Derivation of Efficient, Continuous, Explicit Runge-Kutta Methods. - Brynjulf Owren; Marino Zennaro (SIAM J. Sci. Comput., 1992)

Stiffness Detection and Estimation of Dominant Spectrum with Explicit Runge-Kutta Methods. - Kersti Ekeland; Brynjulf Owren; Eivor Øines (ACM Trans. Math. Softw., 1998)

Construction of Runge-Kutta methods of Crouch-Grossman type of high order. - Zdzislaw Jackiewicz; Arne Marthinsen; Brynjulf Owren (Adv. Comput. Math., 2000)

Integration methods based on canonical coordinates of the second kind. - Brynjulf Owren; Arne Marthinsen (Numerische Mathematik, 2001)

A Class of Intrinsic Schemes for Orthogonal Integration. - Elena Celledoni; Brynjulf Owren (SIAM J. Numer. Anal., 2002)

Commutator-free Lie group methods. - Elena Celledoni; Arne Marthinsen; Brynjulf Owren (Future Gener. Comput. Syst., 2003)

On the Implementation of Lie Group Methods on the Stiefel Manifold. - Elena Celledoni; Brynjulf Owren (Numer. Algorithms, 2003)

B-series and Order Conditions for Exponential Integrators. - Håvard Berland; Brynjulf Owren; Bård Skaflestad (SIAM J. Numer. Anal., 2005)

Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation. - Elena Celledoni; David Cohen; Brynjulf Owren (Found. Comput. Math., 2008)

Multi-symplectic integration of the Camassa-Holm equation. - David Cohen; Brynjulf Owren; Xavier Raynaud (J. Comput. Phys., 2008)

Energy-Preserving Integrators and the Structure of B-series. - Elena Celledoni; Robert I. McLachlan; Brynjulf Owren; G. R. W. Quispel (Found. Comput. Math., 2010)

Topics in structure-preserving discretization. - Snorre H. Christiansen; Hans Z. Munthe-Kaas; Brynjulf Owren (Acta Numer., 2011)

A General Framework for Deriving Integral Preserving Numerical Methods for PDEs. - Morten Dahlby; Brynjulf Owren (SIAM J. Sci. Comput., 2011)

Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method. - Elena Celledoni; Volker Grimm; Robert I. McLachlan; David I. McLaren; Dion R. J. O'Neale; Brynjulf Owren; G. R. W. Quispel (J. Comput. Phys., 2012)

An introduction to Lie group integrators - basics, new developments and applications. - Elena Celledoni; Håkon Marthinsen; Brynjulf Owren (J. Comput. Phys., 2014)

The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the averaged vector field method. - Elena Celledoni; Brynjulf Owren; Yajuan Sun (Math. Comput., 2014)

Geometric integration of non-autonomous linear Hamiltonian problems. - Håkon Marthinsen; Brynjulf Owren (Adv. Comput. Math., 2016)

Adaptive energy preserving methods for partial differential equations. - Sølve Eidnes; Brynjulf Owren; Torbjørn Ringholm (Adv. Comput. Math., 2018)

Dissipative Numerical Schemes on Riemannian Manifolds with Applications to Gradient Flows. - Elena Celledoni; Sølve Eidnes; Brynjulf Owren; Torbjørn Ringholm (SIAM J. Sci. Comput., 2018)

Deep learning as optimal control problems: models and numerical methods. - Martin Benning; Elena Celledoni; Matthias J. Ehrhardt; Brynjulf Owren; Carola-Bibiane Schönlieb (CoRR, 2019)

Computational methods for tracking inertial particles in discrete incompressible flows. - Benjamin K. Tapley; Helge I. Andersson; Elena Celledoni; Brynjulf Owren (CoRR, 2019)

Variable step size commutator free Lie group integrators. - Charles Curry; Brynjulf Owren (Numer. Algorithms, 2019)

A novel approach to rigid spheroid models in viscous flows using operator splitting methods. - Benjamin K. Tapley; Elena Celledoni; Brynjulf Owren; Helge I. Andersson (Numer. Algorithms, 2019)

Structure preserving deep learning. - Elena Celledoni; Matthias J. Ehrhardt; Christian Etmann; Robert I. McLachlan; Brynjulf Owren; Carola-Bibiane Schönlieb; Ferdia Sherry (CoRR, 2020)

An integral model based on slender body theory, with applications to curved rigid fibers. - Helge I. Andersson; Elena Celledoni; Laurel Ohm; Brynjulf Owren; Benjamin K. Tapley (CoRR, 2020)

Energy-preserving methods on Riemannian manifolds. - Elena Celledoni; Sølve Eidnes; Brynjulf Owren; Torbjørn Ringholm (Math. Comput., 2020)

The Magnus expansion and post-Lie algebras. - Charles Curry; Kurusch Ebrahimi-Fard; Brynjulf Owren (Math. Comput., 2020)

Equivariant neural networks for inverse problems. - Elena Celledoni; Matthias J. Ehrhardt; Christian Etmann; Brynjulf Owren; Carola-Bibiane Schönlieb; Ferdia Sherry (CoRR, 2021)

Dynamics of the N-fold Pendulum in the framework of Lie Group Integrators. - Elena Celledoni; Ergys Çokaj; Andrea Leone; Davide Murari; Brynjulf Owren (CoRR, 2021)

Lie group integrators for mechanical systems. - Elena Celledoni; Ergys Çokaj; Andrea Leone; Davide Murari; Brynjulf Owren (Int. J. Comput. Math., 2022)

Computational geometric methods for preferential clustering of particle suspensions. - Benjamin K. Tapley; Helge I. Andersson; Elena Celledoni; Brynjulf Owren (J. Comput. Phys., 2022)

Designing Stable Neural Networks using Convex Analysis and ODEs. - Ferdia Sherry; Elena Celledoni; Matthias J. Ehrhardt; Davide Murari; Brynjulf Owren; Carola-Bibiane Schönlieb (CoRR, 2023)

B-stability of numerical integrators on Riemannian manifolds. - Martin Arnold; Elena Celledoni; Ergys Çokaj; Brynjulf Owren; Denise Tumiotto (CoRR, 2023)

Neural networks for the approximation of Euler's elastica. - Elena Celledoni; Ergys Çokaj; Andrea Leone; Sigrid Leyendecker; Davide Murari; Brynjulf Owren; Rodrigo Takuro Sato Martín de Almagro; Martina Stavole (CoRR, 2023)

Learning Hamiltonians of constrained mechanical systems. - Elena Celledoni; Andrea Leone; Davide Murari; Brynjulf Owren (J. Comput. Appl. Math., 2023)

Using aromas to search for preserved measures and integrals in Kahan's method. - Geir Bogfjellmo; Elena Celledoni; Robert I. McLachlan; Brynjulf Owren; Reinout Quispel (Math. Comput., 2023)

Dynamical Systems-Based Neural Networks. - Elena Celledoni; Davide Murari; Brynjulf Owren; Carola-Bibiane Schönlieb; Ferdia Sherry (SIAM J. Sci. Comput., 2023)

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

Conditional Stability of the Euler Method on Riemannian Manifolds. - Marta Ghirardelli; Brynjulf Owren; Elena Celledoni (CoRR, 2025)

Approximation properties of neural ODEs. - Arturo De Marinis; Davide Murari; Elena Celledoni; Nicola Guglielmi; Brynjulf Owren; Francesco Tudisco (CoRR, 2025)