29 May 2020 | | Contributor(s):: Brian Winkel
We are given data on the position of a mass in an oscillating spring mass system and we seek to discover approaches to estimating an unknown parameter.
29 Mar 2020 | | Contributor(s):: Brian Winkel
2018-Brinks-IllnessDeathModelInChronicDiseaseEpidemiologyBrinks, Ralph. 2018. Illness-Death Model in Chronic Disease Epidemiology:Characteristics of a Related, Differential Equation and an Inverse Problem. Computational and Mathematical Methods in Medicine. Volume 2018,...
28 Aug 2019 | | Contributor(s):: Kurt Bryan
This project introduces electrical resistivity tomography, a technique of interest for geophysical imaging, used to produce images of underground features or structures by using electrical current. Specifically, a known electrical current is injected into an object (for example, the earth) and...
13 Aug 2019 | | Contributor(s):: Kurt Bryan
This project uses the steady-state heat equation to model the temperature distribution in an industrial furnace used for metal production, for example, a blast furnace.The heat flow is assumed to be steady-state, so that only an elementary ordinary differential equation (ODE) is needed, and...
07 Aug 2019 | | Contributor(s):: Kurt Bryan
This project introduces the concept of an inverse problem (or parameter estimation), in the context of the simple linearized pendulum ordinary differential equation. The theme of the project is that one often has a physical model for a system but in which the model contains unknown parameters or...
28 Nov 2017 | | Contributor(s):: Brian Winkel
Zenker S, J. Rubin, and G. Clermont. 2007. From inverse problems in mathematical physiology to quantitative differential diagnoses. PLoS Comput Biol. 3(11): e204.Abstract: The improved capacity to acquire quantitative data in a clinical setting has generally failed to improve outcomes in...
2005-Tarantola-Inverse Problem Theory and Methods for Model Parameter Estimation
11 Sep 2017 | | Contributor(s):: Brian Winkel
Tarantola, Albert. 2005. Inverse Problem Theory and Methods for Model Parameter Estimation, Philadelphia: SIAM. 358 pp. http://www.ipgp.fr/~tarantola/Files/Professional/Books/InverseProblemTheory.pdf . Accessed 10 September 2017.This is a bible of approaches to support parameter...
2009-Martinez-Luaces-Modelling Applications Inverse Modelling
07 Sep 2017 | | Contributor(s):: Brian Winkel
Martinez-Luaces, Victor. 2009. Modelling, applications and inverse modelling: innovations in differential equations courses. Seventh Southern Right Delta Conference. pp. 159-170.Abstract: Differential equations and Laplace transform are widely used to solve problems concerned with...
22 Apr 2016 | | Contributor(s):: Brian Winkel
SPANISH LANGUAGE VERSION We have placed in Supporting Docs both Student and Teacher Version (LaTeX and PDF Versions) with a Spanish LaTeX Class file, SIMIODE-SPANISH.cls. Names will be x-y-S-Title-StudentVersion-Spanish and x-y--T-Title-TeacherVersion-Spanish.