2004

2003

• R. I. McLachlan and A. Zanna
  The Discrete Moser--Veselov algorithm for the free Rigid Body, revisited
  Technical Report in Informatics no. 255 (2003), University of Bergen, Norway.
  To appear in Found. Comp. Math.
• S. Krogstad, H.Z. Munthe-Kaas and A. Zanna
  Generalized Polar Coordinates on Lie groups and numerical integrators
  Technical Report in Informatics no. 244 (2003), University of Bergen, Norway.
  To appear in Numer. Math.
• A. Iserles and A. Zanna
  "On the spectra of certain matrices generated by involutive automorphisms"
  DAMTP Technical Report NA2003/02, University of Cambridge, UK.
  To appear in SIAM J. Matr. Anal.

2002

• A. Iserles and A. Zanna
  "Efficient computation of the matrix exponential by Generalized Polar Decompositions".
  To appear in SIAM J. Num. Anal
• J.-L. Hong, Y. Liu , H. Z. Munthe-Kaas and A. Zanna
  "On a multisymplectic scheme for Schroedinger equations with variable coefficients"
• A. Zanna and H. Z. Munthe-Kaas
  "Generalized polar decompositions for the approximation of the matrix exponential"
  SIAM J. Matrix Analysis, 23(3), pp.840--862, 2002.

• A. Zanna
  Error analysis for splitting methods based on the Generalized Polar Decomposition I: Local and global error
  Technical Report no. 220, December 2001, Department of Informatics, University of Bergen.
• H. Z. Munthe-Kaas, G.R. W. Quispel and A. Zanna
  "Application of symmetric spaces and Lie triple systems in numerical analysis"
  Technical Report no.217, November 2001, Department of Informatics, University of Bergen.
• A. Zanna
  "The Fer expansion and time-symmetry: a Strang-type approach"
  Applied Num. Math., 39:3-4, pp. 435--459, 2001
• M. P. Calvo, A. Iserles and A. Zanna
  "Semi-explicit methods for isospectral flows"
  Adv. Comput. Math.,14, pp. 1--24, 2001.
• H. Munthe-Kaas, G. R. W. Quispel and A. Zanna
  "The polar decomoposition on Lie groups with involutive automorphisms"
  J. FoCM, 1:3, pp.297--324, 2001
• A. Zanna, K. Engø and H. Munthe-Kaas
  "Adjoint and selfadjoint Lie-group methods"
  BIT, 41:2, pp. 395--421, 2001.

2000

• A. Iserles and A. Zanna
  "Preserving algebraic invariants with Runge--Kutta methods"
  J. Comp. Appl. Math. 125, 69--81, 2000.
• A. Zanna
  "Recurrence relation for the factors in the polar decomposition on Lie groups"
  Technical Report no. 192, May 2000, Department of Informatics, University of Bergen.
• A. Iserles, H. Z. Munthe-Kaas, S. P. Nørsett and A. Zanna
  "Lie-group methods"
  Acta Numerica 9, CUP, 215--365, 2000.
• A. Iserles and A. Zanna
  "On the dimension of certain graded Lie algebras arising in geometric integration of differential equations"
  LMS Journal of Comp. Math., 3, 44--75, 2000.

1999

• A. Iserles, R. McLachlan and A. Zanna
  "Approximately preserving symmetries in numerical integration"
  Euro J. Appl. Math., 10:419--445, 1999.
• M. P. Calvo, A. Iserles and A. Zanna
  "Conservative methods for the Toda lattice equations"
  IMA J. Num. Anal., 19(4), 509--523, 1999.
• A. Zanna
  "Collocation and relaxed collocation for the Fer and the Magnus expansions"
  SIAM J. Num. Anal., 36(4), 1145--1182, 1999.

1998

• A. Zanna
  "The Fer expansion and time-symmetry: a Strang-type approach"
  DAMTP Technical Report NA1998/14. Submitted.

1997

• H. Munthe-Kaas and A. Zanna
  "Numerical integration of differential equations on homegeneous manifolds"
  In F. Cucker, ed., Foundations of Computational Mathematics, 305--315, Springer Verlag, 1997.
• A. Zanna and H. Munthe-Kaas
  "Iterated commutators, Lie's reduction method and ordinary differential equations on matric Lie groups"
  In F. Cucker, ed., Foundations of Computational Mathematics, 434--441, Springer Verlag, 1997.
• M. P. Calvo, A. Iserles and A. Zanna
  "Numerical Solution of Isospectral Flows"
  Math. of Comp., 66, 1461--1486, 1997

1996

• Previous papers to be added