
3026SSpringInverseProblem
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.

2018BrinksIllnessDeathModelInChronicDiseaseEpidemiology
29 Mar 2020   Contributor(s):: Brian Winkel
2018BrinksIllnessDeathModelInChronicDiseaseEpidemiologyBrinks, Ralph. 2018. IllnessDeath Model in Chronic Disease Epidemiology:Characteristics of a Related, Differential Equation and an Inverse Problem. Computational and Mathematical Methods in Medicine. Volume 2018,...

9015SUnearthingTruth
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...

3150SItsABlastFurnace
13 Aug 2019   Contributor(s):: Kurt Bryan
This project uses the steadystate 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 steadystate, so that only an elementary ordinary differential equation (ODE) is needed, and...

3130SMatterOfSomeGravity
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...

2007ZenkerEtAlInverseProblemsInMathPhysiology
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...

2005TarantolaInverse 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...

2009MartinezLuacesModelling Applications Inverse Modelling
07 Sep 2017   Contributor(s):: Brian Winkel
MartinezLuaces, Victor. 2009. Modelling, applications and inverse modelling: innovations in differential equations courses. Seventh Southern Right Delta Conference. pp. 159170.Abstract: Differential equations and Laplace transform are widely used to solve problems concerned with...

3030SSecondOrderIntro
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, SIMIODESPANISH.cls. Names will be xySTitleStudentVersionSpanish and xyTTitleTeacherVersionSpanish.