University of Colorado Denver College of Liberal Arts and Sciences

Bio

Jan Mandel's undergraduate education was in Informatics with specialization in Mathematical Economics and his M.S. thesis was in Discrete Optimization. Ph.D. area was Numerical and Approximate Methods and his thesis was in iterative aggregation methods.

He has published papers on fast solvers for large linear systems and parallel computing (multigrid and domain decomposition).

He has been recently interested in wildfire modeling, probability, and statistics, data assimilation, and Kalman filters.

He has received grants from the NSF and NIH and graduated 6 PhD students.

Select Publications

J. Šístek, J. Novotný, J. Mandel, M. Čertíková, and P. Burda, "BDDC by a frontal solver and stress computation in a hip joint replacement," Mathematics and Computers in Simulation, 80, 1310-1323, 2010

J. Mandel, J. D. Beezley, J. L. Coen, M. Kim, "Data assimilation for wildland fires: Ensemble Kalman filters in coupled atmosphere-surface models," IEEE Control Systems Magazine 29, Issue 3, 47-65, June 2009

J. Mandel, B. Sousedík, and C. R. Dohrmann, "Multispace and multilevel BDDC," Computing 83, 55-85, 2008

D. H. Glueck, J. Mandel, A. Karimpour-Fard, L. Hunter, and K. E. Muller, "Exact Calculations of Expected Power for the Benjamini-Hochberg Procedure." The International Journal of Biostatistics, Vol. 4, Iss. 1, Art. 11, 2008

J. Mandel, L. S. Bennethum, J. D. Beezley, J. L. Coen, C. C. Douglas, M. Kim, and A. Vodacek, "A wildland fire model with data assimilation." Mathematics and Computers in Simulation 79, 584-606, 2008

Jonathan D. Beezley and Jan Mandel, "Morphing Ensemble Kalman Filters," Tellus 60A, 131-140, 2008

C. J. Johns and J. Mandel, "A Two-Stage Ensemble Kalman Filter for Smooth Data Assimilation," Environmental and Ecological Statistics 15, 101-110, 2008

J. Mandel, C. R. Dohrmann, and R. Tezaur, "An Algebraic Theory for Primal and Dual Substructuring Methods by Constraints," Applied Numerical Mathematics 54, 167–193, 2005

P. Vaněk, J. Mandel, and M. Brezina, "Algebraic Multigrid by Smoothed Aggregation for Second and Fourth Order Elliptic Problems," Computing 56, 179–196, 1996

J. Mandel, "Balancing domain decomposition," Communications in Applied Numerical Methods 9, 233–241, 1993

J. Mandel, "Étude algébrique d’une méthode multigrille pour quelques problèmes de frontière libre," Comptes Rendus Acad. Sci. Paris, Sér. I, 298, 469-472, 1984

J. Mandel and B. Sekerka, "A local convergence proof for the iterative aggregation method," Linear Algebra and its Applications 51, 163-172, 1983

Courses Taught

Math 5070: Applied Analysis
Math 6131: Real Analysis
Math 7760: Mathematical Foundations of Finite Element Methods
Math 7824: Numerical Methods for Partial Differential Equations