Harbrecht, Helmut; Kalmykov, Ilja Sparse grid approximation of the Riccati operator for closed loop parabolic control problems with Dirichlet boundary control. (English) Zbl 1480.49005 SIAM J. Control Optim. 59, No. 6, 4538-4562 (2021). MSC: 49J20 65M60 65Y20 49N10 49N35 PDFBibTeX XMLCite \textit{H. Harbrecht} and \textit{I. Kalmykov}, SIAM J. Control Optim. 59, No. 6, 4538--4562 (2021; Zbl 1480.49005) Full Text: DOI
Breiten, Tobias; Stykel, Tatjana Balancing-related model reduction methods. (English) Zbl 1505.93028 Benner, Peter (ed.) et al., Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 15-56 (2021). MSC: 93B11 65F45 93C80 PDFBibTeX XMLCite \textit{T. Breiten} and \textit{T. Stykel}, in: Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 15--56 (2021; Zbl 1505.93028) Full Text: DOI
Lazar, Martin; Weston, Jerome Greedy algorithm for parameter dependent operator Lyapunov equations. (English) Zbl 1478.93278 Syst. Control Lett. 154, Article ID 104968, 11 p. (2021). MSC: 93C20 93C35 93C25 PDFBibTeX XMLCite \textit{M. Lazar} and \textit{J. Weston}, Syst. Control Lett. 154, Article ID 104968, 11 p. (2021; Zbl 1478.93278) Full Text: DOI
Uy, Wayne Isaac Tan; Peherstorfer, Benjamin Probabilistic error estimation for non-intrusive reduced models learned from data of systems governed by linear parabolic partial differential equations. (English) Zbl 1480.65269 ESAIM, Math. Model. Numer. Anal. 55, No. 3, 735-761 (2021). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 62G15 65C05 65M15 65K10 PDFBibTeX XMLCite \textit{W. I. T. Uy} and \textit{B. Peherstorfer}, ESAIM, Math. Model. Numer. Anal. 55, No. 3, 735--761 (2021; Zbl 1480.65269) Full Text: DOI arXiv
Peherstorfer, Benjamin Sampling low-dimensional Markovian dynamics for preasymptotically recovering reduced models from data with operator inference. (English) Zbl 1456.65120 SIAM J. Sci. Comput. 42, No. 5, A3489-A3515 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M99 68T05 68T10 65P99 PDFBibTeX XMLCite \textit{B. Peherstorfer}, SIAM J. Sci. Comput. 42, No. 5, A3489--A3515 (2020; Zbl 1456.65120) Full Text: DOI arXiv
Alla, Alessandro; Haasdonk, Bernard; Schmidt, Andreas Feedback control of parametrized PDEs via model order reduction and dynamic programming principle. (English) Zbl 1441.49031 Adv. Comput. Math. 46, No. 1, Paper No. 9, 28 p. (2020). Reviewer: Svetlana A. Kravchenko (Minsk) MSC: 49N35 49L20 49M25 49M27 93B52 PDFBibTeX XMLCite \textit{A. Alla} et al., Adv. Comput. Math. 46, No. 1, Paper No. 9, 28 p. (2020; Zbl 1441.49031) Full Text: DOI arXiv
Schmidt, Andreas; Wittwar, Dominik; Haasdonk, Bernard Rigorous and effective a-posteriori error bounds for nonlinear problems – application to RB methods. (English) Zbl 07188452 Adv. Comput. Math. 46, No. 2, Paper No. 32, 30 p. (2020). MSC: 65J15 65L70 PDFBibTeX XMLCite \textit{A. Schmidt} et al., Adv. Comput. Math. 46, No. 2, Paper No. 32, 30 p. (2020; Zbl 07188452) Full Text: DOI
Son, Nguyen Thanh; Stykel, Tatjana Solving parameter-dependent Lyapunov equations using the reduced basis method with application to parametric model order reduction. (English) Zbl 1367.65066 SIAM J. Matrix Anal. Appl. 38, No. 2, 478-504 (2017). MSC: 65F30 15A24 PDFBibTeX XMLCite \textit{N. T. Son} and \textit{T. Stykel}, SIAM J. Matrix Anal. Appl. 38, No. 2, 478--504 (2017; Zbl 1367.65066) Full Text: DOI