Background and activities
Elena Celledoni has been employed at the Department of Mathematical Sciences since 2004. She is a professor of mathematics since 2009. She is a member of the group of differential equations and numerical analysis.
She received her Master degree in mathematics from the University of Trieste in 1993, and her Ph.D in computational mathematics from the University of Padua, Italy, 1997. She held post doc positions at the University of Cambridge, UK, at the
Mathematical Sciences Research Institute, Berkeley, California and at NTNU.
Her research field is in numerical analysis and in particular structure preserving algorithms for differential equations and geometric numerical integration.
Scientific, academic and artistic work
A selection of recent journal publications, artistic productions, books, including book and report excerpts. See all publications in the database
- (2018) Dissipative numerical schemes on Riemannian manifolds with applications to gradient flows. arXiv.org.
- (2018) Energy preserving methods on Riemannian manifolds. arXiv.org.
- (2018) Passivity-preserving splitting methods for rigid body systems. Multibody system dynamics.
- (2017) Shape analysis on Lie groups and homogeneous manifolds. Proceedings of the GSI conference 2017.
- (2017) Shape analysis on lie groups and homogeneous spaces. Lecture Notes in Computer Science. vol. 10589 LNCS.
- (2017) Shape analysis on homogeneous spaces. arXiv.org.
- (2017) Energy-Preserving and Passivity-Consistent Numerical Discretization of Port-Hamiltonian Systems. arXiv.org.
- (2016) Shape analysis on Lie groups with application in computer animation. Journal of Geometric Mechanics (JGM). vol. 8 (3).
- (2016) The averaged Lagrangian method. Journal of Computational and Applied Mathematics. vol. 316.
- (2016) High Order Semi-Lagrangian Methods for the Incompressible Navier–Stokes Equations. Journal of Scientific Computing. vol. 66 (1).
- (2016) Two classes of quadratic vector fields for which the Kahan discretization is integrable. MI Lecture Note, Kyushu University. vol. 74.
- (2016) Two classes of quadratic vector fields for which the Kahan discretization is completely integrable MI Lecture Note Vol.74 : Kyushu University. MI Lecture Note, Kyushu University. vol. 74.
- (2015) Discretization of polynomial vector fields by polarization. Proceedings of the Royal Society. Mathematical, Physical and Engineering Sciences. vol. 471:20150390.
- (2015) Splitting methods for controlled vessel offshore operations. AIP Conference Proceedings. vol. 1648.
- (2014) An introduction to Lie group integrators - basics, new developments and applications. Journal of Computational Physics. vol. 257, Part B.
- (2014) Integrability properties of Kahanʼs method. Journal of Physics A: Mathematical and Theoretical. vol. 47 (36).
- (2014) Preserving first integrals with symmetric Lie group methods. Discrete and Continuous Dynamical Systems. vol. 34 (3).
- (2014) The minimal stage, energy preserving Runge-Kutta method for polynomial Hamiltonian systems is the Averaged Vector Field method. Mathematics of Computation. vol. 83 (288).
- (2013) Geometric properties of Kahan's method. Journal of Physics A: Mathematical and Theoretical. vol. 46 (2).
- (2012) Preserving energy resp. dissipation in numerical PDEs using the ‘‘Average Vector Field’’ method. Journal of Computational Physics. vol. 231 (20).