Staff profile

Dr Richard Norton

Research Fellow

Faculty of Science, Technology and Engineering

School of Engineering and Mathematical Sciences
Department of Mathematics and Statistics

Room 314 / Physical Sciences 2, Melbourne (Bundoora)

 

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.