Benner, Peter; Heiland, Jan; Werner, Steffen W. R. A low-rank solution method for Riccati equations with indefinite quadratic terms. (English) Zbl 1506.65063 Numer. Algorithms 92, No. 2, 1083-1103 (2023). MSC: 65F45 65F50 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Algorithms 92, No. 2, 1083--1103 (2023; Zbl 1506.65063) Full Text: DOI arXiv
Benner, Peter; Goyal, Pawan; Heiland, Jan; Duff, Igor Pontes Operator inference and physics-informed learning of low-dimensional models for incompressible flows. (English) Zbl 1505.76072 ETNA, Electron. Trans. Numer. Anal. 56, 28-51 (2022). MSC: 76M99 76D05 76D25 68T05 PDFBibTeX XMLCite \textit{P. Benner} et al., ETNA, Electron. Trans. Numer. Anal. 56, 28--51 (2022; Zbl 1505.76072) Full Text: DOI arXiv
Benner, Peter; Heiland, Jan; Werner, Steffen W. R. Robust output-feedback stabilization for incompressible flows using low-dimensional \(\mathcal{H}_{\infty}\)-controllers. (English) Zbl 1490.93102 Comput. Optim. Appl. 82, No. 1, 225-249 (2022). MSC: 93D15 93B36 93C20 35Q30 76D55 PDFBibTeX XMLCite \textit{P. Benner} et al., Comput. Optim. Appl. 82, No. 1, 225--249 (2022; Zbl 1490.93102) Full Text: DOI arXiv
Behr, Maximilian; Benner, Peter; Heiland, Jan Galerkin trial spaces and Davison-Maki methods for the numerical solution of differential Riccati equations. (English) Zbl 1510.65168 Appl. Math. Comput. 410, Article ID 126401, 28 p. (2021). MSC: 65L60 15A24 PDFBibTeX XMLCite \textit{M. Behr} et al., Appl. Math. Comput. 410, Article ID 126401, 28 p. (2021; Zbl 1510.65168) Full Text: DOI
Baumann, Manuel; Benner, Peter; Heiland, Jan Space-time Galerkin POD with application in optimal control of semilinear partial differential equations. (English) Zbl 1392.35323 SIAM J. Sci. Comput. 40, No. 3, A1611-A1641 (2018). MSC: 35Q93 65L60 49M25 65M22 93C20 PDFBibTeX XMLCite \textit{M. Baumann} et al., SIAM J. Sci. Comput. 40, No. 3, A1611--A1641 (2018; Zbl 1392.35323) Full Text: DOI arXiv
Ahmad, Mian Ilyas; Benner, Peter; Goyal, Pawan; Heiland, Jan Moment-matching based model reduction for Navier-Stokes type quadratic-bilinear descriptor systems. (English) Zbl 07775416 ZAMM, Z. Angew. Math. Mech. 97, No. 10, 1252-1267 (2017). MSC: 93Cxx 93Bxx 76Dxx PDFBibTeX XMLCite \textit{M. I. Ahmad} et al., ZAMM, Z. Angew. Math. Mech. 97, No. 10, 1252--1267 (2017; Zbl 07775416) Full Text: DOI
Fehr, Jörg; Heiland, Jan; Himpe, Christian; Saak, Jens Best practices for replicability, reproducibility and reusability of computer-based experiments exemplified by model reduction software. (English) Zbl 07129995 AIMS Math. 1, No. 3, 261-281 (2016). MSC: 65-XX 68-XX PDFBibTeX XMLCite \textit{J. Fehr} et al., AIMS Math. 1, No. 3, 261--281 (2016; Zbl 07129995) Full Text: DOI arXiv
Heiland, Jan A differential-algebraic Riccati equation for applications in flow control. (English) Zbl 1335.49006 SIAM J. Control Optim. 54, No. 2, 718-739 (2016). MSC: 49J15 49J21 49M30 34H05 PDFBibTeX XMLCite \textit{J. Heiland}, SIAM J. Control Optim. 54, No. 2, 718--739 (2016; Zbl 1335.49006) Full Text: DOI Link
Baumann, Manuel; Heiland, Jan; Schmidt, Michael Discrete input/output maps and their relation to proper orthogonal decomposition. (English) Zbl 1327.65119 Benner, Peter (ed.) et al., Numerical algebra, matrix theory, differential-algebraic equations and control theory. Festschrift in honor of Volker Mehrmann. Cham: Springer (ISBN 978-3-319-15259-2/hbk; 978-3-319-15260-8/ebook). 585-608 (2015). MSC: 65K10 PDFBibTeX XMLCite \textit{M. Baumann} et al., in: Numerical algebra, matrix theory, differential-algebraic equations and control theory. Festschrift in honor of Volker Mehrmann. Cham: Springer. 585--608 (2015; Zbl 1327.65119) Full Text: DOI
Heiland, J.; Mehrmann, V. Distributed control of linearized Navier-Stokes equations via discretized input/output maps. (English) Zbl 1238.93025 ZAMM, Z. Angew. Math. Mech. 92, No. 4, 257-274 (2012). MSC: 93B11 76D05 93C20 65M15 PDFBibTeX XMLCite \textit{J. Heiland} and \textit{V. Mehrmann}, ZAMM, Z. Angew. Math. Mech. 92, No. 4, 257--274 (2012; Zbl 1238.93025) Full Text: DOI