McAnulty College and Graduate School of Liberal Arts
John C. Kern
H. M. Skip Kingston
deterministic method, iterative method, matrix method, Newton's method, SIDMS
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.
Sun, J. (2007). The Mathematics behind Speciated Isotope Dilution Mass Spectrometry (Master's thesis, Duquesne University). Retrieved from https://dsc.duq.edu/etd/1253