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Donald Jones

Associate Director for Undergraduate Programs & Associate Professor
Faculty, TEMPE Campus, Mailcode 1804
Biography

Don Jones studies partial differential equations (PDEs) associated with geophysical fluids. That is, equations resulting from the modeling of the atmosphere, ocean, and interiors of planets. The primary mathematical tools employed come from a branch of mathematics called functional analysis. The analysis is used, in part, to validate, rigorously, the models possess the physical properties engineers and physicists expect. This approach often yields surprising properties of the solutions to the equations and suggests new algorithms for approximating the models.

Education

Ph.D. University of California-Irvine 1992

Publications
  • D Jones, H. Smith, H. Thieme. Spread of Viral Infection of Immobilized Bacteria. Networks and Heterogeneous Media (2013).
  • Jones, H Smith, H. Thieme, G, Rost. Spread of Phage infection of Bacteria in a Petri Dish. SIAM Journal on Applied Mathematics, Vol 72, No.2, 670-688 (2012) (2012).
  • D Jones and Hal Smith. Bacteriophage and Bacteria in a Flow Reactor. Bulletin of Mathematical Biology (2011).
  • Ballyk, M, Jones, Donald, Smith, H. The Biofilm Model of Freter: A Review, a chapter in Structured Population Models in Biology and Epidemiology. Springer-Verlag (2007).
  • Donald Jones. Modified truncation error finite difference schemes. Computational Physics (2006).
  • M Imran, Donald Jones, H Smith. Biofilms and the Plasmid Maintenance Question. Mathematical Biosciences, 193 (2005).
  • Donald Jones, Hristo Kojouharo. Microbial Competition for Nutrient in a 3-D Flow Reactor. Dynamics of Continuous, Discrete, and Implusive Dyanmical Systems,Series B: Applications and Algorithm (2003).
  • Donald Jones, Hristo Kojouharov, Dung Le, H Smith. Bacterial wall attachment in a flow reactor: mixed culture. Canadian. Appl. Math. Quart (2003).
  • Donald Jones, Hristo Kojouharov, Dung Le, H Smith. The Freter Model: a simple model of biofilm formatio. Journal of Mathematical Biolog (2003).
  • Donald Jones. Mathematical analysis of geophysical balance models. J. Diff. Eqs (2002).
  • Donald Jones, A Poje, L Margolin. Accuracy and Non-Oscillatory Properties of Enslaved Difference Schemes. Comp. Phys (2002).
  • Donald Jones, Hristo Kojouharov, Le Dung, H Smith. Bacterial wall attachment in a flow reactor. SIAM Applied Math (2002).
  • M Ballyk, Donald Jones, H Smith. Microbial competition in reactors with wall attachment: a comparison of chemostat and plug flow models. Microbial Ecology (2001).
  • Donald Jones, H Smith. Microbial competition for nutrient and wall sites in plug flow. SIAM Applied Math (2000).
Research Activity
Fall 2019
Course NumberCourse Title
MAT 300Mathematical Structures
MAT 484Internship
MAT 492Honors Directed Study
MAT 493Honors Thesis
MAT 495Undergraduate Research
MAT 591Seminar
Summer 2019
Course NumberCourse Title
MAT 484Internship
Summer 2018
Course NumberCourse Title
MAT 267Calculus for Engineers III
MAT 484Internship
MAT 495Undergraduate Research
Fall 2017
Course NumberCourse Title
MAT 371Advanced Calculus I
MAT 484Internship
MAT 492Honors Directed Study
STP 492Honors Directed Study
STP 493Honors Thesis
MAT 493Honors Thesis
MAT 495Undergraduate Research
STP 499Individualized Instruction
Summer 2017
Course NumberCourse Title
MAT 484Internship
MAT 495Undergraduate Research
Summer 2016
Course NumberCourse Title
MAT 495Undergraduate Research
Spring 2016
Course NumberCourse Title
MAT 476Partial Differential Equations
ACT 484Internship
MAT 484Internship
STP 492Honors Directed Study
MAT 492Honors Directed Study
MAT 493Honors Thesis
MAT 495Undergraduate Research
MAT 499Individualized Instruction
Fall 2015
Course NumberCourse Title
MAT 300Mathematical Structures
MAT 371Advanced Calculus I
MAT 484Internship
MAT 492Honors Directed Study
MAT 493Honors Thesis
MAT 495Undergraduate Research
MAT 499Individualized Instruction
Summer 2015
Course NumberCourse Title
MAT 499Individualized Instruction
Spring 2015
Course NumberCourse Title
MAT 272Calc w/Analytic Geometry III
MAT 300Mathematical Structures
Presentations
  • Me. Modified Finite Difference Schemes for Geophysical Flows. environmental fluids seminar (Sep 2011).
  • me. Mathematical Analysis of Geophysical Balance Models. invited colloquium speaker CUNY (Nov 2009).
  • me. just attended. SW PDE Conference, Univ of California, Irvine (Nov 2009).
  • Jones, Donald. A Fretful Fiasco. Math Club - public (Nov 2005).
  • Jones, Donald. -. Engaging Young Mathematicians (Aug 2005).
  • Jones, Donald. Dynamics and Differential Equations Conference. National conference (Jun 2004).
  • Jones, Donald. Welcoming Speech. AMS-MER Excellence in Undergraduate Mathematics: Mobilizing for the future
Service
  • Frontiers in Energy Research, Editor (2014 - Present)
  • Differential equations qualifier exam committee, Wrote/Graded exam (2004 - Present)
  • Personnel and Budget Committee, Elected Member (2011 - 2012)
  • Personnel and Budget Committee, Elected member (2010 - 2012)
  • Hiring Committee (math ed), Chair (2010 - 2011)
  • Personnel Budget Committee, Elected member (2004 - 2007)
  • Undergraduate advisory committee, Chair (2005 - 2006)
  • Director of Undergraduate Studies, Director (2004 - 2006)
  • Statistics Hire committee, Chair (2005 - 2005)
  • Undergraduate advisory committee chair, Chair (2005 - 2005)
  • Differential equations qualifier exam chair, Chair - wrote exam, formed guidlines for passing grade (2005 - 2005)
  • Differential equations qualifier exam committee, Wrote Exam (2003)
  • Personnel Budget committee, Elected committee member (2003)
  • Undergraduate advisory committe, Committe Member (2003)