4 papers · 1 filter
A low-rank tensor method to reconstruct sparse initial states for PDEs with Isogeometric Analysis
Alexandra Bünger, Martin Stoll
When working with PDEs the reconstruction of a previous state often proves difficult. Good prior knowledge and fast computational methods are crucial to build a working reconstruct…
A low-rank matrix equation method for solving PDE-constrained optimization problems
Alexandra Bünger, Valeria Simoncini, Martin Stoll
PDE-constrained optimization problems arise in a broad number of applications such as hyperthermia cancer treatment or blood flow simulation. Discretization of the optimization pro…
Solving differential Riccati equations: A nonlinear space-time method using tensor trains
Tobias Breiten, Sergey Dolgov, Martin Stoll
Differential algebraic Riccati equations are at the heart of many applications in control theory. They are time-depent, matrix-valued, and in particular nonlinear equations that re…
A literature survey of matrix methods for data science
Martin Stoll
Efficient numerical linear algebra is a core ingredient in many applications across almost all scientific and industrial disciplines. With this survey we want to illustrate that nu…