Address

RWTH Aachen University
Institut für Geometrie und Praktische Mathematik 114620
Templergraben 55, room 126
52062 Aachen

Phone

+49 241 80 93069

Email

kolbe AT igpm DOT rwth-aachen DOT de

Web

nklb.gitlab.io/

Research Area

Numerical methods, scientific computing, partial differential equations, mathematical modeling, cancer biology, stochastic models

Publications

• Central schemes for networked scalar conservation laws
  M. Herty, N. Kolbe, and S. Müller
  Netw. Heterog. Media 18 (2023), no.1, 310–340
  doi: 10.3934/nhm.2023012
  Preprint arXiv:2209.05137

• Numerical relaxation limit and outgoing edges in a central scheme for networked conservation laws
  N. Kolbe
  doi: 10.1002/pamm.202200150
  Preprint arXiv:2210.03573

• Data-Driven Models for Traffic Flow at Junctions
  M. Herty and N. Kolbe
  Preprint arXiv:2212.08912
  accepted for Journal Mathematical Methods in the Applied Sciences

• A central scheme for two coupled hyperbolic systems
  M. Herty, N. Kolbe, and S. Müller
  doi: 10.1007/s42967-023-00306-5
  Preprint arXiv:2304.13946

• A data-driven microscopic on-ramp model based on macroscopic network flows
  N. Kolbe, M. Berghaus, E. Kalló, M. Herty, and M. Oeser
  Preprint arXiv:2308.01093

• A posteriori error analysis of a positivity preserving scheme for the power-law diffusion Keller-Segel model
  J. Giesselmann and N. Kolbe
  Preprint arXiv:2309.07329

• Numerical schemes for coupled systems of nonconservative hyperbolic equations
  N. Kolbe, M. Herty, and S. Müller
  Preprint arXiv:2311.03581

• A relaxation approach to the coupling of a two-phase fluid with a linear-elastic solid
  N. Kolbe and S. Müller
  Preprint arXiv:2409.05473