12 citations · 15 across the 2 of their papers we have counts for
3 papers
math.NA2019★ 3 cited
Invariant Galerkin Ansatz Spaces and Davison-Maki Methods for the Numerical Solution of Differential Riccati Equations
Maximilian Behr, Peter Benner, Jan Heiland
The differential Riccati equation appears in different fields of applied mathematics like control and system theory. Recently Galerkin methods based on Krylov subspaces were develo…
math.NA2018
Solution Formulas for Differential Sylvester and Lyapunov Equations
Maximilian Behr, Peter Benner, Jan Heiland
The differential Sylvester equation and its symmetric version, the differential Lyapunov equation, appear in different fields of applied mathematics like control theory, system the…
cs.MS2017★ 12 cited
Example Setups of Navier-Stokes Equations with Control and Observation: Spatial Discretization and Representation via Linear-quadratic Matrix Coefficients
Maximilian Behr, Peter Benner, Jan Heiland
We provide spatial discretizations of nonlinear incompressible Navier-Stokes equations with inputs and outputs in the form of matrices ready to use in any numerical linear algebra…