Derivation of New Quantum Hydrodynamic Equations Using Entropy Minimization. - Ansgar Jüngel; Daniel Matthes; Josipa Pina Milisic (SIAM J. Appl. Math., 2006)

The Derrida-Lebowitz-Speer-Spohn Equation: Existence, NonUniqueness, and Decay Rates of the Solutions. - Ansgar Jüngel; Daniel Matthes (SIAM J. Math. Anal., 2008)

Asymptotic Behavior of Gradient Flows Driven by Nonlocal Power Repulsion and Attraction Potentials in One Dimension. - Marco Di Francesco; Massimo Fornasier; Jan-Christian Hütter; Daniel Matthes (SIAM J. Math. Anal., 2014)

A Convergent Lagrangian Discretization for a Nonlinear Fourth-Order Equation. - Daniel Matthes; Horst Osberger (Found. Comput. Math., 2017)

A Fully Discrete Variational Scheme for Solving Nonlinear Fokker-Planck Equations in Multiple Space Dimensions. - Oliver Junge; Daniel Matthes; Horst Osberger (SIAM J. Numer. Anal., 2017)

A Lagrangian Scheme for the Solution of Nonlinear Diffusion Equations Using Moving Simplex Meshes. - José A. Carrillo 001; Bertram Düring; Daniel Matthes; David S. McCormick (J. Sci. Comput., 2018)

Lagrangian schemes for Wasserstein gradient flows. - José A. Carrillo 001; Daniel Matthes; Marie-Therese Wolfram (CoRR, 2020)

Discretization of flux-limited gradient flows: Γ-convergence and numerical schemes. - Daniel Matthes; Benjamin Söllner (Math. Comput., 2020)

Barycenters for the Hellinger-Kantorovich Distance Over ℝd. - Gero Friesecke; Daniel Matthes; Bernhard Schmitzer (SIAM J. Math. Anal., 2021)

The Waiting Time Phenomenon in Spatially Discretized Porous Medium and Thin Film Equations. - Julian Fischer; Daniel Matthes (SIAM J. Numer. Anal., 2021)

Entropic transfer operators. - Oliver Junge; Daniel Matthes; Bernhard Schmitzer (CoRR, 2022)

A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport. - Daniel Matthes; Eva-Maria Rott; Giuseppe Savaré; André Schlichting (CoRR, 2023)

Solution of the Björling problem by discrete approximation. - Ulrike Bücking; Daniel Matthes (CoRR, 2024)

Using deep neural networks to detect non-analytically defined expert event labels in canoe sprint force sensor signals. - Sarah Rockstrok; Patrick Frenzel; Daniel Matthes; Kay Schubert; David Wollburg; Mirco Fuchs (CoRR, 2024)

Diffusive transport on the real line: semi-contractive gradient flows and their discretization. - Daniel Matthes; Eva-Maria Rott; André Schlichting (CoRR, 2025)

The spatially discrete to continuous limit in the nonlocal quantum diffusion equation. - Daniel Matthes; Eva-Maria Rott (CoRR, 2025)