Joanna Bieri

Asst Professor, Math/Compt Sc
Math & Computer Science

Joanna Bieri


Ph.D. Engineering Science and Applied Mathematics, Northwestern University, 2009

M.S. Engineering Science and Applied Mathematics, Northwestern University, 2005

B.S. Math and Physics, Northern Arizona University, 2002


Appleton Hall
P: 909.748.8630

Academic Interests and Areas of Expertise

  • Applied Mathematics
  • Numerical Analysis
  • Asymptotic and Perturbation Theory
  • Math Modeling
  • Combustion Theory
  • Resource and Environmental Modeling

Description of Research and Professional Background

I currently work in the area of mathematical modeling and numerical analysis. I am interested in the study of micro-combustion. Specifically, I am working toward understanding how flames behave when they are confined to very narrow channels. This research has applications to the development of micro-engines and heat sources, both of which could be important in industrial situations or space exploration missions. I also have a background in human-environment interaction modeling. I am a member of the Resources Modeling Association and have worked with the Grand Canyon National Park, toward modeling the impacts of rafting traffic on the Colorado River. This research informed the development of a new Colorado River Management Plan in 2005. My most recent research, as part of a National Institute for Mathematical and Biological Synthesis working group, is concerned with modeling the importance of habitats in migratory species.


Courses Taught

MATH 121/122/221 Calculus I-III

MATH 235 Differential Equations

MATH 231/335 Mathematical Modeling

MATH 331 Numerical Analysis

MATH 338 Partial Differential Equations

Nonlinear Dynamics

Senior Seminar


Lecturer, McCormick School of Engineering, Northwestern University 


Ecosystem service flows from a migratory species: spatial subsidies of the northern pintail, Kenneth J. Bagstad, Darius J. Semmens, James E. Diffendorfer, Brady J. Mattsson, James Dubovsky, Wayne E. Thogmartin, Ruscena Wiederholt, John Loomis, Joshua Goldstein, Joanna A. Bieri, Christine Sample, and Laura López-Hoffman. Ambio (In Review)

A guide to calculating habitat-quality metrics to inform conservation of highly mobile species, Bieri JA, Sample C, Thogmartin WE, et al. A guide to calculating habitat-quality metrics to inform conservation of highly mobile species. Natural Resource Model. 2018;e12156, 2018.

A General Modeling Framework for Describing Spatio-temporal Population Dynamics, C. Sample, J. Fryxell, J.A. Bieri, P Federico, J. Earl, R. Wiederhold, B. Mattsson, T. Flockhart, S. Nicol, J. Diffendorfer, W. Thogmartin, R. Erickson, R. Norris. Ecology and Evolution, 2018

Defining and Classifying Migratory Habitats as Sources and Sinks: The Migratory Pathway Approach, R.A. Erikson, J.E. Diffendorfer, D.R. Norris, J.A. Bieri, J.E. Earl, P. Fedrico, J.M. Fryxell, K.R. Long, B.J. Mattsson, C. S. Sample, R. Wiederholt, W.E. Thogmartin. Journal of Applied Ecology, 2017.

Edge Flames Stabilized in a Nonpremixed Microcombistor, J.A. Bieri and M. Matalon. Combustion Theory and Modeling, 2011. (Refereed Journal)

Modeling Complex Human-Environment Interactions: The Grand Canyon River Trip Simulator, C. A. Roberts, D. Stallman and J. A. Bieri, J. Ecological Modeling, Vol. 153, Issue 2, 2002, pp. 181-196. (Refereed Journal)

Using the Grand Canyon River Trip Simulator to Test New Launch Schedules on the Colorado River, J. A. Bieri and C. A. Roberts, AWIS Magazine, Vol. 29, No. 3, Association for Women in Science, Washington DC, 2000, pp. 6-10. (Invited Article)

Awards, Honors, Grants

Outstanding Teaching Award, The University of Redlands, 2015

Faculty Research Grant, University of Redlands 2012

Outstanding Teaching Award, The University of Redlands, 2011 

NASA Graduate Student Research Fellowship 2004-2009

Community Building Grant for McCormick Graduate Leadership Council 2007-2008

Invited Presentations

The Effect of Gas Expansion on Edge Flames Stabilized in Narrow Channels. J.A. Bieri, M. Matalon, and V.N. Kurdyumov. Proceedings of the 33rd International Symposium on Combustion, 2010. (Conference Proceedings)

Numerical Analysis of the effects of Heat Loss on an Edge Flame in a Narrow Channel, J.A. Bieri and M. Matalon. American Institute of Aeronautics and Astronautics, 48th Aerospace Sciences Meeting, Orlando Florida, 2010. (Conference Proceedings and Presentation)

The Stabilization of an Edge Flame in a Narrow Channel, J.A. Bieri and M. Matalon, Proceedings of the Combustion Institute, 6th US National Combustion Meeting, 2009. (Conference Proceedings and Presentation)

Dynamics of an Edge-Flame in A Narrow Channel Joint Mathematics Meeting Washington D.C., Jan 2009. (Talk)