Browsing by Author "Madden, Niall"
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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 ... 
On the application of robust numerical methods to a complete flow wavecurrent model. Boundary and Interior Layers ONERA
Madden, Niall (2004)We aim to show how parameterrobust numerical method may be employed to solve equations arising in the modelling of wavecurrent interactions.We present two such models: a complete flow model for wavecurrent interaction ... 
Preconditioning techniques for singularly perturbed differential equations
Nhan, Anh Thai (20150923)This thesis considers computer methods for solving singularly perturbed differential equations. Standard algorithms are very inefficient when applied to these problems, although the exact reasons for this have not ... 
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 ... 
Sparse grid methods for singularly perturbed problems
Russell, Stephen (20160509)This thesis is concerned with the design, analysis and implementation of sparse grid finite element methods applied to singularly perturbed partial differential equations, in two and three dimensions. Typically, sparse ... 
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, ...