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La Trobe University
Department of Mathematics and Statistics

Staff profile

Dion O'Neale

Research Officer

School of Engineering and Mathematical Sciences

Room 319 / Physical Sciences 2

Qualifications

  • MSc (Heinrich-Heine Universitaet, Duesseldorf, 2005), PhD (Massey University, submitted 2009).

Professional involvement

  • AustMS member.

  • NZMS member.

Research interests

  • My main research interests include Geometric Numerical Integration and Dynamical Systems, in particular, numerical integrators for Hamiltonian differential equations.

  • My Ph.D. thesis was entitled "Preservation of Phase Space Structure in Symplectic integration".

Recent publications and presentations

  • R.I. McLachlan and D.R.J. O'Neale, Preservation and destruction of Periodic Orbits by Symplectic Integrators. To appear in Numerical Algorithms (accepted 2009).

  • R.I. McLachlan and D.R.J. O'Neale, Reconsidering trigonometric integrators, to appear in ANZIAM J. (2009).

  • R.I. McLachlan and D.R.J. O'Neale, Geometric integration for a two-spin system, J. Phys. A: Math. Gen. 39 (2006), L447–L452.

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