Geometric Numerical Integration
The Institute of Fundamental Sciences of Massey University, Palmerston North, New Zealand, invites applications for a PhD scholarship in mathematics in the applied dynamics group.
Research will be concerned with geometric numerical integration, supervised by Professor Robert McLachlan.
A branch of numerical analysis that emerged in the 1990s, geometric numerical integration is a way of simulating dynamical systems that preserves key properties of the system exactly; sometimes this leads to startling improvements in performance. The research combines a study of the geometric properties of the system with numerical analysis and simulation, and the methods are widely used in computational physics and chemistry. For example, modern geometric integrators were used in 2004 in a large simulation of the solar system that resulted in a major re-calibration of the geological epochs of the Earth. See web site dynamics.massey.ac.nz for further information.
Applicants should have or expect to receive a BSc(Hons) or MSc degree or equivalent in mathematics; coursework and project work in numerical analysis or computational science is highly desirable. Starting date to be determined. Applications including a CV, academic transcript, and cover letter should be sent to Professor Robert McLachlan, Institute of Fundamental Sciences, Massey University, Palmerston North, New Zealand or by email to [Email Address Removed].
The scholarship covers all tuition fees for international and domestic students and includes a tax-free stipend of NZ$25,000 p.a.
The research project is funded by the Marsden Fund of the Royal Society of New Zealand.