Publication:
A solution method for integral equations of the first kind in two and three dimensions
A solution method for integral equations of the first kind in two and three dimensions
dc.contributor.advisor | Steinberg, Lev | |
dc.contributor.author | Pérez-González, Humberto D. | |
dc.contributor.college | College of Arts and Sciences - Sciences | en_US |
dc.contributor.committee | Rózga, Krzysztof | |
dc.contributor.committee | Gooransarab, Haedeh | |
dc.contributor.department | Department of Mathematics | en_US |
dc.contributor.representative | Artiles, Noel | |
dc.date.accessioned | 2019-04-15T15:50:43Z | |
dc.date.available | 2019-04-15T15:50:43Z | |
dc.date.issued | 2005 | |
dc.description.abstract | The main objectives of this work are to describe the theoretical use of the regularization method to solve integral equations of the first kind and to develop a solution method for integral equations of the first kind in two and three dimensions. To solve such equations, the kernels are represented by two-dimensional matrices and singular value decomposition is used to get the solutions. The regularization parameter is computed by using the L-curve method and the Discrepancy Principle. | en_US |
dc.description.abstract | Los objetivos principales de este trabajo son describir el uso teórico del método de regularización para resolver ecuaciones integrales de primera especie y desarrollar un método de solución para las ecuaciones integrales de primera especie en dos y tres dimensiones. Para resolver este tipo de ecuaciones los núcleos se representan por matrices bidimensionales y se usa descomposición en valores singulares para obtener las soluciones. El parámetro de regularización se calcula usando los métodos de la L-curva y el Principio de Discrepancia. | en_US |
dc.description.graduationYear | 2005 | en_US |
dc.identifier.uri | https://hdl.handle.net/20.500.11801/1999 | |
dc.language.iso | English | en_US |
dc.rights.holder | (c) 2005 Humberto D Pérez-González | en_US |
dc.rights.license | All rights reserved | en_US |
dc.subject | Integral equations | en_US |
dc.title | A solution method for integral equations of the first kind in two and three dimensions | en_US |
dc.type | Thesis | en_US |
dspace.entity.type | Publication | |
thesis.degree.discipline | Pure Mathematics | en_US |
thesis.degree.level | M.S. | en_US |
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