Research activity

List of publications:

Articles in Journals

  1. (with I. Moret) A Krylov projection method for systems of ODEs, Appl. Num. Math. 24: 365-378, August 1997.
  2. Discrete QMR and BCG in the numerical solution od linear systems of ODEs, J. CAM 91 (1), April 1998.
  3. (with A. Iserles) Approximating the matrix exponential from a Lie algebra to a Lie group, Math. Comp. 69 (2000), 1457-1480.
  4. A note on the numerical integration of the KdV equation via isospectral deformations, Journal of Physics A: Mathematical and General 34 (2001) 2205-2214.
  5. (with A. Iserles) Methods for the approximation of the matrix exponential in a Lie-algebraic setting, IMA Journal of Numerical Analysis, Vol. 21 (2001), pp. 463-488.
  6. (with A. Iserles and S. P. Nørsett and B. Orel) Complexity theory for Lie-group solvers, Journal of Complexity, Vol 18, n. 1, 2002.
  7. (with B. Owren) A class of intrinsic schemes for orthogonal integration SIAM J. Num. Anal. Vol. 40, n. 6, pp. 2069-2084.
  8. (with B. Owren) Lie group methods for rigid body dynamics and time integration on manifolds, Comput. meth. in Appl. Mech. and Eng., Vol 19, n. 3-4, pp 421-438, 2003.
  9. (with A. Marthinsen and B. Owren) Commutator-free Lie gorup methods, Future Generation Computer Systems, Volume/Issue: vol 19/3, pp 341 - 352.
  10. (with B. Owren) On the implementation of Lie group methods on the Stiefel manifold, Numerical Algorithms, vol. 32 (2003), no. 2-4, pp 163-183.
  11. (with S. Fiori) Neural Learning by Geometric Integration of Reduced 'Rigid Body' Equations in J. CAM vol 172 (2004) 247-269.
  12. Eulerian and Semi-Lagrangian schemes based on commutator free exponential integrators, CRM Proceedings and Lecture notes, ISSN: 1065-8580, Vol. 39, 2005.

Articles in Conference Proceedings

  1. (with G. Johannessen and T. Kvamsdal ) Parallelization of a CFD code: the use of Aztec library in the parallel numerical simulation of Extrusion of Aluminium in Proceedings of the Parallel CFD Conference (May 22-25, 2000), Jenssen et al. editors, North - Holland, pp. 291--298.
  2. (with T. Kvamsdal) Parallel time solver for the transient Stokes problem In NSCM 17: Proceedings of the 17th Nordic Seminar in Computational Mechanics, Stockholm, Sweden, 15th-16th October 2004.
  3. (with T. Kvamsdal) Parallelism in time for the solution of the time dependent Stokes problem In Proceedings of the International Conference on Parallel CFD, Gran Canary, Carary Island, Spain 24th-27th May 2004.
  4. (with N. Saefstoem) A symmetric splitting method for rigid body dynamics, Proceedings of the SIMS 2005 Conference, Trondheim, October 13th-14th, 2005.
  5. (with N. Saefstoem) A symmetric splitting method for rigid body dynamics, Journal of Modeling Identification and Control (A Norwegian Research bulletin), 2006.
  6. Semi-Lagrangian methods and new integrators for convection dominated problems Oberwolfach Reports march 2006
  7. Exponential integrators for convection dominated problems Oberwolfach Reports april 2006

Reports

  1. (with N. Saefstroem) Efficient time-symmetric simulation of torqued rigid bodies using Jacobi elliptic functions, NTNU Report October 2005, (to appear in Journal of Physics A, special issue on Geometric Integration).

Other manuscripts

  1. Sulla risoluzione numerica delle equazioni di Navier-Stokes tramite metodi di Krylov, Quad. Mat. n . 314, Dip. Sci. Mat. Università di Trieste (December 1993).
  2. A comparison of Krylov subspace methods for systems of ODEs, Quad. Mat. n. 317, Dip. Sci. Mat. Università di Trieste. (January 1994)
  3. Step-size selection in time integration of PDEs, November 2001. stepsizeS.ps and stepsizeS.pdf
  4. Notes on the filtering procedure for spectral element methods, April 2002. pres.ps

The introduction and bibliography of my PhD thesis "Krylov subspace methods for linear systems of ODEs" can be found here.

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