Donald Jones

Donald Jones

Associate Professor,
School of Mathematical and Statistical Sciences
Other ASU affiliations
Mathematics
  • dajones@asu.edu
  • Phone: 111-111-1111
  • ‌
  • PS A623 TEMPE, AZ 85287-1804
  • Mail code: 1804
    Campus: Tempe
  • ‌
Biography Research Teaching Public Work
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Long Bio

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
  • Kostelich,Eric John*, Armbruster,Hans Dieter, Crook,Sharon Marie, Crook,Sharon Marie, Gardner,Carl L, Gelb,Anne, Jackiewicz,Zdzislaw, Jones,Donald, Lopez,Juan Manuel, Mahalov,Alex, Renaut,Rosemary Anne, Ringhofer,Christian, Welfert,Bruno Denis. CSUMS: Undergraduate research Experiences for Computational Math Science Majors at ASU. NSF-MPS-DMS(9/15/2007 - 8/31/2014).
Teaching Website URL
Teaching Website
Courses
2025 Spring
Course Number Course Title
MAT 493 Honors Thesis
MAT 499 Individualized Instruction
MAT 495 Undergraduate Research
2024 Fall
Course Number Course Title
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 495 Undergraduate Research
MAT 371 Advanced Calculus I
MAT 499 Individualized Instruction
MAT 274 Elem Differential Equations
2024 Summer
Course Number Course Title
MAT 495 Undergraduate Research
2024 Spring
Course Number Course Title
MAT 493 Honors Thesis
MAT 499 Individualized Instruction
MAT 495 Undergraduate Research
2023 Fall
Course Number Course Title
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 371 Advanced Calculus I
MAT 495 Undergraduate Research
MAT 499 Individualized Instruction
MAT 275 Modern Differential Equations
2023 Summer
Course Number Course Title
MAT 495 Undergraduate Research
2023 Spring
Course Number Course Title
MAT 493 Honors Thesis
MAT 499 Individualized Instruction
MAT 495 Undergraduate Research
MAT 476 Partial Differential Equations
2022 Fall
Course Number Course Title
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
STP 421 Probability
MAT 484 Internship
MAT 495 Undergraduate Research
MAT 499 Individualized Instruction
2022 Summer
Course Number Course Title
MAT 484 Internship
MAT 495 Undergraduate Research
MAT 484 Internship
2022 Spring
Course Number Course Title
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 499 Individualized Instruction
MAT 495 Undergraduate Research
MAT 484 Internship
MAT 476 Partial Differential Equations
MAT 343 Applied Linear Algebra
2021 Fall
Course Number Course Title
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
STP 421 Probability
MAT 275 Modern Differential Equations
MAT 484 Internship
MAT 495 Undergraduate Research
MAT 499 Individualized Instruction
2021 Summer
Course Number Course Title
MAT 484 Internship
MAT 484 Internship
2021 Spring
Course Number Course Title
MAT 371 Advanced Calculus I
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 499 Individualized Instruction
MAT 495 Undergraduate Research
MAT 484 Internship
MAT 342 Linear Algebra
2020 Fall
Course Number Course Title
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
STP 421 Probability
MAT 267 Calculus for Engineers III
MAT 484 Internship
MAT 495 Undergraduate Research
MAT 499 Individualized Instruction
2020 Summer
Course Number Course Title
MAT 484 Internship
MAT 484 Internship
2020 Spring
Course Number Course Title
MAT 371 Advanced Calculus I
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 499 Individualized Instruction
STP 421 Probability
MAT 495 Undergraduate Research
MAT 484 Internship
MAT 591 Seminar
2019 Fall
Course Number Course Title
MAT 300 Mathematical Structures
MAT 492 Honors Directed Study
MAT 493 Honors Thesis
MAT 484 Internship
MAT 495 Undergraduate Research
MAT 591 Seminar
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)
Expertise Areas
Applied Mathematics
Nonlinear Dynamical Systems
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