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BibTeX records: Elena Celledoni
@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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