Kapadia, Harshit; Feng, Lihong; Benner, Peter Active-learning-driven surrogate modeling for efficient simulation of parametric nonlinear systems. (English) Zbl 07796680 Comput. Methods Appl. Mech. Eng. 419, Article ID 116657, 36 p. (2024). MSC: 76-XX 92-XX PDFBibTeX XMLCite \textit{H. Kapadia} et al., Comput. Methods Appl. Mech. Eng. 419, Article ID 116657, 36 p. (2024; Zbl 07796680) Full Text: DOI arXiv
Chellappa, Sridhar; Feng, Lihong; Benner, Peter An adaptive sampling approach for the reduced basis method. (English) Zbl 1504.93036 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. 137-155 (2022). MSC: 93B11 93C40 65D12 PDFBibTeX XMLCite \textit{S. Chellappa} et al., in: Realization and model reduction of dynamical systems. A festschrift in honor of the 70th birthday of Thanos Antoulas. Cham: Springer. 137--155 (2022; Zbl 1504.93036) Full Text: DOI arXiv
Chellappa, Sridhar; Feng, Lihong; La Rubia, Valentín De; Benner, Peter Adaptive interpolatory MOR by learning the error estimator in the parameter domain. (English) Zbl 1477.93124 Benner, Peter (ed.) et al., Model reduction of complex dynamical systems. Selected papers based on the presentations at the workshop, University of Graz, Graz, Austria, August 28–30, 2019. Cham: Birkhäuser. ISNM, Int. Ser. Numer. Math. 171, 97-117 (2021). MSC: 93B11 93C40 93C80 PDFBibTeX XMLCite \textit{S. Chellappa} et al., ISNM, Int. Ser. Numer. Math. 171, 97--117 (2021; Zbl 1477.93124) Full Text: DOI arXiv
Chellappa, Sridhar; Feng, Lihong; Benner, Peter A training set subsampling strategy for the reduced basis method. (English) Zbl 1502.65262 J. Sci. Comput. 89, No. 3, Paper No. 63, 34 p. (2021). MSC: 65N99 65F25 65D05 PDFBibTeX XMLCite \textit{S. Chellappa} et al., J. Sci. Comput. 89, No. 3, Paper No. 63, 34 p. (2021; Zbl 1502.65262) Full Text: DOI arXiv
Feng, Lihong; Benner, Peter On error estimation for reduced-order modeling of linear non-parametric and parametric systems. (English) Zbl 1480.37086 ESAIM, Math. Model. Numer. Anal. 55, No. 2, 561-594 (2021). Reviewer: Hendrik Ranocha (Hamburg) MSC: 37M05 65P99 65L80 49Q12 PDFBibTeX XMLCite \textit{L. Feng} and \textit{P. Benner}, ESAIM, Math. Model. Numer. Anal. 55, No. 2, 561--594 (2021; Zbl 1480.37086) Full Text: DOI arXiv
Asif, Mian Mohammad Arsalan; Ahmad, Mian Ilyas; Benner, Peter; Feng, Lihong; Stykel, Tatjana Implicit higher-order moment matching technique for model reduction of quadratic-bilinear systems. (English) Zbl 1458.93040 J. Franklin Inst. 358, No. 3, 2015-2038 (2021). MSC: 93B11 93C10 PDFBibTeX XMLCite \textit{M. M. A. Asif} et al., J. Franklin Inst. 358, No. 3, 2015--2038 (2021; Zbl 1458.93040) Full Text: DOI arXiv
Kweyu, Cleophas; Feng, Lihong; Stein, Matthias; Benner, Peter Fast solution of the linearized Poisson-Boltzmann equation with nonaffine parametrized boundary conditions using the reduced basis method. (English) Zbl 07704919 Comput. Vis. Sci. 23, No. 1-4, Paper No. 15, 19 p. (2020). MSC: 65Nxx PDFBibTeX XMLCite \textit{C. Kweyu} et al., Comput. Vis. Sci. 23, No. 1--4, Paper No. 15, 19 p. (2020; Zbl 07704919) Full Text: DOI arXiv
Ilyas Ahmad, Mian; Benner, Peter; Feng, Lihong A new two-sided projection technique for model reduction of quadratic-bilinear descriptor systems. (English) Zbl 1499.65362 Int. J. Comput. Math. 96, No. 10, 1899-1909 (2019). MSC: 65L80 65F99 PDFBibTeX XMLCite \textit{M. Ilyas Ahmad} et al., Int. J. Comput. Math. 96, No. 10, 1899--1909 (2019; Zbl 1499.65362) Full Text: DOI
Zhang, Yongjin; Feng, Lihong; Li, Suzhou; Benner, Peter An efficient output error estimation for model order reduction of parametrized evolution equations. (English) Zbl 1382.65281 SIAM J. Sci. Comput. 37, No. 6, B910-B936 (2015). MSC: 65M15 65D15 35L90 35K90 PDFBibTeX XMLCite \textit{Y. Zhang} et al., SIAM J. Sci. Comput. 37, No. 6, B910--B936 (2015; Zbl 1382.65281) Full Text: DOI Link
Mangold, Michael; Feng, Lihong; Khlopov, Dmytro; Palis, Stefan; Benner, Peter; Binev, Daniel; Seidel-Morgenstern, Andreas Nonlinear model reduction of a continuous fluidized bed crystallizer. (English) Zbl 1320.65132 J. Comput. Appl. Math. 289, 253-266 (2015). MSC: 65M20 65N08 76M12 76S05 82D25 PDFBibTeX XMLCite \textit{M. Mangold} et al., J. Comput. Appl. Math. 289, 253--266 (2015; Zbl 1320.65132) Full Text: DOI
Baur, Ulrike; Benner, Peter; Feng, Lihong Model order reduction for linear and nonlinear systems: a system-theoretic perspective. (English) Zbl 1348.93075 Arch. Comput. Methods Eng. 21, No. 4, 331-358 (2014). MSC: 93B17 PDFBibTeX XMLCite \textit{U. Baur} et al., Arch. Comput. Methods Eng. 21, No. 4, 331--358 (2014; Zbl 1348.93075) Full Text: DOI