Browsing University of Galway Theses (PhD Theses) by Author "Madden, Niall"
Now showing items 1-4 of 4
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Algorithms for the accurate and efficient solution of fourth order boundary-layer problems
Alssaedi, Faiza (NUI Galway, 2022-06-10)In this thesis, we study the analysis and numerical solution of second-order complex-valued reactiondiffusion equations, and two families of fourth-order singularly perturbed problems. The problems are all singularly ... -
Moving mesh methods for problems with layer phenomena
Hill, Róisín (NUI Galway, 2022-06-10)This thesis is concerned with developing, implementing, testing and refining novel algorithms for generating layer-adapted meshes for the numerical solution of singularly perturbed differential equations (SPDEs). We consider ... -
Preconditioning techniques for singularly perturbed differential equations
Nhan, Anh Thai (2015-09-23)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 ... -
Sparse grid methods for singularly perturbed problems
Russell, Stephen (2016-05-09)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 ...