• Learning Hamiltonians of constrained mechanical systems 

      Celledoni, Elena; Leone, Andrea; Murari, Davide; Owren, Brynjulf (Peer reviewed; Journal article, 2022)
      Recently, there has been an increasing interest in modelling and computation of physical systems with neural networks. Hamiltonian systems are an elegant and compact formalism in classical mechanics, where the dynamics is ...
    • Order conditions for stochastic Runge–Kutta methods preserving quadratic invariants of Stratonovich SDEs 

      Anmarkrud, Sverre; Kværnø, Anne (Journal article; Peer reviewed, 2017)
      In this paper we prove that for a stochastic Runge–Kutta method, the conditions for preserving quadratic invariants work as simplifying assumptions. For such methods, the method coefficients only have to satisfy one condition ...