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Journal Articles
- 2023
[j28]Elena Celledoni, Andrea Leone
, Davide Murari, Brynjulf Owren:
Learning Hamiltonians of constrained mechanical systems. J. Comput. Appl. Math. 417: 114608 (2023)- [j27]Geir Bogfjellmo, Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, Reinout Quispel:
Using aromas to search for preserved measures and integrals in Kahan's method. Math. Comput. 93(348): 1633-1653 (2023) - [j26]Elena Celledoni, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry:
Dynamical Systems-Based Neural Networks. SIAM J. Sci. Comput. 45(3): 3071-3094 (2023) - 2022
- [j25]Elena Celledoni, Ergys Çokaj, Andrea Leone, Davide Murari, Brynjulf Owren:
Lie group integrators for mechanical systems. Int. J. Comput. Math. 99(1): 58-88 (2022) - [j24]Benjamin K. Tapley, Helge I. Andersson, Elena Celledoni, Brynjulf Owren:
Computational geometric methods for preferential clustering of particle suspensions. J. Comput. Phys. 448: 110725 (2022) - 2020
- [j23]Elena Celledoni, Sølve Eidnes, Brynjulf Owren, Torbjørn Ringholm:
Energy-preserving methods on Riemannian manifolds. Math. Comput. 89(322): 699-716 (2020) - [j22]Charles Curry, Kurusch Ebrahimi-Fard, Brynjulf Owren:
The Magnus expansion and post-Lie algebras. Math. Comput. 89(326): 2785-2799 (2020) - 2019
- [j21]Benjamin K. Tapley, Elena Celledoni, Brynjulf Owren, Helge I. Andersson:
A novel approach to rigid spheroid models in viscous flows using operator splitting methods. Numer. Algorithms 81(4): 1423-1441 (2019) - [j20]Charles Curry, Brynjulf Owren:
Variable step size commutator free Lie group integrators. Numer. Algorithms 82(4): 1359-1376 (2019) - 2018
- [j19]Sølve Eidnes, Brynjulf Owren, Torbjørn Ringholm:
Adaptive energy preserving methods for partial differential equations. Adv. Comput. Math. 44(3): 815-839 (2018) - [j18]Elena Celledoni, Sølve Eidnes, Brynjulf Owren, Torbjørn Ringholm:
Dissipative Numerical Schemes on Riemannian Manifolds with Applications to Gradient Flows. SIAM J. Sci. Comput. 40(6): A3789-A3806 (2018) - 2016
- [j17]Håkon Marthinsen, Brynjulf Owren:
Geometric integration of non-autonomous linear Hamiltonian problems. Adv. Comput. Math. 42(2): 313-332 (2016) - 2014
- [j16]Elena Celledoni, Håkon Marthinsen, Brynjulf Owren:
An introduction to Lie group integrators - basics, new developments and applications. J. Comput. Phys. 257: 1040-1061 (2014) - [j15]Elena Celledoni, Brynjulf Owren, Yajuan Sun:
The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the averaged vector field method. Math. Comput. 83(288): 1689-1700 (2014) - 2012
- [j14]Elena Celledoni, Volker Grimm, Robert I. McLachlan, David I. McLaren, Dion R. J. O'Neale, Brynjulf Owren, G. R. W. Quispel:
Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method. J. Comput. Phys. 231(20): 6770-6789 (2012) - 2011
- [j13]Snorre H. Christiansen, Hans Z. Munthe-Kaas, Brynjulf Owren:
Topics in structure-preserving discretization. Acta Numer. 20: 1-119 (2011) - [j12]Morten Dahlby, Brynjulf Owren:
A General Framework for Deriving Integral Preserving Numerical Methods for PDEs. SIAM J. Sci. Comput. 33(5): 2318-2340 (2011) - 2010
- [j11]Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, G. R. W. Quispel:
Energy-Preserving Integrators and the Structure of B-series. Found. Comput. Math. 10(6): 673-693 (2010) - 2008
- [j10]Elena Celledoni, David Cohen, Brynjulf Owren:
Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation. Found. Comput. Math. 8(3): 303-317 (2008) - [j9]David Cohen, Brynjulf Owren, Xavier Raynaud:
Multi-symplectic integration of the Camassa-Holm equation. J. Comput. Phys. 227(11): 5492-5512 (2008) - 2005
- [j8]Håvard Berland, Brynjulf Owren, Bård Skaflestad:
B-series and Order Conditions for Exponential Integrators. SIAM J. Numer. Anal. 43(4): 1715-1727 (2005) - 2003
- [j7]Elena Celledoni, Arne Marthinsen, Brynjulf Owren:
Commutator-free Lie group methods. Future Gener. Comput. Syst. 19(3): 341-352 (2003) - [j6]Elena Celledoni, Brynjulf Owren:
On the Implementation of Lie Group Methods on the Stiefel Manifold. Numer. Algorithms 32(2-4): 163-183 (2003) - 2002
- [j5]Elena Celledoni, Brynjulf Owren:
A Class of Intrinsic Schemes for Orthogonal Integration. SIAM J. Numer. Anal. 40(6): 2069-2084 (2002) - 2001
- [j4]Brynjulf Owren, Arne Marthinsen:
Integration methods based on canonical coordinates of the second kind. Numerische Mathematik 87(4): 763-790 (2001) - 2000
- [j3]Zdzislaw Jackiewicz, Arne Marthinsen, Brynjulf Owren:
Construction of Runge-Kutta methods of Crouch-Grossman type of high order. Adv. Comput. Math. 13(4): 405-415 (2000) - 1998
- [j2]Kersti Ekeland, Brynjulf Owren, Eivor Øines:
Stiffness Detection and Estimation of Dominant Spectrum with Explicit Runge-Kutta Methods. ACM Trans. Math. Softw. 24(4): 368-382 (1998) - 1992
- [j1]Brynjulf Owren, Marino Zennaro:
Derivation of Efficient, Continuous, Explicit Runge-Kutta Methods. SIAM J. Sci. Comput. 13(6): 1488-1501 (1992)
Informal and Other Publications
- 2023
- [i14]Elena Celledoni, James Jackaman, Davide Murari, Brynjulf Owren:
Predictions Based on Pixel Data: Insights from PDEs and Finite Differences. CoRR abs/2305.00723 (2023) - [i13]Ferdia Sherry, Elena Celledoni, Matthias J. Ehrhardt, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb:
Designing Stable Neural Networks using Convex Analysis and ODEs. CoRR abs/2306.17332 (2023) - [i12]Martin Arnold, Elena Celledoni, Ergys Çokaj, Brynjulf Owren, Denise Tumiotto:
B-stability of numerical integrators on Riemannian manifolds. CoRR abs/2308.08261 (2023) - [i11]Elena Celledoni, Ergys Çokaj, Andrea Leone, Sigrid Leyendecker, Davide Murari, Brynjulf Owren, Rodrigo Takuro Sato Martín de Almagro, Martina Stavole:
Neural networks for the approximation of Euler's elastica. CoRR abs/2312.00644 (2023) - 2022
- [i10]Elena Celledoni, Andrea Leone, Davide Murari, Brynjulf Owren:
Learning Hamiltonians of constrained mechanical systems. CoRR abs/2201.13254 (2022) - [i9]Geir Bogfjellmo, Elena Celledoni, Robert I. McLachlan, Brynjulf Owren, Reinout Quispel:
Using aromas to search for preserved measures and integrals in Kahan's method. CoRR abs/2209.01094 (2022) - [i8]Elena Celledoni, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry:
Dynamical systems' based neural networks. CoRR abs/2210.02373 (2022) - 2021
- [i7]Elena Celledoni, Matthias J. Ehrhardt, Christian Etmann, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry:
Equivariant neural networks for inverse problems. CoRR abs/2102.11504 (2021) - [i6]Elena Celledoni, Ergys Çokaj, Andrea Leone, Davide Murari, Brynjulf Owren:
Lie Group integrators for mechanical systems. CoRR abs/2102.12778 (2021) - [i5]Elena Celledoni, Ergys Çokaj, Andrea Leone, Davide Murari, Brynjulf Owren:
Dynamics of the N-fold Pendulum in the framework of Lie Group Integrators. CoRR abs/2109.12325 (2021) - 2020
- [i4]Elena Celledoni, Matthias J. Ehrhardt, Christian Etmann, Robert I. McLachlan, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry:
Structure preserving deep learning. CoRR abs/2006.03364 (2020) - [i3]Helge I. Andersson, Elena Celledoni, Laurel Ohm, Brynjulf Owren, Benjamin K. Tapley:
An integral model based on slender body theory, with applications to curved rigid fibers. CoRR abs/2012.11561 (2020) - 2019
- [i2]Martin Benning, Elena Celledoni, Matthias J. Ehrhardt, Brynjulf Owren, Carola-Bibiane Schönlieb:
Deep learning as optimal control problems: models and numerical methods. CoRR abs/1904.05657 (2019) - [i1]Benjamin K. Tapley, Helge I. Andersson, Elena Celledoni, Brynjulf Owren:
Computational methods for tracking inertial particles in discrete incompressible flows. CoRR abs/1907.11936 (2019)
Coauthor Index
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