Kürschner, Patrick; Freitag, Melina A. Inexact methods for the low rank solution to large scale Lyapunov equations. (English) Zbl 1455.65050 BIT 60, No. 4, 1221-1259 (2020). MSC: 65F45 15A24 65F55 PDFBibTeX XMLCite \textit{P. Kürschner} and \textit{M. A. Freitag}, BIT 60, No. 4, 1221--1259 (2020; Zbl 1455.65050) Full Text: DOI arXiv
Kuehn, Christian; Kürschner, Patrick Combined error estimates for local fluctuations of SPDEs. (English) Zbl 07189697 Adv. Comput. Math. 46, No. 1, Paper No. 11, 25 p. (2020). MSC: 65C30 65M99 60H15 35R60 37M99 15A24 PDFBibTeX XMLCite \textit{C. Kuehn} and \textit{P. Kürschner}, Adv. Comput. Math. 46, No. 1, Paper No. 11, 25 p. (2020; Zbl 07189697) Full Text: DOI arXiv
Kürschner, Patrick Balanced truncation model order reduction in limited time intervals for large systems. (English) Zbl 1453.65093 Adv. Comput. Math. 44, No. 6, 1821-1844 (2018). MSC: 65F60 15A16 15A24 93B11 PDFBibTeX XMLCite \textit{P. Kürschner}, Adv. Comput. Math. 44, No. 6, 1821--1844 (2018; Zbl 1453.65093) Full Text: DOI arXiv
Benner, Peter; Kürschner, Patrick; Saak, Jens Low-rank Newton-ADI methods for large nonsymmetric algebraic Riccati equations. (English) Zbl 1336.93056 J. Franklin Inst. 353, No. 5, 1147-1167 (2016). MSC: 93B40 93C15 93A15 65F10 PDFBibTeX XMLCite \textit{P. Benner} et al., J. Franklin Inst. 353, No. 5, 1147--1167 (2016; Zbl 1336.93056) Full Text: DOI
Benner, Peter; Kürschner, Patrick Computing real low-rank solutions of Sylvester equations by the factored ADI method. (English) Zbl 1364.65093 Comput. Math. Appl. 67, No. 9, 1656-1672 (2014). MSC: 65F30 15A24 65F10 PDFBibTeX XMLCite \textit{P. Benner} and \textit{P. Kürschner}, Comput. Math. Appl. 67, No. 9, 1656--1672 (2014; Zbl 1364.65093) Full Text: DOI
Benner, Peter; Kürschner, Patrick; Saak, Jens An improved numerical method for balanced truncation for symmetric second-order systems. (English) Zbl 1305.93043 Math. Comput. Model. Dyn. Syst. 19, No. 6, 593-615 (2013). MSC: 93B11 93B40 93C15 93C05 PDFBibTeX XMLCite \textit{P. Benner} et al., Math. Comput. Model. Dyn. Syst. 19, No. 6, 593--615 (2013; Zbl 1305.93043) Full Text: DOI
Nowakowski, Christine; Kürschner, Patrick; Eberhard, Peter; Benner, Peter Model reduction of an elastic crankshaft for elastic multibody simulations. (English) Zbl 1275.70005 ZAMM, Z. Angew. Math. Mech. 93, No. 4, 198-216 (2013). MSC: 70E55 65L99 PDFBibTeX XMLCite \textit{C. Nowakowski} et al., ZAMM, Z. Angew. Math. Mech. 93, No. 4, 198--216 (2013; Zbl 1275.70005) Full Text: DOI
Benner, Peter; Kürschner, Patrick; Saak, Jens Efficient handling of complex shift parameters in the low-rank Cholesky factor ADI method. (English) Zbl 1267.65047 Numer. Algorithms 62, No. 2, 225-251 (2013). Reviewer: R. P. Tewarson (Stony Brook) MSC: 65F30 65F10 15A24 65F50 PDFBibTeX XMLCite \textit{P. Benner} et al., Numer. Algorithms 62, No. 2, 225--251 (2013; Zbl 1267.65047) Full Text: DOI