Brynjulf Owren

46 papers Journal 46

Year	Rank	Type	Title / Venue / Authors
2025	J	`jnl`	Approximation properties of neural ODEs. CoRR Arturo De Marinis, Davide Murari, Elena Celledoni, Nicola Guglielmi, Brynjulf Owren, Francesco Tudisco
2025	J	`jnl`	Conditional Stability of the Euler Method on Riemannian Manifolds. CoRR Marta Ghirardelli, Brynjulf Owren, Elena Celledoni
2025	J	`jnl`	Mixed Precision Training of Neural ODEs. CoRR Elena Celledoni, Brynjulf Owren, Lars Ruthotto, Nicole Tianjiao Yang
2025	J	`jnl`	Predictions based on pixel data: Insights from PDEs and finite differences. J. Comput. Phys. Elena Celledoni, James Jackaman, Davide Murari, Brynjulf Owren
2023	J	`jnl`	B-stability of numerical integrators on Riemannian manifolds. CoRR Martin Arnold, Elena Celledoni, Ergys Çokaj, Brynjulf Owren, Denise Tumiotto
2023	J	`jnl`	Designing Stable Neural Networks using Convex Analysis and ODEs. CoRR Ferdia Sherry, Elena Celledoni, Matthias J. Ehrhardt, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb
2023	J	`jnl`	Dynamical Systems-Based Neural Networks. SIAM J. Sci. Comput. Elena Celledoni, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry
2023	J	`jnl`	Learning Hamiltonians of constrained mechanical systems. J. Comput. Appl. Math. Elena Celledoni, Andrea Leone, Davide Murari, Brynjulf Owren
2023	J	`jnl`	Neural networks for the approximation of Euler's elastica. CoRR Elena Celledoni, Ergys Çokaj, Andrea Leone, Sigrid Leyendecker, Davide Murari, Brynjulf Owren, Rodrigo Takuro Sato Martín de Almagro, Martina Stavole
2023	J	`jnl`	Predictions Based on Pixel Data: Insights from PDEs and Finite Differences. CoRR Elena Celledoni, James Jackaman, Davide Murari, Brynjulf Owren
2023	J	`jnl`	Using aromas to search for preserved measures and integrals in Kahan's method. Math. Comput. Geir Bogfjellmo, Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, Reinout Quispel
2022	J	`jnl`	Computational geometric methods for preferential clustering of particle suspensions. J. Comput. Phys. Benjamin K. Tapley, Helge I. Andersson, Elena Celledoni, Brynjulf Owren
2022	J	`jnl`	Dynamical systems' based neural networks. CoRR Elena Celledoni, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry
2022	J	`jnl`	Learning Hamiltonians of constrained mechanical systems. CoRR Elena Celledoni, Andrea Leone, Davide Murari, Brynjulf Owren
2022	J	`jnl`	Lie group integrators for mechanical systems. Int. J. Comput. Math. Elena Celledoni, Ergys Çokaj, Andrea Leone, Davide Murari, Brynjulf Owren
2022	J	`jnl`	Using aromas to search for preserved measures and integrals in Kahan's method. CoRR Geir Bogfjellmo, Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, Reinout Quispel
2021	J	`jnl`	Dynamics of the N-fold Pendulum in the framework of Lie Group Integrators. CoRR Elena Celledoni, Ergys Çokaj, Andrea Leone, Davide Murari, Brynjulf Owren
2021	J	`jnl`	Equivariant neural networks for inverse problems. CoRR Elena Celledoni, Matthias J. Ehrhardt, Christian Etmann, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry
2021	J	`jnl`	Lie Group integrators for mechanical systems. CoRR Elena Celledoni, Ergys Çokaj, Andrea Leone, Davide Murari, Brynjulf Owren
2020	J	`jnl`	An integral model based on slender body theory, with applications to curved rigid fibers. CoRR Helge I. Andersson, Elena Celledoni, Laurel Ohm, Brynjulf Owren, Benjamin K. Tapley
2020	J	`jnl`	Energy-preserving methods on Riemannian manifolds. Math. Comput. Elena Celledoni, Sølve Eidnes, Brynjulf Owren, Torbjørn Ringholm
2020	J	`jnl`	Structure preserving deep learning. CoRR Elena Celledoni, Matthias J. Ehrhardt, Christian Etmann, Robert I. McLachlan, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry
2020	J	`jnl`	The Magnus expansion and post-Lie algebras. Math. Comput. Charles Curry, Kurusch Ebrahimi-Fard, Brynjulf Owren
2019	J	`jnl`	A novel approach to rigid spheroid models in viscous flows using operator splitting methods. Numer. Algorithms Benjamin K. Tapley, Elena Celledoni, Brynjulf Owren, Helge I. Andersson
2019	J	`jnl`	Computational methods for tracking inertial particles in discrete incompressible flows. CoRR Benjamin K. Tapley, Helge I. Andersson, Elena Celledoni, Brynjulf Owren
2019	J	`jnl`	Deep learning as optimal control problems: models and numerical methods. CoRR Martin Benning, Elena Celledoni, Matthias J. Ehrhardt, Brynjulf Owren, Carola-Bibiane Schönlieb
2019	J	`jnl`	Variable step size commutator free Lie group integrators. Numer. Algorithms Charles Curry, Brynjulf Owren
2018	J	`jnl`	Adaptive energy preserving methods for partial differential equations. Adv. Comput. Math. Sølve Eidnes, Brynjulf Owren, Torbjørn Ringholm
2018	J	`jnl`	Dissipative Numerical Schemes on Riemannian Manifolds with Applications to Gradient Flows. SIAM J. Sci. Comput. Elena Celledoni, Sølve Eidnes, Brynjulf Owren, Torbjørn Ringholm
2016	J	`jnl`	Geometric integration of non-autonomous linear Hamiltonian problems. Adv. Comput. Math. Håkon Marthinsen, Brynjulf Owren
2014	J	`jnl`	An introduction to Lie group integrators - basics, new developments and applications. J. Comput. Phys. Elena Celledoni, Håkon Marthinsen, Brynjulf Owren
2014	J	`jnl`	The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the averaged vector field method. Math. Comput. Elena Celledoni, Brynjulf Owren, Yajuan Sun
2012	J	`jnl`	Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method. J. Comput. Phys. Elena Celledoni, Volker Grimm, Robert I. McLachlan, David I. McLaren, Dion R. J. O'Neale, Brynjulf Owren, G. R. W. Quispel
2011	J	`jnl`	A General Framework for Deriving Integral Preserving Numerical Methods for PDEs. SIAM J. Sci. Comput. Morten Dahlby, Brynjulf Owren
2011	J	`jnl`	Topics in structure-preserving discretization. Acta Numer. Snorre H. Christiansen, Hans Z. Munthe-Kaas, Brynjulf Owren
2010	J	`jnl`	Energy-Preserving Integrators and the Structure of B-series. Found. Comput. Math. Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, G. R. W. Quispel
2008	J	`jnl`	Multi-symplectic integration of the Camassa-Holm equation. J. Comput. Phys. David Cohen, Brynjulf Owren, Xavier Raynaud
2008	J	`jnl`	Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation. Found. Comput. Math. Elena Celledoni, David Cohen, Brynjulf Owren
2005	J	`jnl`	B-series and Order Conditions for Exponential Integrators. SIAM J. Numer. Anal. Håvard Berland, Brynjulf Owren, Bård Skaflestad
2003	J	`jnl`	Commutator-free Lie group methods. Future Gener. Comput. Syst. Elena Celledoni, Arne Marthinsen, Brynjulf Owren
2003	J	`jnl`	On the Implementation of Lie Group Methods on the Stiefel Manifold. Numer. Algorithms Elena Celledoni, Brynjulf Owren
2002	J	`jnl`	A Class of Intrinsic Schemes for Orthogonal Integration. SIAM J. Numer. Anal. Elena Celledoni, Brynjulf Owren
2001	J	`jnl`	Integration methods based on canonical coordinates of the second kind. Numerische Mathematik Brynjulf Owren, Arne Marthinsen
2000	J	`jnl`	Construction of Runge-Kutta methods of Crouch-Grossman type of high order. Adv. Comput. Math. Zdzislaw Jackiewicz, Arne Marthinsen, Brynjulf Owren
1998	J	`jnl`	Stiffness Detection and Estimation of Dominant Spectrum with Explicit Runge-Kutta Methods. ACM Trans. Math. Softw. Kersti Ekeland, Brynjulf Owren, Eivor Øines
1992	J	`jnl`	Derivation of Efficient, Continuous, Explicit Runge-Kutta Methods. SIAM J. Sci. Comput. Brynjulf Owren, Marino Zennaro