The Mathematics behind Speciated Isotope Dilution Mass Spectrometry

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.

Name thesis:degree_name

MS

Level thesis:degree_level

Immediate Access

Discipline thesis:degree_discipline

Computational Mathematics

Year dc:date.available

2007

Author dc:creator

• Sun, Jingyan

Contributors dc:contributor

• John C. Kern
• H. M. Skip Kingston
• John Fleming
• Mark Mazur

• deterministic method
• iterative method
• matrix method
• Newton's method
• SIDMS

Language dc:language

English

Repository record dc:identifier

https://dsc.duq.edu/etd/1253

OAI identifier oai:identifier

oai:dsc.duq.edu:etd-2269