
2015Easton, Jonathan  Mathematical models of health focusing on diabetes: Delay differential equations and data mining. Doctoral thesis.
11 Sep 2017  Contributor(s):: Brian Winkel
Easton, Jonathan. 2015. Mathematical models of health focusing on diabetes: Delay differential equations and data mining. Doctoral thesis. 186 pp. Northumbria University.See http://nrl.northumbria.ac.uk/23582/ . Accessed 10 September 2017.This is an exhaustive study with...

2017Emerson, Bruce  Wonderful World of Differential Equations
11 Sep 2017  Contributor(s):: Brian Winkel
Wonderful World of Differential Equations. Notes. 52 pp. http://coccweb.cocc.edu/bemerson/PhysicsGlobal/Courses/PH213/PH213Learning/PH213WebR/documents/DiffEqIntro.pdf . Accessed 11 September 2017.This is a terrific set of noted with models and applications woven into the material at...

2012Unknown  Applied Differential Equations. Notes
11 Sep 2017  Contributor(s):: Brian Winkel
2012Applied Differential Equations. Notes. 34 pp.Set of notes on solution strategies for first order differential equations with attention to detail in solutions and several models: tank mixing problems, mortgage, escape velocityKeywords: differential equation, model, first order, tank...

2005Tarantola, Albert  Inverse Problem Theory and Methods for Model Parameter Estimation. Text
11 Sep 2017  Contributor(s):: Brian Winkel
Tarantola, Albert. 2005. Inverse Problem Theory and Methods for Model Parameter Estimation, Philadelphia: SIAM. 358 pp. See http://www.ipgp.fr/~tarantola/Files/Professional/Books/InverseProblemTheory.pdf . Accessed 10 September 2017.This is a bible of approaches to support...

2010Phillips, Collin  Modelling and Calculus. Draft Text
11 Sep 2017  Contributor(s):: Brian Winkel
Phillips, Collin. 2010. Modelling and Calculus. Draft Text. 72 pp.Basically, this is what the author offers, “The interpretation and translation of natural and real world problems that are described in words into a specification and description of the modelling problem in the language...

2012Rusinko, Joseph and Hannah Swan  AgentBased Fabric Modeling Using Differential Equations.
11 Sep 2017  Contributor(s):: Brian Winkel
Rusinko, Joseph and Hannah Swan. 2012. AgentBased Fabric Modeling Using Differential Equations. CODEE Journal. 9(1):112.See http://scholarship.claremont.edu/codee/vol9/iss1/7/ . Accessed 10 September 2017.Abstract: We use an agentbased modeling software, NetLogo, to simulate...

2012Misra, Arvind Kumar  A simple mathematical model for the spread of two political parties.
11 Sep 2017  Contributor(s):: Brian Winkel
Misra, Arvind Kumar. 2012. A simple mathematical model for the spread of two political parties. Nonlinear Analysis: Modelling and Control. 17(3): 343–354.See https://core.ac.uk/download/pdf/322857553.pdf. Abstract. In this paper, a nonlinear mathematical model...

2013Huber, Michael EtAl  Teaching Differential Equations With Modeling  Notes
11 Sep 2017  Contributor(s):: Brian Winkel
2013HuberEtAlTeaching Differential Equations With Modeling. Notes from JMM 2013 Minicourse.From the preface, “Mathematical modeling has been an important part of our differential equations courses for many years and we appreciate the opportunity to share our passion and ideas with...

2010Soetaert, Karline, Thoas Petzoldt, R. Woodrow Setzer  Solving Differential Equations in R.
11 Sep 2017  Contributor(s):: Brian Winkel
Soetaert, Karline, Thoas Petzoldt, R. Woodrow Setzer. 2010. Solving Differential Equations in R. The R Journal. 2(2): 515.See https://journal.rproject.org/archive/2010/RJ2010013/RJ2010013.pdf .Abstract: Although R is still predominantly applied for statistical analysis and...

2015Sayama, U.  Intro to Modeling and Analysis of Complex Systems
10 Sep 2017  Contributor(s):: Brian Winkel
Sayama, U. 2015. Intro to Modeling and Analysis of Complex Systems. Geneseo NY: Open SUNY Textbooks. 498 pp.Available at https://textbooks.opensuny.org/introductiontothemodelingandanalysisofcomplexsystems/ . Accessed 10 September 2017.From web site, “Introduction to the...

2012Bourne, Murray  Modeling fish stocks.
10 Sep 2017  Contributor(s):: Brian Winkel
Bourne, Murray. 2012. BourneModeling fish stocks.https://www.intmath.com/blog/mathematics/modelingfishstocks7377 . Accessed 10 September 2017.Discusses many models of harvesting and consequences.Keywords: logistic, harvest, differential equation, model, first order,...

2013Slavik, Antonin  Mixing Problems with Many Tanks.
10 Sep 2017  Contributor(s):: Brian Winkel
Slavik, Antonin. 2013. Mixing Problems with Many Tanks. Mathematics Monthly. 120: 806821.See https://www.tandfonline.com/doi/abs/10.4169/amer.math.monthly.120.09.806 .Discusses many tank configurations, circular, cascading, in a row, etc. and the attendant matrix...

2008Padir, Taskin, Kimberly Muller, Collett Coullard  Teaching Differential Equations in a Diverse Classroom.
10 Sep 2017  Contributor(s):: Brian Winkel
Padir, Taskin, Kimberly Muller, Collett Coullard. 2008. Teaching Differential Equations in a Diverse Classroom. ASEE Conference. 13 pp.See https://peer.asee.org/teachingdifferentialequationsinadiverseclassroom.pdf .Diverse means different kinds of engineering majors. The...

2011Yuan, Yhe, Stephan V. Joubert, Ying Hal  Real life applications of ODEs for Undergraduates
10 Sep 2017  Contributor(s):: Brian Winkel
Yuan, Yhe, Stephan V. Joubert, Ying Hal. 2011. Real life applications of ODEs for UndergraduatesSee https://lupucezar.files.wordpress.com/2011/02/yuan.pdf . Accessed 10 September 2017.Abstract: This study introduces reallife mathematical theories and models of international...

2014Bozkurt, Fatma and Fatma Peker  Mathematical modelling of HIV epidemic and stability analysis.
10 Sep 2017  Contributor(s):: Brian Winkel
Bozkurt, Fatma and Fatma Peker. 2014. Mathematical modelling of HIV epidemic and stability analysis. Advances in Difference Equations. 95.See http://www.advancesindifferenceequations.com/content/2014/1/95 . Accessed 10 September 2017.Abstract: A nonlinear mathematical...

2009EdelsteinKeshet, Leah  Chapter 11 – Differential Equations. Notes.
10 Sep 2017  Contributor(s):: Brian Winkel
EdelsteinKeshet, Leah. 2009. Chapter 11 – Differential Equations. See http://ugrad.math.ubc.ca/coursedoc/math103/keshet.notes/chapter11Notes.pdf . Accessed 10 September 2017.Thorough and very readable material on many topics in differential equation, e.g.,...

2007Steffensen, Mogen  Differential Equations in Finance and Life Insurance.
10 Sep 2017  Contributor(s):: Brian Winkel
Steffensen, Mogen. 2007. Differential Equations in Finance and Life Insurance. In: Jensen, B.S. and Palokangas, T. (2007) Stochastic Economic Dynamics. CBS press.From the opening of the paper,“The mathematics of finance and the mathematics of life insurance were always...

1994Yamaguti, M.  Discrete Models in Social Sciences.
10 Sep 2017  Contributor(s):: Brian Winkel
Yamaguti, M. 1994. Discrete Models in Social Sciences. Computers Math. Applic. 28(1012): 263267. See https://www.sciencedirect.com/science/article/pii/0898122194001960 .Abstract: Behaviors of solutions of a differential equation and its discretization sometimes...

2017Unknown  Simplified MultiStorey Shear Building Model
10 Sep 2017  Contributor(s):: Brian Winkel
Simplified MultiStorey Shear Buildoing Model. Notes. 22 pp.The opening paragraphs to give a flavor of the presentation style,Assumptions in shear building modelThe simplest possible multidegree of freedom idealisation is to assume that only the x and y horizontal sway motions and the z...

2012Koch, Gilbert  Modeling of Pharmacokinetic and Pharmacodynamics of Cancer and Arthritis. PhD Dissertation.
10 Sep 2017  Contributor(s):: Brian Winkel
Koch, Gilbert. 2012. Modeling of Pharmacokinetic and Pharmacodynamics of Cancer and Arthritis. PhD Dissertation. 118 pp.See http://www.math.unikonstanz.de/numerik/personen/koch/papers/Diss_Koch_Final.pdf .Abstract: Mathematical modeling of pharmacokinetics / pharmacodynamics (PKPD)...