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Eric Kostelich

President's Professor
Faculty, TEMPE Campus, Mailcode 1804
Biography

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.

Education

PhD, 1985, University of Maryland, College Park

Eric Kostelich's faculty webpage

Research Group

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.

Publications
  • M. Moustaoui, A. Mahalov, and E. J. Kostelich. A numerical method based on leapfrog and a fourth-order implicit time filter. Monthly Weather Review (2014).
  • T. Bellsky, E. J. Kostelich, and A. Mahalov. Kalman filter data assimilation: Targeting observations and parameter estimation. Chaos (2014).
  • M. Moustaoui, A. Mahalov, and E. J. Kostelich. A numerical method based on leapfrog and a fourth-order implicit time filter. Monthly Weather Review (2013).
  • J. McDaniel, E. J. Kostelich, Y. Kuang, J. Nagy, M. C. Preul, N. Z. Moore and N. L. Matirosyan. Data Assimi- lation in Brain Tumor Models. Mathematical Methods and Models in Biomedicine (2013).
  • E. J. Kostelich, Y. Kuang, J. McDaniel, N. Z. Moore, N. L. Martirosyan, and M. C. Preul. Accurate state estimation from uncertain data and models: An application of data assimilation to mathematical models of human brain tumors. Biology Direct (2011).
  • H. Li, J. Liu, E. Fertig, E. Kalnay, E. Kostelich, and I. Szunyogh. Improved analyses and forecasts with AIRS temperature retrievals using the Local Ensemble Transform Kalman Filter. Journal of Tropical Meteorology (2011).
  • J. A. Aravequia, I. Szunyogh, E. J. Fertig, E. Kalnay, D. Kuhl, and E. J. Kostelich. Evaluation of a strategy for the assimilation of satellite radiance observations with the local ensemble Kalman filter. Monthly Weather Review (2011).
  • M.J. Hoffman, S.J. Greybush, R.J. Wilson, G. Gyarmati, R.N. Hoffman, E. Kalnay, K. Ide, E.J. Kostelich, T. Miyoshi, and I. Szunyogh,. An ensemble Kalman filter data assimilation system for the Martian atmosphere: Implementation and simulation experiments. Icarus (2010).
  • J. Liu, H. Li, E. Kalnay, E.J. Kostelich, and I. Szunyogh. Univariate and multivariate assimilation of AIRS humidity retrievals with the Local Ensemble Transform Kalman Filter. Monthly Weather Review (2009).
  • S. Eikenberry, T. Sankar, M.C. Preul, E.J. Kostelich, C. Thalhauser, and Y. Kuang. Virtual glioblastoma: Growth, migration, and treatment in a three-dimensional mathematical model. Cell Proliferation (2009).
  • I Szunyogh, Eric Kostelich, G Gyarmati, E Kalnay, B Hunt, E Ott, E Satterfield, J Yorke. A local ensemble Kalman filter data assimilation system for the NCEP global model. Tellus (2008).
  • I. Szunyogh, E. J. Kostelich, G. Gyarmati, E. Kalnay, B. R. Hunt, E. Ott, E. Satter?eld, and J. A. Yorke. A local ensemble Kalman Filter data assimilation system for the NCEP global model. Tellus A (2008).
  • J. Liu, E. Fertig, H. Li, E. Kalnay, B. R. Hunt, E. J. Kostelich, I. Szunyogh, and R. Todling. Comparison between the Local Ensemble Transform Kalman Filter and PSAS in the NASA ?nite-volume GCM: Perfect model experiments. Nonlin. Proc. Geophys (2008).
  • R. N. Hoffman, R. M. Ponte, E. J. Kostelich, A. Blumberg, I. Szunyogh, S. V. Vinogradov, and J. M. Henderson. A simulation study using a local ensemble transform Kalman ?lter for data assimilation in New York Harbor. J. Atmos. Ocean Tech (2008).
  • B Hunt, Eric Kostelich, I Szunyogh. Efficient data assimilation for spatiotemporal chaos: A local ensemble transform Kalman filter. Phyisca D (2007).
  • D Kuhl, J Yorke, I Szunyogh, Eric Kostelich, D Patil, G Gyarmati, M Oczkowski, B Hunt, E Kalnay, E Ott. Assessing predictability with a local ensemble Kalman filter. J. Atmos. Sci (2007).
  • I Szunyogh, Eric Kostelich, G Gyarmati, D Patil, B Hunt, E Kalnay, E Ott, J Yorke. Assessing a local ensemble Kalman filter: Perfect model experiments with the NCEP global model. Tellus (2005).
  • B Hunt, E Kalnay, Eric Kostelich, E Ott, D Patil, T Sauer, I Szunyogh, J Yorke, A Zimin. Four-dimensional ensemble Kalman filtering. Tellus A (2004).
  • E Ott, B Hunt, I Szunyogh, A Zimin, Eric Kostelich, M Corazza, E Kalnay, D Patil, J Yorke. A local ensemble Kalman filter for atmospheric data assimilation. Tellus A (2004).
  • E Ott, B Junt, I Szunyogh, A Zimin, Eric Kostelich, M Corazza, E Kalnay, D Patil, J Yorke. Estimating the state of large spatio-temporally chaotic systems. Phys. Lett. A (2004).
  • B Zeff, D Lanterman, R McAllister, R Roy, Eric Kostelich, D Lathrop. Measuring intense rotation and dissipation in turbulent flows. Nature (2003).
  • Eric Kostelich, D Armbruster, Y Lai. Reply to 'Comment on "Intermittency in Chaotic Rotations"'. Phys. Rev. E (2001).
  • Eric Kostelich. Bootstrap estimates of chaotic dynamics. Phys. Rev. E (2000).
  • Eric Kostelich, D Armbruster, Y Lai. Intermittency in chaotic rotations. Phys. Rev. E (2000).
  • Eric Kostelich, M Dhamala, Y Lai. Detecting unstable periodic orbits from transient chaotic time series. Phys. Rev. E (2000).
Research Activity
Spring 2017
Course NumberCourse Title
MAT 272Calc w/Analytic Geometry III
MAT 492Honors Directed Study
MAT 493Honors Thesis
MAT 494Special Topics
APM 792Research
MAT 799Dissertation
APM 799Dissertation
Fall 2016
Course NumberCourse Title
MAT 272Calc w/Analytic Geometry III
MAT 492Honors Directed Study
MAT 493Honors Thesis
MAT 494Special Topics
APM 525High-Performance Computing
MAE 598Special Topics
APM 792Research
MAT 799Dissertation
Summer 2016
Course NumberCourse Title
MAT 494Special Topics
APM 792Research
Spring 2016
Course NumberCourse Title
MAT 272Calc w/Analytic Geometry III
MAT 492Honors Directed Study
MAT 493Honors Thesis
MAT 494Special Topics
APM 792Research
MAT 799Dissertation
APM 799Dissertation
Fall 2015
Course NumberCourse Title
MAT 272Calc w/Analytic Geometry III
MAT 394Special Topics
MAT 492Honors Directed Study
MAT 494Special Topics
APM 792Research
MAT 799Dissertation
Summer 2015
Course NumberCourse Title
MAT 494Special Topics
APM 792Research
Spring 2015
Course NumberCourse Title
MAT 275Modern Differential Equations
MAT 493Honors Thesis
MAT 494Special Topics
MAT 499Individualized Instruction
APM 790Reading and Conference
APM 792Research
MAT 799Dissertation
Fall 2014
Course NumberCourse Title
MAT 394Special Topics
MAT 492Honors Directed Study
MAT 493Honors Thesis
MAT 494Special Topics
MAT 499Individualized Instruction
APM 792Research
MAT 799Dissertation
Summer 2014
Course NumberCourse Title
MAT 494Special Topics
MAT 499Individualized Instruction
MAT 592Research
APM 792Research
Spring 2014
Course NumberCourse Title
MAT 300Mathematical Structures
MAT 394Special Topics
MAT 493Honors Thesis
MAT 494Special Topics
APM 792Research
MAT 799Dissertation
Fall 2013
Course NumberCourse Title
MAT 394Special Topics
MAT 492Honors Directed Study
MAT 493Honors Thesis
MAE 494Special Topics
MAT 494Special Topics
APM 525High-Performance Computing
MAE 598Special Topics
APM 598Special Topics
APM 792Research
MAT 799Dissertation
Summer 2013
Course NumberCourse Title
MAT 494Special Topics
MAT 499Individualized Instruction
MAT 592Research
APM 792Research
Spring 2013
Course NumberCourse Title
MAT 394Special Topics
MAT 492Honors Directed Study
MAT 493Honors Thesis
MAT 494Special Topics
MAT 799Dissertation
Fall 2012
Course NumberCourse Title
MAT 300Mathematical Structures
MAT 492Honors Directed Study
MAT 494Special Topics
MAE 494Special Topics
MAT 499Individualized Instruction
APM 525High-Performance Computing
MAE 598Special Topics
MAT 799Dissertation
Summer 2012
Course NumberCourse Title
MAT 494Special Topics
MAT 499Individualized Instruction
MAT 592Research
Presentations
  • Eric Kostelich. The CSUMS/MCTP program at Arizona State University. MAA Mathfest 2014 (Aug 2014).
  • Eric Kostelich. Data Assimiltion: Statistically Estimating Initial Conditions for Complex Dynamical Models. Statistics Seminar (Aug 2014).
  • Eric J. Kostelich, John Nagy, and Roberto Ribas. The MCTP program at ASU and SCC. Joint MAA-ArizMATYC Conference (Apr 2014).
  • Eric J. Kostelich. An undergraduate course on the mathematics of cancer. Joint Mathematics Meetings (Jan 2014).
  • Eric J. Kostelich and Istvan Szunyogh. Parallel Computing and Bias Correction in Data Assimilation. Workshop on Predictability in Earth Systems Processes, Institute for Mathematics and Its Appiication (Nov 2013).
  • Eric J. Kostelich and Alex Mahalov. Development of an undergraduate course in mathematics and climate. Joint Mathematics Meetings (Jan 2013).
  • Eric J. Kostelich. A Digital Filtering Framework for the Local Ensemble Transform Kalman Filter. 9th American Institute of Mathematical Sciences Conference on Dynamical Systems, (Jul 2012).
  • Eric J. Kostelich. Weather, Uncertainty, Supercomputing, and Cancer: Research Experiences for Math Majors at Arizona State University. SIAM Annual Meeting, Minisymposium on Best Practices for Undergraduate Students in Research (Jul 2012).
  • Eric J. Kostelich. Short-term forecasting of weather and cancer: Finding the initial conditions for complex models from noisy data. Engineering Science and Applied Mathematics Colloquium (Feb 2012).
  • Eric J. Kostelich. Forecasting Cancer: Finding the Initial Conditions for Spatiotemporal Dynamical Models. Joint Mathematics Meetings, AMS Session on Mathematical Biology and Related Fields, II (Jan 2012).
  • Eric Kostelich. Short-term forecasting of weather and cancer: Finding the initial conditions for complex models from noisy data. Applied Mathematics Colloquium, University of Arizona (Sep 2011).
  • Eric Kostelich. Short-term forecasting of weather and cancer: Finding the initial conditions for complex models from noisy data. Nonlinear Dynamics, Environmental Fluids, and Sustainability seminar (Sep 2011).
  • Eric Kostelich. Dynamical Systems and Uncertainty. TIFR Data Assimilation Research Program (Jul 2011).
  • Eric Kostelich. The Local Ensemble Transform Kalman Filter. TIFR Data Assimilation Research Conferernce (Jul 2011).
  • Eric Kostelich. Unstable dimension variability in nonlinear dynamical systems. International Conference on Industrial and Applied Mathematics (ICIAM 2011) (Jul 2011).
  • Eric Kostelich. Forecasting Gliomas: Using Mathematics to Model Growth. Neuroscience Seminar, Barrow Neurological Institute (May 2011).
  • Eric Kostelich. Data assimilation for cancer forecasting. SIAM Conference on Applications of Dynamical Systems (May 2011).
  • Eric J. Kostelich. Undergraduate Research Experiences in Computational Mathematics. SIAM Conference on Computational Science and Engineering (Mar 2011).
  • E.J. Kostelich. Data assimilation: Finding the initial conditions in complex dynamical systems. HPC for Space & Environmental Flows (Oct 2010).
  • E.J. Kostelich. Undergraduate Research Experiences in Computational Mathematics. minisymposium, SIAM annual meeting, July 15, 2010 (Jul 2010).
  • E.J. Kostelich. Current progress on data assimilation with the Local Ensemble Transform Kalman Filter. Data Assimilation and Climate Research conference, (Jun 2010).
  • E.J. Kostelich. Forecasting Cancer. Colloquium (Mar 2010).
  • E.J. Kostelich. Can we forecast cancer?. Dynamics pizza talk (Mar 2010).
  • Eric J. Kostelich. The Computational Mathematical Sciences Program at Arizona State University. SIAM Conference on Computational Science and Engineering (Mar 2009).
  • Eric J. Kostelich. The Local Ensemble Transform Kalman Filter. SIAM Conference on Computational Science and Engineering (Mar 2009).
  • Eric J. Kostelich. Data Assimilation: Finding the Initial Conditions in Complex Dynamical Systems. Colloquium, Dept. of Mathematics, Iowa State University (Mar 2009).
  • Eric J. Kostelich. The Local Ensemble Kalman Filter for Data Assimilation. SIAM National Meeting (Jul 2008).
  • Eric J. Kostelich. Applied Dynamics for Weather and Climate Prediction. SIAM National Meeting (Jul 2008).
  • Eric J. Kostelich. 1) Data assimilation issues in weather and climate. 2) Introduction to ensemble forecasting. 3) The Local Ensemble Transform Kalman Filter (parts I & II). Climate Change Summer School, MSRI, Berkeley, CA (Jul 2008).
  • Eric J. Kostelich. The Local Ensemble Transform Kalman Filter (LETKF). BIRS Data Assimilation Workshop, Feb. 3-8, 2008 (Feb 2008).
  • Kostelich, Eric. Invited talk, session on Computational Methods in Nonlinear Dynamics, 7th World Congress on Computational Mechanics (Jul 2006).
  • Kostelich, Eric. Data Assimilation: Finding the Initial Conditions in Large Dynamical Systems. Center for Nonlinear Dynamics, Dept. of Physics, University of Texas, Austin (Apr 2006).
  • Kostelich, Eric. (on the Local Ensemble Transform Kalman Filter scheme for weather prediction). Data mining seminar, Dept. of Mathematics and Statistics (Feb 2006).
  • Kostelich, Eric. Data assimilation: Finding the initial conditions in spatiotemporal chaotic systems. Fifth Understanding Complex Systems Symposium, Dept. of Physics, University of Illinois-Urbana (May 2005).
  • Kostelich, Eric. Colloquium, Dept. of Mathematics (Feb 2004).
  • Kostelich, Eric. Invited session talk, Joint Mathematics Meetings (Jan 2004).
  • Kostelich, Eric. Minisymposium talk, Joint Mathematics Meetings (Jan 2004).
  • Kostelich, Eric. Invited talk and workshop, AMS-MER Workshop on Excellence in Undergraduate Mathematics (Sep 2003).
  • Kostelich, Eric. Invited minisymposium talk, SIAM Conference on Applied Dynamical Systems (May 2003).
  • Kostelich, Eric. Colloquium, Dept. of Mathematics and Statistics (Feb 2003).
  • Kostelich, Eric. Invited talk and workshop, AMS-MER workshop on Excellence in Undergraduate Mathematics: Diversification of Upper Level Mathematics Programs (Nov 2002).
  • Kostelich, Eric. International School: Topics in Nonlinear Dynamics (Feb 2002).
  • Kostelich, Eric. AMS-MER workshop on Excellence in Undergraduate Mathematics, Mathematics for the "Rest of Us" (Dec 2001).
  • Kostelich, Eric. Fields Institute for Mathematical Sciences (Dec 2001).
  • Kostelich, Eric. Gordon Conference on Nonlinear Science (Jun 2001).
  • Kostelich, Eric. 6th SIAM Conference on Applications of Dynamical Systems (May 2001).
  • Kostelich, Eric. American Physical Society Annual Meeting (Mar 2001).
  • Kostelich, Eric. Southwest Regional DynamicsWorkshop (Nov 2000).
  • Kostelich, Eric. Applied Dynamics Seminar (Oct 2000).
  • Kostelich, Eric. Minisymposium, SIAM Pacific Rim Dynamical Systems conference (Aug 2000).
  • Kostelich, Eric. Conference on Nonlinear Dynamics and Pattern Formation: A Celebration of Harry Swinney's 60th Birthday (Jun 2000).
  • Kostelich, Eric. International School on Space-Time Chaos, Institute of Physics (Jun 2000).
  • Kostelich, Eric. Colloquium, Dept. of Mechanical and Aerospace Engineering (Apr 2000).
  • Kostelich, Eric. Southwestern Section meeting, American Mathematical Society (Mar 2000).
  • Kostelich, Eric. Dynamics Days. Nineteenth Annual Workshop (Jan 2000).
  • Kostelich, Eric. SIAM Conference on the Applications of Dynamical Systems
  • Kostelich, Eric. SIAM Conference on the Geosciences
  • Kostelich, Eric. Keynote: Data Assimilation: Finding Initial Conditions and Parameters from Measurements. 9th U.S. National Congress on Computational Mechanics
  • Kostelich, Eric. Undergraduate mathematics: challenges for the future. AMS-MER Workshop on Excellence in Undergraduate Mathematics: Mobilizing for the Future
Service
  • National Scholarships and Fellowships Committee, Member (2011 - Present)
  • National Science Foundation, panel member (2008 - Present)
  • Physica D, Referee (1989 - Present)
  • Physical Review E, Referee (1989 - Present)
  • SIAM Journal of Applied Dynamical Systems, Associate editor and member of the editorial board (2013 - 2016)
  • Goldwater Scholarship selection committee, member (2007 - 2016)
  • Churchill Scholarship selection committee, Member (2014 - 2015)
  • SIAM Education Committee, Member (2012 - 2015)
  • SIAM Journal of Applied Dynamical Systems, Associate editor and member of the editorial board (2013 - 2014)
  • SIAM Journal of Applied Dynamical Systems, Associate editor and member of the editorial board (2012 - 2014)
  • University Senate, Senator (2013 - 2014)
  • University Senate, SoMSS senator (2012 - 2014)
  • National Science Foundation DMS review panel, Panelist (2014 - 2014)
  • More Graduate Education @Mountain States Alliance & Western Alliance to Expand Student Opportunities, Student Research Conference poster judge (2013 - 2013)
  • National Science Foundation review panel, Panelist (2013 - 2013)
  • University Academic Senate, Senator (elected) (2011 - 2012)
  • National Science Foundation, Member, Workforce Development Review Panel (2011 - 2011)
  • Proc. Natl. Acad. Sci., referee (2010 - 2010)
  • Physica D, referee (2010 - 2010)
  • Physica D, referee (2009 - 2009)
  • Physical Review E, referee (2009 - 2009)
  • CAPC/TCCS, member (2007 - 2009)
  • CLAS Senate, member (2007 - 2009)
  • CLAS Senate, Department senator (2007 - 2009)
  • Curriculum and Academic Programs Committee, member (2007 - 2009)
  • Curriculum and Academic Programs Committee (CAPC), member (2007 - 2009)
  • University Senate, Department senator (2007 - 2009)
  • University Senate, Department senator (2007 - 2009)
  • CLAS Senate, Senator (2007 - 2009)
  • Imaging, Signals and Stochastics Panel, National Science Foundation, panrelist (2009 - 2009)
  • Goldwater Scholarship selection committee, member (2007 - 2007)
  • Aequationes Mathematicae, Reviewer (2006 - 2006)
  • Cambridge University Press, referee (2006 - 2006)
  • Arizona Student Research Conference, judge (2006 - 2006)
  • CLAS Curriculum Committee, Chairman (2004 - 2005)
  • Undergraduate advisory committee, Dept. of Mathematics and Statistcis, member (2004 - 2005)
  • CLAS Curriculum Committee, Chair (2004 - 2005)
  • Physica D, Editor (2000 - 2004)
  • Dynamics Days Arizona, Co-organizer (2003 - 2003)