• Krylov projection methods for linear Hamiltonian systems 

      Li, Lu; Celledoni, Elena (Journal article; Peer reviewed, 2019)
      We study geometric properties of Krylov projection methods for large and sparse linear Hamiltonian systems. We consider in particular energy-preservation. We discuss the connection to structure preserving model reduction. ...
    • A novel approach to rigid spheroid models in viscous flows using operator splitting methods 

      Tapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge Ingolf (Peer reviewed; Journal article, 2019)
      Calculating cost-effective solutions to particle dynamics in viscous flows is an important problem in many areas of industry and nature. We implement a second-order symmetric splitting method on the governing equations for ...
    • Variable step size commutator free Lie group integrators 

      Curry, Charles Henry Alexander; Owren, Brynjulf (Journal article; Peer reviewed, 2019)
      We introduce variable step size commutator free Lie group integrators, where the error control is achieved using embedded Runge–Kutta pairs. These are schemes for the integration of initial value problems posed on homogeneous ...