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math.DS2026
Numerical approximation of the Koopman-von Neumann equation: Operator learning and quantum computing
Stefan Klus, Feliks Nüske, Patrick Gelß
The Koopman-von Neumann equation describes the evolution of wavefunctions associated with autonomous ordinary differential equations and can be regarded as a quantum physics-inspir…
math.DS2024★ 1 cited
Learning dynamical systems from data: Gradient-based dictionary optimization
Mohammad Tabish, Neil K. Chada, Stefan Klus
The Koopman operator plays a crucial role in analyzing the global behavior of dynamical systems. Existing data-driven methods for approximating the Koopman operator or discovering…