An Alternating-Direction Sinc-Galerkin method for elliptic problems

ii APPROVAL of a dissertation submitted by Nicomedes Alonso III This dissertation has been read by each member of the dissertation committee and has been found to be satisfactory regarding content, English usage, format, citations, bibliographic style, and consistency, and is ready for submission to the MSU Division of Graduate Education. In presenting this dissertation in partial fulfillment of the requirements for a doctoral degree at Montana State University, I agree that the Library shall make it available to borrowers under rules of the Library. I further agree that copying of this dissertation is allowable only for scholarly purposes, consistent with " fair use " as prescribed in the U. S. North Zeeb Road, Ann Arbor, Michigan 48106, to whom I have granted " the exclusive right to reproduce and distribute my dissertation in and from microform along with the non-exclusive right to reproduce and distribute my abstract in any format in whole or in part. " Nicomedes Alonso III April 2009 iv ACKNOWLEDGEMENTS With profound gratitude, I humbly dedicate this dissertation in remembrance of my mother, Candelaria de la Caridad Benitez Abascal de Alonso, who was " Mima " to all of us; to the memory of my father, Nicomedes Alonso Acosta, who sacrificed so much so his children could be free; to my soul mate, Giuseppina Yvonna Audisio, his time, his generous support and his kind guidance.