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dc.contributor.advisorComstock, Craig
dc.contributor.advisorGarrettson, Garrett A.
dc.contributor.authorDavis, Larry Thomas
dc.dateJune 1971
dc.date.accessioned2012-11-13T23:24:35Z
dc.date.available2012-11-13T23:24:35Z
dc.date.issued1971-06
dc.identifier.urihttp://hdl.handle.net/10945/15798
dc.descriptionApproved for public release; distribution is unlimiteden_US
dc.description.abstractConsidering the case of one speed, steady state, isotropic scattering in homogeneous media with plane symmetry, this thesis developes the solution of the one-dimensional neutron transport equation by three separate techniques The method of K. M. Case which makes use of the theory of generalized functions in forming a semi-classical eigenfunc- tion expansion with both a continuous spectrum and a finite discrete spectrum is developed. Converting the neutron transport equation to an integral equation and then to a singular integral equation, a solution is found in a method due to T. W. Mullikin which has very useful convergence properties. Applying the method due to N. Weiner and E. Hopf to the integral equation form of the neutron transport equation, a solution is developed which depends heavily on complex variable theory. The similarities, differences, advantages and disadvantages in the three methods are pointed out, and specific example solutions are presented.en_US
dc.description.urihttp://archive.org/details/mathematicalsolu00davi
dc.language.isoen_US
dc.publisherMonterey, California. Naval Postgraduate Schoolen_US
dc.rightsThis publication is a work of the U.S. Government as defined in Title 17, United States Code, Section 101. Copyright protection is not available for this work in the United States.en_US
dc.subject.lcshMathematicsen_US
dc.titleMathematical solutions of the one-dimensional neutron transport equationen_US
dc.typeThesisen_US
dc.contributor.departmentDepartment of Mathematics
dc.subject.authorNeutron transporten_US
dc.subject.authorWeiner-Hopfen_US
dc.subject.authorSingular integral equationen_US
dc.subject.authorEigenfunctionsen_US
dc.description.serviceEnsign, United States Navyen_US
etd.thesisdegree.nameM.S. in Mathematicsen_US
etd.thesisdegree.levelMastersen_US
etd.thesisdegree.disciplineMathematicsen_US
etd.thesisdegree.grantorNaval Postgraduate Schoolen_US


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