Tezaur, Radek; As’ad, Faisal; Farhat, Charbel Robust and globally efficient reduction of parametric, highly nonlinear computational models and real time online performance. (English) Zbl 07589842 Comput. Methods Appl. Mech. Eng. 399, Article ID 115392, 25 p. (2022). MSC: 76-XX 93-XX PDF BibTeX XML Cite \textit{R. Tezaur} et al., Comput. Methods Appl. Mech. Eng. 399, Article ID 115392, 25 p. (2022; Zbl 07589842) Full Text: DOI OpenURL
Pichi, Federico; Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi Driving bifurcating parametrized nonlinear PDEs by optimal control strategies: application to Navier-Stokes equations with model order reduction. (English) Zbl 07584590 ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1361-1400 (2022). MSC: 35Q35 76D05 49J20 49M41 65P30 65N25 35B32 35B35 76M10 PDF BibTeX XML Cite \textit{F. Pichi} et al., ESAIM, Math. Model. Numer. Anal. 56, No. 4, 1361--1400 (2022; Zbl 07584590) Full Text: DOI OpenURL
Arjoune, Tahar; Markert, Bernd; Bamer, Franz Non-incremental response evaluation in geometrically nonlinear structural dynamics using a space-time stiffness operator. (English) Zbl 07583124 Comput. Mech. 70, No. 2, 309-333 (2022). MSC: 74-XX PDF BibTeX XML Cite \textit{T. Arjoune} et al., Comput. Mech. 70, No. 2, 309--333 (2022; Zbl 07583124) Full Text: DOI OpenURL
Du, Xin; Uddin, M. Monir; Fony, A. Mostakim; Hossain, Md. Tanzim; Shuzan, Md. Nazmul Islam Iterative rational Krylov algorithms for model reduction of a class of constrained structural dynamic system with engineering applications. (English) Zbl 07579709 Numer. Algebra Control Optim. 12, No. 3, 481-493 (2022). MSC: 14-XX PDF BibTeX XML Cite \textit{X. Du} et al., Numer. Algebra Control Optim. 12, No. 3, 481--493 (2022; Zbl 07579709) Full Text: DOI OpenURL
Wang, Zhao-Hong; Jiang, Yao-Lin; Xu, Kang-Li Discrete orthogonal polynomials reduced models based on shift-transformation and discrete Walsh functions. (English) Zbl 07579617 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 10, 2045-2062 (2022). MSC: 93B11 93C55 93D20 PDF BibTeX XML Cite \textit{Z.-H. Wang} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 10, 2045--2062 (2022; Zbl 07579617) Full Text: DOI OpenURL
Mengi, Emre Large-scale estimation of dominant poles of a transfer function by an interpolatory framework. (English) Zbl 07575889 SIAM J. Sci. Comput. 44, No. 4, A2412-A2438 (2022). MSC: 65F15 93C05 93A15 34K17 PDF BibTeX XML Cite \textit{E. Mengi}, SIAM J. Sci. Comput. 44, No. 4, A2412--A2438 (2022; Zbl 07575889) Full Text: DOI OpenURL
Liu, Ruikuan; Zhang, Dongpei Dynamic transitions for the S-K-T competition system. (English) Zbl 07569530 Discrete Contin. Dyn. Syst., Ser. B 27, No. 9, 5343-5365 (2022). MSC: 35B32 35B35 35K51 35K57 37L10 PDF BibTeX XML Cite \textit{R. Liu} and \textit{D. Zhang}, Discrete Contin. Dyn. Syst., Ser. B 27, No. 9, 5343--5365 (2022; Zbl 07569530) Full Text: DOI OpenURL
Cheng, Fangxiong; Xu, Hui; Feng, Xinlong Model order reduction method based on machine learning for parameterized time-dependent partial differential equations. (English) Zbl 07568384 J. Sci. Comput. 92, No. 2, Paper No. 64, 25 p. (2022). MSC: 68Txx 65Mxx 65Nxx PDF BibTeX XML Cite \textit{F. Cheng} et al., J. Sci. Comput. 92, No. 2, Paper No. 64, 25 p. (2022; Zbl 07568384) Full Text: DOI OpenURL
Liljegren-Sailer, Björn; Marheineke, Nicole On snapshot-based model reduction under compatibility conditions for a nonlinear flow problem on networks. (English) Zbl 07568382 J. Sci. Comput. 92, No. 2, Paper No. 62, 30 p. (2022). MSC: 65-XX 35L60 35R02 65N12 PDF BibTeX XML Cite \textit{B. Liljegren-Sailer} and \textit{N. Marheineke}, J. Sci. Comput. 92, No. 2, Paper No. 62, 30 p. (2022; Zbl 07568382) Full Text: DOI OpenURL
Zeng, Xianyi; Stabile, Giovanni; Karatzas, Efthymios N.; Scovazzi, Guglielmo; Rozza, Gianluigi Embedded domain reduced basis models for the shallow water hyperbolic equations with the shifted boundary method. (English) Zbl 07566964 Comput. Methods Appl. Mech. Eng. 398, Article ID 115143, 29 p. (2022). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{X. Zeng} et al., Comput. Methods Appl. Mech. Eng. 398, Article ID 115143, 29 p. (2022; Zbl 07566964) Full Text: DOI OpenURL
Kuto, Kousuke; Oeda, Kazuhiro Bifurcation structure of coexistence states for a prey-predator model with large population flux by attractive transition. (English) Zbl 07566835 Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 4, 965-988 (2022). MSC: 35J57 35J61 35K57 92D25 PDF BibTeX XML Cite \textit{K. Kuto} and \textit{K. Oeda}, Proc. R. Soc. Edinb., Sect. A, Math. 152, No. 4, 965--988 (2022; Zbl 07566835) Full Text: DOI OpenURL
Cheng, Fangxiong; Xu, Hui; Feng, Xinlong Model order reduction method based on (r)POD-ANNs for parameterized time-dependent partial differential equations. (English) Zbl 07562528 Comput. Fluids 241, Article ID 105481, 13 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{F. Cheng} et al., Comput. Fluids 241, Article ID 105481, 13 p. (2022; Zbl 07562528) Full Text: DOI OpenURL
Du, Eugene; Yano, Masayuki Efficient hyperreduction of high-order discontinuous Galerkin methods: element-wise and point-wise reduced quadrature formulations. (English) Zbl 07561076 J. Comput. Phys. 466, Article ID 111399, 20 p. (2022). MSC: 65Nxx 65Mxx 76Mxx PDF BibTeX XML Cite \textit{E. Du} and \textit{M. Yano}, J. Comput. Phys. 466, Article ID 111399, 20 p. (2022; Zbl 07561076) Full Text: DOI OpenURL
Binder, Andreas; Jadhav, Onkar; Mehrmann, Volker Error analysis of a model order reduction framework for financial risk analysis. (English) Zbl 07556360 ETNA, Electron. Trans. Numer. Anal. 55, 469-507 (2022). MSC: 35Q91 35L10 65M60 91G30 91G60 91G80 PDF BibTeX XML Cite \textit{A. Binder} et al., ETNA, Electron. Trans. Numer. Anal. 55, 469--507 (2022; Zbl 07556360) Full Text: DOI Link OpenURL
Li, Zi-Xue; Jiang, Yao-Lin; Xu, Kang-Li Riemannian optimization model order reduction method for general linear port-Hamiltonian systems. (English) Zbl 07554848 IMA J. Math. Control Inf. 39, No. 2, 590-608 (2022). MSC: 93B11 93B70 93C05 49Q12 PDF BibTeX XML Cite \textit{Z.-X. Li} et al., IMA J. Math. Control Inf. 39, No. 2, 590--608 (2022; Zbl 07554848) Full Text: DOI OpenURL
Breiten, Tobias; Unger, Benjamin Passivity preserving model reduction via spectral factorization. (English) Zbl 07553576 Automatica 142, Article ID 110368, 12 p. (2022). MSC: 93B11 93B70 93D20 93C05 PDF BibTeX XML Cite \textit{T. Breiten} and \textit{B. Unger}, Automatica 142, Article ID 110368, 12 p. (2022; Zbl 07553576) Full Text: DOI OpenURL
Friderikos, Orestis; Baranger, Emmanuel; Olive, Marc; Neron, David On the stability of POD basis interpolation on Grassmann manifolds for parametric model order reduction. (English) Zbl 07548526 Comput. Mech. 70, No. 1, 181-204 (2022). MSC: 74S99 74S05 74B20 PDF BibTeX XML Cite \textit{O. Friderikos} et al., Comput. Mech. 70, No. 1, 181--204 (2022; Zbl 07548526) Full Text: DOI OpenURL
Kang, Seung-Hoon; Kim, Yongse; Cho, Haeseong; Shin, SangJoon Improved hyper-reduction approach for the forced vibration analysis of rotating components. (English) Zbl 07548513 Comput. Mech. 69, No. 6, 1443-1456 (2022). MSC: 74H45 74S99 74S05 PDF BibTeX XML Cite \textit{S.-H. Kang} et al., Comput. Mech. 69, No. 6, 1443--1456 (2022; Zbl 07548513) Full Text: DOI OpenURL
Xu, Kang-Li; Jiang, Yao-Lin Riemannian optimization approach to structure-preserving model order reduction of integral-differential systems on the product of two Stiefel manifolds. (English) Zbl 1491.93020 J. Franklin Inst. 359, No. 9, 4307-4330 (2022). MSC: 93B11 93C15 93B27 PDF BibTeX XML Cite \textit{K.-L. Xu} and \textit{Y.-L. Jiang}, J. Franklin Inst. 359, No. 9, 4307--4330 (2022; Zbl 1491.93020) Full Text: DOI OpenURL
Breiten, Tobias; Morandin, Riccardo; Schulze, Philipp Error bounds for port-Hamiltonian model and controller reduction based on system balancing. (English) Zbl 07546661 Comput. Math. Appl. 116, 100-115 (2022). MSC: 93-XX 37-XX PDF BibTeX XML Cite \textit{T. Breiten} et al., Comput. Math. Appl. 116, 100--115 (2022; Zbl 07546661) Full Text: DOI arXiv OpenURL
Mamonov, Alexander V.; Olshanskii, Maxim A. Interpolatory tensorial reduced order models for parametric dynamical systems. (English) Zbl 07543711 Comput. Methods Appl. Mech. Eng. 397, Article ID 115122, 30 p. (2022). MSC: 81-XX 68-XX PDF BibTeX XML Cite \textit{A. V. Mamonov} and \textit{M. A. Olshanskii}, Comput. Methods Appl. Mech. Eng. 397, Article ID 115122, 30 p. (2022; Zbl 07543711) Full Text: DOI OpenURL
Aumann, Quirin; Deckers, Elke; Jonckheere, Stijn; Desmet, Wim; Müller, Gerhard Automatic model order reduction for systems with frequency-dependent material properties. (English) Zbl 07543706 Comput. Methods Appl. Mech. Eng. 397, Article ID 115076, 22 p. (2022). MSC: 74-XX 93-XX PDF BibTeX XML Cite \textit{Q. Aumann} et al., Comput. Methods Appl. Mech. Eng. 397, Article ID 115076, 22 p. (2022; Zbl 07543706) Full Text: DOI OpenURL
Palitta, Davide; Lefteriu, Sanda An efficient, memory-saving approach for the Loewner framework. (English) Zbl 07543419 J. Sci. Comput. 91, No. 2, Paper No. 31, 25 p. (2022). MSC: 65Fxx 15Axx 65Yxx PDF BibTeX XML Cite \textit{D. Palitta} and \textit{S. Lefteriu}, J. Sci. Comput. 91, No. 2, Paper No. 31, 25 p. (2022; Zbl 07543419) Full Text: DOI OpenURL
Hamadi, M. A.; Jbilou, K.; Ratnani, A. A model reduction method in large scale dynamical systems using an extended-rational block Arnoldi method. (English) Zbl 1487.65042 J. Appl. Math. Comput. 68, No. 1, 271-293 (2022). MSC: 65F15 65F50 65P99 93B11 PDF BibTeX XML Cite \textit{M. A. Hamadi} et al., J. Appl. Math. Comput. 68, No. 1, 271--293 (2022; Zbl 1487.65042) Full Text: DOI OpenURL
Argun, R. L.; Volkov, V. T.; Lukyanenko, D. V. Numerical simulation of front dynamics in a nonlinear singularly perturbed reaction-diffusion problem. (English) Zbl 1490.35024 J. Comput. Appl. Math. 412, Article ID 114294, 15 p. (2022). MSC: 35B25 35B44 35C20 35K20 35K57 PDF BibTeX XML Cite \textit{R. L. Argun} et al., J. Comput. Appl. Math. 412, Article ID 114294, 15 p. (2022; Zbl 1490.35024) Full Text: DOI OpenURL
Ferrero, Andrea; Taddei, Tommaso; Zhang, Lei Registration-based model reduction of parameterized two-dimensional conservation laws. (English) Zbl 07523816 J. Comput. Phys. 457, Article ID 111068, 22 p. (2022). MSC: 65Mxx 65Nxx 76Mxx PDF BibTeX XML Cite \textit{A. Ferrero} et al., J. Comput. Phys. 457, Article ID 111068, 22 p. (2022; Zbl 07523816) Full Text: DOI arXiv OpenURL
Kim, Youngkyu; Choi, Youngsoo; Widemann, David; Zohdi, Tarek A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder. (English) Zbl 07517153 J. Comput. Phys. 451, Article ID 110841, 29 p. (2022). MSC: 65Mxx 65Lxx 68Txx PDF BibTeX XML Cite \textit{Y. Kim} et al., J. Comput. Phys. 451, Article ID 110841, 29 p. (2022; Zbl 07517153) Full Text: DOI arXiv OpenURL
Huang, Cheng; Wentland, Christopher R.; Duraisamy, Karthik; Merkle, Charles Model reduction for multi-scale transport problems using model-form preserving least-squares projections with variable transformation. (English) Zbl 07516825 J. Comput. Phys. 448, Article ID 110742, 40 p. (2022). MSC: 76Mxx 65Mxx 76Dxx PDF BibTeX XML Cite \textit{C. Huang} et al., J. Comput. Phys. 448, Article ID 110742, 40 p. (2022; Zbl 07516825) Full Text: DOI arXiv OpenURL
Bäcker, Jan-Phillip; Röger, Matthias Analysis and asymptotic reduction of a bulk-surface reaction-diffusion model of Gierer-Meinhardt type. (English) Zbl 1491.35271 Commun. Pure Appl. Anal. 21, No. 4, 1139-1155 (2022). Reviewer: Takashi Suzuki (Osaka) MSC: 35K57 35B36 35K51 58J35 92B05 PDF BibTeX XML Cite \textit{J.-P. Bäcker} and \textit{M. Röger}, Commun. Pure Appl. Anal. 21, No. 4, 1139--1155 (2022; Zbl 1491.35271) Full Text: DOI OpenURL
Gavrilenko, Pavel; Haasdonk, Bernard; Iliev, Oleg; Ohlberger, Mario; Schindler, Felix; Toktaliev, Pavel; Wenzel, Tizian; Youssef, Maha A full order, reduced order and machine learning model pipeline for efficient prediction of reactive flows. (English) Zbl 07511657 Lirkov, Ivan (ed.) et al., Large-scale scientific computing. 13th international conference, LSSC 2021, Sozopol, Bulgaria, June 7–11, 2021. Revised selected papers. Cham: Springer. Lect. Notes Comput. Sci. 13127, 378-386 (2022). MSC: 76-XX 68-XX PDF BibTeX XML Cite \textit{P. Gavrilenko} et al., Lect. Notes Comput. Sci. 13127, 378--386 (2022; Zbl 07511657) Full Text: DOI OpenURL
Mendible, Ariana; Lowrie, Weston; Brunton, Steven L.; Kutz, J. Nathan Data-driven modeling of two-dimensional detonation wave fronts. (English) Zbl 07508666 Wave Motion 109, Article ID 102879, 17 p. (2022). MSC: 76-XX 74-XX PDF BibTeX XML Cite \textit{A. Mendible} et al., Wave Motion 109, Article ID 102879, 17 p. (2022; Zbl 07508666) Full Text: DOI arXiv OpenURL
Nick, Jörg; Kovács, Balázs; Lubich, Christian Time-dependent electromagnetic scattering from thin layers. (English) Zbl 1491.35408 Numer. Math. 150, No. 4, 1123-1164 (2022). MSC: 35Q61 78A45 65M60 65L06 65N30 65M38 78M10 78M15 78M34 65M12 65R20 35A01 35A02 PDF BibTeX XML Cite \textit{J. Nick} et al., Numer. Math. 150, No. 4, 1123--1164 (2022; Zbl 1491.35408) Full Text: DOI OpenURL
Brunton, Steven L.; Kutz, J. Nathan Data-driven science and engineering. Machine learning, dynamical systems, and control. 2nd edition. (English) Zbl 1487.68001 Cambridge: Cambridge University Press (ISBN 978-1-00-909848-9/hbk; 978-1-00-908951-7/ebook). xxiv, 590 p. (2022). MSC: 68-01 62-01 93-01 37N35 62R07 68T05 68T09 93B28 93B30 93C95 94A16 PDF BibTeX XML Cite \textit{S. L. Brunton} and \textit{J. N. Kutz}, Data-driven science and engineering. Machine learning, dynamical systems, and control. 2nd edition. Cambridge: Cambridge University Press (2022; Zbl 1487.68001) Full Text: DOI OpenURL
Dinh, Huy; Antil, Harbir; Chen, Yanlai; Cherkaev, Elena; Narayan, Akil Model reduction for fractional elliptic problems using Kato’s formula. (English) Zbl 1486.35421 Math. Control Relat. Fields 12, No. 1, 115-146 (2022). MSC: 35R11 35J25 65M12 PDF BibTeX XML Cite \textit{H. Dinh} et al., Math. Control Relat. Fields 12, No. 1, 115--146 (2022; Zbl 1486.35421) Full Text: DOI OpenURL
Li, Yanpeng; Jiang, Yaolin; Yang, Ping Model order reduction of port-Hamiltonian systems with inhomogeneous initial conditions via approximate finite-time Gramians. (English) Zbl 07488751 Appl. Math. Comput. 422, Article ID 126959, 17 p. (2022). MSC: 93Bxx 93Cxx 65Fxx PDF BibTeX XML Cite \textit{Y. Li} et al., Appl. Math. Comput. 422, Article ID 126959, 17 p. (2022; Zbl 07488751) Full Text: DOI OpenURL
Jiang, Jiahua; Sanogo, Fatoumata; Navasca, Carmeliza Low-CP-rank tensor completion via practical regularization. (English) Zbl 07488728 J. Sci. Comput. 91, No. 1, Paper No. 18, 20 p. (2022). MSC: 65F55 15A69 PDF BibTeX XML Cite \textit{J. Jiang} et al., J. Sci. Comput. 91, No. 1, Paper No. 18, 20 p. (2022; Zbl 07488728) Full Text: DOI arXiv OpenURL
Karasözen, Bülent; Yıldız, Süleyman; Uzunca, Murat Intrusive and data-driven reduced order modelling of the rotating thermal shallow water equation. (English) Zbl 07484231 Appl. Math. Comput. 421, Article ID 126924, 17 p. (2022). MSC: 37N10 76B15 65M06 37M15 68T05 65F22 93A15 PDF BibTeX XML Cite \textit{B. Karasözen} et al., Appl. Math. Comput. 421, Article ID 126924, 17 p. (2022; Zbl 07484231) Full Text: DOI arXiv OpenURL
Redmann, Martin; Duff, Igor Pontes Full state approximation by Galerkin projection reduced order models for stochastic and bilinear systems. (English) Zbl 07483707 Appl. Math. Comput. 420, Article ID 126561, 21 p. (2022). MSC: 60H10 65C30 93A15 93C10 93D20 93E15 PDF BibTeX XML Cite \textit{M. Redmann} and \textit{I. P. Duff}, Appl. Math. Comput. 420, Article ID 126561, 21 p. (2022; Zbl 07483707) Full Text: DOI arXiv OpenURL
Torregrosa, Sergio; Champaney, Victor; Ammar, Amine; Herbert, Vincent; Chinesta, Francisco Surrogate parametric metamodel based on optimal transport. (English) Zbl 07478783 Math. Comput. Simul. 194, 36-63 (2022). MSC: 76-XX 92-XX PDF BibTeX XML Cite \textit{S. Torregrosa} et al., Math. Comput. Simul. 194, 36--63 (2022; Zbl 07478783) Full Text: DOI OpenURL
Zulfiqar, Umair; Sreeram, Victor; Ahmad, Mian Ilyas; Du, Xin Frequency-weighted \(\mathcal{H}_2\)-optimal model order reduction via oblique projection. (English) Zbl 1483.93050 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 1, 182-198 (2022). MSC: 93B11 93C80 49K05 PDF BibTeX XML Cite \textit{U. Zulfiqar} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 53, No. 1, 182--198 (2022; Zbl 1483.93050) Full Text: DOI arXiv OpenURL
Anderson, William; Farazmand, Mohammad Evolution of nonlinear reduced-order solutions for PDEs with conserved quantities. (English) Zbl 1484.65206 SIAM J. Sci. Comput. 44, No. 1, A176-A197 (2022). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M06 65N30 65M80 65P99 37L65 37K06 70H33 35D35 35A01 35A02 35Q31 35Q55 PDF BibTeX XML Cite \textit{W. Anderson} and \textit{M. Farazmand}, SIAM J. Sci. Comput. 44, No. 1, A176--A197 (2022; Zbl 1484.65206) Full Text: DOI arXiv OpenURL
Kim, Jeongho A Cucker-Smale flocking model with the Hessian communication weight and its first-order reduction. (English) Zbl 1489.34078 J. Nonlinear Sci. 32, No. 2, Paper No. 20, 35 p. (2022). MSC: 34D05 35B40 92D50 PDF BibTeX XML Cite \textit{J. Kim}, J. Nonlinear Sci. 32, No. 2, Paper No. 20, 35 p. (2022; Zbl 1489.34078) Full Text: DOI OpenURL
Gentili, G. G.; Khosronejad, M.; Bernasconi, G.; Perotto, S.; Micheletti, S. Efficient modeling of multimode guided acoustic wave propagation in deformed pipelines by hierarchical model reduction. (English) Zbl 1484.65298 Appl. Numer. Math. 173, 329-344 (2022). Reviewer: Bülent Karasözen (Ankara) MSC: 65N30 35J25 35J05 76Q05 76M10 65N15 65N35 35Q35 PDF BibTeX XML Cite \textit{G. G. Gentili} et al., Appl. Numer. Math. 173, 329--344 (2022; Zbl 1484.65298) Full Text: DOI OpenURL
Yu, Lanlin; Cheng, Xiaodong; Scherpen, Jacquelien M. A.; Xiong, Junlin \( \mathcal{H}_2\) model reduction for diffusively coupled second-order networks by convex-optimization. (English) Zbl 1482.93106 Automatica 137, Article ID 110118, 9 p. (2022). MSC: 93B11 93B70 93D20 90C25 PDF BibTeX XML Cite \textit{L. Yu} et al., Automatica 137, Article ID 110118, 9 p. (2022; Zbl 1482.93106) Full Text: DOI arXiv OpenURL
Tango, Shuichi; Azegami, Hideyuki Acceleration of shape optimization analysis using model order reduction by Karhunen-Loève expansion. (English) Zbl 1480.49042 Japan J. Ind. Appl. Math. 39, No. 1, 385-401 (2022). MSC: 49Q10 49M27 35Q93 15A18 94A11 PDF BibTeX XML Cite \textit{S. Tango} and \textit{H. Azegami}, Japan J. Ind. Appl. Math. 39, No. 1, 385--401 (2022; Zbl 1480.49042) Full Text: DOI OpenURL
Liljegren-Sailer, Björn; Marheineke, Nicole Input-tailored system-theoretic model order reduction for quadratic-bilinear systems. (English) Zbl 1480.93056 SIAM J. Matrix Anal. Appl. 43, No. 1, 1-39 (2022). MSC: 93B11 93C10 93C80 PDF BibTeX XML Cite \textit{B. Liljegren-Sailer} and \textit{N. Marheineke}, SIAM J. Matrix Anal. Appl. 43, No. 1, 1--39 (2022; Zbl 1480.93056) Full Text: DOI arXiv OpenURL
Liu, Jun; Wang, Zhu A ROM-accelerated parallel-in-time preconditioner for solving all-at-once systems in unsteady convection-diffusion PDEs. (English) Zbl 07442831 Appl. Math. Comput. 416, Article ID 126750, 18 p. (2022). MSC: 65Mxx 65Nxx 65Fxx PDF BibTeX XML Cite \textit{J. Liu} and \textit{Z. Wang}, Appl. Math. Comput. 416, Article ID 126750, 18 p. (2022; Zbl 07442831) Full Text: DOI arXiv OpenURL
Copeland, Dylan Matthew; Cheung, Siu Wun; Huynh, Kevin; Choi, Youngsoo Reduced order models for Lagrangian hydrodynamics. (English) Zbl 07442809 Comput. Methods Appl. Mech. Eng. 388, Article ID 114259, 43 p. (2022). MSC: 76-XX 86-XX PDF BibTeX XML Cite \textit{D. M. Copeland} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114259, 43 p. (2022; Zbl 07442809) Full Text: DOI arXiv OpenURL
Magino, Nicola; Köbler, Jonathan; Andrä, Heiko; Welschinger, Fabian; Müller, Ralf; Schneider, Matti A multiscale high-cycle fatigue-damage model for the stiffness degradation of fiber-reinforced materials based on a mixed variational framework. (English) Zbl 07442771 Comput. Methods Appl. Mech. Eng. 388, Article ID 114198, 33 p. (2022). MSC: 74-XX 92-XX PDF BibTeX XML Cite \textit{N. Magino} et al., Comput. Methods Appl. Mech. Eng. 388, Article ID 114198, 33 p. (2022; Zbl 07442771) Full Text: DOI OpenURL
Boscarino, Sebastiano; Cho, Seung Yeon On the order reduction of semi-Lagrangian methods for BGK model of Boltzmann equation. (English) Zbl 07413916 Appl. Math. Lett. 123, Article ID 107488, 9 p. (2022). MSC: 76-XX 82-XX PDF BibTeX XML Cite \textit{S. Boscarino} and \textit{S. Y. Cho}, Appl. Math. Lett. 123, Article ID 107488, 9 p. (2022; Zbl 07413916) Full Text: DOI OpenURL
Binder, Andreas; Jadhav, Onkar; Mehrmann, Volker Model order reduction for the simulation of parametric interest rate models in financial risk analysis. (English) Zbl 1485.65092 J. Math. Ind. 11, Paper No. 8, 34 p. (2021). MSC: 65M06 91G60 PDF BibTeX XML Cite \textit{A. Binder} et al., J. Math. Ind. 11, Paper No. 8, 34 p. (2021; Zbl 1485.65092) Full Text: DOI OpenURL
Exl, Lukas; Mauser, Norbert J.; Schaffer, Sebastian; Schrefl, Thomas; Suess, Dieter Prediction of magnetization dynamics in a reduced dimensional feature space setting utilizing a low-rank kernel method. (English) Zbl 07515472 J. Comput. Phys. 444, Article ID 110586, 20 p. (2021). MSC: 78Mxx 78Axx 68Txx PDF BibTeX XML Cite \textit{L. Exl} et al., J. Comput. Phys. 444, Article ID 110586, 20 p. (2021; Zbl 07515472) Full Text: DOI arXiv OpenURL
Baars, S.; Castellana, D.; Wubs, F. W.; Dijkstra, H. A. Application of adaptive multilevel splitting to high-dimensional dynamical systems. (English) Zbl 07508476 J. Comput. Phys. 424, Article ID 109876, 12 p. (2021). MSC: 65-XX 93-XX PDF BibTeX XML Cite \textit{S. Baars} et al., J. Comput. Phys. 424, Article ID 109876, 12 p. (2021; Zbl 07508476) Full Text: DOI Link OpenURL
Shirafkan, Nima; Gosselet, Pierre; Bamer, Franz; Oueslati, Abdelbacet; Markert, Bernd; de Saxcé, Géry Constructing the Hamiltonian from the behaviour of a dynamical system by proper symplectic decomposition. (English) Zbl 07495243 Nielsen, Frank (ed.) et al., Geometric science of information. 5th international conference, GSI 2021, Paris, France, July 21–23, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12829, 439-447 (2021). MSC: 37J06 37J39 53D05 70G45 PDF BibTeX XML Cite \textit{N. Shirafkan} et al., Lect. Notes Comput. Sci. 12829, 439--447 (2021; Zbl 07495243) Full Text: DOI arXiv OpenURL
Tian, Xuan; Guo, Shangjiang Spatio-temporal patterns of predator-prey model with Allee effect and constant stocking rate for predator. (English) Zbl 1486.35038 Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 16, Article ID 2150249, 19 p. (2021). MSC: 35B32 35B36 35K51 35K57 92D25 PDF BibTeX XML Cite \textit{X. Tian} and \textit{S. Guo}, Int. J. Bifurcation Chaos Appl. Sci. Eng. 31, No. 16, Article ID 2150249, 19 p. (2021; Zbl 1486.35038) Full Text: DOI OpenURL
Leibner, Tobias; Ohlberger, Mario A new entropy-variable-based discretization method for minimum entropy moment approximations of linear kinetic equations. (English) Zbl 07477255 ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2567-2608 (2021). MSC: 65-XX 35L40 35F61 65M08 65M70 82C70 PDF BibTeX XML Cite \textit{T. Leibner} and \textit{M. Ohlberger}, ESAIM, Math. Model. Numer. Anal. 55, No. 6, 2567--2608 (2021; Zbl 07477255) Full Text: DOI arXiv OpenURL
Li, Zhen; Jiang, Yao-Lin; Mu, Hong-liang Parametric model order reduction based on parallel tensor compression. (English) Zbl 1483.93043 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 11, 2201-2216 (2021). MSC: 93B11 93D20 15A69 PDF BibTeX XML Cite \textit{Z. Li} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 11, 2201--2216 (2021; Zbl 1483.93043) Full Text: DOI OpenURL
Zulfiqar, Umair; Sreeram, Victor; Ilyas Ahmad, Mian; Du, Xin Time- and frequency-limited \(\mathcal{H}_2\)-optimal model order reduction of bilinear control systems. (English) Zbl 1483.93051 Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 10, 1953-1973 (2021). MSC: 93B11 93C10 93C80 PDF BibTeX XML Cite \textit{U. Zulfiqar} et al., Int. J. Syst. Sci., Princ. Appl. Syst. Integr. 52, No. 10, 1953--1973 (2021; Zbl 1483.93051) Full Text: DOI arXiv OpenURL
Singh, Chhabindra Nath; Gupta, Akhilesh Kr.; Kumar, Deepak; Samuel, Paulson A mixed approach for model reduction using differential evolution and eigen permutation. (English) Zbl 1485.93103 Kumar, Rajesh (ed.) et al., Intelligent algorithms for analysis and control of dynamical systems. Selected papers based on the presentations at the the international conference on advances in systems, control and computing, AISCC-2020, Jaipur, India, February 27–28, 2020. Singapore: Springer. Algorithms Intell. Syst., 51-59 (2021). MSC: 93B11 93C15 93C35 PDF BibTeX XML Cite \textit{C. N. Singh} et al., in: Intelligent algorithms for analysis and control of dynamical systems. Selected papers based on the presentations at the the international conference on advances in systems, control and computing, AISCC-2020, Jaipur, India, February 27--28, 2020. Singapore: Springer. 51--59 (2021; Zbl 1485.93103) Full Text: DOI OpenURL
Honda, Fumiaki; Kurosawa, Takeshi Bias reduction of a conditional maximum likelihood estimator for a Gaussian second-order moving average model. (English) Zbl 1478.62256 Mod. Stoch., Theory Appl. 8, No. 4, 435-463 (2021). MSC: 62M10 62F10 60G10 PDF BibTeX XML Cite \textit{F. Honda} and \textit{T. Kurosawa}, Mod. Stoch., Theory Appl. 8, No. 4, 435--463 (2021; Zbl 1478.62256) Full Text: DOI OpenURL
Ma, Li; Feng, Zhaosheng Stability and bifurcation in a two-species reaction-diffusion-advection competition model with time delay. (English) Zbl 1481.35039 Nonlinear Anal., Real World Appl. 61, Article ID 103327, 32 p. (2021). MSC: 35B32 35K51 35K57 35R10 92D25 PDF BibTeX XML Cite \textit{L. Ma} and \textit{Z. Feng}, Nonlinear Anal., Real World Appl. 61, Article ID 103327, 32 p. (2021; Zbl 1481.35039) Full Text: DOI OpenURL
Pulch, Roland Frequency domain integrals for stability preservation in Galerkin-type projection-based model order reduction. (English) Zbl 1480.93061 Int. J. Control 94, No. 7, 1734-1750 (2021). MSC: 93B11 93D20 93C80 93C15 34A09 PDF BibTeX XML Cite \textit{R. Pulch}, Int. J. Control 94, No. 7, 1734--1750 (2021; Zbl 1480.93061) Full Text: DOI arXiv OpenURL
Köhler, Alexander; Breuß, Michael Towards efficient time stepping for numerical shape correspondence. (English) Zbl 1484.68258 Elmoataz, Abderrahim (ed.) et al., Scale space and variational methods in computer vision. 8th international conference, SSVM 2021, virtual event, May 16–20, 2021. Proceedings. Cham: Springer. Lect. Notes Comput. Sci. 12679, 165-176 (2021). MSC: 68T45 35K05 35L05 35Q68 58J35 PDF BibTeX XML Cite \textit{A. Köhler} and \textit{M. Breuß}, Lect. Notes Comput. Sci. 12679, 165--176 (2021; Zbl 1484.68258) Full Text: DOI OpenURL
Wang, Wen; Wang, Yue; Wang, Wenhui; Xiao, Zhihua Model order reduction based on low-rank decomposition of the cross Gramian for non-symmetric linear systems. (Chinese. English summary) Zbl 1488.93019 J. Syst. Sci. Math. Sci. 41, No. 4, 927-938 (2021). MSC: 93B11 93C05 PDF BibTeX XML Cite \textit{W. Wang} et al., J. Syst. Sci. Math. Sci. 41, No. 4, 927--938 (2021; Zbl 1488.93019) OpenURL
Karachalios, Dimitrios S.; Gosea, Ion Victor; Antoulas, Athanasios C. The Loewner framework for system identification and reduction. (English) Zbl 07445316 Benner, Peter (ed.) et al., Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 181-228 (2021). MSC: 65-XX 68-XX PDF BibTeX XML Cite \textit{D. S. Karachalios} et al., in: Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 181--228 (2021; Zbl 07445316) Full Text: DOI OpenURL
Benner, Peter; Grivet-Talocia, Stefano; Quarteroni, Alfio; Rozza, Gianluigi; Schilders, Wil; Silveira, Luís Miguel Model order reduction: basic concepts and notation. (English) Zbl 1480.93046 Benner, Peter (ed.) et al., Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 1-14 (2021). MSC: 93B11 93C10 93C20 PDF BibTeX XML Cite \textit{P. Benner} et al., in: Model order reduction. Volume 1: System- and data-driven methods and algorithms. Berlin: De Gruyter. 1--14 (2021; Zbl 1480.93046) Full Text: DOI OpenURL
Wang, Zheng; Cong, Yuhao; Hu, Xiulin Static output feedback stabilization for second-order singular systems using model reduction methods. (English) Zbl 07445027 AMM, Appl. Math. Mech., Engl. Ed. 42, No. 3, 457-466 (2021). MSC: 93D15 93B11 93B60 93A15 PDF BibTeX XML Cite \textit{Z. Wang} et al., AMM, Appl. Math. Mech., Engl. Ed. 42, No. 3, 457--466 (2021; Zbl 07445027) Full Text: DOI OpenURL
Yildiz, Süleyman; Uzunca, Murat; Karasözen, Bülent Structure-preserving reduced-order modeling of non-traditional shallow water equation. (English) Zbl 1480.93068 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, 327-345 (2021). MSC: 93B11 93C20 93C15 65M06 PDF BibTeX XML Cite \textit{S. Yildiz} et al., ISNM, Int. Ser. Numer. Math. 171, 327--345 (2021; Zbl 1480.93068) Full Text: DOI arXiv OpenURL
Jungiewicz, Artur; Ludwig, Christoph; Sun, Shuwen; Wever, Utz; Wüchner, Roland A practical method for the reduction of linear thermo-mechanical dynamic equations. (English) Zbl 1480.93054 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, 219-235 (2021). MSC: 93B11 93C20 35K05 93C05 PDF BibTeX XML Cite \textit{A. Jungiewicz} et al., ISNM, Int. Ser. Numer. Math. 171, 219--235 (2021; Zbl 1480.93054) Full Text: DOI OpenURL
Lordejani, Sajad Naderi; Besselink, Bart; Chaillet, Antoine; De Wouw, Nathan van On extended model order reduction for linear time delay systems. (English) Zbl 1480.93057 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, 191-215 (2021). MSC: 93B11 93C23 93C43 93C05 93B05 93B07 PDF BibTeX XML Cite \textit{S. N. Lordejani} et al., ISNM, Int. Ser. Numer. Math. 171, 191--215 (2021; Zbl 1480.93057) Full Text: DOI OpenURL
Manvelyan, Diana; Simeon, Bernd; Wever, Utz An efficient model order reduction scheme for dynamic contact in linear elasticity. (English) Zbl 1479.74093 Comput. Mech. 68, No. 6, 1283-1295 (2021). MSC: 74M15 74B05 74S99 90C33 PDF BibTeX XML Cite \textit{D. Manvelyan} et al., Comput. Mech. 68, No. 6, 1283--1295 (2021; Zbl 1479.74093) Full Text: DOI arXiv OpenURL
Friderikos, Orestis; Olive, Marc; Baranger, Emmanuel; Sagris, Dimitris; David, Constantine A non-intrusive space-time interpolation from compact Stiefel manifolds of parametrized rigid-viscoplastic FEM problems. (English) Zbl 1478.74080 Comput. Mech. 68, No. 4, 861-883 (2021). MSC: 74S05 74C10 53Z05 PDF BibTeX XML Cite \textit{O. Friderikos} et al., Comput. Mech. 68, No. 4, 861--883 (2021; Zbl 1478.74080) Full Text: DOI arXiv OpenURL
Li, Yanpeng; Jiang, Yaolin; Yang, Ping Time domain model order reduction of discrete-time bilinear systems with Charlier polynomials. (English) Zbl 07431551 Math. Comput. Simul. 190, 905-920 (2021). MSC: 93-XX 65-XX PDF BibTeX XML Cite \textit{Y. Li} et al., Math. Comput. Simul. 190, 905--920 (2021; Zbl 07431551) Full Text: DOI OpenURL
Malik, Rahila; Alam, Mehboob; Muhammad, Shah; Hussain, Rashida; Ali, Asghar; Akram, Namra; Duraihem, Faisal Zaid; Haq, Anwar Ul Statistically inspired multi-shift Arnoldi projection for on-chip interconnects. (English) Zbl 07431524 Math. Comput. Simul. 190, 418-428 (2021). MSC: 93-XX 68-XX PDF BibTeX XML Cite \textit{R. Malik} et al., Math. Comput. Simul. 190, 418--428 (2021; Zbl 07431524) Full Text: DOI OpenURL
Benner, Peter; Gugercin, Serkan; Werner, Steffen W. R. Structure-preserving interpolation for model reduction of parametric bilinear systems. (English) Zbl 1478.93079 Automatica 132, Article ID 109799, 9 p. (2021). MSC: 93B11 93C10 PDF BibTeX XML Cite \textit{P. Benner} et al., Automatica 132, Article ID 109799, 9 p. (2021; Zbl 1478.93079) Full Text: DOI arXiv OpenURL
Uzunca, Murat; Karasözen, Bülent; Yıldız, Süleyman Structure-preserving reduced-order modeling of Korteweg-de Vries equation. (English) Zbl 07428995 Math. Comput. Simul. 188, 193-211 (2021). MSC: 65-XX 35-XX PDF BibTeX XML Cite \textit{M. Uzunca} et al., Math. Comput. Simul. 188, 193--211 (2021; Zbl 07428995) Full Text: DOI arXiv OpenURL
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 PDF BibTeX XML Cite \textit{G. Vasu} et al., Appl. Math. Modelling 97, 683--700 (2021; Zbl 1481.93079) Full Text: DOI OpenURL
Cammarata, Alessandro Global modes for the reduction of flexible multibody systems. Methodology and complexity. (English) Zbl 1483.70020 Multibody Syst. Dyn. 53, No. 1, 59-83 (2021). MSC: 70E55 PDF BibTeX XML Cite \textit{A. Cammarata}, Multibody Syst. Dyn. 53, No. 1, 59--83 (2021; Zbl 1483.70020) Full Text: DOI OpenURL
Sarna, Neeraj; Benner, Peter Data-driven model order reduction for problems with parameter-dependent jump-discontinuities. (English) Zbl 07427403 Comput. Methods Appl. Mech. Eng. 387, Article ID 114168, 30 p. (2021). MSC: 65-XX 35-XX PDF BibTeX XML Cite \textit{N. Sarna} and \textit{P. Benner}, Comput. Methods Appl. Mech. Eng. 387, Article ID 114168, 30 p. (2021; Zbl 07427403) Full Text: DOI arXiv OpenURL
Gierden, Christian; Waimann, Johanna; Svendsen, Bob; Reese, Stefanie A geometrically adapted reduced set of frequencies for a FFT-based microstructure simulation. (English) Zbl 07427360 Comput. Methods Appl. Mech. Eng. 386, Article ID 114131, 23 p. (2021). MSC: 76-XX 74-XX PDF BibTeX XML Cite \textit{C. Gierden} et al., Comput. Methods Appl. Mech. Eng. 386, Article ID 114131, 23 p. (2021; Zbl 07427360) Full Text: DOI arXiv OpenURL
Xie, Xiang; Liu, Yijun Efficient multi-frequency solutions of FE-be coupled structural-acoustic problems using Arnoldi-based dimension reduction approach. (English) Zbl 07427358 Comput. Methods Appl. Mech. Eng. 386, Article ID 114126, 18 p. (2021). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{X. Xie} and \textit{Y. Liu}, Comput. Methods Appl. Mech. Eng. 386, Article ID 114126, 18 p. (2021; Zbl 07427358) Full Text: DOI OpenURL
Cao, Xingang; Benner, Peter; Pontes Duff, Igor; Schilders, Wil Model order reduction for bilinear control systems with inhomogeneous initial conditions. (English) Zbl 1478.93080 Int. J. Control 94, No. 10, 2886-2895 (2021). MSC: 93B11 93C10 93C35 PDF BibTeX XML Cite \textit{X. Cao} et al., Int. J. Control 94, No. 10, 2886--2895 (2021; Zbl 1478.93080) Full Text: DOI OpenURL
Ahmed, Shady E.; Pawar, Suraj; San, Omer; Rasheed, Adil; Tabib, Mandar A nudged hybrid analysis and modeling approach for realtime wake-vortex transport and decay prediction. (English) Zbl 07426209 Comput. Fluids 221, Article ID 104895, 14 p. (2021). MSC: 76-XX PDF BibTeX XML Cite \textit{S. E. Ahmed} et al., Comput. Fluids 221, Article ID 104895, 14 p. (2021; Zbl 07426209) Full Text: DOI arXiv OpenURL
Hammadi, Youssef; Ryckelynck, David; El-Bakkali, Amin Data-driven reduced bond graph for nonlinear multiphysics dynamic systems. (English) Zbl 07425000 Appl. Math. Comput. 409, Article ID 126359, 16 p. (2021). MSC: 93Bxx 93Axx 34Axx 65Lxx 68Txx PDF BibTeX XML Cite \textit{Y. Hammadi} et al., Appl. Math. Comput. 409, Article ID 126359, 16 p. (2021; Zbl 07425000) Full Text: DOI arXiv OpenURL
Redmann, Martin; Freitag, Melina A. Optimization based model order reduction for stochastic systems. (English) Zbl 07422825 Appl. Math. Comput. 398, Article ID 125783, 19 p. (2021). MSC: 93A15 93B40 65C30 93E03 PDF BibTeX XML Cite \textit{M. Redmann} and \textit{M. A. Freitag}, Appl. Math. Comput. 398, Article ID 125783, 19 p. (2021; Zbl 07422825) Full Text: DOI arXiv OpenURL
Nobile, Fabio; Pradovera, Davide Non-intrusive double-greedy parametric model reduction by interpolation of frequency-domain rational surrogates. (English) Zbl 07420192 ESAIM, Math. Model. Numer. Anal. 55, No. 5, 1895-1920 (2021). MSC: 65-XX 35B30 35P15 41A20 41A63 93C35 93C80 PDF BibTeX XML Cite \textit{F. Nobile} and \textit{D. Pradovera}, ESAIM, Math. Model. Numer. Anal. 55, No. 5, 1895--1920 (2021; Zbl 07420192) Full Text: DOI arXiv OpenURL
Im, Sunyoung; Lee, Jonggeon; Cho, Maenghyo Surrogate modeling of elasto-plastic problems via long short-term memory neural networks and proper orthogonal decomposition. (English) Zbl 07415676 Comput. Methods Appl. Mech. Eng. 385, Article ID 114030, 43 p. (2021). MSC: 74-XX 92-XX PDF BibTeX XML Cite \textit{S. Im} et al., Comput. Methods Appl. Mech. Eng. 385, Article ID 114030, 43 p. (2021; Zbl 07415676) Full Text: DOI OpenURL
Bhouri, Mohamed Aziz; Patera, Anthony T. A two-level parameterized model-order reduction approach for time-domain elastodynamics. (English) Zbl 07415651 Comput. Methods Appl. Mech. Eng. 385, Article ID 114004, 27 p. (2021). MSC: 65-XX 93-XX PDF BibTeX XML Cite \textit{M. A. Bhouri} and \textit{A. T. Patera}, Comput. Methods Appl. Mech. Eng. 385, Article ID 114004, 27 p. (2021; Zbl 07415651) Full Text: DOI arXiv OpenURL
Lee, SiHun; Jang, Kijoo; Cho, Haeseong; Kim, Haedong; Shin, SangJoon Parametric non-intrusive model order reduction for flow-fields using unsupervised machine learning. (English) Zbl 07415281 Comput. Methods Appl. Mech. Eng. 384, Article ID 113999, 24 p. (2021). MSC: 76-XX 86-XX PDF BibTeX XML Cite \textit{S. Lee} et al., Comput. Methods Appl. Mech. Eng. 384, Article ID 113999, 24 p. (2021; Zbl 07415281) Full Text: DOI OpenURL
Taddei, Tommaso; Zhang, Lei A discretize-then-map approach for the treatment of parameterized geometries in model order reduction. (English) Zbl 07415254 Comput. Methods Appl. Mech. Eng. 384, Article ID 113956, 26 p. (2021). MSC: 65N30 41A45 35J57 PDF BibTeX XML Cite \textit{T. Taddei} and \textit{L. Zhang}, Comput. Methods Appl. Mech. Eng. 384, Article ID 113956, 26 p. (2021; Zbl 07415254) Full Text: DOI arXiv OpenURL
Waseem, Abdullah; Heuzé, Thomas; Geers, Marc G. D.; Kouznetsova, Varvara G.; Stainier, Laurent Data-driven reduced homogenization for transient diffusion problems with emergent history effects. (English) Zbl 07414313 Comput. Methods Appl. Mech. Eng. 380, Article ID 113773, 27 p. (2021). MSC: 35-XX 74-XX PDF BibTeX XML Cite \textit{A. Waseem} et al., Comput. Methods Appl. Mech. Eng. 380, Article ID 113773, 27 p. (2021; Zbl 07414313) Full Text: DOI HAL OpenURL
Pegolotti, Luca; Pfaller, Martin R.; Marsden, Alison L.; Deparis, Simone Model order reduction of flow based on a modular geometrical approximation of blood vessels. (English) Zbl 07414308 Comput. Methods Appl. Mech. Eng. 380, Article ID 113762, 28 p. (2021). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{L. Pegolotti} et al., Comput. Methods Appl. Mech. Eng. 380, Article ID 113762, 28 p. (2021; Zbl 07414308) Full Text: DOI arXiv OpenURL
Hale, Jack S.; Schenone, Elisa; Baroli, Davide; Beex, Lars A. A.; Bordas, Stéphane P. A. A hyper-reduction method using adaptivity to cut the assembly costs of reduced order models. (English) Zbl 07414303 Comput. Methods Appl. Mech. Eng. 380, Article ID 113723, 27 p. (2021). MSC: 74-XX 65-XX PDF BibTeX XML Cite \textit{J. S. Hale} et al., Comput. Methods Appl. Mech. Eng. 380, Article ID 113723, 27 p. (2021; Zbl 07414303) Full Text: DOI OpenURL
Patel, Dhruv V.; Oberai, Assad A. GAN-based priors for quantifying uncertainty in supervised learning. (English) Zbl 1473.62092 SIAM/ASA J. Uncertain. Quantif. 9, 1314-1343 (2021). MSC: 62F15 68T37 68T07 62-04 PDF BibTeX XML Cite \textit{D. V. Patel} and \textit{A. A. Oberai}, SIAM/ASA J. Uncertain. Quantif. 9, 1314--1343 (2021; Zbl 1473.62092) Full Text: DOI OpenURL
Chkifa, A.; Hamadi, M. A.; Jbilou, K.; Ratnani, A. A computational method for model reduction in index-2 dynamical systems for Stokes equations. (English) Zbl 07411567 Comput. Math. Appl. 99, 171-181 (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{A. Chkifa} et al., Comput. Math. Appl. 99, 171--181 (2021; Zbl 07411567) Full Text: DOI OpenURL
Izbassarov, Daulet; Rosti, Marco E.; Brandt, Luca; Tammisola, Outi Effect of finite Weissenberg number on turbulent channel flows of an elastoviscoplastic fluid. (English) Zbl 07409306 J. Fluid Mech. 927, Paper No. A45, 33 p. (2021). MSC: 76A10 76F10 76F65 76M20 PDF BibTeX XML Cite \textit{D. Izbassarov} et al., J. Fluid Mech. 927, Paper No. A45, 33 p. (2021; Zbl 07409306) Full Text: DOI OpenURL
Keil, Tim; Mechelli, Luca; Ohlberger, Mario; Schindler, Felix; Volkwein, Stefan A non-conforming dual approach for adaptive trust-region reduced basis approximation of PDE-constrained parameter optimization. (English) Zbl 07405597 ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1239-1269 (2021). MSC: 90C30 35J20 65N30 90C06 PDF BibTeX XML Cite \textit{T. Keil} et al., ESAIM, Math. Model. Numer. Anal. 55, No. 3, 1239--1269 (2021; Zbl 07405597) Full Text: DOI arXiv OpenURL
Meng, Lihong; Yang, Xu; Zulfiqar, Umair; Du, Xin Minimal realization and approximation of commensurate linear fractional-order systems via Loewner matrix method. (English) Zbl 1471.93046 Math. Biosci. Eng. 18, No. 2, 1063-1076 (2021). MSC: 93B11 93B15 93B25 26A33 PDF BibTeX XML Cite \textit{L. Meng} et al., Math. Biosci. Eng. 18, No. 2, 1063--1076 (2021; Zbl 1471.93046) Full Text: DOI OpenURL
Jiang, Yao-Lin; Xu, Kang-Li Frequency-limited reduced models for linear and bilinear systems on the Riemannian manifold. (English) Zbl 1471.93182 IEEE Trans. Autom. Control 66, No. 9, 3938-3951 (2021). MSC: 93C80 93B11 93B05 93B07 PDF BibTeX XML Cite \textit{Y.-L. Jiang} and \textit{K.-L. Xu}, IEEE Trans. Autom. Control 66, No. 9, 3938--3951 (2021; Zbl 1471.93182) Full Text: DOI OpenURL
Aschenbruck, Tim; Baumann, Manuel; Esterhuizen, Willem; Filipecki, Bartosz; Grundel, Sara; Helmberg, Christoph; Ritschel, Tobias K. S.; Sauerteig, Philipp; Streif, Stefan; Worthmann, Karl Optimization and stabilization of hierarchical electrical networks. (English) Zbl 1471.93117 Göttlich, Simone (ed.) et al., Mathematical modeling, simulation and optimization for power engineering and management. Cham: Springer. Math. Ind. 34, 171-198 (2021). MSC: 93B70 93A15 93C95 93B11 PDF BibTeX XML Cite \textit{T. Aschenbruck} et al., Math. Ind. 34, 171--198 (2021; Zbl 1471.93117) Full Text: DOI OpenURL