Eric Kostelich is interested in nonlinear dynamics, uncertainty quantification, and mathematical biology. He is one of the principal developers of a computationally efficient and very accurate method for estimating the initial conditions of numerical weather models from sparse sets of noisy observations, a procedure called data assimilation. Kostelich has been working on related problems in data assimilation for “space weather” in the ionosphere. In addition, he has written papers on data assimilation for mathematical models of the growth and treatment of cancer, especially prostate cancer and malignant glioma and related forecasting questions, such as the likely duration of treatment response. He has co-authored (with Professor Dieter Armbruster) an undergraduate textbook on differential equations.
Ph.D. University of Maryland-College Park 1985
Professor Kostelich directs the Mentoring Through Critical Transition Points (MCTP) program at ASU in partnership with Maricopa Community Colleges, which is funded by the National Science Foundation. This program provides intensive summer research experiences and a research seminar during the academic year for selected mathematics majors.
D. Armbruster, R. Heiland, E. J. Kostelich and B. Nicolaenko, “Phase space analysis of bursting behavior in Kolomogorov flow,” Physica D 58 (1992), 392–401.
E. J. Kostelich, “Problems in estimating dynamics from data,” Physica D 58 (1992), 138–152.
Z. You, E. J. Kostelich, and J. A. Yorke, “Calculating stable and unstable manifolds,” Bifurcation and Chaos 1 (1991), 605–624.
E. J. Kostelich and J. A. Yorke, “Noise Reduction: Finding the Simplest Dynamical System Consistent with the Data,” by Physica D 41 (1990), 183–196.
W. F. Langford, R. Tagg, E. J. Kostelich, H. L. Swinney, and M. Golubitsky, “Primary Instabilities and Bicriti- cality in Flow between Counterrotating Cylinders,” Physics of Fluids, 31 (1988), 776–785.
Fall 2018 | |
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Course Number | Course Title |
MAT 394 | Special Topics |
MAT 492 | Honors Directed Study |
MAT 493 | Honors Thesis |
MAT 499 | Individualized Instruction |
APM 525 | High-Performance Computing |
MAE 598 | Special Topics |
APM 792 | Research |
MAT 799 | Dissertation |
Summer 2018 | |
---|---|
Course Number | Course Title |
MAT 495 | Undergraduate Research |
APM 792 | Research |
Spring 2018 | |
---|---|
Course Number | Course Title |
MAT 272 | Calc w/Analytic Geometry III |
MAT 492 | Honors Directed Study |
MAT 493 | Honors Thesis |
APM 792 | Research |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Fall 2017 | |
---|---|
Course Number | Course Title |
MAT 275 | Modern Differential Equations |
MAT 394 | Special Topics |
MAT 492 | Honors Directed Study |
MAT 493 | Honors Thesis |
MAT 494 | Special Topics |
APM 792 | Research |
MAT 799 | Dissertation |
Summer 2017 | |
---|---|
Course Number | Course Title |
MAT 494 | Special Topics |
APM 792 | Research |
Spring 2017 | |
---|---|
Course Number | Course Title |
MAT 272 | Calc w/Analytic Geometry III |
MAT 492 | Honors Directed Study |
MAT 493 | Honors Thesis |
MAT 494 | Special Topics |
APM 792 | Research |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Fall 2016 | |
---|---|
Course Number | Course Title |
MAT 272 | Calc w/Analytic Geometry III |
MAT 492 | Honors Directed Study |
MAT 493 | Honors Thesis |
MAT 494 | Special Topics |
APM 525 | High-Performance Computing |
MAE 598 | Special Topics |
APM 792 | Research |
MAT 799 | Dissertation |
Summer 2016 | |
---|---|
Course Number | Course Title |
MAT 494 | Special Topics |
APM 792 | Research |
Spring 2016 | |
---|---|
Course Number | Course Title |
MAT 272 | Calc w/Analytic Geometry III |
MAT 492 | Honors Directed Study |
MAT 493 | Honors Thesis |
MAT 494 | Special Topics |
APM 792 | Research |
MAT 799 | Dissertation |
APM 799 | Dissertation |
Fall 2015 | |
---|---|
Course Number | Course Title |
MAT 272 | Calc w/Analytic Geometry III |
MAT 394 | Special Topics |
MAT 492 | Honors Directed Study |
MAT 494 | Special Topics |
APM 792 | Research |
MAT 799 | Dissertation |
Summer 2015 | |
---|---|
Course Number | Course Title |
MAT 494 | Special Topics |
APM 792 | Research |
Spring 2015 | |
---|---|
Course Number | Course Title |
MAT 275 | Modern Differential Equations |
MAT 493 | Honors Thesis |
MAT 494 | Special Topics |
MAT 499 | Individualized Instruction |
APM 790 | Reading and Conference |
APM 792 | Research |
MAT 799 | Dissertation |
Fall 2014 | |
---|---|
Course Number | Course Title |
MAT 394 | Special Topics |
MAT 492 | Honors Directed Study |
MAT 493 | Honors Thesis |
MAT 494 | Special Topics |
MAT 499 | Individualized Instruction |
APM 792 | Research |
MAT 799 | Dissertation |
Summer 2014 | |
---|---|
Course Number | Course Title |
MAT 494 | Special Topics |
MAT 499 | Individualized Instruction |
MAT 592 | Research |
APM 792 | Research |
Spring 2014 | |
---|---|
Course Number | Course Title |
MAT 300 | Mathematical Structures |
MAT 394 | Special Topics |
MAT 493 | Honors Thesis |
MAT 494 | Special Topics |
APM 792 | Research |
MAT 799 | Dissertation |
Fall 2013 | |
---|---|
Course Number | Course Title |
MAT 394 | Special Topics |
MAT 492 | Honors Directed Study |
MAT 493 | Honors Thesis |
MAE 494 | Special Topics |
MAT 494 | Special Topics |
APM 525 | High-Performance Computing |
MAE 598 | Special Topics |
APM 598 | Special Topics |
APM 792 | Research |
MAT 799 | Dissertation |