56 citations · 359 across the 75 of their papers we have counts for
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A higher-order gradient flow scheme for a singular one-dimensional diffusion equation
Bertram Düring, Philipp Fuchs, Ansgar Jüngel
A nonlinear diffusion equation, interpreted as a Wasserstein gradient flow, is numerically solved in one space dimension using a higher-order minimizing movement scheme based on th…
Entropy-dissipating semi-discrete Runge-Kutta schemes for nonlinear diffusion equations
Ansgar Jüngel, Stefan Schuchnigg
Semi-discrete Runge-Kutta schemes for nonlinear diffusion equations of parabolic type are analyzed. Conditions are determined under which the schemes dissipate the discrete entropy…
A Finite-Volume Scheme for a Spinorial Matrix Drift-Diffusion Model for Semiconductors
Claire Chainais-Hillairet, Ansgar Jüngel, Polina Shpartko
An implicit Euler finite-volume scheme for a spinorial matrix drift-diffusion model for semiconductors is analyzed. The model consists of strongly coupled parabolic equations for t…