Structure-Preserving Discretization

5 publications · all research

• 2025 Diffusive transport on the real line: semi-contractive gradient flows and their discretization
  Daniel Matthes, Eva-Maria Rott and André Schlichting
  Nonlinearity 38(11), 115005 (2025)
• 2025 A structure preserving discretization for the Derrida-Lebowitz-Speer-Spohn equation based on diffusive transport
  Daniel Matthes, Eva-Maria Rott, Giuseppe Savaré and André Schlichting
  Numer. Math. 157(4), 1347–1395 (2025)
• 2024 Variational convergence of the Scharfetter–Gummel scheme to the aggregation-diffusion equation and vanishing diffusion limit
  Anastasiia Hraivoronska, André Schlichting and Oliver Tse
  Num. Math. 156(6), 2221–2292 (2024)
• 2024 Diffusive transport: geodesics, convexity, and gradient flows with their structure preserving discretizations
  Daniel Matthes, Eva-Maria Rott, Giuseppe Savaré and André Schlichting
  Oberwolfach Reports: Applications of Optimal Transportation 21(1), 309-388 (2024), Oberwolfach Report 7/2024
• 2022 The Scharfetter-Gummel scheme for aggregation-diffusion equations
  André Schlichting and Christian Seis
  IMA J. Numer. Anal. 42(3), 2361–2402 (2022)