Applied Mathematics reports

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

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