Numerical Methods, Simulations and Visualization for Compressible Flows. - Monika Wierse; Thomas Geßner; Dietmar Kröner (VisMath, 1995)

A posteriori error estimates for upwind finite volume schemes for nonlinear conservation laws in multi dimensions. - Dietmar Kröner; Mario Ohlberger (Math. Comput., 2000)

Convergence of a staggered Lax-Friedrichs scheme for nonlinear conservation laws on unstructured two-dimensional grids. - Bernard Haasdonk; Dietmar Kröner; Christian Rohde (Numerische Mathematik, 2001)

Numerical Solutions to Compressible Flows in a Nozzle with Variable Cross-section. - Dietmar Kröner; Mai Duc Thanh (SIAM J. Numer. Anal., 2005)

Reduced Basis Method for quadratically nonlinear transport equations. - Nadine Jung; Bernard Haasdonk; Dietmar Kröner (Int. J. Comput. Sci. Math., 2009)

A robust numerical method for approximating solutions of a model of two-phase flows and its properties. - Mai Duc Thanh; Dietmar Kröner; Christophe Chalons (Appl. Math. Comput., 2012)

Local discontinuous Galerkin numerical solutions of non-Newtonian incompressible flows modeled by p-Navier-Stokes equations. - Dietmar Kröner; Michael Ruzicka; Ioannis Toulopoulos (J. Comput. Phys., 2014)

Traces for Functions of Bounded Variation on Manifolds with Applications to Conservation Laws on Manifolds with Boundary. - Dietmar Kröner; Thomas Müller 011; Lena Maria Strehlau (SIAM J. Math. Anal., 2015)

Numerical solution of Navier-Stokes-Korteweg systems by Local Discontinuous Galerkin methods in multiple space dimensions. - Dennis Diehl; Jenny Kremser; Dietmar Kröner; Christian Rohde (Appl. Math. Comput., 2016)

Error estimates for higher-order finite volume schemes for convection-diffusion problems. - Dietmar Kröner; Mirko Rokyta (J. Num. Math., 2018)

Discontinuous Galerkin method for incompressible two-phase flows. - Janick Thomas Gerstenberger; Samuel Burbulla; Dietmar Kröner (CoRR, 2020)