Grubišić, Luka; Hakula, Harri High order approximations of the operator Lyapunov equation have low rank. (English) Zbl 1503.65296 BIT 62, No. 4, 1433-1459 (2022). Reviewer: Xiaodi Zhang (Zhengzhou) MSC: 65N30 65N50 65N25 93C05 35B09 PDFBibTeX XMLCite \textit{L. Grubišić} and \textit{H. Hakula}, BIT 62, No. 4, 1433--1459 (2022; Zbl 1503.65296) Full Text: DOI
Gao, Zixuan; Liang, Jiuyang; Xu, Zhenli A kernel-independent sum-of-exponentials method. (English) Zbl 1520.65011 J. Sci. Comput. 93, No. 2, Paper No. 40, 35 p. (2022). MSC: 65D15 41A30 42A38 65R20 PDFBibTeX XMLCite \textit{Z. Gao} et al., J. Sci. Comput. 93, No. 2, Paper No. 40, 35 p. (2022; Zbl 1520.65011) Full Text: DOI arXiv
Dutta, Sourav; Farthing, Matthew W.; Perracchione, Emma; Savant, Gaurav; Putti, Mario A greedy non-intrusive reduced order model for shallow water equations. (English) Zbl 07512322 J. Comput. Phys. 439, Article ID 110378, 30 p. (2021). MSC: 41Axx 65Dxx 76Mxx PDFBibTeX XMLCite \textit{S. Dutta} et al., J. Comput. Phys. 439, Article ID 110378, 30 p. (2021; Zbl 07512322) Full Text: DOI arXiv
Vasu, G.; Siva Kumar, M.; Raju, M. Ramalinga Internal model control design based on approximation of linear discrete dynamical systems. (English) Zbl 1481.93079 Appl. Math. Modelling 97, 683-700 (2021). MSC: 93C80 41A21 PDFBibTeX XMLCite \textit{G. Vasu} et al., Appl. Math. Modelling 97, 683--700 (2021; Zbl 1481.93079) Full Text: DOI
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
Bosner, Nela Parallel reduction of four matrices to condensed form for a generalized matrix eigenvalue algorithm. (English) Zbl 1456.65189 Numer. Algorithms 86, No. 1, 153-178 (2021). MSC: 65F15 15A21 15A18 15A23 65Y05 65Y20 PDFBibTeX XMLCite \textit{N. Bosner}, Numer. Algorithms 86, No. 1, 153--178 (2021; Zbl 1456.65189) Full Text: DOI
Li, Kun; Huang, Ting-Zhu; Li, Liang; Lanteri, Stéphane A reduced-order discontinuous Galerkin method based on a Krylov subspace technique in nanophotonics. (English) Zbl 1428.78031 Appl. Math. Comput. 358, 128-145 (2019). MSC: 78M10 65M60 78A55 PDFBibTeX XMLCite \textit{K. Li} et al., Appl. Math. Comput. 358, 128--145 (2019; Zbl 1428.78031) Full Text: DOI
He, Qizhi; Chen, Jiun-Shyan; Marodon, Camille A decomposed subspace reduction for fracture mechanics based on the meshfree integrated singular basis function method. (English) Zbl 1469.74125 Comput. Mech. 63, No. 3, 593-614 (2019). MSC: 74S99 74R10 PDFBibTeX XMLCite \textit{Q. He} et al., Comput. Mech. 63, No. 3, 593--614 (2019; Zbl 1469.74125) Full Text: DOI
Yu, Lanlin; Xiong, Junlin Moment matching model reduction for negative imaginary systems. (English) Zbl 1451.93049 J. Franklin Inst. 356, No. 4, 2274-2293 (2019). MSC: 93B11 93D20 PDFBibTeX XMLCite \textit{L. Yu} and \textit{J. Xiong}, J. Franklin Inst. 356, No. 4, 2274--2293 (2019; Zbl 1451.93049) Full Text: DOI
Abraham, Anuj; Pappa, N.; Honc, Daniel; Sharma, Rahul Reduced order modelling and predictive control of multivariable nonlinear process. (English) Zbl 1397.93152 Sādhanā 43, No. 3, Paper No. 41, 18 p. (2018). MSC: 93C95 93C40 PDFBibTeX XMLCite \textit{A. Abraham} et al., Sādhanā 43, No. 3, Paper No. 41, 18 p. (2018; Zbl 1397.93152) Full Text: DOI Link
Qiu, Zhi-Yong; Jiang, Yao-Lin; Yuan, Jia-Wei Interpolatory model order reduction method for second order systems. (English) Zbl 1391.93052 Asian J. Control 20, No. 1, 312-322 (2018). MSC: 93B11 93C15 93C05 PDFBibTeX XMLCite \textit{Z.-Y. Qiu} et al., Asian J. Control 20, No. 1, 312--322 (2018; Zbl 1391.93052) Full Text: DOI
Li, Dongping; Cong, Yuhao Approximation of the linear combination of \(\varphi \)-functions using the block shift-and-invert Krylov subspace method. (English) Zbl 1454.65027 J. Appl. Anal. Comput. 7, No. 4, 1402-1416 (2017). MSC: 65F60 65L05 PDFBibTeX XMLCite \textit{D. Li} and \textit{Y. Cong}, J. Appl. Anal. Comput. 7, No. 4, 1402--1416 (2017; Zbl 1454.65027) Full Text: DOI
Lozovskiy, Alexander; Farthing, Matthew; Kees, Chris Evaluation of Galerkin and Petrov-Galerkin model reduction for finite element approximations of the shallow water equations. (English) Zbl 1439.76086 Comput. Methods Appl. Mech. Eng. 318, 537-571 (2017). MSC: 76M10 65M60 76B15 PDFBibTeX XMLCite \textit{A. Lozovskiy} et al., Comput. Methods Appl. Mech. Eng. 318, 537--571 (2017; Zbl 1439.76086) Full Text: DOI
Druskin, Vladimir; Mamonov, Alexander V.; Thaler, Andrew E.; Zaslavsky, Mikhail Direct, nonlinear inversion algorithm for hyperbolic problems via projection-based model reduction. (English) Zbl 1346.86007 SIAM J. Imaging Sci. 9, No. 2, 684-747 (2016). MSC: 86A22 35R30 41A05 65N21 PDFBibTeX XMLCite \textit{V. Druskin} et al., SIAM J. Imaging Sci. 9, No. 2, 684--747 (2016; Zbl 1346.86007) Full Text: DOI arXiv
Barkouki, Houda; Bentbib, A. H.; Jbilou, K. An adaptive rational block Lanczos-type algorithm for model reduction of large scale dynamical systems. (English) Zbl 1339.65083 J. Sci. Comput. 67, No. 1, 221-236 (2016). MSC: 65K10 93C05 93D25 PDFBibTeX XMLCite \textit{H. Barkouki} et al., J. Sci. Comput. 67, No. 1, 221--236 (2016; Zbl 1339.65083) Full Text: DOI
Lozovskiy, Alexander; Farthing, Matthew; Kees, Chris; Gildin, Eduardo POD-based model reduction for stabilized finite element approximations of shallow water flows. (English) Zbl 1381.76189 J. Comput. Appl. Math. 302, 50-70 (2016). MSC: 76M10 65M60 76D05 PDFBibTeX XMLCite \textit{A. Lozovskiy} et al., J. Comput. Appl. Math. 302, 50--70 (2016; Zbl 1381.76189) Full Text: DOI
Le Coënt, Adrien; De Vuyst, Florian; Rey, Christian; Chamoin, Ludovic; Fribourg, Laurent Guaranteed control of switched control systems using model order reduction and state-space bisection. (English) Zbl 1432.93043 André, Étienne (ed.) et al., 2nd international workshop on synthesis of complex parameters, SynCoP’15, April 11, 2015, London, UK. Wadern: Schloss Dagstuhl – Leibniz Zentrum für Informatik. OASIcs – OpenAccess Ser. Inform. 44, 33-47 (2015). MSC: 93B11 93C30 93B03 93D05 PDFBibTeX XMLCite \textit{A. Le Coënt} et al., OASIcs -- OpenAccess Ser. Inform. 44, 33--47 (2015; Zbl 1432.93043) Full Text: DOI
Nechak, Lyès; Raynaud, Henri-François; Kulcsár, Caroline Model order reduction of random parameter-dependent linear systems. (English) Zbl 1378.93118 Automatica 55, 95-107 (2015). MSC: 93E03 93B17 93B11 93C41 93C05 PDFBibTeX XMLCite \textit{L. Nechak} et al., Automatica 55, 95--107 (2015; Zbl 1378.93118) Full Text: DOI
Chen, Jiun-Shyan; Marodon, Camille; Hu, Hsin-Yun Model order reduction for meshfree solution of Poisson singularity problems. (English) Zbl 1352.65561 Int. J. Numer. Methods Eng. 102, No. 5, 1211-1237 (2015). MSC: 65N35 65N80 PDFBibTeX XMLCite \textit{J.-S. Chen} et al., Int. J. Numer. Methods Eng. 102, No. 5, 1211--1237 (2015; Zbl 1352.65561) Full Text: DOI
Himpe, Christian; Ohlberger, Mario Cross-Gramian-based combined state and parameter reduction for large-scale control systems. (English) Zbl 1407.93079 Math. Probl. Eng. 2014, Article ID 843869, 13 p. (2014). MSC: 93B11 93C05 93B40 PDFBibTeX XMLCite \textit{C. Himpe} and \textit{M. Ohlberger}, Math. Probl. Eng. 2014, Article ID 843869, 13 p. (2014; Zbl 1407.93079) Full Text: DOI arXiv
Kerfriden, P.; Ródenas, J. J.; Bordas, S. P.-A. Certification of projection-based reduced order modelling in computational homogenisation by the constitutive relation error. (English) Zbl 1352.74265 Int. J. Numer. Methods Eng. 97, No. 6, 395-422 (2014). MSC: 74Q05 74S05 65N30 PDFBibTeX XMLCite \textit{P. Kerfriden} et al., Int. J. Numer. Methods Eng. 97, No. 6, 395--422 (2014; Zbl 1352.74265) Full Text: DOI arXiv Link
Agarwal, Anshul; Biegler, Lorenz T. A trust-region framework for constrained optimization using reduced order modeling. (English) Zbl 1293.76109 Optim. Eng. 14, No. 1, 3-35 (2013). MSC: 76N25 65K10 PDFBibTeX XMLCite \textit{A. Agarwal} and \textit{L. T. Biegler}, Optim. Eng. 14, No. 1, 3--35 (2013; Zbl 1293.76109) Full Text: DOI
Mencik, J.-M. A model reduction strategy for computing the forced response of elastic waveguides using the wave finite element method. (English) Zbl 1253.74042 Comput. Methods Appl. Mech. Eng. 229-232, 68-86 (2012). MSC: 74J10 74S05 65M60 65C05 PDFBibTeX XMLCite \textit{J. M. Mencik}, Comput. Methods Appl. Mech. Eng. 229--232, 68--86 (2012; Zbl 1253.74042) Full Text: DOI HAL
Yue, Yao; Meerbergen, Karl Using Krylov-Padé model order reduction for accelerating design optimization of structures and vibrations in the frequency domain. (English) Zbl 1242.74222 Int. J. Numer. Methods Eng. 90, No. 10, 1207-1232 (2012). MSC: 74S30 74P10 74H45 PDFBibTeX XMLCite \textit{Y. Yue} and \textit{K. Meerbergen}, Int. J. Numer. Methods Eng. 90, No. 10, 1207--1232 (2012; Zbl 1242.74222) Full Text: DOI
Kerfriden, P.; Passieux, J. C.; Bordas, S. P. A. Local/global model order reduction strategy for the simulation of quasi-brittle fracture. (English) Zbl 1242.74130 Int. J. Numer. Methods Eng. 89, No. 2, 154-179 (2012). MSC: 74S05 74S20 74R05 PDFBibTeX XMLCite \textit{P. Kerfriden} et al., Int. J. Numer. Methods Eng. 89, No. 2, 154--179 (2012; Zbl 1242.74130) Full Text: DOI arXiv
Gerzen, Nikolai; Materna, Daniel; Barthold, Franz-Joseph The inner structure of sensitivities in nodal based shape optimisation. (English) Zbl 1352.74228 Comput. Mech. 49, No. 3, 379-396 (2012). MSC: 74P05 PDFBibTeX XMLCite \textit{N. Gerzen} et al., Comput. Mech. 49, No. 3, 379--396 (2012; Zbl 1352.74228) Full Text: DOI
Petreczky, Mihály; Van Schuppen, Jan H. Partial-realization theory for linear switched systems – a formal power series approach. (English) Zbl 1228.93026 Automatica 47, No. 10, 2177-2184 (2011). MSC: 93B15 93C05 93C30 PDFBibTeX XMLCite \textit{M. Petreczky} and \textit{J. H. Van Schuppen}, Automatica 47, No. 10, 2177--2184 (2011; Zbl 1228.93026) Full Text: DOI
Knockaert, L.; Dhaene, T.; Ferranti, F.; De Zutter, D. Model order reduction with preservation of passivity, non-expansivity and Markov moments. (English) Zbl 1217.15025 Syst. Control Lett. 60, No. 1, 53-61 (2011). Reviewer: Martín Argerami (Regina) MSC: 15A39 15A24 15A86 PDFBibTeX XMLCite \textit{L. Knockaert} et al., Syst. Control Lett. 60, No. 1, 53--61 (2011; Zbl 1217.15025) Full Text: DOI Link
Amodei, L.; Buchot, J.-M. An invariant subspace method for large-scale algebraic Riccati equation. (English) Zbl 1227.65053 Appl. Numer. Math. 60, No. 11, 1067-1082 (2010). Reviewer: Viorel Arnăutu (Iaşi) MSC: 65K10 93C05 93C15 93B52 PDFBibTeX XMLCite \textit{L. Amodei} and \textit{J. M. Buchot}, Appl. Numer. Math. 60, No. 11, 1067--1082 (2010; Zbl 1227.65053) Full Text: DOI
Sojoudi, Somayeh; Aghdam, Amir G. Interconnection-based performance analysis for a class of decentralized controllers. (English) Zbl 1191.93041 Automatica 46, No. 5, 796-803 (2010). MSC: 93B51 93A14 15A39 93A15 49N10 PDFBibTeX XMLCite \textit{S. Sojoudi} and \textit{A. G. Aghdam}, Automatica 46, No. 5, 796--803 (2010; Zbl 1191.93041) Full Text: DOI Link
Zilian, A.; Dinkler, D.; Vehre, A. Projection-based reduction of fluid-structure interaction systems using monolithic space-time modes. (English) Zbl 1230.74208 Comput. Methods Appl. Mech. Eng. 198, No. 47-48, 3795-3805 (2009). MSC: 74S05 76M10 74F10 76D05 PDFBibTeX XMLCite \textit{A. Zilian} et al., Comput. Methods Appl. Mech. Eng. 198, No. 47--48, 3795--3805 (2009; Zbl 1230.74208) Full Text: DOI
da Silva, Maíra M.; Brüls, Olivier; Swevers, Jan; Desmet, Wim; van Brussel, Hendrik Computer-aided integrated design for machines with varying dynamics. (English) Zbl 1178.70068 Mech. Mach. Theory 44, No. 9, 1733-1745 (2009). MSC: 70B15 68U07 65D17 PDFBibTeX XMLCite \textit{M. M. da Silva} et al., Mech. Mach. Theory 44, No. 9, 1733--1745 (2009; Zbl 1178.70068) Full Text: DOI
Foss, Anna M.; Vickerman, Peter T.; Chalabi, Zaid; Mayaud, Philippe; Alary, Michel; Watts, Charlotte H. Dynamic modeling of herpes simplex virus type-2 (HSV-2) transmission: Issues in structural uncertainty. (English) Zbl 1163.92025 Bull. Math. Biol. 71, No. 3, 720-749 (2009). MSC: 92C60 34A99 62P10 62J05 PDFBibTeX XMLCite \textit{A. M. Foss} et al., Bull. Math. Biol. 71, No. 3, 720--749 (2009; Zbl 1163.92025) Full Text: DOI
Cardoso, M. A.; Durlofsky, L. J.; Sarma, P. Development and application of reduced-order modeling procedures for subsurface flow simulation. (English) Zbl 1156.76420 Int. J. Numer. Methods Eng. 77, No. 9, 1322-1350 (2009). MSC: 76M25 76S05 86A05 PDFBibTeX XMLCite \textit{M. A. Cardoso} et al., Int. J. Numer. Methods Eng. 77, No. 9, 1322--1350 (2009; Zbl 1156.76420) Full Text: DOI
Lienemann, Jan; Rudnyi, Evgenii B.; Korvink, Jan G. MST MEMS model order reduction: requirements and benchmarks. (English) Zbl 1089.74048 Linear Algebra Appl. 415, No. 2-3, 469-498 (2006). MSC: 74S05 74F15 78A55 80A22 PDFBibTeX XMLCite \textit{J. Lienemann} et al., Linear Algebra Appl. 415, No. 2--3, 469--498 (2006; Zbl 1089.74048) Full Text: DOI
Gallivan, K.; Vandendorpe, A.; Van Dooren, P. Sylvester equations and projection-based model reduction. (English) Zbl 1044.65054 J. Comput. Appl. Math. 162, No. 1, 213-229 (2004). Reviewer: Mihail M. Konstantinov (Sofia) MSC: 65K10 93B11 93C05 65F10 15A24 93C15 PDFBibTeX XMLCite \textit{K. Gallivan} et al., J. Comput. Appl. Math. 162, No. 1, 213--229 (2004; Zbl 1044.65054) Full Text: DOI
Bai, Zhaojun Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems. (English) Zbl 1012.65136 Appl. Numer. Math. 43, No. 1-2, 9-44 (2002). MSC: 65P10 37M15 PDFBibTeX XMLCite \textit{Z. Bai}, Appl. Numer. Math. 43, No. 1--2, 9--44 (2002; Zbl 1012.65136) Full Text: DOI