Numerical Analysis

10 publications · all research

• 2026 A well-defined local continuum damage model with softening via convexification and entropic regularization
  Celine Lauff, André Schlichting, Thomas Böhlke and Matti Schneider
• 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)
• 2025 Piezo1-induced durotaxis of pancreatic stellate cells depends on TRPC1 and TRPV4 channels
  Ilka Budde, André Schlichting, David Ing, Sandra Schimmelpfennig, Anna Kuntze, Benedikt Fels, Joelle M.-J. Romac, Sandip M. Swain, Rodger A. Liddle, Angela Stevens, Albrecht Schwab and Zoltán Pethő
  J. Cell Sci. 138(8), jcs263846 (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)
• 2023 Error estimates for a finite volume scheme for advection-diffusion equations with rough coefficients
  Víctor Navarro-Fernández and André Schlichting
  ESAIM Math. Model. Numer. Anal. 57(4), 2131–2158 (2023)
• 2022 The Scharfetter-Gummel scheme for aggregation-diffusion equations
  André Schlichting and Christian Seis
  IMA J. Numer. Anal. 42(3), 2361–2402 (2022)
• 2021 Nonlocal equations on discrete spaces inspired by numerical schemes
  Antonio Esposito, Francesco S. Patacchini, André Schlichting, Dejan Slepčev and Christian Seis
  Oberwolfach Reports: Variational Methods for Evolution (hybrid meeting) 17(2), 1391-1467 (2021), Oberwolfach Report 29/2020
• 2018 Analysis of the implicit upwind finite volume scheme with rough coefficients
  André Schlichting and Christian Seis
  Numer. Math. 139(1), 155–186 (2018)
• 2017 Convergence rates for upwind schemes with rough coefficients
  André Schlichting and Christian Seis
  SIAM J. Numer. Anal. 55(2), 812–840 (2017)
• 2008 Solvability, approximation and estimates for a class of singular phase field models
  André Schlichting
  University of Mining and Technology Freiberg and University of Pavia, Diploma thesis, 2008