Analysis, modeling and computational mathematics












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            * Analysis, modeling and computational mathematics
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            Mathematical and functional analysis, mathematical modeling and computational mathematics 

            the fields represented in the world by seminal contributions of outstanding Czech mathemat
            Bolzano, Kurzweil, Nečas, Pták, Fiedler and Babuška. These related classical disciplines a
            complemented by the development of scientific computing and non-equilibrium thermodynamics

            topics include analysis of function spaces used in the theory of partial differential equa
            of admissible and minimizing deformations in nonlinear elasticity, thermodynamical and mat
            (partial differential equations) analysis of mechanical, thermal, electromagnetic and chem

            in complex fluids and solids and their interactions, large scale iterative computations, s
            algebraic solvers, numerical stability, a posteriori error analysis and adaptivity in nume

            partial differential equations. Research activities of the junior researchers are also lin
            of their peers in planetary physics and astrophysics within the University Centre (UNCE) f
            modeling, applied analysis and computational mathematics, financed for the period 2018-202





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            * Selected outputs
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            • Beck, Lisa; Bulíček, Miroslav; Málek, Josef; Süli, Endre: On the existence of integrable
              nonlinear elliptic systems and variational problems with linear growth [ URL "https://li
              article/10.1007%2Fs00205-017-1113-4"] . Arch. Ration. Mech. Anal. 225 (2017), no. 2, 717

            • Breit, Dominic; Schwarzacher, Sebastian: Compressible fluids interacting with a linear-e
              [ URL "https://link.springer.com/article/10.1007%2Fs00205-017-1199-8"] Arch. Ration. Mec
              (2018), no. 2, 495–562.

            • Campbell, Daniel; Hencl, Stanislav; Tengvall, Ville: Approximation of W^1,p Sobolev home
              diffeomorphisms and the signs of the Jacobian [ URL "https://www.sciencedirect.com/scien
              S0001870818301579?via%3Dihub"] . Adv. Math. 331 (2018), 748–829.

            • Carson, Erin C.; Rozložník, Miroslav; Strakoš, Zdeněk; Tichý, Petr; Tůma, Miroslav: The 
              stability analysis of pipelined conjugate gradient methods: historical context and metho
              "https://epubs.siam.org/doi/10.1137/16M1103361"] SIAM J. Sci. Comput. 40 (2018), no. 5, 

            • Gergelits, Tomáš; Mardal Kent-André; Nielsen, Bjoern Fredrik; Strakoš, Zdeněk: Laplacian
              of elliptic PDEs: localization of the eigenvalues of the discretized operator. [ URL "ht
              abs/1809.03790"] SIAM J. Numerical Analysis (to appear).

            • Hencl, Stanislav; Pratelli, Aldo: Diffeomorphic approximation of W^1,1 planar Sobolev ho
              [ URL "https://www.ems-ph.org/journals/show_abstract.php?issn=1435-9855&vol=20&iss=3&ran
              Math. Soc. (JEMS) 20 (2018), no. 3, 597–656.

            • Janečka, Adam; Málek, Josef; Průša, Vít; Tierra, Giordano: Numerical scheme for simulati
              transient flows of non-Newtonian fluids characterised by a non-monotone relation between
              part of the velocity gradient and the Cauchy stress tensor. [ URL "https://link.springer

              article/10.1007%2Fs00707-019-2372-y"] Acta Mech. 230 (2019), no. 3, 729–747..
            • Liu, Zhuomin; Malý, Jan; Pakzad, Mohammad Reza: Approximation by mappings with singular 
              [ URL "https://www.sciencedirect.com/science/article/pii/S0362546X18301664?via%3Dihub"] 

              176 (2018), 209–225.
            • Málek, Josef, Průša, Vít, Skřivan, Tomáš, Süli, Endré: Thermodynamics of viscoelastic ra
              with stress diffusion [ URL "https://aip.scitation.org/doi/10.1063/1.5018172"] , Physics

              (2018) 023101.
            • Papež, Jan; Strakoš, Zdeněk; Vohralík, Martin: Estimating and localizing the algebraic
              and total numerical errors using flux reconstructions. [ URL "https://link.springer.com/

              article/10.1007%2Fs00211-017-0915-5"] Numer. Math. 138 (2018), no. 3, 681–721.
            • Pavelka, Michal; Klika, Václav; Grmela, Miroslav: Multiscale Thermo-Dynamics. Introducti
              [ URL "https://www.degruyter.com/view/product/254928"] Berlin: De Gruyter, 2018.