On the development of symmetry-preserving finite element schemes for ordinary differential equations. - Alex Bihlo; James Jackaman; Francis Valiquette (CoRR, 2019)

Invariant Variational Schemes for Ordinary Differential Equations. - Alex Bihlo; James Jackaman; Francis Valiquette (CoRR, 2021)

Discrete conservation laws for finite element discretisations of multisymplectic PDEs. - Elena Celledoni; James Jackaman (J. Comput. Phys., 2021)

Preconditioned Krylov solvers for structure-preserving discretisations. - James Jackaman; Scott P. MacLachlan (CoRR, 2022)

Space-time waveform relaxation multigrid for Navier-Stokes. - James Jackaman; Scott P. MacLachlan (CoRR, 2024)

Constraint-Satisfying Krylov Solvers for Structure-Preserving Discretizations. - James Jackaman; Scott P. MacLachlan (SIAM J. Matrix Anal. Appl., 2024)

Predictions based on pixel data: Insights from PDEs and finite differences. - Elena Celledoni; James Jackaman; Davide Murari; Brynjulf Owren (J. Comput. Phys., 2025)

Improving regional weather forecasts with neural interpolation. - James Jackaman; Oliver Sutton (CoRR, 2025)