# Agnieszka Katarzyna Międlar

College of Liberal Arts and Sciences - Mathematics**Primary office**:

I am native Polish. I got my Master in Computer Science from the Wroclaw University of Technology and PhD in Mathematics from the Technical University of Berlin. Before joining KU I was working at the TU Braunschweig, EPF Lausanne and University of Minnesota.

### Education

**10/2007 - 03/2011** PhD student at Berlin Mathematical School, Institute of Mathematics, Technical University Berlin, Germany

**03/2007 - 07/2007** Socrates-Erasmus Exchange Program in Computer Science, Institute of Computer Science, University of Paderborn, Germany

**10/2003 - 07/2007 **Marketing and Management, Faculty of Computer Science and Management, Politechnika Wrocławska, Poland

**10/2002 - 07/2007** Computer Science, Faculty of Fundamental Problems of Technology, Institute of Mathematics and Computer Science, Politechnika Wrocławska, Poland

### Teaching

### Teaching Interests

- Linear Algebra
- Differential equations
- Numerical Linear Algebra
- Numerical Analysis

### Research

My research covers subjects in numerical analysis for partial differential equations and numerical linear algebra, with a focus on the numerical solution of symmetric and nonsymmetric eigenvalue problems, adaptive finite element methods, a priori and a posteriori error analysis for PDEs including discretization and approximation errors.

My current research is concerned with iterative solvers for challenging large scale linear systems and linear and nonlinear eigenvalue problems, approximation of matrices, data analysis, machine learning, model reduction techniques and stability analysis of dynamical systems. I conduct research in a range from theoretical investigations for problems motivated by engineering applications through to developing advanced computational methods of practical industrial relevance.

### Research Interests

- Numerical linear algebra
- Scientific computing
- Matrix theory and analysis
- Numerical analysis for PDEs

### Selected Publications

## Journal Publications

[14] *A rational approximation method for solving acoustic nonlinear eigenvalue problem*, M. El-Guide, A. Międlar and Y. Saad, Eng. Anal. Bound. Elem., Vol. 111, pp. 44--54, 2020.

Preprint https://arxiv.org/abs/1906.03938

[13] *An implicit algorithm for computing the minimal Ger\v{s}gorin set*, S. Milićević, V. R. Kostić, Lj Cvetković, and A. Międlar. Filomat 33, no. 13, pp.4229--4238, 2019.

[12] *FEAST Eigensolver for Nonlinear Eigenvalue Problems*, B. Gavin, A. Międlar and E. Polizzi, J. Comp. Sci., Vol. 27, pp. 107--117, 2018.

Preprint https://arxiv.org/pdf/1801.09794.pdf

[11] *Formation Enthalpies for Transition Metal Alloys Using Machine Learning*, S. Ubaru, A. Międlar, Y. Saad and and J. R. Chelikowsky. Phys. Rev. B 95, 214102 - Published 1 June 2017. DOI: 10.1103/PhysRevB.95.214102

[10] *An algorithm for computing minimal Geršgorin sets*, V. R. Kostić, A. Międlar and Lj. Cvetković, Numer. Linear Algebra Appl. **23**(2):272--290, 2016. Preprint

[9] *Robust estimates for hp-adaptive approximations of non-self-adjoint eigenvalue problem*, S. Giani, L. Grubišić, A. Międlar and J. S. Ovall, Numer. Math., Volume 133, Issue 3, pp. 471--495, 2016. Preprint

[8] *Adaptive Numerical Solution of Eigenvalue Problems arising from Finite Element Models. AMLS vs. AFEM*,C. Conrads, V. Mehrmann and A. Międlar. To appear in AMS Contemporary Matematics. Preprint

[7] *On matrix nearness problems: distance to delocalization*, V. Kostić, A. Międlar and J. Stolwijk, SIAM. J. Matrix Anal. & Appl., **36**(2), 435--460, 2015. Preprint

[6] *Model Reduction of Reactive Processes*, M. Lemke, A. Międlar, J. Reiss, V. Mehrmann and J. Sesterhenn, In R. King, ed., Active Flow and Combustion Control 2014, vol. 127 of NNFM, pp. 234--362, Springer International Publishing, 2015.

[5] *An Adaptive Finite Element Method with Asymptotic Saturation for Eigenvalue Problem*, C. Carstensen, J. Gedicke, V. Mehrmann and A. Międlar, Numer. Math., Volume 128, Issue 4, pp. 615-634, 2014.

[4] *Interplay between discretization and algebraic computation in adaptive numerical solution of elliptic PDE problems*, M. Arioli, J. Liesen, A. Międlar and Z. Strakoš, GAMM Mitteilungen, vol. **36**, pp. 102-129, 2013. Preprint

[3] *An adaptive homotopy approach for non-selfadjoint eigenvalue problems*, C. Carstensen, J. Gedicke, V. Mehrmann and A. Międlar, Numer. Math., **119**(3), pp. 557--583, 2011. Preprint

[2] *Adaptive computations of smallest eigenvalues of self-adjoint elliptic partial differential equations*, V. Mehrmann and A. Międlar, Numer. Linear Algebra Appl., **18**, pp. 387--409, 2011. Preprint

[1] *Fast low rank approximations of matrices and tensors*, S. Friedland, V. Mehrmann, A. Międlar and M. Nkengla, Electron. J. Linear Algebra, **22**, pp. 1031--1048, 2011.

### Selected Grants

12/29/2019 - 05/31/2020 |
Research Funding, Lawrence Livermore National Laboratory |

10/01/2018 - 09/30/2021 |
AF: Small: Collaborative Research: Effective Numerical Algorithms and Software for Nonlinear Eigenvalue Problems. Naional Science Foundation (NSF) Award #1812927 |

09/2017 - 08/2011 |
Collaboration Grant for Mathematicians, Simons Foundation |

04/2017 - 04/2019 |
New Faculty General Research Fund (NFGRF), University of Kansas |

06/2014 - 05/2017 |
Einstein Center for Mathematics (ECMath), Berlin Project OT3 |

03/2014 - 11/2014 |
DFG Research Fellowship at EPF Lausanne |