2 papers
cs.LG2026
MeGA-MP: Metric Graph Advection Message Passing -- A Physics-Informed Message Passing Operator for Advection-Dominated Metric Graphs
Janine Strotherm, Luca Hermes, André Artelt +1
Many real-world systems are organized as networks where spatio-temporal dynamics unfold along connections and not discretely between nodes. Examples include utility networks such a…
math.OC2026
Existence and Uniqueness of Physically Correct Hydraulic States in Water Distribution Systems -- A theoretical analysis on the solvability of non-linear systems of equations in the context of water distribution systems
Janine Strotherm, Julian Rolfes, Barbara Hammer
Planning and extension of water distribution systems (WDSs) plays a key role in the development of smart cities, driven by challenges such as urbanization and climate change. In th…