Mathematics
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Department of Mathematics & Statistics
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Dr Richard Norton

Office: Science III, room 513
Phone: 479-7778
Email: richard.norton@otago.ac.nz


Selected recent publications

  • Norton, R. A., McLaren, D. I., Quispel, G. R. W., Stern, A., & Zanna, A. (2015). Projection methods and discrete gradient methods for preserving first integrals of ODES. Discrete & Continuous Dynamical Systems: Series A, 35(5), 2079-2098. doi: 10.3934/dcds.2015.35.2079
  • Norton, R. A. (2014). Existence of stationary solutions and local minima for 2D models of fine structure dynamics. Calculus of Variations & Partial Differential Equations, 49(1-2), 729-752. doi: 10.1007/s00526-013-0598-4
  • Norton, R. A., & Scheichl, R. (2013). Planewave expansion methods for photonic crystal fibres. Applied Numerical Mathematics, 63, 88-104. doi: 10.1016/j.apnum.2012.09.008
  • Norton, R. A., & Süli, E. (2012). Finite element approximation of an H1 gradient flow of a double-well potential with bending energy. IMA Journal of Numerical Analysis, 32(4), 1635-1661. doi: 10.1093/imanum/drr045
  • Norton, R., & Scheichl, R. (2010). Convergence analysis of planewave expansion methods for 2D Schrödinger operators with discontinuous periodic potentials. SIAM Journal on Numerical Analysis, 47(6), 4356-4380. doi: 10.1137/090756545