75 citations · 453 across the 27 of their papers we have counts for
Showing 2015 · math.NAShow all
3 papers · 2 filters
math.NA2015
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…
math.NA2015★ 41 cited
High-order compact schemes for parabolic problems with mixed derivatives in multiple space dimensions
Bertram Düring, Christof Heuer
We present a high-order compact finite difference approach for a class of parabolic partial differential equations with time and space dependent coefficients as well as with mixed…
math.NA2015★ 17 cited
High-order ADI schemes for convection-diffusion equations with mixed derivative terms
Bertram Düring, Michel Fournié, Alain Rigal
We present new high-order Alternating Direction Implicit (ADI) schemes for the numerical solution of initial-boundary value problems for convection-diffusion equations with mixed d…