Department of Mathematics
Fine Hall, Washington Road
Princeton NJ 08544-1000
Phone: +1 609 258 5790
Fax: +1 609 258 1735
Numerical analysis, in particular:
High-dimensional PDEs: low-rank matrix and tensor techniques, multilevel preconditioning, model-order reduction.
Computational differential geometry: optimization on manifolds, matrix means, geometry of matrix and tensor spaces, manifold learning.
Numerical linear algebra: pseudospectra, low-rank tensors, numerics of PDEs.
Fall 2014: MAT321 Numerical Methods
Spring 2014: MAT321 Numerical Methods
Fall 2013: MAT203 Advanced Vector Calculus
Spring 2013: MAT202 Introduction to Linear Algebra
Fall 2012: MAT321 Numerical Methods
Low-rank tensor completion by Riemannian optimization
with D. Kressner and M. Steinlechner
A Riemannian optimization approach for computing low-rank solutions of Lyapunov equations
with S. Vandewalle
→ Awarded the 15th Leslie Fox Prize in Numerical Analysis (second place) and the SIAM Outstanding Paper Prize.
The smoothed spectral abscissa for robust stability optimization
with J. Vanbiervliet, W. Michiels, S. Vandewalle, and M. Diehl
Riemannian and multilevel optimization for rank-constrained matrix problems
PhD thesis (December 2010)
→ Awarded the Alston S. Householder Award XIV
Python code for the paper Time integration of tensor trains: soon available.
MATLAB code for the paper A Riemannian approach to low-rank algebraic Riccati equations: see here.
MATLAB code for the paper Subspace methods for computing the pseudospectral abscissa and the stability radius: see here.
MATLAB code for the paper The geometry of algorithms using hierarchical tensors: see here.
MATLAB code for the paper Low-rank matrix completion by Riemannian optimization: see here.
MATLAB code for the paper Low-rank tensor completion by Riemannian optimization: see here.