2 papers
math.NA2025
Explicit invariant-preserving integration of differential equations using homogeneous projection
Benjamin Kwanen Tapley
We develop a general framework for numerically solving differential equations while preserving invariants. As in standard projection methods, we project an arbitrary base integrato…
eess.SY2025
Learning mechanical systems from real-world data using discrete forced Lagrangian dynamics
Martine Dyring Hansen, Elena Celledoni, Benjamin Kwanen Tapley
We introduce a data-driven method for learning the equations of motion of mechanical systems directly from position measurements, without requiring access to velocity data. This is…