Between 1994 and 2002 the Department published an Applied Mathematics reports series listed below. This series has now been subsumed into the Preprint series and the Mathematics Report series.
2002
2002/1 The effect of evanescent wave modes on scattering and near trapping
P.G. Chamberlain
2001
2001/1 Wave scattering by a perforated duct
N R T Biggs & D Porter
2001/2 The evolution of travelling waves in generalised Fisher equations via
matched asymptotic expansions: exponential corrections
J.A.Leach and D.J.Needham
2001/3 Scattered & free waves over periodic beds.
R Porter & D Porter
2000
2000/1 The evolution of reaction-diffusion waves in a class of scalar reaction-diffusion equations: algebraic decay rates
J.A.Leach and D.J.Needham
2000/2 Interaction of water waves with three-dimensional periodic topographs.
R. Porter and D. Porter
2000/3 Wave diffraction through a perforated barrier of non-zero thickness.
N R T Biggs & D Porter
2000/4 The evolution of travelling waves in the weakly hyperbolic genralised
Fisher Model
D J Needham & A C King
1999
99/1 The evolution of travelling waves in fractional order autocatalysis with decay. III. The coupled system.
P.M.McCabe, J.A.Leach and D.J.Needham
99/2 The evolution of travelling waves in generalized Fisher equations via matched asymptotic expansions.
J.A.Leach and D.J.Needham
1998
98/1 Scattering and near-trapping of water waves by axi-symmetric topography.
P.G.Chamberlain and D.Porter
98/3 The evolution of travelling waves in fractional order autocatalysis with decay. II. The initial boundary value problem.
P.M.McCabe, J.A.Leach and D.J.Needham
1997
97/1 Propagating interfaces in a reaction-diffusion model with species immobilization. I. Simultaneous immobilization.
D.J. Needham, A.C. King and J.H. Merkin
97/2 Centre families in two-dimensional complex holomorphic dynamical systems.
D.J. Needham and S. McAllister
97/3 Topographical scattering of gravity waves
J.W. Miles and P.G. Chamberlain
1996
96/1 Approximations to wave trapping by topography.
P.G. Chamberlain and D. Porter
96/2 Global similarity solutions to a class of semilinear parabolic equations: existence, bifurcations and asymptotics.
D.J. Needham and P.G. Chamberlain
96/3 The effects of weak hyperbolicity on the diffusion of heat.
A.C. King, D.J. Needham and N.H. Scott
96/4 The evolution of travelling waves in fractional order autocatalysis with decay. I. Permanent form travelling waves.
P.M. McCabe, J.A. Leach and D.J. Needham
1995
95/1 A reaction diffusion model for autocatalytic polymerization. The initial value problem.
D.J. Needham, A.C. King and J.H. Merkin
95/2 A reaction-diffusion model for autocatalytic polymerization.
D.J. Needham, A.C. King and J.H. Merkin
95/3 Linear wave scattering by two-dimensional topography.
D. Porter and P.G. Chamberlain
95/4 Extensions of the mild-slope equations.
D. Porter and D.J. Staziker
95/5 On simple waves and weak shock theory for the equations of alluvial river hydraulics.
D.D.L. Zanre and D.J. Needham
95/6 The scattering of surface waves by local bed elevations.
D.J. Staziker, D. Porter and D.S.G. Stirling
95/7 On the alluvial hydraulics of steady flow around a bridge pier.
D.J. Needham and D.D.L. Zanre
1994
94/1 The modified mild-slope equation
P.G. Chamberlain and D. Porter
94/2 Decomposition methods for wave scattering by topography with application to ripple beds
P.G. Chamberlain and D. Porter
94/3 A centre theorem for two-dimensional complex holomorphic systems and its generalization
D.J. Needham
94/4 The effects of coupling on chemical wave propagation in quadratic and cubic autocatalysis with decay
D.J. Needham and J.H. Merkin
94/5 The propagation of reaction-diffusion waves in coupled autocatalytic systems
J.H. Merkin, M.J. Metcalf, D.J. Needham and S.K. Scott
94/6 Stable pattern and standing wave formation in a simple isothermal cubic autocatalytic reaction scheme
R. Hill, J.H. Merkin and D.J. Needham