Staff profile
Dr Richard Norton
Research Fellow
Faculty of Science, Technology and Engineering
School of Engineering and Mathematical SciencesDepartment of Mathematics and Statistics
Room 314 / Physical Sciences 2, Melbourne (Bundoora)
- T: +61 3 9479 1643
- F: +61 3 9479 2466
- E: Richard.Norton@latrobe.edu.au
- W: Mathematics and Statistics
Qualifications
BSc(Hons) MSc (Otago), PhD (Bath)
Area of study
Mathematics and Statistics
Brief Profile
Dr Norton's research interests are numerical analysis, in particular geometric numerical integration and numerical solution of PDEs.
Recent Publications
R.A. Norton & G.R.W. Quispel, Discrete gradient methods for preserving a first integral of an ordinary differential equation, submitted to Discrete and Continuous Dynamical Systems - Series A on 16/11/12.
R.A. Norton, Existence of stationary solutions and local minima for 2D models of fine structure dynamics, submitted to Calculus of Variations and Partial Differential Equations on 27/8/12.
R.A. Norton & R. Scheichl, Planewave expansion methods for photonic crystal fibres, Applied Numerical Mathematics, 2013, dx.doi.org/10.1016/j.apnum.2012.09.008
R. A. Norton & E. Suli, Finite Element approximation of an H1 gradient flow of a double-well potential with bending energy, IMA Journal of Numerical Analysis, 2012, dx.doi.org/10.1093/imanum/drr045
R. Norton & R. Scheichl, Convergence analysis of planewave expansion methods for 2D Schrodinger operators with discontinuous periodic potentials, SIAM Journal on Numerical Analysis, Vol. 47, No. 6, pp. 4356-4380, 2010.
R. Norton, Numerical computation of band gaps in photonic crystal fibres, PhD thesis, University of Bath, 2008.
