President's Professor

School of Math & Stat Sciences

Faculty

Mail Code: 1804

PS A833
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(480)965-5006

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**Office Hours:**

Tuesday 3:30-4:30; Thursday 2-3; and by appointment.

**Undergraduate advising:**

Please email Professor Kostelich for an appointment. If you need urgent assistance and he is unavailable, please call the Undergraduate Office at (480) 965-7195 for an appointment with another advisor.

Differential equations, Dynamical systems

Eric Kostelich is a professor in the Department of Mathematics and Statistics. He received his Ph.D. in Applied Mathematics from the University of Maryland in College Park. Prior to his arrival at ASU, Prof. Kostelich was in the Center for Nonlinear Dynamics in the Department of Physics at the University of Texas at Austin.

**Research**

Professor Kostelich's research interests are in applications of nonlinear dynamics. One of his principal projects regards data assimilation, the process by which the current state of a complex dynamical system (such as a numerical weather prediction model) is estimated from a collection of noisy observations and uncertain forecasts. He also has interests in mathematical biology, particularly modeling and predicting the dynamics of malignant brain tumors.

**Special projects at ASU**

Professor Kostelich directs the Computational Science Training for Undergraduates in the Mathematical Sciences program at ASU, 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.

Course Number | Course Title |
---|---|

APM 792 | Research |

MAT 494 | Special Topics |

Course Number | Course Title |
---|---|

APM 792 | Research |

APM 799 | Dissertation |

MAT 272 | Calc w/Analytic Geometry III |

MAT 492 | Honors Directed Study |

MAT 493 | Honors Thesis |

MAT 494 | Special Topics |

MAT 799 | Dissertation |

Course Number | Course Title |
---|---|

APM 792 | Research |

MAT 272 | Calc w/Analytic Geometry III |

MAT 394 | Special Topics |

MAT 492 | Honors Directed Study |

MAT 494 | Special Topics |

MAT 799 | Dissertation |

Course Number | Course Title |
---|---|

APM 792 | Research |

MAT 494 | Special Topics |

Course Number | Course Title |
---|---|

APM 790 | Reading and Conference |

APM 792 | Research |

MAT 275 | Modern Differential Equations |

MAT 493 | Honors Thesis |

MAT 494 | Special Topics |

MAT 499 | Individualized Instruction |

MAT 799 | Dissertation |

Course Number | Course Title |
---|---|

APM 792 | Research |

MAT 394 | Special Topics |

MAT 492 | Honors Directed Study |

MAT 493 | Honors Thesis |

MAT 494 | Special Topics |

MAT 499 | Individualized Instruction |

MAT 799 | Dissertation |

Course Number | Course Title |
---|---|

APM 792 | Research |

MAT 494 | Special Topics |

MAT 499 | Individualized Instruction |

MAT 592 | Research |

Course Number | Course Title |
---|---|

APM 792 | Research |

MAT 300 | Mathematical Structures |

MAT 394 | Special Topics |

MAT 493 | Honors Thesis |

MAT 494 | Special Topics |

MAT 799 | Dissertation |

Course Number | Course Title |
---|---|

APM 525 | High-Performance Computing |

APM 598 | Special Topics |

APM 792 | Research |

MAE 494 | Special Topics |

MAE 598 | Special Topics |

MAT 394 | Special Topics |

MAT 492 | Honors Directed Study |

MAT 493 | Honors Thesis |

MAT 494 | Special Topics |

MAT 799 | Dissertation |

Course Number | Course Title |
---|---|

APM 792 | Research |

MAT 494 | Special Topics |

MAT 499 | Individualized Instruction |

MAT 592 | Research |

Course Number | Course Title |
---|---|

MAT 394 | Special Topics |

MAT 492 | Honors Directed Study |

MAT 493 | Honors Thesis |

MAT 494 | Special Topics |

MAT 799 | Dissertation |

Course Number | Course Title |
---|---|

APM 525 | High-Performance Computing |

MAE 494 | Special Topics |

MAE 598 | Special Topics |

MAT 300 | Mathematical Structures |

MAT 492 | Honors Directed Study |

MAT 494 | Special Topics |

MAT 499 | Individualized Instruction |

MAT 799 | Dissertation |

Course Number | Course Title |
---|---|

MAT 494 | Special Topics |

MAT 499 | Individualized Instruction |

MAT 592 | Research |

Course Number | Course Title |
---|---|

MAT 300 | Mathematical Structures |

MAT 343 | Applied Linear Algebra |

MAT 493 | Honors Thesis |

MAT 494 | Special Topics |

MAT 592 | Research |

MAT 799 | Dissertation |

Course Number | Course Title |
---|---|

APM 591 | Seminar |

MAT 300 | Mathematical Structures |

MAT 494 | Special Topics |

MAT 591 | Seminar |

MAT 799 | Dissertation |

Mathematically modeling the biological properties of gliomas: A review. Mathematical Biosciences and Engineering (2015).

.A numerical method based on leapfrog and a fourth-order implicit time filter. Monthly Weather Review (2014).

.Kalman filter data assimilation: Targeting observations and parameter estimation. Chaos (2014).

.A numerical method based on leapfrog and a fourth-order implicit time filter. Monthly Weather Review (2013).

.Book chapter: Data Assimi- lation in Brain Tumor Models.. Mathematical Methods and Models in Biomedicine.. Springer-Verlag. (2013).

.Accurate state estimation from uncertain data and models: An application of data assimilation to mathematical models of human brain tumors. Biology Direct (2011).

.Improved analyses and forecasts with AIRS temperature retrievals using the Local Ensemble Transform Kalman Filter. Journal of Tropical Meteorology (2011).

.Evaluation of a strategy for the assimilation of satellite radiance observations with the local ensemble Kalman filter. Monthly Weather Review (2011).

.An ensemble Kalman filter data assimilation system for the Martian atmosphere: Implementation and simulation experiments. Icarus (2010).

.Univariate and multivariate assimilation of AIRS humidity retrievals with the Local Ensemble Transform Kalman Filter. Monthly Weather Review (2009).

.Virtual glioblastoma: Growth, migration, and treatment in a three-dimensional mathematical model. Cell Proliferation (2009).

.A local ensemble Kalman filter data assimilation system for the NCEP global model. Tellus (2008).

.A local ensemble Kalman Filter data assimilation system for the NCEP global model. Tellus A (2008).

.Comparison between the Local Ensemble Transform Kalman Filter and PSAS in the NASA ?nite-volume GCM: Perfect model experiments. Nonlin. Proc. Geophys. (2008).

.A simulation study using a local ensemble transform Kalman ?lter for data assimilation in New York Harbor. J. Atmos. Ocean Tech. (2008).

.Efficient data assimilation for spatiotemporal chaos: A local ensemble transform Kalman filter. Phyisca D (2007).

.Assessing predictability with a local ensemble Kalman filter. J. Atmos. Sci (2007).

.Assessing a local ensemble Kalman filter: Perfect model experiments with the NCEP global model. Tellus (2005).

.Four-dimensional ensemble Kalman filtering. Tellus A (2004).

.A local ensemble Kalman filter for atmospheric data assimilation. Tellus A (2004).

.Estimating the state of large spatio-temporally chaotic systems. Phys. Lett. A (2004).

.Measuring intense rotation and dissipation in turbulent flows. Nature (2003).

.Reply to 'Comment on "Intermittency in Chaotic Rotations"'. Phys. Rev. E (2001).

.Bootstrap estimates of chaotic dynamics. Phys. Rev. E (2000).

.Intermittency in chaotic rotations. Phys. Rev. E (2000).

.Detecting unstable periodic orbits from transient chaotic time series. Phys. Rev. E (2000).

.

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- The CSUMS/MCTP program at Arizona State University. MAA Mathfest 2014. (Aug 2014).
- Data Assimiltion: Statistically Estimating Initial Conditions for Complex Dynamical Models. Statistics Seminar. (Aug 2014).
- The MCTP program at ASU and SCC. Joint MAA-ArizMATYC Conference. (Apr 2014).
- An undergraduate course on the mathematics of cancer. Joint Mathematics Meetings. (Jan 2014).
- Parallel Computing and Bias Correction in Data Assimilation. Workshop on Predictability in Earth Systems Processes, Institute for Mathematics and Its Appiication. (Nov 2013).
- Development of an undergraduate course in mathematics and climate. Joint Mathematics Meetings. (Jan 2013).
- A Digital Filtering Framework for the Local Ensemble Transform Kalman Filter. 9th American Institute of Mathematical Sciences Conference on Dynamical Systems,. (Jul 2012).
- 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).
- 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).
- Forecasting Cancer: Finding the Initial Conditions for Spatiotemporal Dynamical Models. Joint Mathematics Meetings, AMS Session on Mathematical Biology and Related Fields, II. (Jan 2012).
- 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).
- 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).
- Dynamical Systems and Uncertainty. TIFR Data Assimilation Research Program. (Jul 2011).
- The Local Ensemble Transform Kalman Filter. TIFR Data Assimilation Research Conferernce. (Jul 2011).
- Unstable dimension variability in nonlinear dynamical systems. International Conference on Industrial and Applied Mathematics (ICIAM 2011). (Jul 2011).
- Forecasting Gliomas: Using Mathematics to Model Growth. Neuroscience Seminar, Barrow Neurological Institute. (May 2011).
- Data assimilation for cancer forecasting. SIAM Conference on Applications of Dynamical Systems. (May 2011).
- Undergraduate Research Experiences in Computational Mathematics. SIAM Conference on Computational Science and Engineering. (Mar 2011).
- Data assimilation: Finding the initial conditions in complex dynamical systems. HPC for Space & Environmental Flows. (Oct 2010).
- Undergraduate Research Experiences in Computational Mathematics. minisymposium, SIAM annual meeting, July 15, 2010. (Jul 2010).
- Current progress on data assimilation with the Local Ensemble Transform Kalman Filter. Data Assimilation and Climate Research conference,. (Jun 2010).
- Forecasting Cancer. Colloquium. (Mar 2010).
- Can we forecast cancer?. Dynamics pizza talk. (Mar 2010).
- The Computational Mathematical Sciences Program at Arizona State University. SIAM Conference on Computational Science and Engineering. (Mar 2009).
- The Local Ensemble Transform Kalman Filter. SIAM Conference on Computational Science and Engineering. (Mar 2009).
- Data Assimilation: Finding the Initial Conditions in Complex Dynamical Systems. Colloquium, Dept. of Mathematics, Iowa State University. (Mar 2009).
- The Local Ensemble Kalman Filter for Data Assimilation. SIAM National Meeting. (Jul 2008).
- Applied Dynamics for Weather and Climate Prediction. SIAM National Meeting. (Jul 2008).
- 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).
- The Local Ensemble Transform Kalman Filter (LETKF). BIRS Data Assimilation Workshop, Feb. 3-8, 2008. (Feb 2008).
- Invited talk, session on Computational Methods in Nonlinear Dynamics, 7th World Congress on Computational Mechanics. (Jul 2006).
- Data Assimilation: Finding the Initial Conditions in Large Dynamical Systems. Center for Nonlinear Dynamics, Dept. of Physics, University of Texas, Austin. (Apr 2006).
- (on the Local Ensemble Transform Kalman Filter scheme for weather prediction). Data mining seminar, Dept. of Mathematics and Statistics. (Feb 2006).
- Data assimilation: Finding the initial conditions in spatiotemporal chaotic systems. Fifth Understanding Complex Systems Symposium, Dept. of Physics, University of Illinois-Urbana. (May 2005).
- Colloquium, Dept. of Mathematics. (Feb 2004).
- Invited session talk, Joint Mathematics Meetings. (Jan 2004).
- Minisymposium talk, Joint Mathematics Meetings. (Jan 2004).
- Invited talk and workshop, AMS-MER Workshop on Excellence in Undergraduate Mathematics. (Sep 2003).
- Invited minisymposium talk, SIAM Conference on Applied Dynamical Systems. (May 2003).
- Colloquium, Dept. of Mathematics and Statistics. (Feb 2003).

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- Kostelich,Eric John * . Scholarships for Needy Students to Pursue Research in Mathematics and Statistics. ASU FDN (7/1/2015 - 2/28/2017).
- Kostelich,Eric John * , Armbruster,Hans Dieter , Czygrinow,Andrzej Michal , Fishel,Susanna , Gelb,Anne , Jacobs,Mark , Kawski,Matthias , Kuang,Yang , Mahalov,Alex , Moustaoui,Mohamed , Platte,Rodrigo B , Tang,Wenbo , . MCTP: Mathematics Mentoring Partnership Between Arizona State University and the Maricopa County Community College District. NSF-MPS-DMS (7/15/2012 - 6/30/2017).
- Kostelich,Eric John * Mahalov,Alex . Collaborative Research: Mathematics and Climate Change Research Network. NSF-MPS-DMS (10/1/2010 - 9/30/2016).
- Kostelich,Eric John * . An Ensemble Kalman Filtering Approach for Regional Ocean Data Assimilation.. ATMOSPHERIC & ENVIRONMENTL RES (5/1/2008 - 10/30/2009).
- Kostelich,Eric John * . Collaborative research:Carbon Data Assimilation with a Coupled Ensemble Kalman Filter. NASA-GODDARD SPACE FLIGHT CTR (12/3/2007 - 12/2/2010).
- 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).
- Kostelich,Eric John * . A Novel Data Assimilation System for Complex Dynamical Systems. NSF-MPS (7/15/2005 - 6/30/2007).
- Kostelich,Eric John * . LOCAL ENSEMBLE KALMAN FILTERING APPLIED TO AIRS SATELLITE DATA. UNIV OF MARYLAND (5/15/2004 - 5/14/2008).
- Rodriguez,Armando A * Kostelich,Eric John Si,Jennie Sugar,Thomas Welfert,Bruno Denis Wells,Valana Lorraine . DEVELOPMENT OF AN INTERACTIVE SYSTEMS AND CONTROLS E-BOOK. NSF-EHR (2/15/2003 - 4/30/2007).
- Kostelich,Eric John * Lai,Ying-Cheng Lai,Ying-Cheng . DYNAMICS DAYS ARIZONA 2003. DOD-NAVY-ONR (12/1/2002 - 9/30/2003).
- Kostelich,Eric John * . DEVELOPMENT AND EVALUATION OF A CURRICULUM IN SCIENTIFIC COMPUTING FOR MATHEMATICAL SCIENCE MAJORS. NSF-EHR (2/15/2002 - 7/31/2004).
- Kostelich,Eric John * Heydt,Gerald . A PROPOSAL FOR RESEARCH ON CHAOS AND MARKOV BASED APPROACHES TO TIME SERIES MODELING OF POWER SYSTEMS ELEMENTS. NSF-ENG (9/1/2000 - 8/31/2002).
- Kostelich,Eric John * Heydt,Gerald . CHAOTIC LOAD MODELS FOR POWER SYSTEMS. NSF-ENG (9/1/1998 - 8/31/2001).
- Kostelich,Eric John * . PROPOSAL FOR A CONFERENCE: DYNAMICS DAYS ARIZONA 1997. DOD-NAVY-ONR (12/17/1996 - 12/31/1997).
- Armbruster,Hans Dieter * Kostelich,Eric John . CHARACTERIZING THE DYNAMICS OF SPATIO-TEMPORAL DATA. NSF-MPS (6/15/1995 - 11/30/1997).
- Kostelich,Eric John * . CHARACTERIZING THE DYNAMICS OF SPATIO-TEMPORAL DATA. DOE (6/1/1994 - 9/30/1996).
- Kostelich,Eric John * . DYNAMICS DAYS AZ 1993. DOD-NAVY (12/1/1992 - 11/30/1993).
- Kostelich,Eric John * . LOW DIMENSIOAL DYNAMICAL CHARACTERIZATION OF POSITIVE DIFFER. NSF (5/15/1991 - 4/30/1995).

* principal investigator

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- 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)
- University Senate, Senator (2015 - 2018)
- National Scholarships and Fellowships Committee, Member (2014 - 2017)
- SIAM Conference on Applied Mathematics Education, Conference co-chair (2015 - 2016)
- SIAM Journal of Applied Dynamical Systems, Associate editor and member of the editorial board (2013 - 2016)
- Committee on Committees, member (2015 - 2016)
- Goldwater Scholarship selection committee, member (2007 - 2016)
- Churchill Scholarship selection committee, Member (2014 - 2015)
- SIAM Education Committee, Member (2012 - 2015)
- Transforming Post-Secondary Education in Mathematics Meeting, invited participant (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)
- More Graduate Education @Mountain States Alliance & Western Alliance to Expand Student Opportunities, Student Research Conference poster judge (2013)
- National Science Foundation review panel, Panelist (2013)
- University Academic Senate, Senator (elected) (2011 - 2012)
- National Science Foundation, Member, Workforce Development Review Panel (2011)
- Proc. Natl. Acad. Sci., referee (2010)
- Physica D, referee (2010)
- Physica D, referee (2009)
- Physical Review E, referee (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)
- Goldwater Scholarship selection committee, member (2007)
- Aequationes Mathematicae, Reviewer (2006)
- Cambridge University Press, referee (2006)
- Arizona Student Research Conference, judge (2006)
- CLAS Curriculum Committee, Chairman (2004 - 2005)

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