Evolution Galerkin methods for hyperbolic systems in two space dimensions. - Mária Lukácová-Medvid'ová; K. W. Morton; Gerald Warnecke (Math. Comput., 2000)

Third order finite volume evolution Galerkin (FVEG) methods for two-dimensional wave equation system. - Mária Lukácová-Medvid'ová; Gerald Warnecke; Y. Zahaykah (J. Num. Math., 2003)

Finite Volume Evolution Galerkin Methods for Hyperbolic Systems. - Mária Lukácová-Medvid'ová; K. W. Morton; Gerald Warnecke (SIAM J. Sci. Comput., 2004)

On the Stability of Evolution Galerkin Schemes Applied to a Two-Dimensional Wave Equation System. - Mária Lukácová-Medvid'ová; Gerald Warnecke; Y. Zahaykah (SIAM J. Numer. Anal., 2006)

Well-balanced finite volume evolution Galerkin methods for the shallow water equations. - Mária Lukácová-Medvid'ová; Sebastian Noelle; Marcus Kraft (J. Comput. Phys., 2007)

Validation of a spatially interconnected model for plane poiseuille flow transition control. - Saulat Shuja Chughtai; Gabriela Rusnáková; Herbert Werner; Mária Lukácová (ECC, 2009)

Finite volume evolution Galerkin method for hyperbolic conservation laws with spatially varying flux functions. - Koottungal Revi Arun; Marcus Kraft; Mária Lukácová-Medvid'ová; Phoolan Prasad (J. Comput. Phys., 2009)

Smoothed Aggregation Multigrid for the Discontinuous Galerkin Method. - F. Prill; Mária Lukácová-Medvid'ová; Ralf Hartmann (SIAM J. Sci. Comput., 2009)

Numerical study of shear-dependent non-Newtonian fluids in compliant vessels. - Anna Hundertmark-Zausková; Mária Lukácová-Medvid'ová (Comput. Math. Appl., 2010)

An Application of 3-D Kinematical Conservation Laws: Propagation of a 3-D Wavefront. - Koottungal Revi Arun; Mária Lukácová-Medvid'ová; Phoolan Prasad; S. V. Raghurama Rao (SIAM J. Appl. Math., 2010)

Large Time Step Finite Volume Evolution Galerkin Methods. - Anna Hundertmark-Zausková; Mária Lukácová-Medvid'ová; F. Prill (J. Sci. Comput., 2011)

A multiscale approach to liquid flows in pipes I: The single pipe. - Andrea Corli; Ingenuin Gasser; Mária Lukácová-Medvid'ová; Arne Roggensack; Ulf Teschke (Appl. Math. Comput., 2012)

Well-balanced bicharacteristic-based scheme for multilayer shallow water flows including wet/dry fronts. - Michael Dudzinski; Mária Lukácová-Medvid'ová (J. Comput. Phys., 2013)

A Characteristics Based Genuinely Multidimensional Discrete Kinetic Scheme for the Euler Equations. - Koottungal Revi Arun; Mária Lukácová-Medvid'ová (J. Sci. Comput., 2013)

Adaptive discontinuous evolution Galerkin method for dry atmospheric flow. - Leonid Yelash; Andreas Müller 010; Mária Lukácová-Medvid'ová; Francis X. Giraldo; Volkmar Wirth (J. Comput. Phys., 2014)

A Weakly Asymptotic Preserving Low Mach Number Scheme for the Euler Equations of Gas Dynamics. - Sebastian Noelle; Georgij Bispen; Koottungal Revi Arun; Mária Lukácová-Medvid'ová; Claus-Dieter Munz (SIAM J. Sci. Comput., 2014)

A study on time discretization and adaptive mesh refinement methods for the simulation of cancer invasion: The urokinase model. - Niklas Kolbe; Jana Kat'uchová; Nikolaos Sfakianakis; Nadja Hellmann; Mária Lukácová-Medvid'ová (Appl. Math. Comput., 2016)

Error analysis of finite element and finite volume methods for some viscoelastic fluids. - Mária Lukácová-Medvid'ová; Hana Mizerová; Bangwei She; Jan Stebel (J. Num. Math., 2016)

Asymptotic preserving IMEX finite volume schemes for low Mach number Euler equations with gravitation. - Georgij Bispen; Mária Lukácová-Medvid'ová; Leonid Yelash (J. Comput. Phys., 2017)

Global Existence Result for the Generalized Peterlin Viscoelastic Model. - Mária Lukácová-Medvid'ová; Hana Mizerová; Sárka Necasová; Michael Renardy (SIAM J. Math. Anal., 2017)

Visualization of Parameter Sensitivity of 2D Time-Dependent Flow. - Karsten Hanser; Ole Klein; Bastian Rieck; Bettina Wiebe; Tobias Selz; Marian Piatkowski; Antoni Sagristà; Boyan Zheng; Mária Lukácová-Medvid'ová; George Craig; Heike Leitte; Filip Sadlo (ISVC, 2018)

Molecular dynamics simulations in hybrid particle-continuum schemes: Pitfalls and caveats. - S. Stalter; Leonid Yelash; N. Emamy; Antonia Statt; Martin Hanke; Mária Lukácová-Medvid'ová; Peter Virnau (Comput. Phys. Commun., 2018)

Convergence of a Mixed Finite Element-Finite Volume Scheme for the Isentropic Navier-Stokes System via Dissipative Measure-Valued Solutions. - Eduard Feireisl; Mária Lukácová-Medvid'ová (Found. Comput. Math., 2018)

Asymptotic Preserving Error Estimates for Numerical Solutions of Compressible Navier-Stokes Equations in the Low Mach Number Regime. - Eduard Feireisl; Mária Lukácová-Medvid'ová; Sárka Necasová; Antonín Novotný; Bangwei She (Multiscale Model. Simul., 2018)

Well-balanced schemes for the shallow water equations with Coriolis forces. - Alina Chertock; Michael Dudzinski; Alexander Kurganov; Mária Lukácová-Medvid'ová (Numerische Mathematik, 2018)

Energy-stable linear schemes for polymer-solvent phase field models. - Paul J. Strasser; Giordano Tierra; Burkhard Dünweg; Mária Lukácová-Medvid'ová (Comput. Math. Appl., 2019)

Computing oscillatory solutions of the Euler system via K-convergence. - Eduard Feireisl; Mária Lukácová; Bangwei She; Yue Wang (CoRR, 2019)

A Hybrid Mass Transport Finite Element Method for Keller-Segel Type Systems. - José A. Carrillo 001; Niklas Kolbe; Mária Lukácová-Medvid'ová (J. Sci. Comput., 2019)

Convergence of Finite Volume Schemes for the Euler Equations via Dissipative Measure-Valued Solutions. - Eduard Feireisl; Mária Lukácová-Medvid'ová; Hana Mizerová (Found. Comput. Math., 2020)

A finite volume scheme for the Euler system inspired by the two velocities approach. - Eduard Feireisl; Mária Lukácová-Medvid'ová; Hana Mizerová (Numerische Mathematik, 2020)

Relative energy estimates for the Cahn-Hilliard equation with concentration dependent mobility. - Aaron Brunk; Herbert Egger; Oliver Habrich; Maria Lukacova-Medvidova (CoRR, 2021)

Convergence of first-order Finite Volume Method based on Exact Riemann Solver for the Complete Compressible Euler Equations. - Mária Lukácová-Medvidová; Yuhuan Yuan (CoRR, 2021)

Existence of dissipative solutions to the compressible Navier-Stokes system with potential temperature transport. - Mária Lukácová-Medvid'ová; Andreas Schömer (CoRR, 2021)

DMV-strong uniqueness principle for the compressible Navier-Stokes system with potential temperature transport. - Mária Lukácová-Medvid'ová; Andreas Schömer (CoRR, 2021)

Error estimates of the Godunov method for the multidimensional compressible Euler system. - Mária Lukácová-Medvidová; Bangwei She; Yuhuan Yuan (CoRR, 2021)

Convergence of a stochastic collocation finite volume method for the compressible Navier-Stokes system. - Eduard Feireisl; Mária Lukácová-Medvid'ová (CoRR, 2021)

Penalization method for the Navier-Stokes-Fourier system. - Danica Basaric; Eduard Feireisl; Mária Lukácová-Medvidová; Hana Mizerová; Yuhuan Yuan (CoRR, 2021)

On a hybrid continuum-kinetic model for complex fluids. - Alina Chertock; Pierre Degond; Giacomo Dimarco; Mária Lukácová-Medvid'ová; A. Ruhi (CoRR, 2022)

Convergence and error analysis of compressible fluid flows with random data: Monte Carlo method. - Eduard Feireisl; Mária Lukácová-Medvidová; Bangwei She; Yuhuan Yuan (CoRR, 2022)

On the convergence of residual distribution schemes for the compressible Euler equations via dissipative weak solutions. - Rémi Abgrall; Mária Lukácová-Medvid'ová; Philipp Öffner (CoRR, 2022)

Convergence and error estimates of a penalization finite volume method for the compressible Navier-Stokes system. - Mária Lukácová-Medvid'ová; Bangwei She; Yuhuan Yuan (CoRR, 2022)

A structure-preserving variational discretization scheme for the Cahn-Hilliard Navier-Stokes system. - Aaron Brunk; Herbert Egger; Oliver Habrich; Maria Lukacova-Medvidova (CoRR, 2022)

Approximating viscosity solutions of the Euler system. - Eduard Feireisl; Mária Lukácová-Medvid'ová; Simon Schneider; Bangwei She (Math. Comput., 2022)

Asymptotic properties of a class of linearly implicit schemes for weakly compressible Euler equations. - Václav Kucera; Mária Lukácová-Medvid'ová; Sebastian Noelle; Jochen Schütz (Numerische Mathematik, 2022)

Data-based stochastic modeling reveals sources of activity bursts in single-cell TGF-β signaling. - Niklas Kolbe; Lorenz Hexemer; Lukas-Malte Bammert; Alexander Loewer; Mária Lukácová-Medvid'ová; Stefan Legewie (PLoS Comput. Biol., 2022)

A Well-Balanced Asymptotic Preserving Scheme for the Two-Dimensional Rotating Shallow Water Equations with Nonflat Bottom Topography. - Alexander Kurganov; Yongle Liu; Mária Lukácová-Medvidová (SIAM J. Sci. Comput., 2022)

Convergence of discontinuous Galerkin schemes for the Euler equations via dissipative weak solutions. - Mária Lukácová-Medvid'ová; Philipp Öffner (Appl. Math. Comput., 2023)

Consistency and convergence of flux-corrected finite element methods for nonlinear hyperbolic problems. - Dmitri Kuzmin; Mária Lukácová-Medvid'ová; Philipp Öffner (CoRR, 2023)

New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties. - Alina Chertock; Michael Herty; Arsen S. Iskhakov; Safa Janajra; Alexander Kurganov; Maria Lukacova-Medvidova (CoRR, 2023)

Local characteristic decomposition based central-upwind scheme. - Alina Chertock; Shaoshuai Chu; Michael Herty; Alexander Kurganov; Mária Lukácová-Medvid'ová (J. Comput. Phys., 2023)

Improved error estimates for the finite volume and the MAC schemes for the compressible Navier-Stokes system. - Eduard Feireisl; Mária Lukácová-Medvid'ová; Bangwei She (Numerische Mathematik, 2023)

Stochastic Galerkin method for cloud simulation. Part II: A fully random Navier-Stokes-cloud model. - Alina Chertock; Alexander Kurganov; Mária Lukácová-Medvid'ová; Peter Spichtinger; Bettina Wiebe (J. Comput. Phys., 2023)

Error estimates of a finite volume method for the compressible Navier-Stokes-Fourier system. - Danica Basaric; Mária Lukácová-Medvidová; Hana Mizerová; Bangwei She; Yuhuan Yuan (Math. Comput., 2023)

An all Mach number finite volume method for isentropic two-phase flow. - Mária Lukácová-Medvid'ová; Gabriella Puppo; Andrea Thomann (J. Num. Math., 2023)

Convergence of a generalized Riemann problem scheme for the Burgers equation. - Maria Lukacova-Medvidova; Yuhuan Yuan (CoRR, 2024)

Convergence of numerical methods for the Navier-Stokes-Fourier system driven by uncertain initial/boundary data. - Eduard Feireisl; Maria Lukacova-Medvidova; Bangwei She; Yuhuan Yuan (CoRR, 2024)

What is a limit of structure-preserving numerical methods for compressible flows? - Maria Lukacova-Medvidova; Bangwei She; Yuhuan Yuan (CoRR, 2024)

Robust a posteriori error control for the Allen-Cahn equation with variable mobility. - Aaron Brunk; Jan Giesselmann; Maria Lukacova-Medvidova (CoRR, 2024)

Monte Carlo method and the random isentropic Euler system. - Eduard Feireisl; Mária Lukácová-Medvid'ová; Hana Mizerová; Changsheng Yu (CoRR, 2024)

Asymptotic preserving finite volume method for the compressible Euler equations: analysis via dissipative measure-valued solutions. - K. R. Arun; Amogh Krishnamurthy; Mária Lukácová-Medvid'ová (CoRR, 2024)

Error analysis for a viscoelastic phase separation model. - Aaron Brunk; Herbert Egger; Oliver Habrich; Maria Lukacova-Medvidova (CoRR, 2024)

Estimatable variation neural networks and their application to ODEs and scalar hyperbolic conservation laws. - Mária Lukácová-Medvidová; Simon Schneider (CoRR, 2024)

Error analysis of the Monte Carlo method for compressible magnetohydrodynamics. - Eduard Feireisl; Maria Lukacova-Medvidova; Bangwei She; Yuhuan Yuan (CoRR, 2024)

Convergence of a Hyperbolic Thermodynamically Compatible Finite Volume scheme for the Euler equations. - Michael Dumbser; Mária Lukácová-Medvid'ová; Andrea Thomann (CoRR, 2024)

An implicit-explicit solver for a two-fluid single-temperature model. - Mária Lukácová-Medvid'ová; Ilya Peshkov; Andrea Thomann (J. Comput. Phys., 2024)

Active Flux Methods for Hyperbolic Systems Using the Method of Bicharacteristics. - Erik Chudzik; Christiane Helzel; Mária Lukácová-Medvid'ová (J. Sci. Comput., 2024)

A Posteriori Error Control for the Allen-Cahn Equation with Variable Mobility. - Aaron Brunk; Jan Giesselmann; Mária Lukácová-Medvidová (SIAM J. Numer. Anal., 2025)

Convergence Analysis of the Monte Carlo Method for the Random Navier-Stokes-Fourier System. - Mária Lukácová-Medvidová; Bangwei She; Yuhuan Yuan (SIAM J. Numer. Anal., 2025)

Solving Random Hyperbolic Conservation Laws Using Linear Programming. - Shaoshuai Chu; Michael Herty; Mária Lukácová-Medvid'ová; Yizhou Zhou (CoRR, 2025)

An asymptotic preserving scheme satisfying entropy stability for the barotropic Euler system. - Megala Anandan; Mária Lukácová-Medvid'ová; S. V. Raghurama Rao (CoRR, 2025)

A structure-preserving numerical method for quasi-incompressible Navier-Stokes-Maxwell-Stefan systems. - Aaron Brunk; Ansgar Jüngel; Mária Lukácová-Medvid'ová (CoRR, 2025)

Structure-preserving approximation of the non-isothermal Cahn-Hilliard system. - Aaron Brunk; Maria Lukacova-Medvidova; Dennis Schumann (CoRR, 2025)

Penalty method for the Navier-Stokes-Fourier system with Dirichlet boundary conditions: convergence and error estimates. - Mária Lukácová-Medvid'ová; Bangwei She; Yuhuan Yuan (Numerische Mathematik, 2025)