Novo, Julia; Rubino, Samuele Error analysis of proper orthogonal decomposition stabilized methods for incompressible flows. (English) Zbl 07314374 SIAM J. Numer. Anal. 59, No. 1, 334-369 (2021). MSC: 35Q30 65M12 65M15 65M20 65M60 65M70 76B75 PDF BibTeX XML Cite \textit{J. Novo} and \textit{S. Rubino}, SIAM J. Numer. Anal. 59, No. 1, 334--369 (2021; Zbl 07314374) Full Text: DOI
Zhou, Yanjie; Zhang, Yanan; Liang, Ye; Luo, Zhendong A reduced-order extrapolated model based on splitting implicit finite difference scheme and proper orthogonal decomposition for the fourth-order nonlinear rosenau equation. (English) Zbl 07311186 Appl. Numer. Math. 162, 192-200 (2021). MSC: 35Q 65M PDF BibTeX XML Cite \textit{Y. Zhou} et al., Appl. Numer. Math. 162, 192--200 (2021; Zbl 07311186) Full Text: DOI
Jiang, Hanbo; Zhong, Siyang; Zhang, Xin; Huang, Xun Efficient storage and interpolation of acoustic transfer functions. (English) Zbl 07305313 Eng. Anal. Bound. Elem. 124, 259-265 (2021). MSC: 76 65 PDF BibTeX XML Cite \textit{H. Jiang} et al., Eng. Anal. Bound. Elem. 124, 259--265 (2021; Zbl 07305313) Full Text: DOI
Bannenberg, M. W. F. M.; Ciccazzo, A.; Günther, M. Coupling of model order reduction and multirate techniques for coupled dynamical systems. (English) Zbl 07281314 Appl. Math. Lett. 112, Article ID 106780, 8 p. (2021). MSC: 65 94 PDF BibTeX XML Cite \textit{M. W. F. M. Bannenberg} et al., Appl. Math. Lett. 112, Article ID 106780, 8 p. (2021; Zbl 07281314) Full Text: DOI
Teng, Fei; Luo, Zhendong A reduced-order extrapolated approach to solution coefficient vectors in the Crank-Nicolson finite element method for the uniform transmission line equation. (English) Zbl 1452.65250 J. Math. Anal. Appl. 493, No. 1, Article ID 124511, 13 p. (2021). MSC: 65M60 65M06 65M99 65M12 65M15 35Q60 PDF BibTeX XML Cite \textit{F. Teng} and \textit{Z. Luo}, J. Math. Anal. Appl. 493, No. 1, Article ID 124511, 13 p. (2021; Zbl 1452.65250) Full Text: DOI
Li, Sijing; Zhang, Zhiwen; Zhao, Hongkai A data-driven approach for multiscale elliptic PDEs with random coefficients based on intrinsic dimension reduction. (English) Zbl 07308308 Multiscale Model. Simul. 18, No. 3, 1242-1271 (2020). MSC: 35J08 35J15 35R60 65N30 65N80 78M34 PDF BibTeX XML Cite \textit{S. Li} et al., Multiscale Model. Simul. 18, No. 3, 1242--1271 (2020; Zbl 07308308) Full Text: DOI
Peherstorfer, Benjamin Sampling low-dimensional Markovian dynamics for preasymptotically recovering reduced models from data with operator inference. (English) Zbl 07301555 SIAM J. Sci. Comput. 42, No. 5, A3489-A3515 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M99 68T05 68T10 65P99 PDF BibTeX XML Cite \textit{B. Peherstorfer}, SIAM J. Sci. Comput. 42, No. 5, A3489--A3515 (2020; Zbl 07301555) Full Text: DOI
Mahato, Bikash; Ganta, Naveen; Bhumkar, Yogesh G. Numerical investigation of sound generation due to laminar flow past elliptic cylinders. (English) Zbl 07296115 Numer. Math., Theory Methods Appl. 13, No. 1, 27-62 (2020). MSC: 76Q05 76M20 76G25 PDF BibTeX XML Cite \textit{B. Mahato} et al., Numer. Math., Theory Methods Appl. 13, No. 1, 27--62 (2020; Zbl 07296115) Full Text: DOI
Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi Non-intrusive polynomial chaos method applied to full-order and reduced problems in computational fluid dynamics: a comparison and perspectives. (English) Zbl 07287510 D’Elia, Marta (ed.) et al., Quantification of uncertainty: improving efficiency and technology. QUIET. Selected contributions based on the presentations at the international workshop, Trieste, Italy, July 18–21, 2017. Cham: Springer (ISBN 978-3-030-48720-1/hbk; 978-3-030-48721-8/ebook). Lecture Notes in Computational Science and Engineering 137, 217-240 (2020). MSC: 62L20 62P35 65M75 76D06 35Q30 PDF BibTeX XML Cite \textit{S. Hijazi} et al., Lect. Notes Comput. Sci. Eng. 137, 217--240 (2020; Zbl 07287510) Full Text: DOI
Garotta, Fabrizio; Demo, Nicola; Tezzele, Marco; Carraturo, Massimo; Reali, Alessandro; Rozza, Gianluigi Reduced order isogeometric analysis approach for PDEs in parametrized domains. (English) Zbl 07287507 D’Elia, Marta (ed.) et al., Quantification of uncertainty: improving efficiency and technology. QUIET. Selected contributions based on the presentations at the international workshop, Trieste, Italy, July 18–21, 2017. Cham: Springer (ISBN 978-3-030-48720-1/hbk; 978-3-030-48721-8/ebook). Lecture Notes in Computational Science and Engineering 137, 153-170 (2020). MSC: 62P35 62-08 65M75 35K05 PDF BibTeX XML Cite \textit{F. Garotta} et al., Lect. Notes Comput. Sci. Eng. 137, 153--170 (2020; Zbl 07287507) Full Text: DOI
Locke, Sarah; Singler, John New proper orthogonal decomposition approximation theory for PDE solution data. (English) Zbl 07275256 SIAM J. Numer. Anal. 58, No. 6, 3251-3285 (2020). MSC: 65J05 46-08 PDF BibTeX XML Cite \textit{S. Locke} and \textit{J. Singler}, SIAM J. Numer. Anal. 58, No. 6, 3251--3285 (2020; Zbl 07275256) Full Text: DOI
Drmač, Zlatko; Mezić, Igor; Mohr, Ryan On least squares problems with certain Vandermonde-Khatri-Rao structure with applications to DMD. (English) Zbl 1452.65086 SIAM J. Sci. Comput. 42, No. 5, A3250-A3284 (2020). MSC: 65F99 15A23 65F20 65F35 65P99 PDF BibTeX XML Cite \textit{Z. Drmač} et al., SIAM J. Sci. Comput. 42, No. 5, A3250--A3284 (2020; Zbl 1452.65086) Full Text: DOI
Peherstorfer, Benjamin; Drmač, Zlatko; Gugercin, Serkan Stability of discrete empirical interpolation and gappy proper orthogonal decomposition with randomized and deterministic sampling points. (English) Zbl 07271875 SIAM J. Sci. Comput. 42, No. 5, A2837-A2864 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65F25 65M99 65D05 PDF BibTeX XML Cite \textit{B. Peherstorfer} et al., SIAM J. Sci. Comput. 42, No. 5, A2837--A2864 (2020; Zbl 07271875) Full Text: DOI
Peherstorfer, Benjamin Model reduction for transport-dominated problems via online adaptive bases and adaptive sampling. (English) Zbl 07271874 SIAM J. Sci. Comput. 42, No. 5, A2803-A2836 (2020). Reviewer: Abdallah Bradji (Annaba) MSC: 65M22 65M99 65F50 49M15 PDF BibTeX XML Cite \textit{B. Peherstorfer}, SIAM J. Sci. Comput. 42, No. 5, A2803--A2836 (2020; Zbl 07271874) Full Text: DOI
Jäkle, Christian; Volkwein, Stefan POD-based mixed-integer optimal control of evolution systems. (English) Zbl 07271600 Junge, Oliver (ed.) et al., Advances in dynamics, optimization and computation. A volume dedicated to Michael Dellnitz on the occasion of his 60th birthday. Cham: Springer (ISBN 978-3-030-51263-7/hbk; 978-3-030-51264-4/ebook). Studies in Systems, Decision and Control 304, 238-264 (2020). MSC: 49J45 90C11 PDF BibTeX XML Cite \textit{C. Jäkle} and \textit{S. Volkwein}, Stud. Syst. Decis. Control 304, 238--264 (2020; Zbl 07271600) Full Text: DOI
Luo, Zhendong; Jin, Shiju A reduced-order extrapolated Crank-Nicolson collocation spectral method based on proper orthogonal decomposition for the two-dimensional viscoelastic wave equations. (English) Zbl 07258854 Numer. Methods Partial Differ. Equations 36, No. 1, 49-65 (2020). Reviewer: Murli Gupta (Washington, D. C.) MSC: 65M70 65M06 65M12 65M99 74S25 74D10 76M22 76A10 PDF BibTeX XML Cite \textit{Z. Luo} and \textit{S. Jin}, Numer. Methods Partial Differ. Equations 36, No. 1, 49--65 (2020; Zbl 07258854) Full Text: DOI
Karasözen, Bülent; Uzunca, Murat; Küçükseyhan, Tuğba Reduced order optimal control of the convective FitzHugh-Nagumo equations. (English) Zbl 1448.49038 Comput. Math. Appl. 79, No. 4, 982-995 (2020). MSC: 49M41 49J20 49M05 49M25 65K10 65M60 PDF BibTeX XML Cite \textit{B. Karasözen} et al., Comput. Math. Appl. 79, No. 4, 982--995 (2020; Zbl 1448.49038) Full Text: DOI
Abbaszadeh, Mostafa; Dehghan, Mehdi A POD-based reduced-order Crank-Nicolson/fourth-order alternating direction implicit (ADI) finite difference scheme for solving the two-dimensional distributed-order Riesz space-fractional diffusion equation. (English) Zbl 1452.65145 Appl. Numer. Math. 158, 271-291 (2020). MSC: 65M06 65N06 65M99 65M15 65M12 65D30 35R11 26A33 35K57 PDF BibTeX XML Cite \textit{M. Abbaszadeh} and \textit{M. Dehghan}, Appl. Numer. Math. 158, 271--291 (2020; Zbl 1452.65145) Full Text: DOI
Luo, Zhendong; Jiang, Wenrui A reduced-order extrapolated technique about the unknown coefficient vectors of solutions in the finite element method for hyperbolic type equation. (English) Zbl 1450.65126 Appl. Numer. Math. 158, 123-133 (2020). Reviewer: Marius Ghergu (Dublin) MSC: 65M60 65M12 65M15 65M99 PDF BibTeX XML Cite \textit{Z. Luo} and \textit{W. Jiang}, Appl. Numer. Math. 158, 123--133 (2020; Zbl 1450.65126) Full Text: DOI
Ghaffari, Rezvan; Ghoreishi, Farideh Error analysis of the reduced RBF model based on POD method for time-fractional partial differential equations. (English) Zbl 1452.65273 Acta Appl. Math. 168, No. 1, 33-55 (2020). MSC: 65M70 65M15 65M22 65M99 65D12 35R11 26A33 PDF BibTeX XML Cite \textit{R. Ghaffari} and \textit{F. Ghoreishi}, Acta Appl. Math. 168, No. 1, 33--55 (2020; Zbl 1452.65273) Full Text: DOI
Dai, Xiaoying; Kuang, Xiong; Xin, Jack; Zhou, Aihui Two-grid based adaptive proper orthogonal decomposition method for time dependent partial differential equations. (English) Zbl 1448.65128 J. Sci. Comput. 84, No. 3, Paper No. 47, 27 p. (2020). MSC: 65M12 65M22 PDF BibTeX XML Cite \textit{X. Dai} et al., J. Sci. Comput. 84, No. 3, Paper No. 47, 27 p. (2020; Zbl 1448.65128) Full Text: DOI
Kean, Kiera; Schneier, Michael Error analysis of supremizer pressure recovery for POD based reduced-order models of the time-dependent Navier-Stokes equations. (English) Zbl 1447.65080 SIAM J. Numer. Anal. 58, No. 4, 2235-2264 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65M60 65M12 65M15 76D05 35Q30 65M99 PDF BibTeX XML Cite \textit{K. Kean} and \textit{M. Schneier}, SIAM J. Numer. Anal. 58, No. 4, 2235--2264 (2020; Zbl 1447.65080) Full Text: DOI
Luo, Zhendong; Ren, Hulin A reduced-order extrapolated finite difference iterative method for the Riemann-Liouville tempered fractional derivative equation. (English) Zbl 1446.65073 Appl. Numer. Math. 157, 307-314 (2020). MSC: 65M06 65M99 35R11 26A33 65M12 65M15 PDF BibTeX XML Cite \textit{Z. Luo} and \textit{H. Ren}, Appl. Numer. Math. 157, 307--314 (2020; Zbl 1446.65073) Full Text: DOI
Rubino, Samuele Numerical analysis of a projection-based stabilized POD-ROM for incompressible flows. (English) Zbl 1450.65129 SIAM J. Numer. Anal. 58, No. 4, 2019-2058 (2020). Reviewer: Dana Černá (Liberec) MSC: 65M60 65M06 65M12 65M15 76D05 76M10 PDF BibTeX XML Cite \textit{S. Rubino}, SIAM J. Numer. Anal. 58, No. 4, 2019--2058 (2020; Zbl 1450.65129) Full Text: DOI
Hijazi, Saddam; Stabile, Giovanni; Mola, Andrea; Rozza, Gianluigi Data-driven POD-Galerkin reduced order model for turbulent flows. (English) Zbl 1437.76015 J. Comput. Phys. 416, Article ID 109513, 29 p. (2020). MSC: 76F55 76M12 76D05 PDF BibTeX XML Cite \textit{S. Hijazi} et al., J. Comput. Phys. 416, Article ID 109513, 29 p. (2020; Zbl 1437.76015) Full Text: DOI
Luo, Zhendong An optimized FD extrapolated scheme based on POD for the 2D integro-differential equation of parabolic type. (English) Zbl 07223721 J. Integral Equations Appl. 32, No. 1, 35-50 (2020). Reviewer: Bülent Karasözen (Ankara) MSC: 65N06 65M06 65M99 65B05 65M15 65M12 35R09 45K05 PDF BibTeX XML Cite \textit{Z. Luo}, J. Integral Equations Appl. 32, No. 1, 35--50 (2020; Zbl 07223721) Full Text: DOI Euclid
Strazzullo, Maria; Ballarin, Francesco; Rozza, Gianluigi POD-Galerkin model order reduction for parametrized time dependent linear quadratic optimal control problems in saddle point formulation. (English) Zbl 1444.49013 J. Sci. Comput. 83, No. 3, Paper No. 55, 35 p. (2020). Reviewer: Claudia Simionescu-Badea (Wien) MSC: 49N10 49M25 35J20 65N06 90C20 PDF BibTeX XML Cite \textit{M. Strazzullo} et al., J. Sci. Comput. 83, No. 3, Paper No. 55, 35 p. (2020; Zbl 1444.49013) Full Text: DOI
Phalippou, P.; Bouabdallah, S.; Breitkopf, P.; Villon, P.; Zarroug, M. ‘On-the-fly’ snapshots selection for proper orthogonal decomposition with application to nonlinear dynamics. (English) Zbl 1442.65058 Comput. Methods Appl. Mech. Eng. 367, Article ID 113120, 16 p. (2020). MSC: 65F15 PDF BibTeX XML Cite \textit{P. Phalippou} et al., Comput. Methods Appl. Mech. Eng. 367, Article ID 113120, 16 p. (2020; Zbl 1442.65058) Full Text: DOI
Florez, Horacio; Gildin, Eduardo Global/local model order reduction in coupled flow and linear thermal-poroelasticity. (English) Zbl 1434.86013 Comput. Geosci. 24, No. 2, 709-735 (2020). MSC: 86-10 65N30 76S05 PDF BibTeX XML Cite \textit{H. Florez} and \textit{E. Gildin}, Comput. Geosci. 24, No. 2, 709--735 (2020; Zbl 1434.86013) Full Text: DOI
Luo, Zhendong; Wang, Hui A highly efficient reduced-order extrapolated finite difference algorithm for time-space tempered fractional diffusion-wave equation. (English) Zbl 1440.65093 Appl. Math. Lett. 102, Article ID 106090, 8 p. (2020). MSC: 65M06 65N06 65M99 26A33 35R11 PDF BibTeX XML Cite \textit{Z. Luo} and \textit{H. Wang}, Appl. Math. Lett. 102, Article ID 106090, 8 p. (2020; Zbl 1440.65093) Full Text: DOI
Huang, Dengpeng; Fuhg, Jan Niklas; Weißenfels, Christian; Wriggers, Peter A machine learning based plasticity model using proper orthogonal decomposition. (English) Zbl 1442.74042 Comput. Methods Appl. Mech. Eng. 365, Article ID 113008, 25 p. (2020). MSC: 74C05 74S05 74B20 PDF BibTeX XML Cite \textit{D. Huang} et al., Comput. Methods Appl. Mech. Eng. 365, Article ID 113008, 25 p. (2020; Zbl 1442.74042) Full Text: DOI
Gunzburger, Max; Iliescu, Traian; Schneier, Michael A Leray regularized ensemble-proper orthogonal decomposition method for parameterized convection-dominated flows. (English) Zbl 07199496 IMA J. Numer. Anal. 40, No. 2, 886-913 (2020). MSC: 65 PDF BibTeX XML Cite \textit{M. Gunzburger} et al., IMA J. Numer. Anal. 40, No. 2, 886--913 (2020; Zbl 07199496) Full Text: DOI
Stabile, Giovanni; Rosic, Bojana Bayesian identification of a projection-based reduced order model for computational fluid dynamics. (English) Zbl 07196721 Comput. Fluids 201, Article ID 104477, 10 p. (2020). MSC: 76 PDF BibTeX XML Cite \textit{G. Stabile} and \textit{B. Rosic}, Comput. Fluids 201, Article ID 104477, 10 p. (2020; Zbl 07196721) Full Text: DOI
Suzuki, Takao; Chatellier, Ludovic; David, Laurent A few techniques to improve data-driven reduced-order simulations for unsteady flows. (English) Zbl 07196711 Comput. Fluids 201, Article ID 104455, 17 p. (2020). MSC: 76 PDF BibTeX XML Cite \textit{T. Suzuki} et al., Comput. Fluids 201, Article ID 104455, 17 p. (2020; Zbl 07196711) Full Text: DOI
Wu, Pin; Sun, Junwu; Chang, Xuting; Zhang, Wenjie; Arcucci, Rossella; Guo, Yike; Pain, Christopher C. Data-driven reduced order model with temporal convolutional neural network. (English) Zbl 1441.76101 Comput. Methods Appl. Mech. Eng. 360, Article ID 112766, 13 p. (2020). MSC: 76M99 65F50 PDF BibTeX XML Cite \textit{P. Wu} et al., Comput. Methods Appl. Mech. Eng. 360, Article ID 112766, 13 p. (2020; Zbl 1441.76101) Full Text: DOI
Ding, Chensen; Deokar, Rohit R.; Lian, Haojie; Ding, Yanjun; Li, Guangyao; Cui, Xiangyang; Tamma, Kumar K.; Bordas, Stéphane P. A. Resolving high frequency issues via proper orthogonal decomposition based dynamic isogeometric analysis for structures with dissimilar materials. (English) Zbl 1441.74301 Comput. Methods Appl. Mech. Eng. 359, Article ID 112753, 25 p. (2020). MSC: 74S99 65N55 74E30 PDF BibTeX XML Cite \textit{C. Ding} et al., Comput. Methods Appl. Mech. Eng. 359, Article ID 112753, 25 p. (2020; Zbl 1441.74301) Full Text: DOI
Sun, Xiang; Choi, Yun Young; Choi, Jung-Il Global sensitivity analysis for multivariate outputs using polynomial chaos-based surrogate models. (English) Zbl 07193557 Appl. Math. Modelling 82, 867-887 (2020). MSC: 65 74 PDF BibTeX XML Cite \textit{X. Sun} et al., Appl. Math. Modelling 82, 867--887 (2020; Zbl 07193557) Full Text: DOI
Alla, Alessandro; Saluzzi, Luca An HJB-POD approach for the control of nonlinear PDEs on a tree structure. (A HJB-POD approach for the control of nonlinear PDEs on a tree structure.) (English) Zbl 1437.49039 Appl. Numer. Math. 155, 192-207 (2020). MSC: 49L20 93B52 49N35 49M25 90C39 35F21 PDF BibTeX XML Cite \textit{A. Alla} and \textit{L. Saluzzi}, Appl. Numer. Math. 155, 192--207 (2020; Zbl 1437.49039) Full Text: DOI
Reyes, Ricardo; Codina, Ramon Projection-based reduced order models for flow problems: a variational multiscale approach. (English) Zbl 1436.76034 Comput. Methods Appl. Mech. Eng. 363, Article ID 112844, 29 p. (2020). MSC: 76M10 65M60 49M25 PDF BibTeX XML Cite \textit{R. Reyes} and \textit{R. Codina}, Comput. Methods Appl. Mech. Eng. 363, Article ID 112844, 29 p. (2020; Zbl 1436.76034) Full Text: DOI
Ma, Dingjiong; Ching, Wai-ki; Zhang, Zhiwen Proper orthogonal decomposition method for multiscale elliptic PDEs with random coefficients. (English) Zbl 1439.35588 J. Comput. Appl. Math. 370, Article ID 112635, 19 p. (2020). Reviewer: Igor Bock (Bratislava) MSC: 35R60 65N30 65N12 78M34 PDF BibTeX XML Cite \textit{D. Ma} et al., J. Comput. Appl. Math. 370, Article ID 112635, 19 p. (2020; Zbl 1439.35588) Full Text: DOI
Imtiaz, Haroon; Akhtar, Imran Nonlinear closure modeling in reduced order models for turbulent flows: a dynamical system approach. (English) Zbl 1430.76237 Nonlinear Dyn. 99, No. 1, 479-494 (2020). MSC: 76F20 76F65 PDF BibTeX XML Cite \textit{H. Imtiaz} and \textit{I. Akhtar}, Nonlinear Dyn. 99, No. 1, 479--494 (2020; Zbl 1430.76237) Full Text: DOI
DeCaria, Victor; Iliescu, Traian; Layton, William; McLaughlin, Michael; Schneier, Michael An artificial compression reduced order model. (English) Zbl 1434.76064 SIAM J. Numer. Anal. 58, No. 1, 565-589 (2020). MSC: 76M10 65M12 65M15 65M60 76D05 PDF BibTeX XML Cite \textit{V. DeCaria} et al., SIAM J. Numer. Anal. 58, No. 1, 565--589 (2020; Zbl 1434.76064) Full Text: DOI
Yu, Dan; Chakravorty, Suman A randomized balanced proper orthogonal decomposition technique. (English) Zbl 07161542 J. Comput. Appl. Math. 368, Article ID 112540, 16 p. (2020). MSC: 65 68 PDF BibTeX XML Cite \textit{D. Yu} and \textit{S. Chakravorty}, J. Comput. Appl. Math. 368, Article ID 112540, 16 p. (2020; Zbl 07161542) Full Text: DOI
Fareed, Hiba; Singler, John R. Error analysis of an incremental proper orthogonal decomposition algorithm for PDE simulation data. (English) Zbl 07161528 J. Comput. Appl. Math. 368, Article ID 112525, 14 p. (2020). MSC: 65F 15A18 PDF BibTeX XML Cite \textit{H. Fareed} and \textit{J. R. Singler}, J. Comput. Appl. Math. 368, Article ID 112525, 14 p. (2020; Zbl 07161528) Full Text: DOI
Emamy, Nehzat; Litty, Pascal; Klotz, Thomas; Mehl, Miriam; Röhrle, Oliver POD-DEIM model order reduction for the monodomain reaction-diffusion sub-model of the neuro-muscular system. (English) Zbl 1428.93027 Fehr, Jörg (ed.) et al., IUTAM symposium on model order reduction of coupled systems. MORCOS 2018. Proceedings of the IUTAM symposium, Stuttgart, Germany, May 22–25, 2018. Cham: Springer. IUTAM Bookser. 36, 177-190 (2020). MSC: 93B11 93C15 93C20 92C30 92C42 PDF BibTeX XML Cite \textit{N. Emamy} et al., IUTAM Bookser. 36, 177--190 (2020; Zbl 1428.93027) Full Text: DOI Link
Jehle, Jonas Siegfried; Mechelli, Luca; Volkwein, Stefan POD-based augmented Lagrangian method for state constrained heat-convection phenomena. (English) Zbl 1427.80005 Fehr, Jörg (ed.) et al., IUTAM symposium on model order reduction of coupled systems. MORCOS 2018. Proceedings of the IUTAM symposium, Stuttgart, Germany, May 22–25, 2018. Cham: Springer. IUTAM Bookser. 36, 127-139 (2020). MSC: 80A20 49J20 80M20 80M10 65M06 65N30 PDF BibTeX XML Cite \textit{J. S. Jehle} et al., IUTAM Bookser. 36, 127--139 (2020; Zbl 1427.80005) Full Text: DOI
Rapún, Maria-Luisa; Terragni, Filippo; Vega, José M. Fully online ROMs and collocation based on LUPOD. (English) Zbl 1442.65298 Fehr, Jörg (ed.) et al., IUTAM symposium on model order reduction of coupled systems. MORCOS 2018. Proceedings of the IUTAM symposium, Stuttgart, Germany, May 22–25, 2018. Cham: Springer. IUTAM Bookser. 36, 81-93 (2020). MSC: 65M70 65F05 65M06 65L06 PDF BibTeX XML Cite \textit{M.-L. Rapún} et al., IUTAM Bookser. 36, 81--93 (2020; Zbl 1442.65298) Full Text: DOI
Kastian, Steffen; Reese, Stefanie An adaptive way of choosing significant snapshots for proper orthogonal decomposition. (English) Zbl 1425.74471 Fehr, Jörg (ed.) et al., IUTAM symposium on model order reduction of coupled systems. MORCOS 2018. Proceedings of the IUTAM symposium, Stuttgart, Germany, May 22–25, 2018. Cham: Springer. IUTAM Bookser. 36, 67-79 (2020). MSC: 74S05 65M60 65K10 74P10 PDF BibTeX XML Cite \textit{S. Kastian} and \textit{S. Reese}, IUTAM Bookser. 36, 67--79 (2020; Zbl 1425.74471) Full Text: DOI
Alsayyari, Fahad; Perkó, Zoltán; Lathouwers, Danny; Kloosterman, Jan Leen A nonintrusive reduced order modelling approach using proper orthogonal decomposition and locally adaptive sparse grids. (English) Zbl 07302230 J. Comput. Phys. 399, Article ID 108912, 25 p. (2019). MSC: 65D05 82D75 PDF BibTeX XML Cite \textit{F. Alsayyari} et al., J. Comput. Phys. 399, Article ID 108912, 25 p. (2019; Zbl 07302230) Full Text: DOI
Shinde, Vilas; Longatte, Elisabeth; Baj, Franck; Hoarau, Yannick; Braza, Marianna Galerkin-free model reduction for fluid-structure interaction using proper orthogonal decomposition. (English) Zbl 1452.76133 J. Comput. Phys. 396, 579-595 (2019). MSC: 76M12 76M20 65D05 PDF BibTeX XML Cite \textit{V. Shinde} et al., J. Comput. Phys. 396, 579--595 (2019; Zbl 1452.76133) Full Text: DOI
Li, Kun; Huang, Ting-Zhu; Li, Liang; Lanteri, Stéphane POD-based model order reduction with an adaptive snapshot selection for a discontinuous Galerkin approximation of the time-domain Maxwell’s equations. (English) Zbl 1452.78035 J. Comput. Phys. 396, 106-128 (2019). MSC: 78M34 78M10 65M60 78A40 PDF BibTeX XML Cite \textit{K. Li} et al., J. Comput. Phys. 396, 106--128 (2019; Zbl 1452.78035) Full Text: DOI
Li, Richen; Wu, Qingbiao; Zhu, Shengfeng Proper orthogonal decomposition with SUPG-stabilized isogeometric analysis for reduced order modelling of unsteady convection-dominated convection-diffusion-reaction problems. (English) Zbl 1452.76094 J. Comput. Phys. 387, 280-302 (2019). MSC: 76M10 65M60 76M30 65D07 76R50 76R10 PDF BibTeX XML Cite \textit{R. Li} et al., J. Comput. Phys. 387, 280--302 (2019; Zbl 1452.76094) Full Text: DOI
Wang, Qian; Hesthaven, Jan S.; Ray, Deep Non-intrusive reduced order modeling of unsteady flows using artificial neural networks with application to a combustion problem. (English) Zbl 07283534 J. Comput. Phys. 384, 289-307 (2019). MSC: 76F80 76V05 76N06 68T07 PDF BibTeX XML Cite \textit{Q. Wang} et al., J. Comput. Phys. 384, 289--307 (2019; Zbl 07283534) Full Text: DOI
Nakazawa, Takashi; Nakajima, Chihiro Optimal design by adaptive mesh refinement on shape optimization of flow fields considering proper orthogonal decomposition. (English) Zbl 1452.65245 Interdiscip. Inf. Sci. 25, No. 2, 147-160 (2019). MSC: 65M60 65N30 65N50 65M06 68M99 65K10 65H10 65F15 65F50 49Q10 49Q12 76D05 35Q30 PDF BibTeX XML Cite \textit{T. Nakazawa} and \textit{C. Nakajima}, Interdiscip. Inf. Sci. 25, No. 2, 147--160 (2019; Zbl 1452.65245) Full Text: DOI
San, Omer; Maulik, Romit; Ahmed, Mansoor An artificial neural network framework for reduced order modeling of transient flows. (English) Zbl 07264470 Commun. Nonlinear Sci. Numer. Simul. 77, 271-287 (2019). MSC: 65K 68T 90C PDF BibTeX XML Cite \textit{O. San} et al., Commun. Nonlinear Sci. Numer. Simul. 77, 271--287 (2019; Zbl 07264470) Full Text: DOI
Ferro, Nicola; Micheletti, Stefano; Perotto, Simona POD-assisted strategies for structural topology optimization. (English) Zbl 1442.65366 Comput. Math. Appl. 77, No. 10, 2804-2820 (2019). MSC: 65N30 74P15 PDF BibTeX XML Cite \textit{N. Ferro} et al., Comput. Math. Appl. 77, No. 10, 2804--2820 (2019; Zbl 1442.65366) Full Text: DOI
Sukuntee, Norapon; Chaturantabut, Saifon Model order reduction for sine-Gordon equation using POD and DEIM. (English) Zbl 07248527 Thai J. Math., Spec. Iss.: Annual Meeting in Mathematics 2018, 222-256 (2019). MSC: 65F30 34A45 PDF BibTeX XML Cite \textit{N. Sukuntee} and \textit{S. Chaturantabut}, Thai J. Math. , 222--256 (2019; Zbl 07248527) Full Text: Link
Zhou, Xiaolan; Azaiez, Mejdi; Xu, Chuanju Reduced-order modelling for the Allen-Cahn equation based on scalar auxiliary variable approaches. (English) Zbl 1449.65284 J. Math. Study 52, No. 3, 258-276 (2019). MSC: 65M70 65M12 65N35 65M99 65D05 35Q56 65M06 PDF BibTeX XML Cite \textit{X. Zhou} et al., J. Math. Study 52, No. 3, 258--276 (2019; Zbl 1449.65284) Full Text: DOI
Zerfas, Camille; Rebholz, Leo G.; Schneier, Michael; Iliescu, Traian Continuous data assimilation reduced order models of fluid flow. (English) Zbl 1442.65006 Comput. Methods Appl. Mech. Eng. 357, Article ID 112596, 18 p. (2019). MSC: 65C99 76D05 PDF BibTeX XML Cite \textit{C. Zerfas} et al., Comput. Methods Appl. Mech. Eng. 357, Article ID 112596, 18 p. (2019; Zbl 1442.65006) Full Text: DOI
Mohammadi, Arash; Raisee, Mehrdad Stochastic field representation using bi-fidelity combination of proper orthogonal decomposition and kriging. (English) Zbl 1442.65114 Comput. Methods Appl. Mech. Eng. 357, Article ID 112589, 31 p. (2019). MSC: 65K99 PDF BibTeX XML Cite \textit{A. Mohammadi} and \textit{M. Raisee}, Comput. Methods Appl. Mech. Eng. 357, Article ID 112589, 31 p. (2019; Zbl 1442.65114) Full Text: DOI
Ding, Chensen; Deokar, Rohit R.; Ding, Yanjun; Li, Guangyao; Cui, Xiangyang; Tamma, Kumar K.; Bordas, Stéphane P. A. Model order reduction accelerated Monte Carlo stochastic isogeometric method for the analysis of structures with high-dimensional and independent material uncertainties. (English) Zbl 1441.74295 Comput. Methods Appl. Mech. Eng. 349, 266-284 (2019). MSC: 74S60 65C05 65M75 PDF BibTeX XML Cite \textit{C. Ding} et al., Comput. Methods Appl. Mech. Eng. 349, 266--284 (2019; Zbl 1441.74295) Full Text: DOI
Hess, Martin; Alla, Alessandro; Quaini, Annalisa; Rozza, Gianluigi; Gunzburger, Max A localized reduced-order modeling approach for PDEs with bifurcating solutions. (English) Zbl 1441.65082 Comput. Methods Appl. Mech. Eng. 351, 379-403 (2019). MSC: 65M99 35B32 35Q30 65M60 65M70 65P30 76D05 PDF BibTeX XML Cite \textit{M. Hess} et al., Comput. Methods Appl. Mech. Eng. 351, 379--403 (2019; Zbl 1441.65082) Full Text: DOI
Xiao, D.; Fang, F.; Heaney, C. E.; Navon, I. M.; Pain, C. C. A domain decomposition method for the non-intrusive reduced order modelling of fluid flow. (English) Zbl 1441.76074 Comput. Methods Appl. Mech. Eng. 354, 307-330 (2019). MSC: 76M10 65M60 65M55 76D05 PDF BibTeX XML Cite \textit{D. Xiao} et al., Comput. Methods Appl. Mech. Eng. 354, 307--330 (2019; Zbl 1441.76074) Full Text: DOI
Altaf, M. Umer; McCabe, M. F. A variational approach for parameter estimation based on balanced proper orthogonal decomposition. (English) Zbl 1441.65003 Comput. Methods Appl. Mech. Eng. 344, 694-710 (2019). MSC: 65C20 PDF BibTeX XML Cite \textit{M. U. Altaf} and \textit{M. F. McCabe}, Comput. Methods Appl. Mech. Eng. 344, 694--710 (2019; Zbl 1441.65003) Full Text: DOI
Cai, Weihua; Ma, Hanghang; Wang, Yue; Chen, Jianping; Zheng, Xin; Zhang, Hongna Development of POD reduced-order model and its closure scheme for 2D Rayleigh-Bénard convection. (English) Zbl 07183398 Appl. Math. Modelling 66, 562-575 (2019). MSC: 76 80 PDF BibTeX XML Cite \textit{W. Cai} et al., Appl. Math. Modelling 66, 562--575 (2019; Zbl 07183398) Full Text: DOI
Balabanov, Oleg; Nouy, Anthony Randomized linear algebra for model reduction. I. Galerkin methods and error estimation. (English) Zbl 07179119 Adv. Comput. Math. 45, No. 5-6, 2969-3019 (2019). MSC: 65 PDF BibTeX XML Cite \textit{O. Balabanov} and \textit{A. Nouy}, Adv. Comput. Math. 45, No. 5--6, 2969--3019 (2019; Zbl 07179119) Full Text: DOI
Gräßle, Carmen; Hinze, Michael; Lang, Jens; Ullmann, Sebastian POD model order reduction with space-adapted snapshots for incompressible flows. (English) Zbl 1435.65157 Adv. Comput. Math. 45, No. 5-6, 2401-2428 (2019). MSC: 65M60 65M06 65M12 35B35 15A18 35Q30 65K05 76D05 PDF BibTeX XML Cite \textit{C. Gräßle} et al., Adv. Comput. Math. 45, No. 5--6, 2401--2428 (2019; Zbl 1435.65157) Full Text: DOI
Im, Sunyoung; Kim, Euiyoung; Cho, Maenghyo Reduction process based on proper orthogonal decomposition for dual formulation of dynamic substructures. (English) Zbl 07147400 Comput. Mech. 64, No. 5, 1237-1257 (2019). MSC: 74 PDF BibTeX XML Cite \textit{S. Im} et al., Comput. Mech. 64, No. 5, 1237--1257 (2019; Zbl 07147400) Full Text: DOI
Akman Yıldız, Tuğba; Uzunca, Murat; Karasözen, Bülent Structure preserving reduced order modeling for gradient systems. (English) Zbl 1429.65223 Appl. Math. Comput. 347, 194-209 (2019). MSC: 65M60 65P10 PDF BibTeX XML Cite \textit{T. Akman Yıldız} et al., Appl. Math. Comput. 347, 194--209 (2019; Zbl 1429.65223) Full Text: DOI
Eroglu, Fatma G.; Kaya, Songul; Rebholz, Leo G. POD-ROM for the Darcy-Brinkman equations with double-diffusive convection. (English) Zbl 07134870 J. Numer. Math. 27, No. 3, 123-139 (2019). MSC: 65 PDF BibTeX XML Cite \textit{F. G. Eroglu} et al., J. Numer. Math. 27, No. 3, 123--139 (2019; Zbl 07134870) Full Text: DOI
Venturi, Luca; Ballarin, Francesco; Rozza, Gianluigi A weighted POD method for elliptic PDEs with random inputs. (English) Zbl 07129353 J. Sci. Comput. 81, No. 1, 136-153 (2019). MSC: 65 00B 65D 65K 65K10 00B15 65D05 65-06 PDF BibTeX XML Cite \textit{L. Venturi} et al., J. Sci. Comput. 81, No. 1, 136--153 (2019; Zbl 07129353) Full Text: DOI arXiv
Bachmann, Freya; Beermann, Dennis; Lu, Jianjie; Volkwein, Stefan POD-based mixed-integer optimal control of the heat equation. (English) Zbl 1430.49023 J. Sci. Comput. 81, No. 1, 48-75 (2019). MSC: 49K20 90C11 49J30 PDF BibTeX XML Cite \textit{F. Bachmann} et al., J. Sci. Comput. 81, No. 1, 48--75 (2019; Zbl 1430.49023) Full Text: DOI
Drmač, Zlatko; Mezić, Igor; Mohr, Ryan Data driven Koopman spectral analysis in Vandermonde-Cauchy form via the DFT: numerical method and theoretical insights. (English) Zbl 1435.65066 SIAM J. Sci. Comput. 41, No. 5, A3118-A3151 (2019). MSC: 65F35 15A12 15A23 65L05 65D15 PDF BibTeX XML Cite \textit{Z. Drmač} et al., SIAM J. Sci. Comput. 41, No. 5, A3118--A3151 (2019; Zbl 1435.65066) Full Text: DOI arXiv
Teng, Fei; Luo, Zhengdong; Yang, Jing A reduced-order extrapolated natural boundary element method based on POD for the 2D hyperbolic equation in unbounded domain. (English) Zbl 1428.65048 Math. Methods Appl. Sci. 42, No. 12, 4273-4291 (2019). MSC: 65M60 65N30 65N15 35A01 65M12 35L20 PDF BibTeX XML Cite \textit{F. Teng} et al., Math. Methods Appl. Sci. 42, No. 12, 4273--4291 (2019; Zbl 1428.65048) Full Text: DOI
Ghaffari, Rezvan; Ghoreishi, Farideh Reduced collocation method for time-dependent parametrized partial differential equations. (English) Zbl 1442.65291 Bull. Iran. Math. Soc. 45, No. 5, 1487-1504 (2019). MSC: 65M70 35A17 76R99 65M15 35Q35 PDF BibTeX XML Cite \textit{R. Ghaffari} and \textit{F. Ghoreishi}, Bull. Iran. Math. Soc. 45, No. 5, 1487--1504 (2019; Zbl 1442.65291) Full Text: DOI
Dasgupta, Agnimitra; Ghosh, Debraj Failure probability estimation of linear time varying systems by progressive refinement of reduced order models. (English) Zbl 07118420 SIAM/ASA J. Uncertain. Quantif. 7, 1007-1028 (2019). MSC: 60H35 34F05 93E03 PDF BibTeX XML Cite \textit{A. Dasgupta} and \textit{D. Ghosh}, SIAM/ASA J. Uncertain. Quantif. 7, 1007--1028 (2019; Zbl 07118420) Full Text: DOI
Teng, Fei; Luo, Zhen Dong; Yang, Jing A reduced-order extrapolated natural boundary element method based on POD for the parabolic equation in the 2D unbounded domain. (English) Zbl 1438.65309 Comput. Appl. Math. 38, No. 3, Paper No. 102, 21 p. (2019). MSC: 65N38 65N30 65N15 65N12 65M22 PDF BibTeX XML Cite \textit{F. Teng} et al., Comput. Appl. Math. 38, No. 3, Paper No. 102, 21 p. (2019; Zbl 1438.65309) Full Text: DOI
Carlberg, Kevin; Brencher, Lukas; Haasdonk, Bernard; Barth, Andrea Data-driven time parallelism via forecasting. (English) Zbl 07099294 SIAM J. Sci. Comput. 41, No. 3, B466-B496 (2019). MSC: 65B99 65D30 65L05 65L06 65L20 65M12 65M55 65Y05 PDF BibTeX XML Cite \textit{K. Carlberg} et al., SIAM J. Sci. Comput. 41, No. 3, B466--B496 (2019; Zbl 07099294) Full Text: DOI
Mosquera, Rolando; Hamdouni, Aziz; El Hamidi, Abdallah; Allery, Cyrille POD basis interpolation via inverse distance weighting on Grassmann manifolds. (English) Zbl 07097935 Discrete Contin. Dyn. Syst., Ser. S 12, No. 6, 1743-1759 (2019). MSC: 65K05 65D18 65F15 PDF BibTeX XML Cite \textit{R. Mosquera} et al., Discrete Contin. Dyn. Syst., Ser. S 12, No. 6, 1743--1759 (2019; Zbl 07097935) Full Text: DOI
Shen, Jiguang; Singler, John R.; Zhang, Yangwen HDG-POD reduced order model of the heat equation. (English) Zbl 1418.65116 J. Comput. Appl. Math. 362, 663-679 (2019). MSC: 65M15 65M60 PDF BibTeX XML Cite \textit{J. Shen} et al., J. Comput. Appl. Math. 362, 663--679 (2019; Zbl 1418.65116) Full Text: DOI
Pascarella, G.; Fossati, M.; Barrenechea, G. Adaptive reduced basis method for the reconstruction of unsteady vortex-dominated flows. (English) Zbl 07083219 Comput. Fluids 190, 382-397 (2019). MSC: 76 PDF BibTeX XML Cite \textit{G. Pascarella} et al., Comput. Fluids 190, 382--397 (2019; Zbl 07083219) Full Text: DOI
Fareed, Hiba; Singler, John R. A note on incremental POD algorithms for continuous time data. (English) Zbl 1416.65349 Appl. Numer. Math. 144, 223-233 (2019). MSC: 65M60 65F30 65M15 PDF BibTeX XML Cite \textit{H. Fareed} and \textit{J. R. Singler}, Appl. Numer. Math. 144, 223--233 (2019; Zbl 1416.65349) Full Text: DOI
Alla, Alessandro; Kutz, J. Nathan Randomized model order reduction. (English) Zbl 1418.65193 Adv. Comput. Math. 45, No. 3, 1251-1271 (2019). MSC: 65P99 37M05 65F30 15B52 PDF BibTeX XML Cite \textit{A. Alla} and \textit{J. N. Kutz}, Adv. Comput. Math. 45, No. 3, 1251--1271 (2019; Zbl 1418.65193) Full Text: DOI arXiv
Alla, Alessandro; Hinze, Michael; Kolvenbach, Philip; Lass, Oliver; Ulbrich, Stefan A certified model reduction approach for robust parameter optimization with PDE constraints. (English) Zbl 07074893 Adv. Comput. Math. 45, No. 3, 1221-1250 (2019). MSC: 35Q93 49J20 49K20 49J35 93C20 PDF BibTeX XML Cite \textit{A. Alla} et al., Adv. Comput. Math. 45, No. 3, 1221--1250 (2019; Zbl 07074893) Full Text: DOI
Ri, Jun-Hyok; Hong, Hyon-Sik A basis reduction method using proper orthogonal decomposition for shakedown analysis of kinematic hardening material. (English) Zbl 07073963 Comput. Mech. 64, No. 1, 1-13 (2019). MSC: 74 PDF BibTeX XML Cite \textit{J.-H. Ri} and \textit{H.-S. Hong}, Comput. Mech. 64, No. 1, 1--13 (2019; Zbl 07073963) Full Text: DOI
Yang, Jing; Z. D. Luo, Zhendong Proper orthogonal decomposition reduced-order extrapolation continuous space-time finite element method for the two-dimensional unsteady Stokes equation. (English) Zbl 1433.65230 J. Math. Anal. Appl. 475, No. 1, 123-138 (2019). Reviewer: Baasansuren Jadamba (Rochester) MSC: 65M60 65M12 76D07 76M10 65M06 65M99 65M15 PDF BibTeX XML Cite \textit{J. Yang} and \textit{Z. Z. D. Luo}, J. Math. Anal. Appl. 475, No. 1, 123--138 (2019; Zbl 1433.65230) Full Text: DOI
Swischuk, Renee; Mainini, Laura; Peherstorfer, Benjamin; Willcox, Karen Projection-based model reduction: formulations for physics-based machine learning. (English) Zbl 1411.65061 Comput. Fluids 179, 704-717 (2019). MSC: 65F15 68T05 PDF BibTeX XML Cite \textit{R. Swischuk} et al., Comput. Fluids 179, 704--717 (2019; Zbl 1411.65061) Full Text: DOI
Zhao, Yijia; Zhao, Ming; Li, Xiaojian; Liu, Zhengxian; Du, Juan A modified proper orthogonal decomposition method for flow dynamic analysis. (English) Zbl 1411.76124 Comput. Fluids 182, 28-36 (2019). MSC: 76M25 76-04 PDF BibTeX XML Cite \textit{Y. Zhao} et al., Comput. Fluids 182, 28--36 (2019; Zbl 1411.76124) Full Text: DOI
Ding, Chensen; Deokar, Rohit R.; Cui, Xiangyang; Li, Guangyao; Cai, Yong; Tamma, Kumar K. Proper orthogonal decomposition and Monte Carlo based isogeometric stochastic method for material, geometric and force multi-dimensional uncertainties. (English) Zbl 07037454 Comput. Mech. 63, No. 3, 521-533 (2019). MSC: 74 PDF BibTeX XML Cite \textit{C. Ding} et al., Comput. Mech. 63, No. 3, 521--533 (2019; Zbl 07037454) Full Text: DOI
Ghaffari, Rezvan; Ghoreishi, Farideh Reduced spline method based on a proper orthogonal decomposition technique for fractional sub-diffusion equations. (English) Zbl 1407.65103 Appl. Numer. Math. 137, 62-79 (2019). MSC: 65M06 35R11 65M12 65M15 PDF BibTeX XML Cite \textit{R. Ghaffari} and \textit{F. Ghoreishi}, Appl. Numer. Math. 137, 62--79 (2019; Zbl 1407.65103) Full Text: DOI
Luo, Zhendong; Teng, Fei; Xia, Hong A reduced-order extrapolated Crank-Nicolson finite spectral element method based on POD for the 2D non-stationary Boussinesq equations. (English) Zbl 1407.65218 J. Math. Anal. Appl. 471, No. 1-2, 564-583 (2019). MSC: 65M70 65M06 65M12 35A01 35Q35 76D05 PDF BibTeX XML Cite \textit{Z. Luo} et al., J. Math. Anal. Appl. 471, No. 1--2, 564--583 (2019; Zbl 1407.65218) Full Text: DOI
Sukuntee, Norapon; Chaturantabut, Saifon An application of proper orthogonal decomposition for estimating missing data of patients in different cause groups. (English) Zbl 07247567 Thai J. Math., Spec. Iss.: Annual Meeting in Mathematics 2017, 21-33 (2018). MSC: 65F15 65F30 PDF BibTeX XML Cite \textit{N. Sukuntee} and \textit{S. Chaturantabut}, Thai J. Math. , 21--33 (2018; Zbl 07247567) Full Text: Link
Guo, Mengwu; Hesthaven, Jan S. Reduced order modeling for nonlinear structural analysis using Gaussian process regression. (English) Zbl 1440.65206 Comput. Methods Appl. Mech. Eng. 341, 807-826 (2018). MSC: 65N30 65N99 PDF BibTeX XML Cite \textit{M. Guo} and \textit{J. S. Hesthaven}, Comput. Methods Appl. Mech. Eng. 341, 807--826 (2018; Zbl 1440.65206) Full Text: DOI
Pagani, Stefano; Manzoni, Andrea; Quarteroni, Alfio Numerical approximation of parametrized problems in cardiac electrophysiology by a local reduced basis method. (English) Zbl 1440.92003 Comput. Methods Appl. Mech. Eng. 340, 530-558 (2018). MSC: 92-08 65M60 92C30 PDF BibTeX XML Cite \textit{S. Pagani} et al., Comput. Methods Appl. Mech. Eng. 340, 530--558 (2018; Zbl 1440.92003) Full Text: DOI
Rama, Ritesh R.; Skatulla, Sebastian Towards real-time cardiac mechanics modelling with patient-specific heart anatomies. (English) Zbl 1439.74211 Comput. Methods Appl. Mech. Eng. 328, 47-74 (2018). MSC: 74L15 92C30 PDF BibTeX XML Cite \textit{R. R. Rama} and \textit{S. Skatulla}, Comput. Methods Appl. Mech. Eng. 328, 47--74 (2018; Zbl 1439.74211) Full Text: DOI
San, Omer; Maulik, Romit Machine learning closures for model order reduction of thermal fluids. (English) Zbl 07167981 Appl. Math. Modelling 60, 681-710 (2018). MSC: 68 76 PDF BibTeX XML Cite \textit{O. San} and \textit{R. Maulik}, Appl. Math. Modelling 60, 681--710 (2018; Zbl 07167981) Full Text: DOI
Zhang, Xiaohua; Zhang, Ping A reduced high-order compact finite difference scheme based on proper orthogonal decomposition technique for KdV equation. (English) Zbl 1429.65208 Appl. Math. Comput. 339, 535-545 (2018). MSC: 65M06 35Q53 PDF BibTeX XML Cite \textit{X. Zhang} and \textit{P. Zhang}, Appl. Math. Comput. 339, 535--545 (2018; Zbl 1429.65208) Full Text: DOI
Oulghelou, M.; Allery, C. A fast and robust sub-optimal control approach using reduced order model adaptation techniques. (English) Zbl 1427.49033 Appl. Math. Comput. 333, 416-434 (2018). MSC: 49M20 PDF BibTeX XML Cite \textit{M. Oulghelou} and \textit{C. Allery}, Appl. Math. Comput. 333, 416--434 (2018; Zbl 1427.49033) Full Text: DOI
Luo, Zhendong; Teng, Fei A reduced-order extrapolated finite difference iterative scheme based on POD method for 2D Sobolev equation. (English) Zbl 1427.65174 Appl. Math. Comput. 329, 374-383 (2018). MSC: 65M06 65M12 65M15 PDF BibTeX XML Cite \textit{Z. Luo} and \textit{F. Teng}, Appl. Math. Comput. 329, 374--383 (2018; Zbl 1427.65174) Full Text: DOI
Cao, Yanhua; Luo, Zhendong A reduced-order extrapolating Crank-Nicolson finite difference scheme for the Riesz space fractional order equations with a nonlinear source function and delay. (English) Zbl 1449.65173 J. Nonlinear Sci. Appl. 11, No. 5, 672-682 (2018). MSC: 65M06 65M12 35R11 PDF BibTeX XML Cite \textit{Y. Cao} and \textit{Z. Luo}, J. Nonlinear Sci. Appl. 11, No. 5, 672--682 (2018; Zbl 1449.65173) Full Text: DOI