{"id":{"repo_id":"duquesne","oai_identifier":"oai:dsc.duq.edu:etd-2269"},"canonical_url":"https://search.dev.ndltd.org/etd/duquesne/oai:dsc.duq.edu:etd-2269","repository":{"repo_id":"duquesne","name":"Duquesne","base_url":"https://dsc.duq.edu/do/oai/"},"display":{"title":"The Mathematics behind Speciated Isotope Dilution Mass Spectrometry","abstract":"Speciated Isotope Dilution Mass Spectrometry (SIDMS) allows researchers to measure the concentrations of species -- usually elemental -- in a sample by solving a system of non-linear equations. This thesis explores multiple mathematical methods to solve SIDMS equations, and compares the properties of these solution methods. Simulation analysis is conducted to provide uncertainty estimates.","abstract_html":"Speciated Isotope Dilution Mass Spectrometry (SIDMS) allows researchers to measure the concentrations of species -- usually elemental -- in a sample by solving a system of non-linear equations. This thesis explores multiple mathematical methods to solve SIDMS equations, and compares the properties of these solution methods. Simulation analysis is conducted to provide uncertainty estimates.","abstract_has_math":false,"creators":["Sun, Jingyan"],"institution":null,"degree_name":"MS","degree_level":"Immediate Access","degree_discipline":"Computational Mathematics","degree_department":null,"school":null,"contributors":["John C. Kern","H. M. Skip Kingston","John Fleming","Mark Mazur"],"advisors":[],"committee_chairs":[],"committee_members":[],"year":2007,"date_issued":"2007-01-01T08:00:00Z","date_published":"2007-01-01T08:00:00Z","updated_at":"2026-07-24T02:10:36Z","subjects":["deterministic method","iterative method","matrix method","Newton's method","SIDMS"],"languages":["English"],"rights":[],"rights_urls":[],"identifier_entries":[]},"links":{"outbound_url":"https://dsc.duq.edu/etd/1253","outbound_label":"Repository record","outbound_source":"dc:identifier"},"metadata_groups":[{"id":"people","label":"People","entries":[{"key":"dc:contributor","label":"Contributor","values":["John C. Kern","H. M. Skip Kingston","John Fleming","Mark Mazur"]},{"key":"dc:creator","label":"Author","values":["Sun, Jingyan"]}]},{"id":"academic_context","label":"Academic Context","entries":[{"key":"dc:date.available","label":"Dc Date Available","values":["2018-08-03T07:00:00Z"]},{"key":"thesis:degree_discipline","label":"Discipline","values":["Computational Mathematics"]},{"key":"thesis:degree_level","label":"Degree Level","values":["Immediate Access"]},{"key":"thesis:degree_name","label":"Degree Name","values":["MS"]}]},{"id":"subjects_keywords","label":"Subjects and Keywords","entries":[{"key":"dc:subject","label":"Dc Subject","values":["deterministic method","iterative method","matrix method","Newton's method","SIDMS"]}]},{"id":"language_rights","label":"Language and Rights","entries":[{"key":"dc:language","label":"Dc Language","values":["English"]}]},{"id":"identifiers","label":"Identifiers","entries":[{"key":"dc:identifier","label":"Identifier","values":["https://dsc.duq.edu/etd/1253"]}]},{"id":"additional","label":"Additional Metadata","entries":[{"key":"dc:description.abstract","label":"Abstract","values":["Speciated Isotope Dilution Mass Spectrometry (SIDMS) allows researchers to measure the concentrations of species -- usually elemental -- in a sample by solving a system of non-linear equations. This thesis explores multiple mathematical methods to solve SIDMS equations, and compares the properties of these solution methods. Simulation analysis is conducted to provide uncertainty estimates."]},{"key":"dc:title","label":"Title","values":["The Mathematics behind Speciated Isotope Dilution Mass Spectrometry"]}]}],"canonical_facts":{"dc:contributor":["John C. Kern","H. M. Skip Kingston","John Fleming","Mark Mazur"],"dc:creator":["Sun, Jingyan"],"dc:date.available":["2018-08-03T07:00:00Z"],"dc:description.abstract":["Speciated Isotope Dilution Mass Spectrometry (SIDMS) allows researchers to measure the concentrations of species -- usually elemental -- in a sample by solving a system of non-linear equations. This thesis explores multiple mathematical methods to solve SIDMS equations, and compares the properties of these solution methods. Simulation analysis is conducted to provide uncertainty estimates."],"dc:identifier":["https://dsc.duq.edu/etd/1253"],"dc:language":["English"],"dc:subject":["deterministic method","iterative method","matrix method","Newton's method","SIDMS"],"dc:title":["The Mathematics behind Speciated Isotope Dilution Mass Spectrometry"],"thesis:degree_discipline":["Computational Mathematics"],"thesis:degree_level":["Immediate Access"],"thesis:degree_name":["MS"]},"updated_at":"2026-07-24T02:10:36Z"}