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math.NA2026
Whitney--Lagrange Decomposition for the First Family of Finite Element Differential Forms
Long Chen, Xuehai Huang
We derive polynomial bubble duality in barycentric coordinates and construct explicit nodal bases for the first family of finite element differential forms. Logarithmic coordinates…
cs.LO2026
Buffered control for opacity in timed automata
Étienne André, Sarah Dépernet, Engel Lefaucheux
Timed automata are an extension of finite automata that can measure and react to the passage of time, handling real-time constraints by using clocks. The timed opacity problem, whe…