3 papers
math.NA2020
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…
math.NA2019
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…
math.OC2019
Optimization of a partial differential equation on a complex network
Martin Stoll, Max Winkler
Differential equations on metric graphs can describe many phenomena in the physical world but also the spread of information on social media. To efficiently compute the solution is…