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Michal OutrataView profile

Assistant Professor

• Numerical Linear Algebra
• Krylov Methods
• Domain Decomposition Methods
• +5 more

Michal Outrata is an Assistant Professor in the Department of Numerical Mathematics at Charles University's Faculty of Mathematics and Physics in Prague, Czech Republic. He began his position in fall 2024 after completing a postdoctoral fellowship at Virginia Tech with Prof. Eric de Sturler and earning his PhD under Prof. Martin Gander at the University of Geneva, where his thesis was awarded the Henri Fehr Prize in 2023. His academic journey started with undergraduate studies in Prague under Prof. Zdeněk Strakoš (bachelor) and Prof. Miroslav Tůma (master). Dr. Outrata's research focuses on understanding why certain numerical methods work for specific problem classes, with emphasis on numerical linear algebra , Krylov subspace methods , and domain decomposition techniques . His work bridges theoretical analysis with practical algorithm development, particularly in preconditioning strategies for iterative solvers. Current projects include the Primus Research Programme (2025-2028) titled 'Divide, Conquer and Optimize: Domain Decomposition Methods in Scientific Computing' which explores hierarchical matrix formats and mixed precision computations for optimizing domain decomposition methods. His publication record demonstrates consistent contributions to top journals including SIAM Journal on Scientific Computing and Linear Algebra with Applications. His research shows progression from foundational work on GMRES convergence to sophisticated analyses of block Runge-Kutta preconditioners and optimized Schwarz methods with data-sparse transmission conditions. His recent work increasingly integrates hierarchical matrix formats and explores mixed precision computing approaches. Swiss Government Excellence Scholarship (3-year award) Henri Fehr Prize for best PhD thesis in mathematics (2023) Primus Research Programme grant (2025-2028) Dr. Outrata actively mentors students and postdocs, currently supervising Marouan Handa and Lenka Ptáčková (PostDocs) along with undergraduate researchers. He teaches courses including Numerical Analysis and Introduction to Numerical Mathematics at Charles University. His collaborative network spans international institutions including University of Geneva, Virginia Tech, and various European research centers. He is also involved in organizing major conferences including DD29 and GAMM95.

• Numerical methods for partial differential equations
• Discontinuous Galerkin method
• Mesh adaptation
• +5 more

Vit Dolejsi is a Professor at the Department of Numerical Mathematics , Faculty of Mathematics and Physics , Charles University in Prague . He holds a PhD in Mathematical Modeling and Mechanics from Charles University and Universite Mediterranee. His research focuses on Numerical methods for partial differential equations with applications in Fluid dynamics , particularly using Discontinuous Galerkin methods and Anisotropic mesh adaptation . Phone: [+420] 95155 3373 Email: vit.dolejsi@matfyz.cuni.cz Office: Sokolovska 83, 186 75 Praha 8 - Karlin, Czech Republic Research Interests : Numerical methods for nonlinear PDEs High-order adaptive DG schemes Error estimation and adaptivity Compressible and incompressible flow simulations Applications in porous media and atmospheric modeling Algebraic and discretization error control Publications & Contributions : Authored monographs on Anisotropic hp-Mesh Adaptation (2022) and Discontinuous Galerkin Method (2015) Published 15+ journal papers (2015-2025) on DG methods, mesh adaptation, and error analysis Developed freely available CFD software implementations Contributed to hp-adaptive algorithms and space-time DG for nonlinear problems

• Numerical Analysis
• Matrix Computations
• Krylov Subspace Methods
• +3 more

Petr Tichý is an Associate Professor at the Department of Numerical Mathematics, Faculty of Mathematics and Physics, Charles University. He specializes in numerical analysis, matrix computations, and Krylov subspace methods. His work focuses on error estimation in iterative methods and the convergence properties of algorithms like the conjugate gradient method. Education: Ph.D. in Scientific Computations, Charles University (2002) M.S. in Computational Mathematics, Charles University (1997) Research Interests: His research emphasizes numerical linear algebra, including matrix approximations, CG algorithm stability, and the development of efficient error estimation techniques. He has contributed to the analysis of block conjugate gradient methods, Gauss-Radau error bounds, and the theoretical foundations of Krylov subspace methods. Publications: Tichý has authored over 30 peer-reviewed articles and a book on error norm estimation in conjugate gradient algorithms. His recent work includes studies on matrix best approximation and the behavior of error estimates in iterative solvers. Awards: Dean's Award for Best Book (2024) Jaroslav Jirsa Prize (2013) Otto Wichterle Prize (2007) Ivo Babuška Prize (2002) Grants & Collaborations: He has led projects funded by GACR and participated in EU initiatives. Collaborators include Gerard Meurant, Vance Faber, and Jörg Liesen.