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2024
1 Arnold, Martin; Celledoni, Elena; Cokaj, Ergys; Owren, Brynjulf Rustad; Tumiotto, Denise.
B-stability of numerical integrators on Riemannian manifolds. Journal of Computational Dynamics 2024 ;Volum 11.(1) s. 92-107
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2023
2 Arnold, Martin; Hantke, Maren; Kruse, Raphael; Podhaisky, Helmut; Celledoni, Elena; Frank, Jason; Lang, Jens.
Numerical solution of differential and differential-algebraic equations. Selected papers from NUMDIFF-16. Journal of Computational and Applied Mathematics 2023 s. -
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3 Bogfjellmo, Geir; Celledoni, Elena; McLachlan, Robert I.; Owren, Brynjulf Rustad; Quispel, Gilles Reinout Willem.
Using aromas to search for preserved measures and integrals in Kahan’s method. Mathematics of Computation 2023 s. -
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4 Celledoni, Elena; Glöckner, Helge; Riseth, Jørgen Nilsen; Schmeding, Alexander.
Deep neural networks on diffeomorphism groups for optimal shape reparametrization. BIT Numerical Mathematics 2023 ;Volum 63.(4) s. 1-38
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5 Celledoni, Elena; Murari, Davide; Owren, Brynjulf Rustad; Schonlieb, Carola-Bibiane; Sherry, Ferdia.
DYNAMICAL SYSTEMS - BASED NEURAL NETWORKS. SIAM Journal on Scientific Computing 2023 ;Volum 45.(6) s. A3071-A3094
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2022
6 Celledoni, Elena; Cokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf Rustad.
Dynamics of the N-fold Pendulum in the Framework of Lie Group Integrators. Mathematics in Industry 2022 ;Volum 39. s. 297-304
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7 Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, G.R.W.; Tapley, Benjamin Kwanen.
DETECTING AND DETERMINING PRESERVED MEASURES AND INTEGRALS OF BIRATIONAL MAPS. Journal of Computational Dynamics 2022 ;Volum 9.(4) s. 553-574
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8 Celledoni, Elena; Leone, Andrea; Murari, Davide; Owren, Brynjulf.
Learning Hamiltonians of constrained mechanical systems. Journal of Computational and Applied Mathematics 2022 ;Volum 417. s. -
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9 Murari, Davide; Celledoni, Elena; Owren, Brynjulf Rustad; Sherry, Ferdia; Schönlieb, Carola-Bibiane.
Structure preserving neural networks based on ODEs. : NeurIPS 2022 Workshop DLDE homepage 2022 10 s.
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10 Noren, Håkon; Celledoni, Elena; Eidnes, Sølve.
Numerical integrators for learning dynamical systems from noisy data. The Symbiosis of Deep Learning and Differential Equations; 2022-12-09 - 2022-12-09
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11 Tapley, Benjamin Kwanen; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf.
Computational geometric methods for preferential clustering of particle suspensions. Journal of Computational Physics 2022 ;Volum 448. s. -
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2021
12 Andersson, Helge Ingolf; Celledoni, Elena; Ohm, Laurel; Owren, Brynjulf; Tapley, Benjamin.
An integral model based on slender body theory, with applications to curved rigid fibers. Physics of Fluids 2021 ;Volum 33.(4) s. -
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13 Arnold, Martin; Podhaisky, Helmut; Weiner, Rüdiger; Celledoni, Elena; Frank, Jason; Lang, Jens.
Numerical Solution of Differential and Differential–Algebraic Equations. Selected Papers from NUMDIFF-15. Journal of Computational and Applied Mathematics 2021 ;Volum 387. s. -
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14 Celledoni, Elena; Çokaj, Ergys; Leone, Andrea; Murari, Davide; Owren, Brynjulf.
Lie Group integrators for mechanical systems. International Journal of Computer Mathematics 2021 s. 58-88
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15 Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; McLachlan, Robert I.; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia.
Structure preserving deep learning. European journal of applied mathematics 2021 s. 888-936
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16 Celledoni, Elena; Ehrhardt, Matthias J.; Etmann, Christian; Owren, Brynjulf; Schönlieb, Carola-Bibiane; Sherry, Ferdia.
Equivariant neural networks for inverse problems. Inverse Problems 2021 ;Volum 37.(8) s. -
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17 Celledoni, Elena; Jackaman, James.
Discrete conservation laws for finite element discretisations of multisymplectic PDEs. Journal of Computational Physics 2021 ;Volum 444. s. -
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2019
18 Benning, Martin; Celledoni, Elena; Ehrhardt, Matthias J.; Owren, Brynjulf; Schönlieb, Carola-Bibiane.
Deep learning as optimal control problems: models and numerical methods. Journal of Computational Dynamics 2019 ;Volum 6.(2) s. 171-198
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19 Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn.
Energy-preserving methods on Riemannian manifolds. Mathematics of Computation 2019 ;Volum 89.(322) s. 699-716
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20 Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; van der Kamp, Peter H..
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. arXiv.org 2019
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21 Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem; Tapley, Benjamin; van der Kamp, Peter H..
Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps. Journal of Physics A: Mathematical and Theoretical 2019 ;Volum 52.(31) s. -
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22 Celledoni, Elena; Evripidou, Charalambos; McLaren, David I.; Owren, Brynjulf; Quispel, G.R.W.; Tapley, Benjamin.
Discrete Darboux polynomials and the search for preserved measures and integrals of rational maps. arXiv.org 2019
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23 Celledoni, Elena; Farre Puiggali, Marta; Høiseth, Eirik Hoel; Martin de Diego, David.
Energy-Preserving Integrators Applied to Nonholonomic Systems. Journal of nonlinear science 2019 ;Volum 29.(4) s. 1523-1562
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24 Celledoni, Elena; Gustad, Halvor Snersrud; Kopylov, Nikita; Sundklakk, Henrik Sperre.
Predicting bending moments with machine learning. Lecture Notes in Computer Science (LNCS) 2019 ;Volum LNCS11712.
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25 Celledoni, Elena; Lystad, Pål Erik; Tapia, Nikolas.
Signatures in Shape analysis: An efficient approach to motion identification. Lecture Notes in Computer Science (LNCS) 2019 ;Volum 11712 LNCS. s. 21-30
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26 Celledoni, Elena; McLachlan, I. Robert.
Preface. Special issue in honour of Reinout Quispel. Journal of Computational Dynamics 2019 ;Volum 6.(2)
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27 Celledoni, Elena; McLaren, David; Owren, Brynjulf; Quispel, Reinout.
Geometric and integrability properties of Kahan?s method: The preservation of certain quadratic integrals. Journal of Physics A: Mathematical and Theoretical 2019 ;Volum 52.(6) s. -
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28 Gustad, Halvor Snersrud; Moe, Per Thomas; Celledoni, Elena.
A PDE Model for Estimating the Life Time of a Riser. ASME Press 2019 (ISBN 978-0-7918-5881-3) 9 s.
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29 Li, Lu; Celledoni, Elena.
Krylov projection methods for linear Hamiltonian systems. Numerical Algorithms 2019 s. -
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30 Ohm, Laurel; Tapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf.
A slender body model for thin rigid fibers: validation and comparisons. I: MekIT’19 - 10th National Conference on Computational Mechanics (Trondheim, Norway, 3-4 June 2019). International Center for Numerical Methods in Engineering (CIMNE) 2019 ISBN 978-84-949194-9-7. s. 343-365
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31 Ohm, Laurel; Tapley, Benjamin; Andersson, Helge Ingolf; Celledoni, Elena; Owren, Brynjulf.
A slender body model for thin rigid fibers: validation and comparisons. 10th National Conference on Computational Mechanics; 2019-06-03 - 2019-06-04
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32 Tapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge Ingolf.
A novel approach to rigid spheroid models in viscous flows using operator splitting methods. Numerical Algorithms 2019 ;Volum 81.(4) s. 1423-1441
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33 Tapley, Benjamin; Owren, Brynjulf; Celledoni, Elena; Andersson, Helge Ingolf.
Computational methods for tracking inertial particles in discrete incompressible flows. arXiv.org 2019
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34 van der Kamp, Peter H.; Celledoni, Elena; Mclachlan, Robert, i; McLaren, David I.; Owren, Brynjulf; Quispel, Gilles Reinout Willem.
Three classes of quadratic vector fields for which the Kahan discretization is the root of a generalised Manin transformation. Journal of Physics A: Mathematical and Theoretical 2019 ;Volum 52.(4) s. 1-10
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2018
35 Celledoni, Elena.
Deep learning as optimal control problems. Numdiff- Halle; 2018-09-03 - 2018-09-07
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36 Celledoni, Elena.
Deep learning as optimal control problems. Modern Numerical Methods for Quantum Mechanics II; 2018-06-27 - 2018-06-29
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37 Celledoni, Elena; Di Nunno, Giulia; Ebrahimi-Fard, Kurusch; Munthe-Kaas, Hans.
Computation and Combinatorics in Dynamics, Stochastics and Control. Springer 2018 (ISBN 978-3-030-01592-3) ;Volum 13.737 s. Abel Symposia(1)
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38 Celledoni, Elena; Eidnes, Sølve; Owren, Brynjulf; Ringholm, Torbjørn.
Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows. SIAM Journal on Scientific Computing 2018 ;Volum 40.(6)
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39 Celledoni, Elena; Eidnes, Sølve; Schmeding, Alexander.
Shape analysis on homogeneous spaces: a generalised SRVT framework. Abel Symposia 2018 ;Volum 13. s. 187-220
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40 Celledoni, Elena; Høiseth, Eirik Hoel.
Structure preserving discretization of port-Hamiltonian systems. ANODE 2018; 2018-02-19 - 2018-02-23
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41 Celledoni, Elena; Høiseth, Eirik Hoel; Ramzina, Nataliya.
Passivity-preserving splitting methods for rigid body systems. Multibody system dynamics 2018 ;Volum 44.(3) s. 251-275
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42 Ringholm, Torbjørn.
Discrete gradient methods in image processing and partial differential equations on moving meshes. : NTNU 2018 (ISBN 978-82-326-3260-2) 193 s.
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43 Tapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge Ingolf.
A novel approach to rigid spheroid models in viscous flows using operator splitting methods. Auckland Numerical Ordinary Differential Equations Conference; 2018-02-19 - 2018-02-23
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44 Tapley, Benjamin; Celledoni, Elena; Owren, Brynjulf; Andersson, Helge Ingolf.
A novel approach to rigid spheroid models in viscous flows using operator splitting methods.. arXiv.org 2018
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2017
45 Celledoni, Elena.
Shape analsis on homogeneous manifolds. Connections in Geometric Numerical Integration and Structure-Preserving Discretization; 2017-06-11 - 2017-06-16
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46 Celledoni, Elena.
Shape analysis on Lie groups and homogeneous manifolds. SciCADE 2017; 2017-09-11 - 2017-09-16
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47 Celledoni, Elena.
Shape analysis on Lie groups and homogeneous manifolds. V Iberoamerican Meeting on Geometry, Mechanics and Control.; 2017-01-16 - 2017-01-20
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48 Celledoni, Elena.
Shape analysis on Lie groups and homogeneous spaces.. Future and Emerging Mathematical Technologies; 2017-12-11 - 2017-12-15
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49 Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander.
Shape analysis on Lie groups and homogeneous manifolds. Proceedings of the GSI conference 2017 2017
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50 Celledoni, Elena; Eidnes, Sølve; Eslitzbichler, Markus; Schmeding, Alexander.
Shape analysis on lie groups and homogeneous spaces. Lecture Notes in Computer Science (LNCS) 2017 ;Volum 10589 LNCS. s. 49-56
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