Diaz, Alejandro N.; Heinkenschloss, Matthias; Gosea, Ion Victor; Antoulas, Athanasios C. Interpolatory model reduction of quadratic-bilinear dynamical systems with quadratic-bilinear outputs. (English) Zbl 07785141 Adv. Comput. Math. 49, No. 6, Paper No. 95, 28 p. (2023). MSC: 65P99 PDFBibTeX XMLCite \textit{A. N. Diaz} et al., Adv. Comput. Math. 49, No. 6, Paper No. 95, 28 p. (2023; Zbl 07785141) Full Text: DOI
Heinkenschloss, Matthias; Magruder, Caleb Reduced order model Hessian approximations in Newton methods for optimal control. (English) Zbl 1504.93041 Beattie, Christopher (ed.) et al., Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 335-351 (2022). MSC: 93B11 93A15 49M15 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{C. Magruder}, in: Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 335--351 (2022; Zbl 1504.93041) Full Text: DOI
Diaz, Alejandro N.; Heinkenschloss, Matthias Towards data-driven model reduction of the Navier-Stokes equations using the Loewner framework. (English) Zbl 1505.76073 King, Rudibert (ed.) et al., Active flow and combustion control 2021. Papers contributed to the conference, Berlin, Germany, September 28–29, 2021. Cham: Springer. Notes Numer. Fluid Mech. Multidiscip. Des. 152, 225-239 (2022). MSC: 76M99 76D05 PDFBibTeX XMLCite \textit{A. N. Diaz} and \textit{M. Heinkenschloss}, Notes Numer. Fluid Mech. Multidiscip. Des. 152, 225--239 (2022; Zbl 1505.76073) Full Text: DOI
Antoulas, Athanasios C.; Gosea, Ion Victor; Heinkenschloss, Matthias Data-driven model reduction for a class of semi-explicit DAEs using the Loewner framework. (English) Zbl 1453.65199 Reis, Timo (ed.) et al., Progress in differential-algebraic equations II. Proceedings of the 9th workshop on descriptor systems, Paderborn, Germany, March 17–20, 2019. Cham: Springer. Differ.-Algebr. Equ. Forum, 185-210 (2020). MSC: 65L80 34A09 PDFBibTeX XMLCite \textit{A. C. Antoulas} et al., in: Progress in differential-algebraic equations II. Proceedings of the 9th workshop on descriptor systems, Paderborn, Germany, March 17--20, 2019. Cham: Springer. 185--210 (2020; Zbl 1453.65199) Full Text: DOI
Benner, Peter; Heinkenschloss, Matthias; Saak, Jens; Weichelt, Heiko K. Efficient solution of large-scale algebraic Riccati equations associated with index-2 DAEs via the inexact low-rank Newton-ADI method. (English) Zbl 1462.76142 Appl. Numer. Math. 152, 338-354 (2020). MSC: 76M99 76D05 PDFBibTeX XMLCite \textit{P. Benner} et al., Appl. Numer. Math. 152, 338--354 (2020; Zbl 1462.76142) Full Text: DOI arXiv
Heinkenschloss, Matthias; Jando, Dörte Sequential reduced-order modeling for time-dependent optimization problems with initial value controls. (English) Zbl 1419.49036 Keiper, Winfried (ed.) et al., Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 73-98 (2018). MSC: 49M05 65F10 65F15 49N10 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{D. Jando}, in: Reduced-order modeling (ROM) for simulation and optimization. Powerful algorithms as key enablers for scientific computing. Cham: Springer. 73--98 (2018; Zbl 1419.49036) Full Text: DOI
Heinkenschloss, Matthias; Kramer, Boris; Takhtaganov, Timur; Willcox, Karen Conditional-value-at-risk estimation via reduced-order models. (English) Zbl 1405.35263 SIAM/ASA J. Uncertain. Quantif. 6, 1395-1423 (2018). MSC: 35R60 62H12 91G60 91G80 65Y20 91B30 PDFBibTeX XMLCite \textit{M. Heinkenschloss} et al., SIAM/ASA J. Uncertain. Quantif. 6, 1395--1423 (2018; Zbl 1405.35263) Full Text: DOI
Heinkenschloss, Matthias; Jando, Dörte Reduced order modeling for time-dependent optimization problems with initial value controls. (English) Zbl 1386.49041 SIAM J. Sci. Comput. 40, No. 1, A22-A51 (2018). MSC: 49M05 65F10 65F15 93A15 PDFBibTeX XMLCite \textit{M. Heinkenschloss} and \textit{D. Jando}, SIAM J. Sci. Comput. 40, No. 1, A22--A51 (2018; Zbl 1386.49041) Full Text: DOI
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Linsenmann, Christopher; Wixforth, Achim Reduced order modeling based shape optimization of surface acoustic wave driven microfluidic biochips. (English) Zbl 1252.76099 Math. Comput. Simul. 82, No. 10, 1986-2003 (2012). MSC: 76Z99 49M05 65K10 65M55 65M60 90C06 PDFBibTeX XMLCite \textit{H. Antil} et al., Math. Comput. Simul. 82, No. 10, 1986--2003 (2012; Zbl 1252.76099) Full Text: DOI
Antil, H.; Heinkenschloss, M.; Hoppe, R. H. W. Domain decomposition and balanced truncation model reduction for shape optimization of the Stokes system. (English) Zbl 1227.49046 Optim. Methods Softw. 26, No. 4-5, 643-669 (2011). MSC: 49Q10 65M55 76D07 PDFBibTeX XMLCite \textit{H. Antil} et al., Optim. Methods Softw. 26, No. 4--5, 643--669 (2011; Zbl 1227.49046) Full Text: DOI Link
Heinkenschloss, M.; Reis, T.; Antoulas, A. C. Balanced truncation model reduction for systems with inhomogeneous initial conditions. (English) Zbl 1216.93018 Automatica 47, No. 3, 559-564 (2011). MSC: 93B05 93B07 93C15 93B11 PDFBibTeX XMLCite \textit{M. Heinkenschloss} et al., Automatica 47, No. 3, 559--564 (2011; Zbl 1216.93018) Full Text: DOI
Antil, Harbir; Heinkenschloss, Matthias; Hoppe, Ronald H. W.; Sorensen, Danny C. Domain decomposition and model reduction for the numerical solution of PDE constrained optimization problems with localized optimization variables. (English) Zbl 1220.65074 Comput. Vis. Sci. 13, No. 6, 249-264 (2010). MSC: 65K10 49J20 49M27 49Q10 PDFBibTeX XMLCite \textit{H. Antil} et al., Comput. Vis. Sci. 13, No. 6, 249--264 (2010; Zbl 1220.65074) Full Text: DOI Link
Heinkenschloss, M. On the solution of a two ball trust region subproblem. (English) Zbl 0819.90067 Math. Program. 64, No. 3 (A), 249-276 (1994). MSC: 90C20 90-08 PDFBibTeX XMLCite \textit{M. Heinkenschloss}, Math. Program. 64, No. 3 (A), 249--276 (1994; Zbl 0819.90067) Full Text: DOI