11 citations · 16 across the 7 of their papers we have counts for
3 papers · 1 filter
Regularity for Maxwell eigenproblems in photonic crystal fibre modelling
Monique Dauge, Richard A. Norton, Robert Scheichl
The convergence behaviour and the design of numerical methods for modelling the flow of light in photonic crystal fibres depend critically on an understanding of the regularity of…
Projection methods and discrete gradient methods for preserving first integrals of ODEs
R. A. Norton, D. I. McLaren, G. R. W. Quispel +2
In this paper we study linear projection methods for approximating the solution and simultaneously preserving first integrals of autonomous ordinary differential equations. We show…
Discrete gradient methods for preserving a first integral of an ordinary differential equation
Richard A. Norton, G. R. W. Quispel
In this paper we consider discrete gradient methods for approximating the solution and preserving a first integral (also called a constant of motion) of autonomous ordinary differe…