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Preconditioning techniques for singularly perturbed differential equations

Nhan, Anh Thai
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http://hdl.handle.net/10379/5262
https://doi.org/10.13025/16764
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Publication Date
2015-09-23
Keywords
Singular perturbation, Preconditioning, Mathematics
Type
Thesis
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Abstract
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 been well-understood. This thesis provides a new understanding for this phenomenon, and applies that understanding to designing new, highly efficient algorithms.
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IRC and College of Science
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Attribution-NonCommercial-NoDerivs 3.0 Ireland
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University of Galway Theses (PhD Theses)