Browsing School of Mathematics, Statistics and Applied Mathematics by Author "~SFI~"
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Improved mathematical and numerical modelling of dispersion of a solute from a continuous source
Madden, Niall (2011)We present a refinement of a model due to Mondal and Mazumder [7] for dispersion of fine particles in an oscillatory turbulent flow. The model is based on the timedependent advectiondiffusion equation posed on a ... 
A mathematical model for the release of peptidebinding drugs from affinity hydrogels
Meere, Martin G. (Palgrave, 20150109)A mathematical model for the release of peptidebinding drugs from affinity hydrogels is analyzed in detail. The model is not specific to any particular peptide/drug/gel system, and can describe drug release from a large ... 
Robust solution of singularly perturbed problems using multigrid methods: analysis and results in one and two dimensions
Madden, Niall (2012)We consider the problem of solving linear systems of equations that arise in the numerical solution of singularly perturbed ordinary and partial differential equations of reactiondiffusion type. Standard discretization ... 
A twoweight scheme for a timedependent advectiondiffusion problem
Chadha, Naresh M.; Madden, Niall (2011)We consider a family of twoweight finite difference schemes for a timedependent advectiondiffusion problem. For a given uniform gridspacing in time and space, and for a fixed value of advection and diffusion parameters, ...