56 citations · 359 across the 75 of their papers we have counts for
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Perfectly Matched Layers versus discrete transparent boundary conditions in quantum device simulations
Jan-Frederik Mennemann, Ansgar Jüngel
Discrete transparent boundary conditions (DTBC) and the Perfectly Matched Layers (PML) method for the realization of open boundary conditions in quantum device simulations are comp…
Entropy dissipative one-leg multistep time approximations of nonlinear diffusive equations
Ansgar Jüngel, Josipa-Pina Milišić
New one-leg multistep time discretizations of nonlinear evolution equations are investigated. The main features of the scheme are the preservation of the nonnegativity and the entr…
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…