35 citations · 180 across the 39 of their papers we have counts for
6 papers · 1 filter
A low-rank tensor method for PDE-constrained optimization with isogeometric analysis
Alexandra Bünger, Sergey Dolgov, Martin Stoll
Isogeometric analysis (IGA) has become one of the most popular methods for the discretization of partial differential equations motivated by the use of NURBS for geometric represen…
On the existence and uniqueness of the solution of a parabolic optimal control problem with uncertain inputs
Peter Benner, Akwum Onwunta, Martin Stoll
In this note, we consider the existence and uniqueness of the solution of a time-dependent optimal control problem constrained by a partial differential equation with uncertain inp…
Node Classification for Signed Social Networks Using Diffuse Interface Methods
Pedro Mercado, Jessica Bosch, Martin Stoll
Signed networks contain both positive and negative kinds of interactions like friendship and enmity. The task of node classification in non-signed graphs has proven to be beneficia…
NFFT meets Krylov methods: Fast matrix-vector products for the graph Laplacian of fully connected networks
Dominik Alfke, Daniel Potts, Martin Stoll +1
The graph Laplacian is a standard tool in data science, machine learning, and image processing. The corresponding matrix inherits the complex structure of the underlying network an…
Efficient Numerical Methods for Gas Network Modeling and Simulation
Yue Qiu, Sara Grundel, Martin Stoll +1
We study the modeling and simulation of gas pipeline networks, with a focus on fast numerical methods for the simulation of transient dynamics. The obtained mathematical model of t…
Fast iterative solvers for an optimal transport problem
Roland Herzog, John W. Pearson, Martin Stoll
Optimal transport problems pose many challenges when considering their numerical treatment. We investigate the solution of a PDE-constrained optimisation problem subject to a parti…