BibTeX records: Elena Celledoni

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@article{DBLP:journals/jcam/CelledoniLMO23,
  author       = {Elena Celledoni and
                  Andrea Leone and
                  Davide Murari and
                  Brynjulf Owren},
  title        = {Learning Hamiltonians of constrained mechanical systems},
  journal      = {J. Comput. Appl. Math.},
  volume       = {417},
  pages        = {114608},
  year         = {2023}
}
@article{DBLP:journals/jcam/ArnoldHKPCF023,
  author       = {Martin Arnold and
                  Maren Hantke and
                  Raphael Kruse and
                  Helmut Podhaisky and
                  Elena Celledoni and
                  Jason Frank and
                  Jens Lang},
  title        = {Numerical solution of differential and differential-algebraic equations.
                  Selected papers from {NUMDIFF-16}},
  journal      = {J. Comput. Appl. Math.},
  volume       = {430},
  pages        = {115233},
  year         = {2023}
}
@article{DBLP:journals/siamsc/CelledoniMOSS23,
  author       = {Elena Celledoni and
                  Davide Murari and
                  Brynjulf Owren and
                  Carola{-}Bibiane Sch{\"{o}}nlieb and
                  Ferdia Sherry},
  title        = {Dynamical Systems-Based Neural Networks},
  journal      = {{SIAM} J. Sci. Comput.},
  volume       = {45},
  number       = {3},
  pages        = {3071--3094},
  year         = {2023}
}
@article{DBLP:journals/corr/abs-2305-00723,
  author       = {Elena Celledoni and
                  James Jackaman and
                  Davide Murari and
                  Brynjulf Owren},
  title        = {Predictions Based on Pixel Data: Insights from PDEs and Finite Differences},
  journal      = {CoRR},
  volume       = {abs/2305.00723},
  year         = {2023}
}
@article{DBLP:journals/corr/abs-2306-03548,
  author       = {H{\aa}kon Noren and
                  S{\o}lve Eidnes and
                  Elena Celledoni},
  title        = {Learning Dynamical Systems from Noisy Data with Inverse-Explicit Integrators},
  journal      = {CoRR},
  volume       = {abs/2306.03548},
  year         = {2023}
}
@article{DBLP:journals/corr/abs-2306-17332,
  author       = {Ferdia Sherry and
                  Elena Celledoni and
                  Matthias J. Ehrhardt and
                  Davide Murari and
                  Brynjulf Owren and
                  Carola{-}Bibiane Sch{\"{o}}nlieb},
  title        = {Designing Stable Neural Networks using Convex Analysis and ODEs},
  journal      = {CoRR},
  volume       = {abs/2306.17332},
  year         = {2023}
}
@article{DBLP:journals/corr/abs-2308-08261,
  author       = {Martin Arnold and
                  Elena Celledoni and
                  Ergys {\c{C}}okaj and
                  Brynjulf Owren and
                  Denise Tumiotto},
  title        = {B-stability of numerical integrators on Riemannian manifolds},
  journal      = {CoRR},
  volume       = {abs/2308.08261},
  year         = {2023}
}
@article{DBLP:journals/corr/abs-2312-00644,
  author       = {Elena Celledoni and
                  Ergys {\c{C}}okaj and
                  Andrea Leone and
                  Sigrid Leyendecker and
                  Davide Murari and
                  Brynjulf Owren and
                  Rodrigo Takuro Sato Mart{\'{\i}}n de Almagro and
                  Martina Stavole},
  title        = {Neural networks for the approximation of Euler's elastica},
  journal      = {CoRR},
  volume       = {abs/2312.00644},
  year         = {2023}
}
@article{DBLP:journals/ijcm/CelledoniCLMO22,
  author       = {Elena Celledoni and
                  Ergys {\c{C}}okaj and
                  Andrea Leone and
                  Davide Murari and
                  Brynjulf Owren},
  title        = {Lie group integrators for mechanical systems},
  journal      = {Int. J. Comput. Math.},
  volume       = {99},
  number       = {1},
  pages        = {58--88},
  year         = {2022}
}
@article{DBLP:journals/jcphy/TapleyACO22,
  author       = {Benjamin K. Tapley and
                  Helge I. Andersson and
                  Elena Celledoni and
                  Brynjulf Owren},
  title        = {Computational geometric methods for preferential clustering of particle
                  suspensions},
  journal      = {J. Comput. Phys.},
  volume       = {448},
  pages        = {110725},
  year         = {2022}
}
@article{DBLP:journals/corr/abs-2201-13254,
  author       = {Elena Celledoni and
                  Andrea Leone and
                  Davide Murari and
                  Brynjulf Owren},
  title        = {Learning Hamiltonians of constrained mechanical systems},
  journal      = {CoRR},
  volume       = {abs/2201.13254},
  year         = {2022}
}
@article{DBLP:journals/corr/abs-2207-11141,
  author       = {Elena Celledoni and
                  Helge Gl{\"{o}}ckner and
                  J{\o}rgen Riseth and
                  Alexander Schmeding},
  title        = {Deep learning of diffeomorphisms for optimal reparametrizations of
                  shapes},
  journal      = {CoRR},
  volume       = {abs/2207.11141},
  year         = {2022}
}
@article{DBLP:journals/corr/abs-2209-01094,
  author       = {Geir Bogfjellmo and
                  Elena Celledoni and
                  Robert I. McLachlan and
                  Brynjulf Owren and
                  Reinout Quispel},
  title        = {Using aromas to search for preserved measures and integrals in Kahan's
                  method},
  journal      = {CoRR},
  volume       = {abs/2209.01094},
  year         = {2022}
}
@article{DBLP:journals/corr/abs-2210-02373,
  author       = {Elena Celledoni and
                  Davide Murari and
                  Brynjulf Owren and
                  Carola{-}Bibiane Sch{\"{o}}nlieb and
                  Ferdia Sherry},
  title        = {Dynamical systems' based neural networks},
  journal      = {CoRR},
  volume       = {abs/2210.02373},
  year         = {2022}
}
@article{DBLP:journals/jcam/ArnoldPWCFL21,
  author       = {Martin Arnold and
                  Helmut Podhaisky and
                  R{\"{u}}diger Weiner and
                  Elena Celledoni and
                  Jason Frank and
                  Jens Lang},
  title        = {Numerical Solution of Differential and Differential-Algebraic Equations.
                  Selected Papers from {NUMDIFF-15}},
  journal      = {J. Comput. Appl. Math.},
  volume       = {387},
  pages        = {112611},
  year         = {2021}
}
@article{DBLP:journals/jcphy/CelledoniJ21,
  author       = {Elena Celledoni and
                  James Jackaman},
  title        = {Discrete conservation laws for finite element discretisations of multisymplectic
                  PDEs},
  journal      = {J. Comput. Phys.},
  volume       = {444},
  pages        = {110520},
  year         = {2021}
}
@article{DBLP:journals/corr/abs-2102-11504,
  author       = {Elena Celledoni and
                  Matthias J. Ehrhardt and
                  Christian Etmann and
                  Brynjulf Owren and
                  Carola{-}Bibiane Sch{\"{o}}nlieb and
                  Ferdia Sherry},
  title        = {Equivariant neural networks for inverse problems},
  journal      = {CoRR},
  volume       = {abs/2102.11504},
  year         = {2021}
}
@article{DBLP:journals/corr/abs-2102-12778,
  author       = {Elena Celledoni and
                  Ergys {\c{C}}okaj and
                  Andrea Leone and
                  Davide Murari and
                  Brynjulf Owren},
  title        = {Lie Group integrators for mechanical systems},
  journal      = {CoRR},
  volume       = {abs/2102.12778},
  year         = {2021}
}
@article{DBLP:journals/corr/abs-2109-12325,
  author       = {Elena Celledoni and
                  Ergys {\c{C}}okaj and
                  Andrea Leone and
                  Davide Murari and
                  Brynjulf Owren},
  title        = {Dynamics of the N-fold Pendulum in the framework of Lie Group Integrators},
  journal      = {CoRR},
  volume       = {abs/2109.12325},
  year         = {2021}
}
@article{DBLP:journals/moc/CelledoniEOR20,
  author       = {Elena Celledoni and
                  S{\o}lve Eidnes and
                  Brynjulf Owren and
                  Torbj{\o}rn Ringholm},
  title        = {Energy-preserving methods on Riemannian manifolds},
  journal      = {Math. Comput.},
  volume       = {89},
  number       = {322},
  pages        = {699--716},
  year         = {2020}
}
@article{DBLP:journals/corr/abs-2006-03364,
  author       = {Elena Celledoni and
                  Matthias J. Ehrhardt and
                  Christian Etmann and
                  Robert I. McLachlan and
                  Brynjulf Owren and
                  Carola{-}Bibiane Sch{\"{o}}nlieb and
                  Ferdia Sherry},
  title        = {Structure preserving deep learning},
  journal      = {CoRR},
  volume       = {abs/2006.03364},
  year         = {2020}
}
@article{DBLP:journals/corr/abs-2009-00102,
  author       = {Elena Celledoni and
                  James Jackaman},
  title        = {Discrete conservation laws for finite element discretisations of multisymplectic
                  PDEs},
  journal      = {CoRR},
  volume       = {abs/2009.00102},
  year         = {2020}
}
@article{DBLP:journals/corr/abs-2012-11561,
  author       = {Helge I. Andersson and
                  Elena Celledoni and
                  Laurel Ohm and
                  Brynjulf Owren and
                  Benjamin K. Tapley},
  title        = {An integral model based on slender body theory, with applications
                  to curved rigid fibers},
  journal      = {CoRR},
  volume       = {abs/2012.11561},
  year         = {2020}
}
@article{DBLP:journals/jns/CelledoniPHD19,
  author       = {Elena Celledoni and
                  Marta Farr{\'{e}} Puiggal{\'{\i}} and
                  Eirik Hoel H{\o}iseth and
                  David Mart{\'{\i}}n de Diego},
  title        = {Energy-Preserving Integrators Applied to Nonholonomic Systems},
  journal      = {J. Nonlinear Sci.},
  volume       = {29},
  number       = {4},
  pages        = {1523--1562},
  year         = {2019}
}
@article{DBLP:journals/na/LiC19,
  author       = {Lu Li and
                  Elena Celledoni},
  title        = {Krylov projection methods for linear Hamiltonian systems},
  journal      = {Numer. Algorithms},
  volume       = {81},
  number       = {4},
  pages        = {1361--1378},
  year         = {2019}
}
@article{DBLP:journals/na/TapleyCOA19,
  author       = {Benjamin K. Tapley and
                  Elena Celledoni and
                  Brynjulf Owren and
                  Helge I. Andersson},
  title        = {A novel approach to rigid spheroid models in viscous flows using operator
                  splitting methods},
  journal      = {Numer. Algorithms},
  volume       = {81},
  number       = {4},
  pages        = {1423--1441},
  year         = {2019}
}
@inproceedings{DBLP:conf/gsi/CelledoniLT19,
  author       = {Elena Celledoni and
                  P{\aa}l Erik Lystad and
                  Nikolas Tapia},
  title        = {Signatures in Shape Analysis: An Efficient Approach to Motion Identification},
  booktitle    = {{GSI}},
  series       = {Lecture Notes in Computer Science},
  volume       = {11712},
  pages        = {21--30},
  publisher    = {Springer},
  year         = {2019}
}
@inproceedings{DBLP:conf/gsi/CelledoniGKS19,
  author       = {Elena Celledoni and
                  Halvor S. Gustad and
                  Nikita Kopylov and
                  Henrik S. Sundklakk},
  title        = {Predicting Bending Moments with Machine Learning},
  booktitle    = {{GSI}},
  series       = {Lecture Notes in Computer Science},
  volume       = {11712},
  pages        = {180--187},
  publisher    = {Springer},
  year         = {2019}
}
@article{DBLP:journals/corr/abs-1904-05657,
  author       = {Martin Benning and
                  Elena Celledoni and
                  Matthias J. Ehrhardt and
                  Brynjulf Owren and
                  Carola{-}Bibiane Sch{\"{o}}nlieb},
  title        = {Deep learning as optimal control problems: models and numerical methods},
  journal      = {CoRR},
  volume       = {abs/1904.05657},
  year         = {2019}
}
@article{DBLP:journals/corr/abs-1906-06406,
  author       = {Elena Celledoni and
                  P{\aa}l Erik Lystad and
                  Nikolas Tapia},
  title        = {Signatures in Shape Analysis: an Efficient Approach to Motion Identification},
  journal      = {CoRR},
  volume       = {abs/1906.06406},
  year         = {2019}
}
@article{DBLP:journals/corr/abs-1907-11936,
  author       = {Benjamin K. Tapley and
                  Helge I. Andersson and
                  Elena Celledoni and
                  Brynjulf Owren},
  title        = {Computational methods for tracking inertial particles in discrete
                  incompressible flows},
  journal      = {CoRR},
  volume       = {abs/1907.11936},
  year         = {2019}
}
@article{DBLP:journals/siamsc/CelledoniEOR18,
  author       = {Elena Celledoni and
                  S{\o}lve Eidnes and
                  Brynjulf Owren and
                  Torbj{\o}rn Ringholm},
  title        = {Dissipative Numerical Schemes on Riemannian Manifolds with Applications
                  to Gradient Flows},
  journal      = {{SIAM} J. Sci. Comput.},
  volume       = {40},
  number       = {6},
  pages        = {A3789--A3806},
  year         = {2018}
}
@article{DBLP:journals/jcam/CelledoniH17,
  author       = {Elena Celledoni and
                  Eirik Hoel H{\o}iseth},
  title        = {The averaged Lagrangian method},
  journal      = {J. Comput. Appl. Math.},
  volume       = {316},
  pages        = {161--174},
  year         = {2017}
}
@inproceedings{DBLP:conf/gsi/CelledoniEES17,
  author       = {Elena Celledoni and
                  S{\o}lve Eidnes and
                  Markus Eslitzbichler and
                  Alexander Schmeding},
  title        = {Shape Analysis on Lie Groups and Homogeneous Spaces},
  booktitle    = {{GSI}},
  series       = {Lecture Notes in Computer Science},
  volume       = {10589},
  pages        = {49--56},
  publisher    = {Springer},
  year         = {2017}
}
@article{DBLP:journals/jscic/CelledoniKV16,
  author       = {Elena Celledoni and
                  Bawfeh Kingsley Kometa and
                  Olivier Verdier},
  title        = {High Order Semi-Lagrangian Methods for the Incompressible Navier-Stokes
                  Equations},
  journal      = {J. Sci. Comput.},
  volume       = {66},
  number       = {1},
  pages        = {91--115},
  year         = {2016}
}
@article{DBLP:journals/corr/CelledoniE15,
  author       = {Elena Celledoni and
                  Markus Eslitzbichler},
  title        = {Shape Analysis on Lie Groups with Applications in Computer Animation},
  journal      = {CoRR},
  volume       = {abs/1506.00783},
  year         = {2015}
}
@article{DBLP:journals/jcphy/CelledoniMO14,
  author       = {Elena Celledoni and
                  H{\aa}kon Marthinsen and
                  Brynjulf Owren},
  title        = {An introduction to Lie group integrators - basics, new developments
                  and applications},
  journal      = {J. Comput. Phys.},
  volume       = {257},
  pages        = {1040--1061},
  year         = {2014}
}
@article{DBLP:journals/moc/CelledoniOS14,
  author       = {Elena Celledoni and
                  Brynjulf Owren and
                  Yajuan Sun},
  title        = {The minimal stage, energy preserving Runge-Kutta method for polynomial
                  Hamiltonian systems is the averaged vector field method},
  journal      = {Math. Comput.},
  volume       = {83},
  number       = {288},
  pages        = {1689--1700},
  year         = {2014}
}
@article{DBLP:journals/jcphy/CelledoniGMMOOQ12,
  author       = {Elena Celledoni and
                  Volker Grimm and
                  Robert I. McLachlan and
                  David I. McLaren and
                  Dion R. J. O'Neale and
                  Brynjulf Owren and
                  G. R. W. Quispel},
  title        = {Preserving energy resp. dissipation in numerical PDEs using the "Average
                  Vector Field" method},
  journal      = {J. Comput. Phys.},
  volume       = {231},
  number       = {20},
  pages        = {6770--6789},
  year         = {2012}
}
@article{DBLP:journals/jcphy/CelledoniK11,
  author       = {Elena Celledoni and
                  Bawfeh Kingsley Kometa},
  title        = {Semi-Lagrangian multistep exponential integrators for index 2 differential-algebraic
                  systems},
  journal      = {J. Comput. Phys.},
  volume       = {230},
  number       = {9},
  pages        = {3413--3429},
  year         = {2011}
}
@article{DBLP:journals/focm/CelledoniMOQ10,
  author       = {Elena Celledoni and
                  Robert I. McLachlan and
                  Brynjulf Owren and
                  G. R. W. Quispel},
  title        = {Energy-Preserving Integrators and the Structure of B-series},
  journal      = {Found. Comput. Math.},
  volume       = {10},
  number       = {6},
  pages        = {673--693},
  year         = {2010}
}
@article{DBLP:journals/toms/CelledoniZ10,
  author       = {Elena Celledoni and
                  Antonella Zanna},
  title        = {Algorithm 903: FRB-Fortran routines for the exact computation of free
                  rigid body motions},
  journal      = {{ACM} Trans. Math. Softw.},
  volume       = {37},
  number       = {2},
  pages        = {23:1--23:24},
  year         = {2010}
}
@article{DBLP:journals/jscic/CelledoniK09,
  author       = {Elena Celledoni and
                  Bawfeh Kingsley Kometa},
  title        = {Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection
                  Dominated Problems},
  journal      = {J. Sci. Comput.},
  volume       = {41},
  number       = {1},
  pages        = {139--164},
  year         = {2009}
}
@article{DBLP:journals/focm/CelledoniCO08,
  author       = {Elena Celledoni and
                  David Cohen and
                  Brynjulf Owren},
  title        = {Symmetric Exponential Integrators with an Application to the Cubic
                  Schr{\"{o}}dinger Equation},
  journal      = {Found. Comput. Math.},
  volume       = {8},
  number       = {3},
  pages        = {303--317},
  year         = {2008}
}
@article{DBLP:journals/mcs/CelledoniF08,
  author       = {Elena Celledoni and
                  Simone G. O. Fiori},
  title        = {Descent methods for optimization on homogeneous manifolds},
  journal      = {Math. Comput. Simul.},
  volume       = {79},
  number       = {4},
  pages        = {1298--1323},
  year         = {2008}
}
@article{DBLP:journals/siamsc/CelledoniFSZ08,
  author       = {Elena Celledoni and
                  Francesco Fass{\`{o}} and
                  Niklas S{\"{a}}fstr{\"{o}}m and
                  Antonella Zanna},
  title        = {The Exact Computation of the Free Rigid Body Motion and Its Use in
                  Splitting Methods},
  journal      = {{SIAM} J. Sci. Comput.},
  volume       = {30},
  number       = {4},
  pages        = {2084--2112},
  year         = {2008}
}
@article{DBLP:journals/fgcs/CelledoniMO03,
  author       = {Elena Celledoni and
                  Arne Marthinsen and
                  Brynjulf Owren},
  title        = {Commutator-free Lie group methods},
  journal      = {Future Gener. Comput. Syst.},
  volume       = {19},
  number       = {3},
  pages        = {341--352},
  year         = {2003}
}
@article{DBLP:journals/na/CelledoniO03,
  author       = {Elena Celledoni and
                  Brynjulf Owren},
  title        = {On the Implementation of Lie Group Methods on the Stiefel Manifold},
  journal      = {Numer. Algorithms},
  volume       = {32},
  number       = {2-4},
  pages        = {163--183},
  year         = {2003}
}
@article{DBLP:journals/jc/CelledoniINO02,
  author       = {Elena Celledoni and
                  Arieh Iserles and
                  Syvert P. N{\o}rsett and
                  Bojan Orel},
  title        = {Complexity Theory for Lie-Group Solvers},
  journal      = {J. Complex.},
  volume       = {18},
  number       = {1},
  pages        = {242--286},
  year         = {2002}
}
@article{DBLP:journals/siamnum/CelledoniO02,
  author       = {Elena Celledoni and
                  Brynjulf Owren},
  title        = {A Class of Intrinsic Schemes for Orthogonal Integration},
  journal      = {{SIAM} J. Numer. Anal.},
  volume       = {40},
  number       = {6},
  pages        = {2069--2084},
  year         = {2002}
}
@article{DBLP:journals/moc/CelledoniI00,
  author       = {Elena Celledoni and
                  Arieh Iserles},
  title        = {Approximating the exponential from a Lie algebra to a Lie group},
  journal      = {Math. Comput.},
  volume       = {69},
  number       = {232},
  pages        = {1457--1480},
  year         = {2000}
}
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