Elena Celledoni
#105,836
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Italian mathematician
Elena Celledoni's AcademicInfluence.com Rankings
Elena Celledonimathematics Degrees
Mathematics
#6202
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#8636
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Applied Mathematics
#477
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#509
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Measure Theory
#3887
World Rank
#4581
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Mathematics
Why Is Elena Celledoni Influential?
(Suggest an Edit or Addition)According to Wikipedia, Elena Celledoni is an Italian mathematician who works in Norway as a professor of mathematical sciences at the Norwegian University of Science and Technology . Her research involves the numerical analysis of numerical algorithms for partial differential equations and for Lie group computations, including the study of structure preserving algorithms.
Elena Celledoni's Published Works
Number of citations in a given year to any of this author's works
Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author
Published Works
- Lie group methods (2009) (322)
- Preserving energy resp. dissipation in numerical PDEs using the "Average Vector Field" method (2012) (255)
- Energy-preserving Runge-Kutta methods (2009) (122)
- Commutator-free Lie group methods (2003) (106)
- Symmetric Exponential Integrators with an Application to the Cubic Schrödinger Equation (2008) (104)
- Approximating the exponential from a Lie algebra to a Lie group (2000) (99)
- Methods for the approximation of the matrix exponential in a Lie‐algebraic setting (1999) (93)
- Lie group methods for rigid body dynamics and time integration on manifolds (2003) (84)
- An introduction to Lie group integrators - basics, new developments and applications (2012) (76)
- Energy-Preserving Integrators and the Structure of B-series (2010) (74)
- Geometric properties of Kahan's method (2012) (67)
- Deep learning as optimal control problems: models and numerical methods (2019) (59)
- A Krylov projection method for systems of ODEs (1997) (50)
- Integrability properties of Kahanʼs method (2014) (43)
- A Class of Intrinsic Schemes for Orthogonal Integration (2002) (39)
- Semi-Lagrangian Runge-Kutta Exponential Integrators for Convection Dominated Problems (2009) (35)
- Neural learning by geometric integration of reduced 'rigid-body' equations (2004) (34)
- Shape Analysis on Lie Groups with Applications in Computer Animation (2015) (34)
- The Exact Computation of the Free Rigid Body Motion and Its Use in Splitting Methods (2008) (32)
- Efficient time-symmetric simulation of torqued rigid bodies using Jacobi elliptic functions (2006) (30)
- The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the averaged vector field method (2012) (29)
- On the Implementation of Lie Group Methods on the Stiefel Manifold (2003) (29)
- Structure-preserving deep learning (2020) (27)
- Discretization of polynomial vector fields by polarization (2015) (26)
- High Order Semi-Lagrangian Methods for the Incompressible Navier–Stokes Equations (2012) (22)
- Eulerian and semi-Lagrangian schemes based on commutator-free exponential integrators (2005) (21)
- A Hamiltonian and multi-Hamiltonian formulation of a rod model using quaternions (2010) (21)
- Descent methods for optimization on homogeneous manifolds (2008) (19)
- Parallelization in time for thermo‐viscoplastic problems in extrusion of aluminium (2009) (17)
- Using discrete Darboux polynomials to detect and determine preserved measures and integrals of rational maps (2019) (16)
- Energy-preserving methods on Riemannian manifolds (2018) (13)
- Energy-Preserving and Passivity-Consistent Numerical Discretization of Port-Hamiltonian Systems (2017) (13)
- Preserving first integrals with symmetric Lie group methods (2013) (12)
- Energy-Preserving Integrators Applied to Nonholonomic Systems (2016) (12)
- Equivariant neural networks for inverse problems (2021) (12)
- Complexity Theory for Lie-Group Solvers (2002) (11)
- Geometric and integrability properties of Kahan’s method: the preservation of certain quadratic integrals (2018) (11)
- Algorithm 903: FRB--Fortran routines for the exact computation of free rigid body motions (2010) (10)
- Dissipative Numerical Schemes on Riemannian Manifolds with Applications to Gradient Flows (2018) (10)
- Three classes of quadratic vector fields for which the Kahan discretisation is the root of a generalised Manin transformation (2018) (9)
- Learning Hamiltonians of constrained mechanical systems (2022) (9)
- Lie group integrators for mechanical systems (2021) (9)
- Detecting and determining preserved measures and integrals of birational maps (2019) (7)
- Shape Analysis on Homogeneous Spaces: A Generalised SRVT Framework (2016) (7)
- An integral model based on slender body theory, with applications to curved rigid fibers (2020) (7)
- A novel approach to rigid spheroid models in viscous flows using operator splitting methods (2018) (6)
- Dissipative Schemes on Riemannian manifolds (2018) (6)
- A Class of Low Complexity Intrinsic Schemes for Orthogonal Integration (2001) (6)
- Semi-Lagrangian multistep exponential integrators for index 2 differential-algebraic systems (2011) (6)
- Shape analysis on homogeneous spaces (2017) (6)
- Two classes of quadratic vector fields for which the Kahan discretization is integrable (2017) (5)
- A note on the numerical integration of the KdV equation via isospectral deformations (2001) (5)
- Discrete QMR and BCG in the numerical solution of linear systems of ODEs (1998) (4)
- A slender body model for thin rigid fibers: validation and comparisons (2019) (4)
- Deep learning as optimal control problems (2021) (4)
- Signatures in Shape Analysis: an Efficient Approach to Motion Identification (2019) (4)
- Shape Analysis on Lie Groups and Homogeneous Spaces (2017) (4)
- Order conditions for the semi-Lagrangian exponential integrators (2009) (4)
- Passivity-preserving splitting methods for rigid body systems (2014) (3)
- A symmetric splitting method for rigid body dynamics (2006) (3)
- Computational geometric methods for preferential clustering of particle suspensions (2022) (3)
- The averaged Lagrangian method (2017) (3)
- Discrete Darboux polynomials and the search for preserved measures and integrals of rational maps (2019) (3)
- Deep learning of diffeomorphisms for optimal reparametrizations of shapes (2022) (3)
- Symmetric exponential integrators for the cubic Schrödinger equation (2006) (3)
- Using aromas to search for preserved measures and integrals in Kahan's method (2022) (2)
- Numerical solution of differential and differential-algebraic equations (2023) (2)
- Research data supporting "Deep learning as optimal control problems" (2019) (2)
- On conjugate B-series and their geometric structure (2010) (2)
- Special Issue: Advances in Computational Dynamics (2003) (1)
- Discrete conservation laws for finite element discretisations of multisymplectic PDEs (2020) (1)
- Krylov projection methods for linear Hamiltonian systems (2018) (1)
- Dynamics of the N-fold Pendulum in the framework of Lie Group Integrators (2021) (1)
- Computational methods for tracking inertial particles in discrete incompressible flows (2019) (1)
- Hamiltonian and multi-symplectic structure of a rod model using quaternions. (2009) (1)
- Dynamical systems' based neural networks (2022) (1)
- Hamiltonian and multi-symplectic formulation of a rod model using quaternions (2009) (1)
- Passivity-preserving splitting methods for controlled, input-output passive rigid body systems (2014) (1)
- MA8404-Notes on IMEX methods and exponential integrators (2009) (1)
- Structure of B‐series for Some Classes of Geometric Integrators (2009) (1)
- Lie Group Techniques for Neural Learning (2005) (0)
- Semi-Lagrangian exponential integrators for the incompressible Navier-Stokes equations (2011) (0)
- Predicting Bending Moments with Machine Learning (2019) (0)
- An Elastic Rod Model and its Hamiltonian Structure (2009) (0)
- Numerical Solution of Differential and Differential-Algebraic Equations. Selected Papers from NUMDIFF-15 (2021) (0)
- norges teknisk-naturvitenskapelige universitet Semi-Lagrangian exponential integrators for the incompressible Navier-Stokes equations (2011) (0)
- Recent Advances on Theory and Applications of Semi-Lagrangian Methods (2011) (0)
- High Order Semi-Lagrangian Methods for the Incompressible Navier–Stokes Equations (2015) (0)
- Geometric Numerical Integration 871 Workshop : Geometric Numerical Integration Table of Contents (2016) (0)
- Exact computation of the solution of the free rigid body with applications (2007) (0)
- Parallelisation of a CFD code: the use of Aztec library in the parallel numerical simulation of Extrusion of Aluminium (2001) (0)
- BSDEs with default jump (2020) (0)
- Geometric methods for differential equations in applications of computer animation (2015) (0)
- Special issue dedicated to Arieh Iserles on the occasion of his 65th birthday (2013) (0)
- Symplectic integration with Runge-Kutta methods, AARMS summer school 2015 (2015) (0)
- norges teknisk-naturvitenskapelige universitet On conjugate B-series and their geometric structure by (2010) (0)
- Energy-Preserving Integrators Applied to Nonholonomic Systems (2019) (0)
- Preface of the “Symposium on structure-preserving numerical methods for differential equations” (2012) (0)
- Splitting methods for controlled vessel offshore operations (2015) (0)
- Symplectic Lanczos and Arnoldi Method for Solving Linear Hamiltonian Systems: Preservation of Energy and Other Invariants (2016) (0)
- A PDE Model for Estimating the Life Time of a Riser (2019) (0)
- Preface Special issue in honor of Reinout Quispel (2019) (0)
- Splitting methods for controlled vessel marine operations (2014) (0)
- Structure preserving neural networks based on ODEs (2022) (0)
- A novel approach to rigid spheroid models in viscous flows using operator splitting methods (2019) (0)
- Krylov projection methods for linear Hamiltonian systems (2019) (0)
- Predictions Based on Pixel Data: Insights from PDEs and Finite Differences (2023) (0)
- Passivity-preserving splitting methods for rigid body systems (2018) (0)
- Preface of the “Symposium on structure-preserving integrators for differential equations” (2015) (0)
- ENERGY PRESERVATION (DISSIPATION) IN NUMERICAL ODEs and PDEs (2015) (0)
- Energy-preserving methods and B-series. (2008) (0)
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