Publication:
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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