On the solution of nonlinear matrix integral equations in transport theory

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dc.contributorVirginia Techen
dc.contributor.authorBowden, Robert L.en
dc.contributor.authorZweifel, Paul F.en
dc.contributor.authorMenikoff, R.en
dc.contributor.departmentPhysicsen
dc.date.accessed2014-03-20en
dc.date.accessioned2014-04-09T18:12:27Zen
dc.date.available2014-04-09T18:12:27Zen
dc.date.issued1976-09en
dc.description.abstractThe coupled nonlinear matrix integral equations for the matrices X (z) and Y (z) which factor the dispersion matrix Λ (z) of multigroup transport theory are studied in a Banach space X. By utilizing fixed‐point theorems we are able to show that iterative solutions converge uniquely to the ’’physical solution’’ in a certain sphere of X. Both isotropic and anisotropic scattering are considered.en
dc.identifier.citationBowden, R. L.; Zweifel, P. F.; Menikoff, R., "On the solution of nonlinear matrix integral equations in transport theory," J. Math. Phys. 17, 1722 (1976); http://dx.doi.org/10.1063/1.523100en
dc.identifier.doihttps://doi.org/10.1063/1.523100en
dc.identifier.issn0022-2488en
dc.identifier.urihttp://hdl.handle.net/10919/47084en
dc.identifier.urlhttp://scitation.aip.org/content/aip/journal/jmp/17/9/10.1063/1.523100en
dc.language.isoen_USen
dc.publisherAIP Publishingen
dc.rightsIn Copyrighten
dc.rights.urihttp://rightsstatements.org/vocab/InC/1.0/en
dc.subjectintegral equationsen
dc.subjectmatrix theoryen
dc.subjectanisotropyen
dc.titleOn the solution of nonlinear matrix integral equations in transport theoryen
dc.title.serialJournal of Mathematical Physicsen
dc.typeArticle - Refereeden

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