4 citations · 4 across the 2 of their papers we have counts for
3 papers
math.AP2017
A discrete Bakry-Emery method and its application to the porous-medium equation
Ansgar Jüngel, Stefan Schuchnigg
The exponential decay of the relative entropy associated to a fully discrete porous-medium equation in one space dimension is shown by means of a discrete Bakry-Emery approach. The…
math.NA2015
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…
math.NA2013★ 4 cited
Entropy-dissipative discretization of nonlinear diffusion equations and discrete Beckner inequalities
Claire Chainais-Hillairet, Ansgar Jüngel, Stefan Schuchnigg
The time decay of fully discrete finite-volume approximations of porous-medium and fast-diffusion equations with Neumann or periodic boundary conditions is proved in the entropy se…