Publications


Reports

  • E. Celledoni, V. Grimm, R. McLachlan, D.I McLaren, D. O'Neale, B. Owren, R. Quispel, Energy-preserving integrators and the structure of B-series. NTNU reports, Numerics No 7/09.

Journal Articles

  • E. Celledoni and B. Kometa Semi-Lagrangian multistep methods for index 2 differential algebraic systems. NTNU reports, Numerics No 3/10. J. of Comp. Phys.
  • E. Celledoni, RI McLachlan, B Owren, GWR Quispel, On conjugate B-series and their geometric structure JNAIAM.
  • E. Celledoni, R. McLachlan, B. Owren, R. Quispel, Energy-preserving integrators and the structure of B-series. J. of FoCM, vol 10, pp 673-693.
  • E. Celledoni, N. Säfström, Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions. CMAME, 199(45-48), pp. 2813-2819.
  • E. Celledoni, R. McLachlan, B. Owren, R. Quispel, Energy-preserving integrators and the structure of B-series. NTNU reports, Numerics No 5/09.
  • E. Celledoni and A. Zanna, FRB-FORTRAN routines for the exact computation of free rigid body motions,ACM ToMS, vol 37 nr. 2 (2010). NTNU reports, Numerics No.7/08. Submitted to ACM ToMS.
  • E. Celledoni, R. McLachlan, D. McLaren, B. Owren, R. Quispel and W. Wright, Energy-preserving Runge-Kutta methods. M2AN (Mathematical Modelling and Numerical Analysis), vol 43 (4), 645-649. See also NTNU reports, Numerics No.6/08.
  • I. Degani, A. Zanna, L. Saelen, and R. Nepstad, Quantum control with piecewise constant control functions, SIAM J. on Scientific Computing, 3566-3594, 5, 31, 1064-8275.
  • 2009, Celledoni E, Kometa BK, Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems, JOURNAL OF SCIENTIFIC COMPUTING, 139-164, 1, 41, 0885-7474.
  • 2009, Stein Krogstad , Hans Z. Munthe-Kaas , Antonella Zanna, Generalized Polar Coordinates on Lie groups and Numerical Integrators, Num. Math. Online DOI 10.1007/s00211-009-0255-1.
  • 2009, Dahlby M, Owren B, PLANE WAVE STABILITY OF SOME CONSERVATIVE SCHEMES FOR THE CUBIC SCHRODINGER EQUATION, ESAIM-MATHEMATICAL MODELLING AND NUMERICAL ANALYSIS-MODELISATION MATHEMATIQUE ET ANALYSE NUMERIQUE, 677-687, 4, 43, 0764-583X.
  • 2009, Calin O, Chang DC, Markina I, SubRiemannian Geometry on the Sphere S-3, CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES, 721-739, 4, 61, 0008-414X
  • 2009, Korolko A, Markina I, Nonholonomic Lorentzian Geometry on Some H-Type Groups, JOURNAL OF GEOMETRIC ANALYSIS, 864-889, 4,19, 1050-6926
  • 2009, Chang DC, Markina I, Vasil'ev A, Sub-Riemannian Geodesics on the 3-D Sphere, COMPLEX ANALYSIS AND OPERATOR THEORY, 361-377, 2, 3, 1661-8254
  • 2009, Calin O, Chang DC, Markina I, Geometric analysis on H-type groups related to division algebras, MATHEMATISCHE NACHRICHTEN 44-68, 1, 282 , 0025-584X
  • McLachlan, R. I.; Munthe-Kaas, H. Z.; Quispel, G. R. W.; Zanna, A. Explicit volume-preserving splitting methods for linear and quadratic divergence-free vector fields. Found. Comput. Math. 8 (2008), no. 3, 335–355.
  • E. Celledoni, F. Fasso', N. Saefsroem and A. Zanna, The exact computation of the free rigid body motion and its use in splitting methods, SIAM J. Sci. Comp. vol 30 issue 4, pp. 2084-2112, 2008.
  • E. Celledoni and S. Fiori, Descent methods for optimization on homogenous manifolds, J. of Mathematics and Computers in Simulation, 79 (2008) pp. 1298-1323.
  • McLachlan, Robert I.; Zanna, Antonella, The discrete Moser-Veselov algorithm for the free rigid body, revisited. Found. Comput. Math. 5 (2005), no. 1, 87–123.

Proceeding articles

  • 2009, B. Owren, E. Celledoni, R.I. McLachlan, R. Quispel. Structure of B-series for some classes of geometric integrators. 7th International Conference of Numerical Analysis and Applied Mathematics; 2009-09-18 - 2009-09-22.
  • 2009, G. Jensen, N. Säfstöm, T.D. Nguyen and T.I. Fossen, Modelling and Control of Suspended Pipeline during Pipe-lay Operation Based on a Finite Strain Beam, Proceedings of the American Control Conference; 2009-06-10 - 2009-06-12. IEEE/IET, 4717 - 4722, 2009, ISBN: 978-1-4244-4524-0 ISSN: 0743-1619, St. Luis.
  • 2009, E. Celledoni and N. Säfström, An elastic beam rod modell and its Hamiltonian structure, 7th International Conference of Numerical Analysis and Applied Mathematics; 2009-09-18 - 2009-09-22.
  • 2009, Quantitative assessment of kidney function using dynamic contrast enhanced MRI – Steps towards an integrated software prototype ,A. Anderlik, A. Z. Munthe-Kaas, O. K. Øye, E. Eikefjord, J. Rørvik, D. M. Ulvang,F. G. Z öllner, A. Lundervold, Proceedings of 6th International Symposium on Image and Signal Processing and Analysis.
  • E. Celledoni and N. Säfström, A geometricaly exact rod model and its Hamiltonian structure, ICNAAM 2009.
2011-04-15, Elena Celledoni