Dr. Priscilla Tse

Mathematical research interest:

• Scientific computing
• The numerical solutions of ODEs and PDEs
• Geometric numerical integration
• B-series methods and the theory of rooted trees
• Application of numerical techniques to large-scale simulations
• Numerical analysis

You can download a copy of my research statement.

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Thesis:

Master Thesis: Lie Group Methods in Geometric Integration, The University of Auckland, New Zealand (2003).

Ph.D Thesis: Geometric Numerical Integration: On the Numerical Preservation of Multiple Geometric Properties for Ordinary Differential Equations, La Trobe University, Australia (2007).

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Articles:

• A. Iserles, G. R. W. Quispel, P. S. P. Tse, B-series methods cannot be volume-presrving, BIT Numerical Mathematics, 47(2): 351-378 (2007).
• R. McLachlan, G. R. W. Quispel, P. S. P. Tse, Linearization-preserving self-adjoint and symplectic integrators, BIT Numerical Mathematics, 49(1): 177--197 (2009).
• Y. Sun, P. S. P. Tse, Symplectic and multisymplectic numerical methods for Maxwell's equations. Submitted.
• R. McLachlan, Y. Sun, P. S. P. Tse, Stability of PRK methods. Submitted.
• R. McLachlan, R. Quispel, P. S. P. Tse, Energy-preserving, linearization-preserving integrators. Preprint.

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Conference presentations:

A selection of presentations I have given in recent conferences/workshops.

• New Zealand Mathematics Colloquium, The University of Auckland, Auckland, NZ (Dec 2002). Presentation: Runge-Kutta Munthe-Kaas methods and the Rigid Body Problem.
• CTAC 2004, The University of Melbourne, Melbourne, AU (Sept 2004). Presentation: Can classical methods preserve volume?.
• SciCADE 2005, Nagoya Congress Center, Nagoya, Japan (May 2005). Contributed Talk: B-series Methods and Volume Preservation [pdf].
• ICE-EM Graduate School in Mathematics, University of Queensland, Brisbane, AU (July 2005). Presentation: Geometric numerical integration and their connection with dynamical systems.
• AustMS annual meeting, University of Western Australia, Perth, AU (Sept 2005). Contributed Talk: B-series methods and volume-preservation.
• Dynamical systems and numerical analysis meeting, Victoria University, Wellington, NZ (Jun 2006). Contributed Talk: Preprocessed vector field integrators.
• Geometric Integration and Physical Applications Workshop, Academy of Mathematics and Systems Science, Beijing, CN (Jun 2007). Invited Talk: Geometric Integration: On the preservation of multiple geometric properties for ordinary differentials equations [pdf].
• CCAST Physics and Applied Mathematics workshop, China Center of Advanced Science and Technology World Laboratory, Beijing, CN (Oct 2008). Invited Talk: Maxwell's equations and symplectic/multisymplectic integrators
• SciCADE09, Beijing Friendship Hotel, Beijing, CN (May 2009). Minisymposium Talk: Linearization-preserving geometric integrators [pdf]

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SciCADE09

An international conference which I have been involved in:

SciCADE09, May 25-29 2009, Beijing Friendship Hotel, Beijing, China

You can find more information by clicking on the banner below and visiting our webiste.

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