Error analysis of the Monte Carlo method for compressible magnetohydrodynamics

Authors: Feireisl, Eduard, Lukacova-Medvidova, Maria, She, Bangwei, Yuan, Yuhuan

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2410.17663

Estimatable variation neural networks and their application to ODEs and scalar hyperbolic conservation laws

Authors: Lukáčová-Medviďová, Mária, Schneider, Simon

Subject Terms: Mathematics - Numerical Analysis, 65M99 (Primary), 35L65, 35L60, (Secondary)

Access URL: http://arxiv.org/abs/2409.08909

Conditional regularity for the compressible Navier-Stokes equations with potential temperature transport

Authors: Lukáčová-Medviďová, Mária, Schömer, Andreas

Subject Terms: Mathematics - Analysis of PDEs

Access URL: http://arxiv.org/abs/2407.14849

Error analysis for a viscoelastic phase separation model

Authors: Brunk, Aaron, Egger, Herbert, Habrich, Oliver, Lukacova-Medvidova, Maria

Subject Terms: Mathematics - Numerical Analysis, Mathematics - Analysis of PDEs, 35K52, 35K55, 65M12, 65M60, 82C26

Access URL: http://arxiv.org/abs/2407.01803

Robust a posteriori error control for the Allen-Cahn equation with variable mobility

Authors: Brunk, Aaron, Giesselmann, Jan, Lukacova-Medvidova, Maria

Subject Terms: Mathematics - Numerical Analysis, Mathematics - Analysis of PDEs

Access URL: http://arxiv.org/abs/2403.08898

What is a limit of structure-preserving numerical methods for compressible flows?

Authors: Lukacova-Medvidova, Maria, She, Bangwei, Yuan, Yuhuan

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2401.16763

Convergence of numerical methods for the Navier-Stokes-Fourier system driven by uncertain initial/boundary data

Authors: Feireisl, Eduard, Lukacova-Medvidova, Maria, She, Bangwei, Yuan, Yuhuan

Subject Terms: Mathematics - Numerical Analysis, 35D35, 35Q79, 35Q30, 65C05, 65C20, 65M22

Access URL: http://arxiv.org/abs/2401.05674

Convergence of a generalized Riemann problem scheme for the Burgers equation

Authors: Lukacova-Medvidova, Maria, Yuan, Yuhuan

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2401.03714

New High-Order Numerical Methods for Hyperbolic Systems of Nonlinear PDEs with Uncertainties

Authors: Chertock, Alina, Herty, Michael, Iskhakov, Arsen S., Janajra, Safa, Kurganov, Alexander, Lukacova-Medvidova, Maria

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2312.08280

Penalty method for the Navier-Stokes-Fourier system with Dirichlet boundary conditions: convergence and error estimates

Authors: Lukacova-Medvidova, Maria, She, Bangwei, Yuan, Yuhuan

Subject Terms: Mathematics - Numerical Analysis, 65M08, 65M15, 76N06

Access URL: http://arxiv.org/abs/2308.03497

Fundamentals of the Oldroyd-B model revisited: Tensorial vs. vectorial theory

Authors: Brunk, Aaron, Chaudhuri, Joydip, Lukacova-Medvidova, Maria, Duenweg, Burkhard

Subject Terms: Condensed Matter - Soft Condensed Matter, Condensed Matter - Statistical Mechanics

Access URL: http://arxiv.org/abs/2308.01326

Statistical solutions for the Navier-Stokes-Fourier system

Authors: Feireisl, Eduard, Lukacova-Medvidova, Maria

Subject Terms: Mathematics - Analysis of PDEs

Access URL: http://arxiv.org/abs/2212.06784

Error estimates of a finite volume method for the compressible Navier--Stokes--Fourier system

Authors: Basaric, Danica, Lukacova-Medvidova, Maria, Mizerova, Hana, She, Bangwei, Yuan, Yuhuan

Subject Terms: Mathematics - Numerical Analysis, 65M08, 65M15, 76N06

Access URL: http://arxiv.org/abs/2210.15561

A second-order fully-balanced structure-preserving variational discretization scheme for the Cahn-Hilliard Navier-Stokes system

Authors: Brunk, Aaron, Egger, Herbert, Habrich, Oliver, Lukacova-Medvidova, Maria

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2209.03849

Local Characteristic Decomposition Based Central-Upwind Scheme

Authors: Chertock, Alina, Chu, Shaoshuai, Herty, Michael, Kurganov, Alexander, Lukacova-Medvidova, Maria

Subject Terms: Mathematics - Numerical Analysis, Mathematical Physics

Access URL: http://arxiv.org/abs/2206.08803

Improved error estimates for the finite volume and the MAC schemes for the compressible Navier-Stokes system

Authors: Feireisl, Eduard, Lukáčová-Medviďová, Mária, She, Bangwei

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2205.04076

Convergence of Discontinuous Galerkin Schemes for the Euler Equations via Dissipative Weak Solutions

Authors: Lukácová-Medvidová, Mária, Öffner, Philipp

Subject Terms: Mathematics - Numerical Analysis, 65M12, 65M60, 65M70

Access URL: http://arxiv.org/abs/2202.10043

Penalization method for the Navier-Stokes-Fourier system

Authors: Basarić, Danica, Feireisl, Eduard, Lukáčová-Medviďová, Mária, Mizerová, Hana, Yuan, Yuhuan

Subject Terms: Mathematics - Analysis of PDEs, Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2112.10549

Error estimates of the Godunov method for the multidimensional compressible Euler system

Authors: Lukáčová-Medviďová, Mária, She, Bangwei, Yuan, Yuhuan

Subject Terms: Mathematics - Numerical Analysis

Access URL: http://arxiv.org/abs/2111.05009

Data-based stochastic modeling reveals sources of activity bursts in single-cell TGF-$\beta$ signaling

Authors: Kolbe, Niklas, Hexemer, Lorenz, Bammert, Lukas-Malte, Loewer, Alexander, Lukáčová-Medviďová, Mária, Legewie, Stefan

Subject Terms: Quantitative Biology - Molecular Networks, Quantitative Biology - Quantitative Methods, 92C37 (Primary) 92-08, 92C42 (Secondary)

Access URL: http://arxiv.org/abs/2107.11770