Research interests of Antonella Zanna
My main research interest is the numerical integration of Ordinary Differential Equations, with particular attention to their "geometrical" attributes. More specifically:
- Integration of Isospectral Flows with/without spectral parameter preserving the integrals of motions
- Lie-group methods and application of those to integration of Homogeneous manifolds
- Application of symmetric spaces in Numerical Analysis
- Symplectic systems and Hamiltonian Dynamics
- Approximation of exponentials and similar linear algebra problems
- Cayley, Magnus, Fer and related expansions
- Application to molecular biology, linear algebra, partial differential equations
Some lectures
Computation of the matrix exponential by generalized polar
decompositions, Lecture 4 of a course on the computation of the
matrix exponential held in Bari, 22 Nov--6 Dec 2003.
Lie-group
Methods, three lectures presented at the Durham Symposium 2000
The discrete
Moser--Veselov algorithm for the free rigid body, revisited
, GI seminar, Bergen, November 03.
An explicit, completely integrable, second-order method for
the 3x3 rigid body, Cambridge workshop in Geometric
Integration, May 2003.
On the spectral properties of some matrices generated by
involutive automorphisms MaGIC03, Rondablikk
Efficient computation of the matrix exponential by Generalized
Polar Decompositions, Ljubljana Feb 03, FoCM02 Minneapolis.
Papers
Check out here the list of my publications.
Co-authors
PhD Thesis
Gzipped version of my dissertation "On the Numerical Solution
of Isospectral Flows", Cambridge, April 1998. Supervisor: Arieh Iserles, DAMTP.
Other related links:
- Check out the NA group in Cambridge and their technical reports.
- The SYNODE home-page
- By the way -- since lately I was interested in Lie groups, I have thought that it is very appropriate to put a link to Sophus Lie home page.
- My cv, curriculum vitae