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Robust solution of singularly perturbed problems using multigrid methods: analysis and results in one and two dimensions
(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 reaction-diffusion type. Standard discretization ...
Improved mathematical and numerical modelling of dispersion of a solute from a continuous source
(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 time-dependent advection-diffusion equation posed on a ...
A two-weight scheme for a time-dependent advection-diffusion problem
(2011)
We consider a family of two-weight finite difference schemes for a time-dependent advection-diffusion problem. For a given uniform grid-spacing in time and space, and for a fixed value of advection and diffusion parameters, ...
On the application of robust numerical methods to a complete flow wave-current model. Boundary and Interior Layers ONERA
(2004)
We aim to show how parameter-robust numerical method may be employed to solve equations arising in the modelling of wave-current interactions.We present two such models: a complete flow model for wave-current interaction ...