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: 74-XX PDF BibTeX XML Cite \textit{O. Friderikos} et al., Comput. Mech. 70, No. 1, 181--204 (2022; Zbl 07548526) Full Text: DOI OpenURL
Alghosoun, Alia; El Mocayd, Nabil; Seaid, Mohammed A nonintrusive reduced-order model for uncertainty quantification in numerical solution of one-dimensional free-surface water flows over stochastic beds. (English) Zbl 07547374 Int. J. Comput. Methods 19, No. 4, Article ID 2150073, 38 p. (2022). MSC: 76-XX 86-XX PDF BibTeX XML Cite \textit{A. Alghosoun} et al., Int. J. Comput. Methods 19, No. 4, Article ID 2150073, 38 p. (2022; Zbl 07547374) Full Text: DOI OpenURL
Saffarian, Marziyeh; Mohebbi, Akbar Reduced proper orthogonal decomposition spectral element method for the solution of 2D multi-term time fractional mixed diffusion and diffusion-wave equations in linear and nonlinear modes. (English) Zbl 07546682 Comput. Math. Appl. 117, 127-154 (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{M. Saffarian} and \textit{A. Mohebbi}, Comput. Math. Appl. 117, 127--154 (2022; Zbl 07546682) Full Text: DOI OpenURL
Albarakati, Aishah; Budišić, Marko; Crocker, Rose; Glass-Klaiber, Juniper; Iams, Sarah; Maclean, John; Marshall, Noah; Roberts, Colin; Van Vleck, Erik S. Model and data reduction for data assimilation: particle filters employing projected forecasts and data with application to a shallow water model. (English) Zbl 07546667 Comput. Math. Appl. 116, 194-211 (2022). MSC: 86-XX 76-XX PDF BibTeX XML Cite \textit{A. Albarakati} et al., Comput. Math. Appl. 116, 194--211 (2022; Zbl 07546667) Full Text: DOI OpenURL
Andrej, Julian; Grüne, Lars; Mechelli, Luca; Meurer, Thomas; Pirkelmann, Simon; Volkwein, Stefan Parallelized POD-based suboptimal economic model predictive control of a state-constrained Boussinesq approximation. (English) Zbl 07546659 Comput. Math. Appl. 116, 71-81 (2022). MSC: 49-XX 93-XX PDF BibTeX XML Cite \textit{J. Andrej} et al., Comput. Math. Appl. 116, 71--81 (2022; Zbl 07546659) Full Text: DOI 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
Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi POD-Galerkin model order reduction for parametrized nonlinear time-dependent optimal flow control: an application to shallow water equations. (English) Zbl 07542959 J. Numer. Math. 30, No. 1, 63-84 (2022). MSC: 65M60 49M41 76N99 PDF BibTeX XML Cite \textit{M. Strazzullo} et al., J. Numer. Math. 30, No. 1, 63--84 (2022; Zbl 07542959) Full Text: DOI OpenURL
Bai, Feng; Wang, Yi A reduced order modeling method based on GNAT-embedded hybrid snapshot simulation. (English) Zbl 07538452 Math. Comput. Simul. 199, 100-132 (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{F. Bai} and \textit{Y. Wang}, Math. Comput. Simul. 199, 100--132 (2022; Zbl 07538452) Full Text: DOI OpenURL
Pasini, Massimiliano Lupo; Perotto, Simona Hierarchical model reduction driven by a proper orthogonal decomposition for parametrized advection-diffusion-reaction problems. (English) Zbl 07538246 ETNA, Electron. Trans. Numer. Anal. 55, 187-212 (2022). MSC: 65N30 65N35 65T40 PDF BibTeX XML Cite \textit{M. L. Pasini} and \textit{S. Perotto}, ETNA, Electron. Trans. Numer. Anal. 55, 187--212 (2022; Zbl 07538246) Full Text: DOI OpenURL
Yang, Yannian; Pröbsting, Stefan; Li, Pengyu; Liu, Yu; Li, Ye A secondary modulation mechanism for aerofoil tonal self-noise generation. (English) Zbl 07537802 J. Fluid Mech. 943, Paper No. A13, 37 p. (2022). MSC: 76Q05 76N20 76-05 PDF BibTeX XML Cite \textit{Y. Yang} et al., J. Fluid Mech. 943, Paper No. A13, 37 p. (2022; Zbl 07537802) Full Text: DOI OpenURL
García-Archilla, Bosco; Novo, Julia; Rubino, Samuele Error analysis of proper orthogonal decomposition data assimilation schemes with grad-div stabilization for the Navier-Stokes equations. (English) Zbl 07531708 J. Comput. Appl. Math. 411, Article ID 114246, 30 p. (2022). MSC: 65M60 35Q30 65M12 65M15 65M20 76D55 PDF BibTeX XML Cite \textit{B. García-Archilla} et al., J. Comput. Appl. Math. 411, Article ID 114246, 30 p. (2022; Zbl 07531708) Full Text: DOI OpenURL
Piao, Guang-Ri; Yao, Fuxia; Zhao, Wenju Reduced basis finite element methods for the Korteweg-de Vries-Burgers equation. (English) Zbl 07524476 Int. J. Numer. Anal. Model. 19, No. 2-3, 369-385 (2022). MSC: 65-XX 35G61 65D07 65M15 65M60 PDF BibTeX XML Cite \textit{G.-R. Piao} et al., Int. J. Numer. Anal. Model. 19, No. 2--3, 369--385 (2022; Zbl 07524476) Full Text: Link OpenURL
Kirsten, Gerhard Multilinear POD-DEIM model reduction for 2D and 3D semilinear systems of differential equations. (English) Zbl 07524353 J. Comput. Dyn. 9, No. 2, 159-183 (2022). MSC: 37M99 15A21 15A24 15A69 65N06 PDF BibTeX XML Cite \textit{G. Kirsten}, J. Comput. Dyn. 9, No. 2, 159--183 (2022; Zbl 07524353) Full Text: DOI OpenURL
Luo, Zhendong; Yang, Jing The reduced-order method of continuous space-time finite element scheme for the non-stationary incompressible flows. (English) Zbl 07518115 J. Comput. Phys. 456, Article ID 111044, 22 p. (2022). MSC: 65Mxx 76Mxx 76Dxx PDF BibTeX XML Cite \textit{Z. Luo} and \textit{J. Yang}, J. Comput. Phys. 456, Article ID 111044, 22 p. (2022; Zbl 07518115) Full Text: DOI OpenURL
Cao, Xiulei; Fraser, Kirk; Song, Zilong; Drummond, Chris; Huang, Huaxiong Machine learning and reduced order computation of a friction stir welding model. (English) Zbl 07518046 J. Comput. Phys. 454, Article ID 110863, 20 p. (2022). MSC: 65Mxx 76Mxx 76Dxx PDF BibTeX XML Cite \textit{X. Cao} et al., J. Comput. Phys. 454, Article ID 110863, 20 p. (2022; Zbl 07518046) Full Text: DOI OpenURL
Amor, Christian; Pérez, José M.; Schlatter, Philipp; Vinuesa, Ricardo; Le Clainche, Soledad Modeling the turbulent wake behind a wall-mounted square cylinder. (English) Zbl 07517092 Log. J. IGPL 30, No. 2, 263-276 (2022). MSC: 03-XX 68-XX PDF BibTeX XML Cite \textit{C. Amor} et al., Log. J. IGPL 30, No. 2, 263--276 (2022; Zbl 07517092) Full Text: DOI OpenURL
Wang, Chen; Qi, Zheng; Zheng, Yu; Duan, Huishen; Chen, Anhong; Du, Fan; Xu, Jiakuan; Li, Guoshu; Xia, Qiang Greedy non-intrusive reduced-order model’s application in dynamic blowing and suction flow control to suppress the flow separation. (English) Zbl 07512550 Comput. Fluids 237, Article ID 105337, 10 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{C. Wang} et al., Comput. Fluids 237, Article ID 105337, 10 p. (2022; Zbl 07512550) Full Text: DOI OpenURL
Deep, Dewanshu; Sahasranaman, Ashwin; Senthilkumar, S. POD analysis of the wake behind a circular cylinder with splitter plate. (English) Zbl 07508539 Eur. J. Mech., B, Fluids 93, 1-12 (2022). MSC: 76D25 76D17 76D05 76M12 PDF BibTeX XML Cite \textit{D. Deep} et al., Eur. J. Mech., B, Fluids 93, 1--12 (2022; Zbl 07508539) Full Text: DOI OpenURL
Krah, Philipp; Engels, Thomas; Schneider, Kai; Reiss, Julius Wavelet adaptive proper orthogonal decomposition for large-scale flow data. (English) Zbl 07506435 Adv. Comput. Math. 48, No. 2, Paper No. 10, 40 p. (2022). MSC: 65Mxx PDF BibTeX XML Cite \textit{P. Krah} et al., Adv. Comput. Math. 48, No. 2, Paper No. 10, 40 p. (2022; Zbl 07506435) Full Text: DOI OpenURL
Timokhin, Ivan V.; Matveev, Sergey A.; Tyrtyshnikov, Eugene E.; Smirnov, Alexander P. Model reduction in Smoluchowski-type equations. (English) Zbl 07496536 Russ. J. Numer. Anal. Math. Model. 37, No. 1, 63-72 (2022). MSC: 65L05 PDF BibTeX XML Cite \textit{I. V. Timokhin} et al., Russ. J. Numer. Anal. Math. Model. 37, No. 1, 63--72 (2022; Zbl 07496536) Full Text: DOI OpenURL
Song, Junpeng; Rui, Hongxing A reduced-order characteristic finite element method based on POD for optimal control problem governed by convection-diffusion equation. (English) Zbl 07487670 Comput. Methods Appl. Mech. Eng. 391, Article ID 114538, 19 p. (2022). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{J. Song} and \textit{H. Rui}, Comput. Methods Appl. Mech. Eng. 391, Article ID 114538, 19 p. (2022; Zbl 07487670) Full Text: DOI OpenURL
Wu, Zhizhang; Zhang, Zhiwen An iterative algorithm for POD basis adaptation in solving parametric convection-diffusion equations. (English) Zbl 07487656 Comput. Methods Appl. Mech. Eng. 391, Article ID 114498, 21 p. (2022). MSC: 35B30 65M12 65M50 76R99 78M34 PDF BibTeX XML Cite \textit{Z. Wu} and \textit{Z. Zhang}, Comput. Methods Appl. Mech. Eng. 391, Article ID 114498, 21 p. (2022; Zbl 07487656) Full Text: DOI OpenURL
Fiore, M.; Daroukh, M.; Montagnac, M. Loss assessment of the NASA SDT configuration using LES with phase-lagged assumption. (English) Zbl 07487182 Comput. Fluids 234, Article ID 105256, 19 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{M. Fiore} et al., Comput. Fluids 234, Article ID 105256, 19 p. (2022; Zbl 07487182) Full Text: DOI OpenURL
Li, Huanrong; Wang, Dongmei A modified finite volume element method for solving the phase field Allen-Cahn model. (English) Zbl 07478986 Appl. Math. Lett. 127, Article ID 107860, 8 p. (2022). MSC: 65Mxx 74-XX PDF BibTeX XML Cite \textit{H. Li} and \textit{D. Wang}, Appl. Math. Lett. 127, Article ID 107860, 8 p. (2022; Zbl 07478986) Full Text: DOI OpenURL
Zhao, Jijing; Rui, Hongxing; Song, Junpeng A reduced-order Weak Galerkin finite element algorithm based on POD technique for parabolic problem on polytopal mesh. (English) Zbl 07478980 Appl. Math. Lett. 127, Article ID 107842, 9 p. (2022). MSC: 65Mxx 76-XX PDF BibTeX XML Cite \textit{J. Zhao} et al., Appl. Math. Lett. 127, Article ID 107842, 9 p. (2022; Zbl 07478980) Full Text: DOI OpenURL
Gupta, Rachit; Jaiman, Rajeev A hybrid partitioned deep learning methodology for moving interface and fluid-structure interaction. (English) Zbl 07464443 Comput. Fluids 233, Article ID 105239, 24 p. (2022). MSC: 76-XX PDF BibTeX XML Cite \textit{R. Gupta} and \textit{R. Jaiman}, Comput. Fluids 233, Article ID 105239, 24 p. (2022; Zbl 07464443) 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
Nguyen, Minh-Nhan; Kim, Hyun-Gyu An efficient PODI method for real-time simulation of indenter contact problems using RBF interpolation and contact domain decomposition. (English) Zbl 07442785 Comput. Methods Appl. Mech. Eng. 388, Article ID 114215, 23 p. (2022). MSC: 74-XX 65-XX PDF BibTeX XML Cite \textit{M.-N. Nguyen} and \textit{H.-G. Kim}, Comput. Methods Appl. Mech. Eng. 388, Article ID 114215, 23 p. (2022; Zbl 07442785) Full Text: DOI OpenURL
Fresca, Stefania; Manzoni, Andrea POD-DL-ROM: enhancing deep learning-based reduced order models for nonlinear parametrized PDEs by proper orthogonal decomposition. (English) Zbl 07442762 Comput. Methods Appl. Mech. Eng. 388, Article ID 114181, 27 p. (2022). MSC: 65-XX 92-XX PDF BibTeX XML Cite \textit{S. Fresca} and \textit{A. Manzoni}, Comput. Methods Appl. Mech. Eng. 388, Article ID 114181, 27 p. (2022; Zbl 07442762) Full Text: DOI arXiv OpenURL
Deng, Qiuxiang; Luo, Zhendong A reduced-order extrapolated finite difference iterative scheme for uniform transmission line equation. (English) Zbl 1484.65178 Appl. Numer. Math. 172, 514-524 (2022). MSC: 65M06 65M12 PDF BibTeX XML Cite \textit{Q. Deng} and \textit{Z. Luo}, Appl. Numer. Math. 172, 514--524 (2022; Zbl 1484.65178) 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
Girfoglio, Michele; Quaini, Annalisa; Rozza, Gianluigi A POD-Galerkin reduced order model for a LES filtering approach. (English) Zbl 07513841 J. Comput. Phys. 436, Article ID 110260, 21 p. (2021). MSC: 76Mxx 76Dxx 65Mxx PDF BibTeX XML Cite \textit{M. Girfoglio} et al., J. Comput. Phys. 436, Article ID 110260, 21 p. (2021; Zbl 07513841) Full Text: DOI OpenURL
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 PDF BibTeX XML Cite \textit{S. Dutta} et al., J. Comput. Phys. 439, Article ID 110378, 30 p. (2021; Zbl 07512322) Full Text: DOI OpenURL
Mouradi, Rem-Sophia; Goeury, Cédric; Thual, Olivier; Zaoui, Fabrice; Tassi, Pablo Physically interpretable machine learning algorithm on multidimensional non-linear fields. (English) Zbl 07511429 J. Comput. Phys. 428, Article ID 110074, 34 p. (2021). MSC: 68-XX 94-XX PDF BibTeX XML Cite \textit{R.-S. Mouradi} et al., J. Comput. Phys. 428, Article ID 110074, 34 p. (2021; Zbl 07511429) Full Text: DOI OpenURL
Krath, Elizabeth H.; Carpenter, Forrest L.; Cizmas, Paul G. A.; Johnston, David A. An efficient proper orthogonal decomposition based reduced-order model for compressible flows. (English) Zbl 07510072 J. Comput. Phys. 426, Article ID 109959, 22 p. (2021). MSC: 76-XX 65-XX PDF BibTeX XML Cite \textit{E. H. Krath} et al., J. Comput. Phys. 426, Article ID 109959, 22 p. (2021; Zbl 07510072) Full Text: DOI OpenURL
Oulghelou, M.; Allery, C. Non intrusive method for parametric model order reduction using a bi-calibrated interpolation on the Grassmann manifold. (English) Zbl 07510048 J. Comput. Phys. 426, Article ID 109924, 16 p. (2021). MSC: 74-XX 65-XX PDF BibTeX XML Cite \textit{M. Oulghelou} and \textit{C. Allery}, J. Comput. Phys. 426, Article ID 109924, 16 p. (2021; Zbl 07510048) Full Text: DOI OpenURL
Abbaszadeh, Mostafa; Dehghan, Mehdi; Khodadadian, Amirreza; Noii, Nima; Heitzinger, Clemens; Wick, Thomas A reduced-order variational multiscale interpolating element free Galerkin technique based on proper orthogonal decomposition for solving Navier-Stokes equations coupled with a heat transfer equation: nonstationary incompressible Boussinesq equations. (English) Zbl 07510038 J. Comput. Phys. 426, Article ID 109875, 27 p. (2021). MSC: 80-XX 65-XX PDF BibTeX XML Cite \textit{M. Abbaszadeh} et al., J. Comput. Phys. 426, Article ID 109875, 27 p. (2021; Zbl 07510038) Full Text: DOI OpenURL
Azaïez, Mejdi; Chacón Rebollo, Tomás; Rubino, Samuele A cure for instabilities due to advection-dominance in POD solution to advection-diffusion-reaction equations. (English) Zbl 07508508 J. Comput. Phys. 425, Article ID 109916, 27 p. (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{M. Azaïez} et al., J. Comput. Phys. 425, Article ID 109916, 27 p. (2021; Zbl 07508508) Full Text: DOI OpenURL
Choi, Youngsoo; Brown, Peter; Arrighi, William; Anderson, Robert; Huynh, Kevin Space-time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems. (English) Zbl 07508450 J. Comput. Phys. 424, Article ID 109845, 23 p. (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{Y. Choi} et al., J. Comput. Phys. 424, Article ID 109845, 23 p. (2021; Zbl 07508450) Full Text: DOI OpenURL
Riffaud, Sébastien; Bergmann, Michel; Farhat, Charbel; Grimberg, Sebastian; Iollo, Angelo The DGDD method for reduced-order modeling of conservation laws. (English) Zbl 07505919 J. Comput. Phys. 437, Article ID 110336, 19 p. (2021). MSC: 65Mxx 76Mxx 65Nxx PDF BibTeX XML Cite \textit{S. Riffaud} et al., J. Comput. Phys. 437, Article ID 110336, 19 p. (2021; Zbl 07505919) Full Text: DOI OpenURL
Zucatti, Victor; Wolf, William; Bergmann, Michel Calibration of projection-based reduced-order models for unsteady compressible flows. (English) Zbl 07501602 J. Comput. Phys. 433, Article ID 110196, 28 p. (2021). MSC: 76Mxx 76Fxx 65Mxx PDF BibTeX XML Cite \textit{V. Zucatti} et al., J. Comput. Phys. 433, Article ID 110196, 28 p. (2021; Zbl 07501602) Full Text: DOI OpenURL
Rungpitaxmana, Suchinthra; Chaturantabut, Saifon Model reduction for Fisher’s equation with an error bound. (English) Zbl 1482.65108 Thai J. Math. 19, No. 4, 1729-1762 (2021). MSC: 65L05 65L70 93B11 PDF BibTeX XML Cite \textit{S. Rungpitaxmana} and \textit{S. Chaturantabut}, Thai J. Math. 19, No. 4, 1729--1762 (2021; Zbl 1482.65108) Full Text: Link OpenURL
Voloskov, Dmitry; Pissarenko, Dimitri Adaptive POD-Galerkin technique for reservoir simulation and optimization. (English) Zbl 1477.86004 Math. Geosci. 53, No. 8, 1951-1975 (2021). MSC: 86-08 65M60 86A04 PDF BibTeX XML Cite \textit{D. Voloskov} and \textit{D. Pissarenko}, Math. Geosci. 53, No. 8, 1951--1975 (2021; Zbl 1477.86004) Full Text: DOI arXiv OpenURL
Song, Junpeng; Rui, Hongxing Numerical simulation for a incompressible miscible displacement problem using a reduced-order finite element method based on POD technique. (English) Zbl 1477.65163 Comput. Geosci. 25, No. 6, 2093-2108 (2021). MSC: 65M60 76S05 76T06 86A05 PDF BibTeX XML Cite \textit{J. Song} and \textit{H. Rui}, Comput. Geosci. 25, No. 6, 2093--2108 (2021; Zbl 1477.65163) Full Text: DOI OpenURL
Salvador, M.; Dedè, L.; Manzoni, A. Non intrusive reduced order modeling of parametrized PDEs by kernel POD and neural networks. (English) Zbl 07447582 Comput. Math. Appl. 104, 1-13 (2021). MSC: 68-XX 65-XX PDF BibTeX XML Cite \textit{M. Salvador} et al., Comput. Math. Appl. 104, 1--13 (2021; Zbl 07447582) Full Text: DOI arXiv OpenURL
Ghaffari, Rezvan; Ghoreishi, Farideh A low-dimensional compact finite difference method on graded meshes for time-fractional diffusion equations. (English) Zbl 07446785 Comput. Methods Appl. Math. 21, No. 4, 827-840 (2021). MSC: 65-XX 35R11 65M06 65M15 PDF BibTeX XML Cite \textit{R. Ghaffari} and \textit{F. Ghoreishi}, Comput. Methods Appl. Math. 21, No. 4, 827--840 (2021; Zbl 07446785) Full Text: DOI OpenURL
Li, Teng; Deng, Shiyuan; Zhang, Kun; Wei, Haibo; Wang, Runlong; Fan, Jun; Xin, Jianqiang; Yao, Jianyao A nonintrusive parametrized reduced-order model for periodic flows based on extended proper orthogonal decomposition. (English) Zbl 07446702 Int. J. Comput. Methods 18, No. 9, Article ID 2150035, 33 p. (2021). MSC: 76-XX 37-XX PDF BibTeX XML Cite \textit{T. Li} et al., Int. J. Comput. Methods 18, No. 9, Article ID 2150035, 33 p. (2021; Zbl 07446702) Full Text: DOI OpenURL
Liu, Xiaofei; Wang, Hu; Yu, Xiaolong; Wang, Chengjing A Krylov-based proper orthogonal decomposition method for elastodynamics problems with isogeometric analysis. (English) Zbl 07439968 Eng. Anal. Bound. Elem. 133, 71-83 (2021). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{X. Liu} et al., Eng. Anal. Bound. Elem. 133, 71--83 (2021; Zbl 07439968) Full Text: DOI OpenURL
Xiong, Meixin; Chen, Liuhong; Ming, Ju; Shin, Jaemin Accelerating the Bayesian inference of inverse problems by using data-driven compressive sensing method based on proper orthogonal decomposition. (English) Zbl 1484.65033 Electron Res. Arch. 29, No. 5, 3383-3403 (2021). MSC: 65D15 65N21 62F15 60H15 PDF BibTeX XML Cite \textit{M. Xiong} et al., Electron Res. Arch. 29, No. 5, 3383--3403 (2021; Zbl 1484.65033) Full Text: DOI OpenURL
Chaturantabut, Saifon; Freeze, Thomas; Helou, Elias Salomão; Hemming-Schroeder, Nicole; Lee, Charles H. Reduced-order methods in medical imaging. (English) Zbl 1480.93241 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, 237-258 (2021). MSC: 93C55 93B11 PDF BibTeX XML Cite \textit{S. Chaturantabut} et al., ISNM, Int. Ser. Numer. Math. 171, 237--258 (2021; Zbl 1480.93241) Full Text: DOI OpenURL
Zhang, Qi; Ming, Pingjian; Zhang, Wenping Modal decomposition methods for distributed excitation force field on tube bundle in cross flow. (English) Zbl 07436736 Eur. J. Mech., B, Fluids 86, 57-66 (2021). MSC: 76-XX PDF BibTeX XML Cite \textit{Q. Zhang} et al., Eur. J. Mech., B, Fluids 86, 57--66 (2021; Zbl 07436736) Full Text: DOI 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
Feng, Lihong; Fu, Guosheng; Wang, Zhu A FOM/ROM hybrid approach for accelerating numerical simulations. (English) Zbl 07431337 J. Sci. Comput. 89, No. 3, Paper No. 61, 16 p. (2021). MSC: 65Mxx 65Lxx 65Yxx PDF BibTeX XML Cite \textit{L. Feng} et al., J. Sci. Comput. 89, No. 3, Paper No. 61, 16 p. (2021; Zbl 07431337) Full Text: DOI arXiv OpenURL
Liu, Zhe; Ning, Fangli; Zhai, Qingbo; Ding, Hui; Wei, Juan Study on the flow characteristics in the supersonic morphing cavities using direct numerical simulation and proper orthogonal decomposition. (English) Zbl 07428512 Wave Motion 104, Article ID 102751, 17 p. (2021). MSC: 76-XX 86-XX PDF BibTeX XML Cite \textit{Z. Liu} et al., Wave Motion 104, Article ID 102751, 17 p. (2021; Zbl 07428512) Full Text: DOI OpenURL
Zucatti, Victor; Wolf, William Data-driven closure of projection-based reduced order models for unsteady compressible flows. (English) Zbl 07427355 Comput. Methods Appl. Mech. Eng. 386, Article ID 114120, 29 p. (2021). MSC: 76-XX 74-XX PDF BibTeX XML Cite \textit{V. Zucatti} and \textit{W. Wolf}, Comput. Methods Appl. Mech. Eng. 386, Article ID 114120, 29 p. (2021; Zbl 07427355) Full Text: DOI arXiv OpenURL
Shimizu, Yukiko S.; Parish, Eric J. Windowed space-time least-squares Petrov-Galerkin model order reduction for nonlinear dynamical systems. (English) Zbl 07427310 Comput. Methods Appl. Mech. Eng. 386, Article ID 114050, 38 p. (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{Y. S. Shimizu} and \textit{E. J. Parish}, Comput. Methods Appl. Mech. Eng. 386, Article ID 114050, 38 p. (2021; Zbl 07427310) Full Text: DOI OpenURL
Dao, My Ha; Nguyen, Hoang Huy; Ooi, Chin Chun; Le, Quang Tuyen Projection-based and neural-net reduced order model for nonlinear Navier-Stokes equations. (English) Zbl 1481.65171 Appl. Math. Modelling 89, Part 2, 1294-1315 (2021). MSC: 65M08 76D05 PDF BibTeX XML Cite \textit{M. H. Dao} et al., Appl. Math. Modelling 89, Part 2, 1294--1315 (2021; Zbl 1481.65171) Full Text: DOI OpenURL
Zhang, Yang; Vanierschot, Maarten Modeling capabilities of unsteady RANS for the simulation of turbulent swirling flow in an annular bluff-body combustor geometry. (English) Zbl 1481.76124 Appl. Math. Modelling 89, Part 2, 1140-1154 (2021). MSC: 76F65 PDF BibTeX XML Cite \textit{Y. Zhang} and \textit{M. Vanierschot}, Appl. Math. Modelling 89, Part 2, 1140--1154 (2021; Zbl 1481.76124) Full Text: DOI OpenURL
Fiore, M.; Daroukh, M.; Montagnac, M. Loss assessment of a counter rotating open rotor using URANS/LES with phase-lagged assumption (draft). (English) Zbl 07426303 Comput. Fluids 228, Article ID 105025, 14 p. (2021). MSC: 76-XX PDF BibTeX XML Cite \textit{M. Fiore} et al., Comput. Fluids 228, Article ID 105025, 14 p. (2021; Zbl 07426303) 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
Gadalla, Mahmoud; Cianferra, Marta; Tezzele, Marco; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi On the comparison of LES data-driven reduced order approaches for hydroacoustic analysis. (English) Zbl 07426138 Comput. Fluids 216, Article ID 104819, 22 p. (2021). MSC: 76-XX 94-XX PDF BibTeX XML Cite \textit{M. Gadalla} et al., Comput. Fluids 216, Article ID 104819, 22 p. (2021; Zbl 07426138) Full Text: DOI arXiv OpenURL
Onori, Michel; Hills, Nicholas J. Reduced order modelling for a rotor-stator cavity using proper orthogonal decomposition. (English) Zbl 07426137 Comput. Fluids 216, Article ID 104818, 18 p. (2021). MSC: 76-XX 86-XX PDF BibTeX XML Cite \textit{M. Onori} and \textit{N. J. Hills}, Comput. Fluids 216, Article ID 104818, 18 p. (2021; Zbl 07426137) Full Text: DOI OpenURL
Balla, Kensley; Sevilla, Ruben; Hassan, Oubay; Morgan, Kenneth An application of neural networks to the prediction of aerodynamic coefficients of aerofoils and wings. (English) Zbl 1481.74148 Appl. Math. Modelling 96, 456-479 (2021). MSC: 74F10 68T07 76G25 PDF BibTeX XML Cite \textit{K. Balla} et al., Appl. Math. Modelling 96, 456--479 (2021; Zbl 1481.74148) Full Text: DOI OpenURL
Mohammadi, Arash; Shimoyama, Koji; Karimi, Mohamad Sadeq; Raisee, Mehrdad Efficient uncertainty quantification of CFD problems by combination of proper orthogonal decomposition and compressed sensing. (English) Zbl 1481.76166 Appl. Math. Modelling 94, 187-225 (2021). MSC: 76M35 65C20 94A12 PDF BibTeX XML Cite \textit{A. Mohammadi} et al., Appl. Math. Modelling 94, 187--225 (2021; Zbl 1481.76166) Full Text: DOI OpenURL
Karasözen, Bülent; Mülayim, Gülden; Uzunca, Murat; Yıldız, Süleyman Reduced order modelling of nonlinear cross-diffusion systems. (English) Zbl 07423539 Appl. Math. Comput. 401, Article ID 126058, 16 p. (2021). MSC: 37N25 35K57 35K61 65M06 65L05 34C20 PDF BibTeX XML Cite \textit{B. Karasözen} et al., Appl. Math. Comput. 401, Article ID 126058, 16 p. (2021; Zbl 07423539) Full Text: DOI arXiv OpenURL
Gao, Zhen; Liu, Qi; Hesthaven, Jan S.; Wang, Bao-Shan; Don, Wai Sun; Wen, Xiao Non-intrusive reduced order modeling of convection dominated flows using artificial neural networks with application to Rayleigh-Taylor instability. (English) Zbl 07423046 Commun. Comput. Phys. 30, No. 1, 97-123 (2021). MSC: 65-XX 35L65 35Q35 76N15 PDF BibTeX XML Cite \textit{Z. Gao} et al., Commun. Comput. Phys. 30, No. 1, 97--123 (2021; Zbl 07423046) Full Text: DOI OpenURL
Star, S. Kelbij; Stabile, Giovanni; Belloni, Francesco; Rozza, Gianluigi; Degroote, Joris A novel iterative penalty method to enforce boundary conditions in finite volume POD-Galerkin reduced order models for fluid dynamics problems. (English) Zbl 1473.65144 Commun. Comput. Phys. 30, No. 1, 34-66 (2021). MSC: 65M08 35Q35 65M22 76D05 76M12 PDF BibTeX XML Cite \textit{S. K. Star} et al., Commun. Comput. Phys. 30, No. 1, 34--66 (2021; Zbl 1473.65144) Full Text: DOI arXiv OpenURL
Li, Richen; Wu, Qingbiao; Zhu, Shengfeng Isogeometric analysis with proper orthogonal decomposition for elastodynamics. (English) Zbl 07423035 Commun. Comput. Phys. 30, No. 2, 396-422 (2021). MSC: 65-XX 35K20 65M12 65M15 65M60 PDF BibTeX XML Cite \textit{R. Li} et al., Commun. Comput. Phys. 30, No. 2, 396--422 (2021; Zbl 07423035) Full Text: DOI OpenURL
Abdedou, Azzedine; Soulaïmani, Azzeddine A non-intrusive reduced-order modeling for uncertainty propagation of time-dependent problems using a B-splines Bézier elements-based method and proper orthogonal decomposition: application to dam-break flows. (English) Zbl 07419188 Comput. Math. Appl. 102, 187-205 (2021). MSC: 65-XX 76-XX PDF BibTeX XML Cite \textit{A. Abdedou} and \textit{A. Soulaïmani}, Comput. Math. Appl. 102, 187--205 (2021; Zbl 07419188) Full Text: DOI arXiv OpenURL
Karami, Shahram; Soria, Julio Influence of nozzle external geometry on wavepackets in under-expanded supersonic impinging jets. (English) Zbl 1480.76071 J. Fluid Mech. 929, Paper No. A20, 29 p. (2021). MSC: 76J20 76E05 76F65 76M22 PDF BibTeX XML Cite \textit{S. Karami} and \textit{J. Soria}, J. Fluid Mech. 929, Paper No. A20, 29 p. (2021; Zbl 1480.76071) Full Text: DOI 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
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
Guo, Theron; Rokoš, Ondřej; Veroy, Karen Learning constitutive models from microstructural simulations via a non-intrusive reduced basis method. (English) Zbl 07415235 Comput. Methods Appl. Mech. Eng. 384, Article ID 113924, 23 p. (2021). MSC: 74-XX 76-XX PDF BibTeX XML Cite \textit{T. Guo} et al., Comput. Methods Appl. Mech. Eng. 384, Article ID 113924, 23 p. (2021; Zbl 07415235) Full Text: DOI arXiv OpenURL
Resseguier, Valentin; Picard, Agustin M.; Memin, Etienne; Chapron, Bertrand Quantifying truncation-related uncertainties in unsteady fluid dynamics reduced order models. (English) Zbl 1481.60132 SIAM/ASA J. Uncertain. Quantif. 9, 1152-1183 (2021). MSC: 60H35 65M60 65M75 76M35 PDF BibTeX XML Cite \textit{V. Resseguier} et al., SIAM/ASA J. Uncertain. Quantif. 9, 1152--1183 (2021; Zbl 1481.60132) Full Text: DOI OpenURL
Guastoni, Luca; Güemes, Alejandro; Ianiro, Andrea; Discetti, Stefano; Schlatter, Philipp; Azizpour, Hossein; Vinuesa, Ricardo Convolutional-network models to predict wall-bounded turbulence from wall quantities. (English) Zbl 07412820 J. Fluid Mech. 928, Paper No. A27, 37 p. (2021). Reviewer: Kai Schneider (Marseille) MSC: 76F10 76F65 PDF BibTeX XML Cite \textit{L. Guastoni} et al., J. Fluid Mech. 928, Paper No. A27, 37 p. (2021; Zbl 07412820) Full Text: DOI arXiv OpenURL
Benosman, Mouhacine; Borggaard, Jeff Robust nonlinear state estimation for a class of infinite-dimensional systems using reduced-order models. (English) Zbl 1472.93054 Int. J. Control 94, No. 5, 1309-1320 (2021). MSC: 93B53 93C35 93B35 93C15 93C10 PDF BibTeX XML Cite \textit{M. Benosman} and \textit{J. Borggaard}, Int. J. Control 94, No. 5, 1309--1320 (2021; Zbl 1472.93054) Full Text: DOI OpenURL
Podvin, Bérengère; Pellerin, Stéphanie; Fraigneau, Yann; Bonnavion, Guillaume; Cadot, Olivier Low-order modelling of the wake dynamics of an Ahmed body. (English) Zbl 07409300 J. Fluid Mech. 927, Paper No. R6, 12 p. (2021). MSC: 76F10 76F65 PDF BibTeX XML Cite \textit{B. Podvin} et al., J. Fluid Mech. 927, Paper No. R6, 12 p. (2021; Zbl 07409300) Full Text: DOI OpenURL
Teng, Fei; Luo, Zhendong A highly efficient reduced-order extrapolating model for the 2D viscoelastic wave equation. (English) Zbl 07409119 Adv. Appl. Math. Mech. 13, No. 2, 355-377 (2021). MSC: 65M38 65M30 76M10 65M99 65M12 65M15 65B05 76A10 76M15 PDF BibTeX XML Cite \textit{F. Teng} and \textit{Z. Luo}, Adv. Appl. Math. Mech. 13, No. 2, 355--377 (2021; Zbl 07409119) Full Text: DOI OpenURL
Abreu, Leandra I.; Tanarro, Alvaro; Cavalieri, André V. G.; Schlatter, Philipp; Vinuesa, Ricardo; Hanifi, Ardeshir; Henningson, Dan S. Spanwise-coherent hydrodynamic waves around flat plates and airfoils. (English) Zbl 07406908 J. Fluid Mech. 927, Paper No. A1, 32 p. (2021). MSC: 76Q05 76F40 76F65 PDF BibTeX XML Cite \textit{L. I. Abreu} et al., J. Fluid Mech. 927, Paper No. A1, 32 p. (2021; Zbl 07406908) Full Text: DOI OpenURL
Liang, Yu; Gao, Xiao-Wei; Xu, Bing-Bing; Cui, Miao; Zheng, Bao-Jing A reduced-order modelling for real-time identification of damages in multi-layered composite materials. (English) Zbl 1470.65160 Inverse Probl. Sci. Eng. 29, No. 1, 73-94 (2021). MSC: 65M32 35Q74 47N40 74E30 PDF BibTeX XML Cite \textit{Y. Liang} et al., Inverse Probl. Sci. Eng. 29, No. 1, 73--94 (2021; Zbl 1470.65160) Full Text: DOI OpenURL
Shah, Nirav Vasant; Hess, Martin Wilfried; Rozza, Gianluigi Discontinuous Galerkin model order reduction of geometrically parametrized Stokes equation. (English) Zbl 1475.76061 Vermolen, Fred J. (ed.) et al., Numerical mathematics and advanced applications. ENUMATH 2019. Proceedings of the European conference, Egmond aan Zee, The Netherlands, September 30 – October 4, 2019. Cham: Springer. Lect. Notes Comput. Sci. Eng. 139, 551-561 (2021). MSC: 76M10 65N30 76D07 PDF BibTeX XML Cite \textit{N. V. Shah} et al., Lect. Notes Comput. Sci. Eng. 139, 551--561 (2021; Zbl 1475.76061) Full Text: DOI arXiv OpenURL
Dubey, Kaushlendra; Sanghi, Sanjeev; Gupta, Amit; Bahga, Supreet Singh Electrokinetic instability due to streamwise conductivity gradients in microchip electrophoresis. (English) Zbl 1473.76030 J. Fluid Mech. 925, Paper No. A14, 26 p. (2021). MSC: 76E25 76M99 76-05 PDF BibTeX XML Cite \textit{K. Dubey} et al., J. Fluid Mech. 925, Paper No. A14, 26 p. (2021; Zbl 1473.76030) Full Text: DOI OpenURL
Star, Sabrina; Stabile, Giovanni; Rozza, Gianluigi; Degroote, Joris A POD-Galerkin reduced order model of a turbulent convective buoyant flow of Sodium over a backward-facing step. (English) Zbl 1479.76049 Appl. Math. Modelling 89, Part 1, 486-503 (2021). MSC: 76F35 76M12 80A19 PDF BibTeX XML Cite \textit{S. Star} et al., Appl. Math. Modelling 89, Part 1, 486--503 (2021; Zbl 1479.76049) Full Text: DOI arXiv OpenURL
V. K, Vineeth; Patel, Devendra Kumar; Roy, Subhransu; Goli, Srikanth; Roy, Arnab Investigations into transient wakes behind a custom airfoil undergoing pitching motion. (English) Zbl 1479.76030 Eur. J. Mech., B, Fluids 85, 193-213 (2021). MSC: 76D25 76D17 76M99 PDF BibTeX XML Cite \textit{V. V. K} et al., Eur. J. Mech., B, Fluids 85, 193--213 (2021; Zbl 1479.76030) Full Text: DOI OpenURL
Bi, Dianfang; Wei, Yingjie; Theunissen, Raf; Xu, Hao Study on the flow structure behind a freely falling annular disk using proper orthogonal decomposition. (English) Zbl 1478.76030 Eur. J. Mech., B, Fluids 85, 90-101 (2021). MSC: 76D99 76D17 76-05 PDF BibTeX XML Cite \textit{D. Bi} et al., Eur. J. Mech., B, Fluids 85, 90--101 (2021; Zbl 1478.76030) Full Text: DOI OpenURL
Grüne, Lars; Mechelli, Luca; Pirkelmann, Simon; Volkwein, Stefan Performance estimates for economic model predictive control and their application in proper orthogonal decomposition-based implementations. (English) Zbl 1471.93084 Math. Control Relat. Fields 11, No. 3, 579-599 (2021). MSC: 93B45 93C20 93-08 PDF BibTeX XML Cite \textit{L. Grüne} et al., Math. Control Relat. Fields 11, No. 3, 579--599 (2021; Zbl 1471.93084) Full Text: DOI OpenURL
Mao, Ting; Yu, Lanting; Zhang, Yueyi; Zhou, Li Modified Mahalanobis-Taguchi system based on proper orthogonal decomposition for high-dimensional-small-sample-size data classification. (English) Zbl 1472.62099 Math. Biosci. Eng. 18, No. 1, 426-444 (2021). MSC: 62H30 62H12 15A42 PDF BibTeX XML Cite \textit{T. Mao} et al., Math. Biosci. Eng. 18, No. 1, 426--444 (2021; Zbl 1472.62099) Full Text: DOI OpenURL
Song, Junpeng; Rui, Hongxing A reduced-order finite element method based on POD for the incompressible miscible displacement problem. (English) Zbl 07384084 Comput. Math. Appl. 98, 99-117 (2021). MSC: 65-XX 74-XX PDF BibTeX XML Cite \textit{J. Song} and \textit{H. Rui}, Comput. Math. Appl. 98, 99--117 (2021; Zbl 07384084) Full Text: DOI OpenURL
Koc, Birgul; Rubino, Samuele; Schneier, Michael; Singler, John; Iliescu, Traian On optimal pointwise in time error bounds and difference quotients for the proper orthogonal decomposition. (English) Zbl 07383916 SIAM J. Numer. Anal. 59, No. 4, 2163-2196 (2021). MSC: 65M15 65M60 PDF BibTeX XML Cite \textit{B. Koc} et al., SIAM J. Numer. Anal. 59, No. 4, 2163--2196 (2021; Zbl 07383916) Full Text: DOI arXiv OpenURL
Rapún, M.-L.; Terragni, F.; Vega, J. M. Adaptive sampling and modal expansions in pattern-forming systems. (English) Zbl 07379108 Adv. Comput. Math. 47, No. 4, Paper No. 48, 31 p. (2021). Reviewer: Philipp Öffner (Mainz) MSC: 65M70 65M60 65M06 65M99 65M50 65F05 35Q56 PDF BibTeX XML Cite \textit{M. L. Rapún} et al., Adv. Comput. Math. 47, No. 4, Paper No. 48, 31 p. (2021; Zbl 07379108) Full Text: DOI OpenURL
Karasözen, Bülent; Yıldız, Süleyman; Uzunca, Murat Structure preserving model order reduction of shallow water equations. (English) Zbl 1484.65181 Math. Methods Appl. Sci. 44, No. 1, 476-492 (2021). Reviewer: Petr Sváček (Praha) MSC: 65M06 65M99 65C05 65P10 76B15 15A69 PDF BibTeX XML Cite \textit{B. Karasözen} et al., Math. Methods Appl. Sci. 44, No. 1, 476--492 (2021; Zbl 1484.65181) Full Text: DOI arXiv OpenURL
Dal Santo, Niccolò; Manzoni, Andrea; Pagani, Stefano; Quarteroni, Alfio Reduced-order modeling for applications to the cardiovascular system. (English) Zbl 1477.65157 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 251-277 (2021). MSC: 65M60 65M99 65N12 76M10 76D05 76Z05 92C35 35Q35 35Q92 PDF BibTeX XML Cite \textit{N. Dal Santo} et al., in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 251--277 (2021; Zbl 1477.65157) Full Text: DOI OpenURL
Karasözen, Bülent Model order reduction in neuroscience. (English) Zbl 1467.93053 Benner, Peter (ed.) et al., Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 237-259 (2021). MSC: 93B11 93A15 92B20 PDF BibTeX XML Cite \textit{B. Karasözen}, in: Model order reduction. Volume 3: Applications. Berlin: De Gruyter. 237--259 (2021; Zbl 1467.93053) Full Text: DOI OpenURL
Li, Kun; Huang, Ting-Zhu; Li, Liang; Lanteri, Stéphane Non-intrusive reduced-order modeling of parameterized electromagnetic scattering problems using cubic spline interpolation. (English) Zbl 1472.65122 J. Sci. Comput. 87, No. 2, Paper No. 52, 29 p. (2021). MSC: 65M60 65M06 65N30 65D07 65M99 65F20 78A45 78M34 78M10 78M20 35Q60 PDF BibTeX XML Cite \textit{K. Li} et al., J. Sci. Comput. 87, No. 2, Paper No. 52, 29 p. (2021; Zbl 1472.65122) Full Text: DOI OpenURL
Fresca, Stefania; Dede’, Luca; Manzoni, Andrea A comprehensive deep learning-based approach to reduced order modeling of nonlinear time-dependent parametrized PDEs. (English) Zbl 1470.65166 J. Sci. Comput. 87, No. 2, Paper No. 61, 36 p. (2021). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 68T05 68T07 PDF BibTeX XML Cite \textit{S. Fresca} et al., J. Sci. Comput. 87, No. 2, Paper No. 61, 36 p. (2021; Zbl 1470.65166) Full Text: DOI arXiv OpenURL
Bai, Feng; Wang, Yi Reduced-order modeling based on hybrid snapshot simulation. (English) Zbl 07342028 Int. J. Comput. Methods 18, No. 1, Article ID 2050029, 33 p. (2021). MSC: 65-XX 68-XX PDF BibTeX XML Cite \textit{F. Bai} and \textit{Y. Wang}, Int. J. Comput. Methods 18, No. 1, Article ID 2050029, 33 p. (2021; Zbl 07342028) Full Text: DOI OpenURL
Ma, Zhan; Pan, Wenxiao Data-driven nonintrusive reduced order modeling for dynamical systems with moving boundaries using Gaussian process regression. (English) Zbl 07337778 Comput. Methods Appl. Mech. Eng. 373, Article ID 113495, 25 p. (2021). MSC: 65-XX 62-XX PDF BibTeX XML Cite \textit{Z. Ma} and \textit{W. Pan}, Comput. Methods Appl. Mech. Eng. 373, Article ID 113495, 25 p. (2021; Zbl 07337778) Full Text: DOI arXiv OpenURL
Alsayyari, Fahad; Perkó, Zoltán; Tiberga, Marco; Kloosterman, Jan Leen; Lathouwers, Danny A fully adaptive nonintrusive reduced-order modelling approach for parametrized time-dependent problems. (English) Zbl 07337766 Comput. Methods Appl. Mech. Eng. 373, Article ID 113483, 21 p. (2021). MSC: 65-XX 82-XX PDF BibTeX XML Cite \textit{F. Alsayyari} et al., Comput. Methods Appl. Mech. Eng. 373, Article ID 113483, 21 p. (2021; Zbl 07337766) Full Text: DOI OpenURL
Li, Huanrong; Song, Zhengyuan A reduced-order finite element method based on proper orthogonal decomposition for the Allen-Cahn model. (English) Zbl 1468.65145 J. Math. Anal. Appl. 500, No. 2, Article ID 125103, 16 p. (2021). MSC: 65M60 65M99 65M12 65M15 35Q99 PDF BibTeX XML Cite \textit{H. Li} and \textit{Z. Song}, J. Math. Anal. Appl. 500, No. 2, Article ID 125103, 16 p. (2021; Zbl 1468.65145) Full Text: DOI OpenURL
Kawano, Yu; Scherpen, Jacquelien M. A. Empirical differential Gramians for nonlinear model reduction. (English) Zbl 1461.93061 Automatica 127, Article ID 109534, 9 p. (2021). MSC: 93B11 93B03 93B07 93C10 PDF BibTeX XML Cite \textit{Y. Kawano} and \textit{J. M. A. Scherpen}, Automatica 127, Article ID 109534, 9 p. (2021; Zbl 1461.93061) Full Text: DOI arXiv OpenURL