• Discrete conservation laws for finite element discretisation of multisymplectic PDEs 

      Celledoni, Elena; Jackaman, James (Peer reviewed; Journal article, 2021)
      In this work we propose a new, arbitrary order space-time finite element discretisation for Hamiltonian PDEs in multisymplectic formulation. We show that the new method which is obtained by using both continuous and ...
    • Invariant variational schemes for ordinary differential equations 

      Bihlo, Alex; Jackaman, James; Valiquette, Francis (Journal article, 2021)
      We propose a novel algorithmic method for constructing invariant variational schemes of systems of ordinary differential equations that are the Euler–Lagrange equations of a variational principle. The method is based on ...