
2017SimEtAlOptControlCoupledTanksSystem
25 Mar 2020  Contributor(s):: Brian Winkel
2017SimEtAlOptControlCoupledTanksSystemSim, Sy Yi, Sie Long Kek, and Kim Gaik Tay. 2017. Optimal control of a coupled tanks system with modelreality differences. AIP Conference Proceedings. 1872, 020012.Abstract: Abstract. In this paper, an efficient computational...

2012LevermoreOrdinaryDifferentialEquationsGraphical MethodsApplications
01 Dec 2017  Contributor(s):: Brian Winkel
Levermore. David. 21012. FirstOrder Ordinary Differential Equations II: Graphical Methods and Applications. University of Maryland. Notes. 23 pp/5. FirstOrder Equations: General Theory5.1. WellPosed Problems 25.2. Existence and Uniqueness 36. FirstOrder Equations: Graphical Methods6.1....

Math Modeling with Differential Equations  Interesting Tank Problem
12 Sep 2017  Contributor(s):: Brian Winkel
Math Modeling with Differential Equations  Interesting Tank ProblemMath Modeling with Differential Equations  Interesting Tank Problem . Class Notes on five problems.,Several models are workd out including exponential decay, bullet traveling with resisitance, This material contains a solution...

2010XieMotivating Examples from Differential Equations for Engineers
12 Sep 2017  Contributor(s):: Brian Winkel
Xie, WeiChau. 2010. Differential Equations for Engineers. Cambridge UK Cambridge University Press. Excerpts. 45 pp.This document contains many rich motivating modeling activities from the original text. Covered are tanks, cables, motion, beam, ferry crossing, bar, circuits, RLC, spring mass,...

Math 216 Demonstrations
12 Sep 2017  Contributor(s):: Brian Winkel
Math 216 Demonstrations. https://instruct.math.lsa.umich.edu/lecturedemos/ma216/docs/ . Accessed 11 September 2017.This site contains many, many applications with good presentation and analysis as well as Matlab files to illustrate the concepts. For example modeling a swinging door with spring...

Calculus for Engineers IISample Problems on mathematical modeling with differential equations
10 Sep 2017  Contributor(s):: Brian Winkel
Calculus for Engineers IISample Problems on mathematical modeling with differential equations. https://www.maths.tcd.ie/~manuela/Sample_1.pdf . Accessed 10 September 2017.Five modeling activities involved with emptying various tanks, projectile motion with resistance, and population growth and...

Gustafson2250 EngineeringMathematicsApplications
08 Sep 2017  Contributor(s):: Brian Winkel
Gustafson, G. B. Science and Engineering ApplicationsSection 2.8. http://www.math.utah.edu/~gustafso/2250SciEngApplications.pdf . Accessed 8 September 2017.This material is from a wealth of other material authored by Grant B. Gustafson in the Mathematics Department at the University of...

ShareTechNotesDEModelsTanks
05 Sep 2017  Contributor(s):: Brian Winkel
TechShareNotes. Differential Equations Modeling: Example Mixing. http://www.sharetechnote.com/. Accessed 4 September 2017.TechShareNotes is a web site with rich differential equation modeling html pages and this one is about mixing in one, two, and three tanks, with interesting...

HussainDrainingHazardousLiquidsFromTank
03 Sep 2017  Contributor(s):: Brian Winkel
Hussain, Tariq. Undated. Draining Hazardous Liquids during Chemical Processing. Royal Academy of Engineers. http://www.raeng.org.uk/publications/other/13flowinatankfinal. 4 pp.This is part of a larger set of educational materials from the Royal Academy of Engineers, but few...