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ORCIDElena Celledoni
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2020 – today
- 2023
[j30]Elena Celledoni, Andrea Leone
, Davide Murari, Brynjulf Owren:
Learning Hamiltonians of constrained mechanical systems. J. Comput. Appl. Math. 417: 114608 (2023)- [j29]Martin Arnold, Maren Hantke, Raphael Kruse, Helmut Podhaisky, Elena Celledoni, Jason Frank, Jens Lang:
Numerical solution of differential and differential-algebraic equations. Selected papers from NUMDIFF-16. J. Comput. Appl. Math. 430: 115233 (2023) - [j28]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) - [j27]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) - [i19]Elena Celledoni, James Jackaman, Davide Murari, Brynjulf Owren:
Predictions Based on Pixel Data: Insights from PDEs and Finite Differences. CoRR abs/2305.00723 (2023) - [i18]Håkon Noren, Sølve Eidnes, Elena Celledoni:
Learning Dynamical Systems from Noisy Data with Inverse-Explicit Integrators. CoRR abs/2306.03548 (2023) - [i17]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) - [i16]Martin Arnold, Elena Celledoni, Ergys Çokaj, Brynjulf Owren, Denise Tumiotto:
B-stability of numerical integrators on Riemannian manifolds. CoRR abs/2308.08261 (2023) - [i15]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
- [j26]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) - [j25]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) - [i14]Elena Celledoni, Andrea Leone, Davide Murari, Brynjulf Owren:
Learning Hamiltonians of constrained mechanical systems. CoRR abs/2201.13254 (2022) - [i13]Elena Celledoni, Helge Glöckner, Jørgen Riseth, Alexander Schmeding:
Deep learning of diffeomorphisms for optimal reparametrizations of shapes. CoRR abs/2207.11141 (2022) - [i12]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) - [i11]Elena Celledoni, Davide Murari, Brynjulf Owren, Carola-Bibiane Schönlieb, Ferdia Sherry:
Dynamical systems' based neural networks. CoRR abs/2210.02373 (2022) - 2021
- [j24]Martin Arnold, Helmut Podhaisky, Rüdiger Weiner, Elena Celledoni, Jason Frank, Jens Lang:
Numerical Solution of Differential and Differential-Algebraic Equations. Selected Papers from NUMDIFF-15. J. Comput. Appl. Math. 387: 112611 (2021) - [j23]Elena Celledoni, James Jackaman:
Discrete conservation laws for finite element discretisations of multisymplectic PDEs. J. Comput. Phys. 444: 110520 (2021) - [i10]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) - [i9]Elena Celledoni, Ergys Çokaj, Andrea Leone, Davide Murari, Brynjulf Owren:
Lie Group integrators for mechanical systems. CoRR abs/2102.12778 (2021) - [i8]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
- [j22]Elena Celledoni, Sølve Eidnes, Brynjulf Owren, Torbjørn Ringholm:
Energy-preserving methods on Riemannian manifolds. Math. Comput. 89(322): 699-716 (2020) - [i7]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) - [i6]Elena Celledoni, James Jackaman:
Discrete conservation laws for finite element discretisations of multisymplectic PDEs. CoRR abs/2009.00102 (2020) - [i5]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)
2010 – 2019
- 2019
- [j21]Elena Celledoni, Marta Farré Puiggalí, Eirik Hoel Høiseth, David Martín de Diego:
Energy-Preserving Integrators Applied to Nonholonomic Systems. J. Nonlinear Sci. 29(4): 1523-1562 (2019) - [j20]Lu Li, Elena Celledoni:
Krylov projection methods for linear Hamiltonian systems. Numer. Algorithms 81(4): 1361-1378 (2019) - [j19]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) - [c3]Elena Celledoni, Pål Erik Lystad, Nikolas Tapia:
Signatures in Shape Analysis: An Efficient Approach to Motion Identification. GSI 2019: 21-30 - [c2]Elena Celledoni, Halvor S. Gustad, Nikita Kopylov, Henrik S. Sundklakk:
Predicting Bending Moments with Machine Learning. GSI 2019: 180-187 - [i4]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) - [i3]Elena Celledoni, Pål Erik Lystad, Nikolas Tapia:
Signatures in Shape Analysis: an Efficient Approach to Motion Identification. CoRR abs/1906.06406 (2019) - [i2]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) - 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) - 2017
- [j17]Elena Celledoni, Eirik Hoel Høiseth:
The averaged Lagrangian method. J. Comput. Appl. Math. 316: 161-174 (2017) - [c1]Elena Celledoni, Sølve Eidnes, Markus Eslitzbichler, Alexander Schmeding:
Shape Analysis on Lie Groups and Homogeneous Spaces. GSI 2017: 49-56 - 2016
- [j16]Elena Celledoni, Bawfeh Kingsley Kometa, Olivier Verdier:
High Order Semi-Lagrangian Methods for the Incompressible Navier-Stokes Equations. J. Sci. Comput. 66(1): 91-115 (2016) - 2015
- [i1]Elena Celledoni, Markus Eslitzbichler:
Shape Analysis on Lie Groups with Applications in Computer Animation. CoRR abs/1506.00783 (2015) - 2014
- [j15]Elena Celledoni, Håkon Marthinsen, Brynjulf Owren:
An introduction to Lie group integrators - basics, new developments and applications. J. Comput. Phys. 257: 1040-1061 (2014) - [j14]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
- [j13]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
- [j12]Elena Celledoni, Bawfeh Kingsley Kometa:
Semi-Lagrangian multistep exponential integrators for index 2 differential-algebraic systems. J. Comput. Phys. 230(9): 3413-3429 (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) - [j10]Elena Celledoni, Antonella Zanna:
Algorithm 903: FRB-Fortran routines for the exact computation of free rigid body motions. ACM Trans. Math. Softw. 37(2): 23:1-23:24 (2010)
2000 – 2009
- 2009
- [j9]Elena Celledoni, Bawfeh Kingsley Kometa:
Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems. J. Sci. Comput. 41(1): 139-164 (2009) - 2008
- [j8]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) - [j7]Elena Celledoni, Simone G. O. Fiori:
Descent methods for optimization on homogeneous manifolds. Math. Comput. Simul. 79(4): 1298-1323 (2008) - [j6]Elena Celledoni, Francesco Fassò, Niklas Säfström, Antonella Zanna:
The Exact Computation of the Free Rigid Body Motion and Its Use in Splitting Methods. SIAM J. Sci. Comput. 30(4): 2084-2112 (2008) - 2003
- [j5]Elena Celledoni, Arne Marthinsen, Brynjulf Owren:
Commutator-free Lie group methods. Future Gener. Comput. Syst. 19(3): 341-352 (2003) - [j4]Elena Celledoni, Brynjulf Owren:
On the Implementation of Lie Group Methods on the Stiefel Manifold. Numer. Algorithms 32(2-4): 163-183 (2003) - 2002
- [j3]Elena Celledoni, Arieh Iserles, Syvert P. Nørsett, Bojan Orel:
Complexity Theory for Lie-Group Solvers. J. Complex. 18(1): 242-286 (2002) - [j2]Elena Celledoni, Brynjulf Owren:
A Class of Intrinsic Schemes for Orthogonal Integration. SIAM J. Numer. Anal. 40(6): 2069-2084 (2002) - 2000
- [j1]Elena Celledoni, Arieh Iserles:
Approximating the exponential from a Lie algebra to a Lie group. Math. Comput. 69(232): 1457-1480 (2000)
Coauthor Index
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