of the exponential matrix by block Krylov subspace methods"



• 2005-10
  Lopez L., Simoncini V. "Analysis of projection methods for rational function approximation to the exponential matrix "



• 2005-9
  Brynjulf Owren "Order conditions for commutator-free Lie group methods"



• 2005-8
  Sergio Blanes and Fernando Casas "Splitting methods for non-autonomous separable dynamical systems"



• 2005-7
  Hans Z. Munthe-Kaas "On Group Fourier Analysis and Symmetry Preserving Discretizations of PDEs"



• 2005-6
  Robert McLachlan and Reinout Quispel "Geometric integrators for ODEs"



• 2005-5
  Vadim B. Kuznetsov and Evgeny K. Sklyanin "Eigenproblem for Jacobi matrices: hypergeometric series solution"



• 2005-4
  E. Celledoni and N. Saefstroem "A symmetric splitting method for rigid body dynamics"



• 2005-3
  Per Christian Moan "On rigorous modified equations for discretizations of ODEs"



• 2005-002
  F. Casas and A. Iserles "Explicit Magnus expansions for nonlinear equations"



• 2005-001
  Anthony B. Bloch and Arieh Iserles "On an isospectral Lie–Poisson system and its Lie algebra"




2004

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• 2004-4
  Krister Aahlander, Hans Munthe-Kaas "On applications of the Generalized Fourier Transform in numerical linear algebra"



• 2004-003
  Siu A. Chin "The Structure of Positive Decompositions of Exponential Operators"



• 2004-002
  Borislav V. Minchev "Lie group integrators with nonautonomous frozen vector fields"



• 2004-001
  S. Blanes and C. J. Budd "Explicit Adaptive SYmplectic (EASY) integrators: a scaling invariant generalization of the Levi-Civita and KS regularizations"




2003

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• 2003-011
  Siu A. Chin "Quantum Statistical Calculations and Symplectic Corrector Algorithms"



• 2003-010
  S. Blanes, F. Casas and A. Murua "Composition methods for differential equations with processing"



• 2003-009
  R. I. McLachlan and A. Zanna "The Discrete Moser--Veselov algorithm for the free Rigid Body, revisited"



• 2003-008
  Elena Celledoni "Eulerian and Semi-Lagrangian schemes based on commutator free exponential integrators"



• 2003-007
  Ander Murua "The Hopf algebra of rooted trees, free Lie algebras, and Lie series "



• 2003-006
  H. Berland and B. Owren "Algebraic structures on ordered rooted trees and their significance to Lie group integrators"



• 2003-005
  S. Krogstad, H. Z. Munthe-Kaas and A. Zanna "Generalized Polar Coordinates on Lie groups and Numerical Integrators"



• 2003-004
  S. Blanes and F. Casas "On the existence of positive coefficients for operator splitting schemes of order higher than two"



• 2003-003
  A. Iserles and A.Zanna "On the spectra of certain matrices generated by involutory automorphisms"



• 2003-002
  Roman Kozlov, Anne Kværnø and Brynjulf Owren "The behaviour of the local error in splitting methods applied to stiff problems"



• 2003-001
  Uri Ascher and Robert McLachlan "Multisymplectic box schemes and the Korteweg-de Vries equation"




2002

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• 2002-019
  Per Christian Moan "On the KAM and Nekhoroshev theorems for symplectic integrators and implications for error growth"



• 2002-018
  Fernando Casas and Brynjulf Owren "Cost efficient Lie group integrators in the RKMK class"



• 2002-017
  David Cohen, Ernst Hairer and Christian Lubich "Modulated Fourier expansions of highly oscillatory differential equations"



• 2002-016
  Ernst Hairer and Martin Hairer "GniCodes - Matlab programs for geometric numerical integration"



• 2002-015
  Ernst Hairer, Christian Lubich and Gerhard Wanner "Geometric numerical integration illustrated by the Störmer-Verlet method"



• 2002-014
  Takanori Ide and Masami Okada "Numerical simulation for nonlinear partial differential Equation with variable coefficients by means of the discrete variational method"



• 2002-013
  S. Blanes, F. Casas and A. Murua "On the numerical integration of ordinary differential equations by processed methods"



• 2002-012
  S. Blanes and C. J. Budd "Explicit, Adaptive, Symplectic(EASY) Integrators using Scale Invariant Regularisations and Canonical Transformations"



• 2002-011
  Robert I McLachlan and Brett Ryland "The algebraic entropy of classical mechanics"



• 2002-010
  Hans Munthe-Kaas and Stein Krogstad "On enumeration problems in Lie-Butcher theory"



• 2002-009
  Arieh Iserles and Antonella Zanna "Efficient computation of the matrix exponential by Generalized Polar Decompositions"



• 2002-008
  Robert I. McLachlan, Matthew Perlmutter, and G. Reinout W. Quispel "Lie group foliations: Dynamical systems and integrators"



• 2002-007
  E. Hairer "Global modified Hamiltonian for constrained symplectic integrators"



• 2002-006
  Elena Celledoni, Arne Marthinsen and Brynjulf Owren "Commutator-free Lie group methods"



• 2002-005
  Vadim B. Kuznetsov and Pol Vanhaecke "Backlund transformations for finite-dimensional integrable systems: a geometric approach"



• 2002-004
  Marlis Hochbruck and Christian Lubich "On Magnus integrators for time-dependent Schrödinger equations"



• 2002-003
  A. Iserles "Expansions that grow on trees"



• 2002-002
  H. Z. Munthe-Kaas, G. R. W. Quispel and A. Zanna "Applications of symmetric spaces and Lie triple systems in Numerical Analysis"



• 2002-001
  A. Zanna "Error analysis for exponential splitting based on the Generalized Polar Decomposition I: Local and global bounds"




2001

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• 2001-013
  A. Suslowicz "Application of numerical Lie group integrators to parabolic PDEs"



• 2001-012
  E. Celledoni and B. Owren "On the implementation of Lie group methods on the Stiefel manifold"



• 2001-011
  Arieh Iserles "Brief introduction to Lie-group methods"



• 2001-010
  Arieh Iserles "On the discretization of double-bracket flows"



• 2001-009
  C.J. Budd and M.D. Piggott "Geometric integration and its applications"



• 2001-008
  Arieh Iserles "Think globally, act locally: solving highly-oscillatory ordinary differential equations"



• 2001-007
  Leanne Allen and Thomas J Bridges "Numerical exterior algebra and the compound matrix method"



• 2001-006
  Stein Krogstad "A low complexity Lie group method on the Stiefel manifold"



• 2001-005
  Robert I McLachlan and Matthew Perlmutter "Energy drift in reversible time integration"



• 2001-004
  S. Blanes, F. Casas and J. Ros "HIGH ORDER OPTIMIZED GEOMETRIC INTEGRATORS FOR LINEAR DIFFERENTIAL EQUATIONS"



• 2001-003
  Robert I McLachlan and G R W Quispel "What kinds of dynamics are there? Lie pseudogroups, dynamical systems, and geometric integration"



• 2001-002
  Robert I McLachlan "Families of high-order composition methods"



• 2001-001
  E. Celledoni and B. Owren "A class of low complexity intrinsic schemes for orthogonal integration"




2000

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• 2000-008
  E. Celledoni "A note on the numerical integration of the KdV equation via isospectral deformations"



• 2000-007
  A. Iserles "A Magnus expansion for the equation $Y'=AY-YB$"



• 2000-006
  A. Iserles "On the global error of discretization methods for highly-oscillatory ordinary differential equations"



• 2000-005
  A.N.W. Hone, V.B. Kuznetsov and O. Ragnisco "Backlund transformations for the sl(2) Gaudin Magnet"



• 2000-004
  Ernst Hairer "Geometric integration of ordinary differential equations on manifolds"



• 2000-003
  Arieh Iserles "Numerical analysis in Lie groups"



• 2000-002
  Antonella Zanna and Hans Z. Munthe-Kaas "Generalized polar decompositions for the approximation of the matrix exponential"



• 2000-001
  Kenth Engø "On the BCH-formula in so(3)"




1999

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• 1999-007
  S. Faltinsen, A. Marthinsen and H. Z. Munthe-Kaas "Multistep Methods Integrating Ordinary Differential Equations on Manifolds"



• 1999-006
  E. Celledoni, A. Iserles, S.P. Nørsett and B. Orel "Complexity theory for Lie-group solvers"



• 1999-005
  Arieh Iserles and Antonella Zanna "Preserving algebraic invariants with Runge-Kutta methods"



• 1999-004
  Arieh Iserles and Antonella Zanna "On the dimension of certain graded Lie algebras arising in geometric integration of differential equations"



• 1999-003
  Arieh Iserles "On Cayley-transform methods for the discretization of Lie-group equations"



• 1999-002
  Elena Celledoni and Arieh Iserles "Methods for the approximation of the matrix exponential in a Lie-algebraic setting"



• 1999-001
  Antonella Zanna "Collocation and relaxed collocation for the Fer and the Magnus expansions"