Model order reduction (English Wikipedia)

Analysis of information sources in references of the Wikipedia article "Model order reduction" in English language version.

refsWebsite

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37doi.org

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14harvard.edu

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10semanticscholar.org

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3sciencedirect.com

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3handle.net

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2elsevier.com

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1oup.com

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1nih.gov

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1mit.edu

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1archives-ouvertes.fr

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1hal.science

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archives-ouvertes.fr (Global: 1,031^st place; English: 879^th place)

hal.archives-ouvertes.fr

Chinesta, Francisco; Ladeveze, Pierre; Cueto, Elías (11 October 2011). "A Short Review on Model Order Reduction Based on Proper Generalized Decomposition" (PDF). Archives of Computational Methods in Engineering. 18 (4): 395–404. doi:10.1007/s11831-011-9064-7. S2CID 54512292.

arxiv.org (Global: 69^th place; English: 59^th place)

Ovchinnikov, Alexey; Pérez Verona, Isabel; Pogudin, Gleb; Tribastone, Mirco (2021-07-19). Valencia, Alfonso (ed.). "CLUE: exact maximal reduction of kinetic models by constrained lumping of differential equations". Bioinformatics. 37 (12): 1732–1738. arXiv:2004.11961. doi:10.1093/bioinformatics/btab010. ISSN 1367-4803. PMID 33532849.
Choi, Youngsoo; Brown, Peter; Arrighi, William; Anderson, Robert; Huynh, Kevin (2021). "Space--time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems". Journal of Computational Physics. 424 109845. arXiv:1910.01260. Bibcode:2021JCoPh.42409845C. doi:10.1016/j.jcp.2020.109845. ISSN 0021-9991. S2CID 203641768.
Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T. (16 October 2010). "Reduced Basis Techniques for Stochastic Problems". Archives of Computational Methods in Engineering. 17 (4): 435–454. arXiv:1004.0357. doi:10.1007/s11831-010-9056-z. hdl:1721.1/63915. S2CID 446613.
Choi, Youngsoo; Boncoraglio, Gabriele; Spenser, Anderson; Amsallem, David; Farhat, Charbel (2020). "Gradient-based constrained optimization using a database of linear reduced-order models". Journal of Computational Physics. 423 109787. arXiv:1506.07849. Bibcode:2020JCoPh.42309787C. doi:10.1016/j.jcp.2020.109787. S2CID 60788542.
Ohlberger, M.; Rave, S. (2013). "Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing". Comptes Rendus Mathematique. 351 (23–24): 901–906. arXiv:1304.4513. Bibcode:2013CRMat.351..901O. doi:10.1016/j.crma.2013.10.028.
Reiss, J.; Schulze, P.; Sesterhenn, J.; Mehrmann, V. (2018). "The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena". SIAM Journal on Scientific Computing. 40 (3): A1322–A1344. arXiv:1512.01985. Bibcode:2018SJSC...40A1322R. doi:10.1137/17M1140571.
Kim, Youngkyu; Choi, Youngsoo; Widemann, David; Zohdi, Tarek (2021). "A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder". Journal of Computational Physics. 451 110841. arXiv:2009.11990. doi:10.1016/j.jcp.2021.110841. S2CID 221949087.
Peherstorfer, B. (2020). "Model Reduction for Transport-Dominated Problems via Online Adaptive Bases and Adaptive Sampling". SIAM Journal on Scientific Computing. 42 (5): A2803–A2836. arXiv:1812.02094. Bibcode:2020SJSC...42A2803P. doi:10.1137/19M1257275.
Tu, Jonathan H.; Rowley, Clarence W.; Luchtenburg, Dirk M.; Brunton, Steven L.; Kutz, J. Nathan (2014). "On dynamic mode decomposition: Theory and applications". Journal of Computational Dynamics. 1 (2): 391–421. arXiv:1312.0041. doi:10.3934/jcd.2014.1.391.
Copeland, Dylan; Cheung, Siu Wun; Huynh, Kevin; Choi, Youngsoo (2021). "Reduced order models for Lagrangian hydrodynamics". Computer Methods in Applied Mechanics and Engineering. 388 114259. arXiv:2104.11404. doi:10.1016/j.cma.2021.114259. ISSN 0045-7825. S2CID 233388014.
McBane, Sean; Choi, Youngsoo (1 August 2021). "Component-wise reduced order model lattice-type structure design". Computer Methods in Applied Mechanics and Engineering. 381 113813. arXiv:2010.10770. Bibcode:2021CMAME.381k3813M. doi:10.1016/j.cma.2021.113813. S2CID 224818337.

doi.org (Global: 2^nd place; English: 2^nd place)

Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi (2014). "Model Order Reduction in Fluid Dynamics: Challenges and Perspectives". Reduced Order Methods for Modeling and Computational Reduction (PDF). pp. 235–273. doi:10.1007/978-3-319-02090-7_9. ISBN 978-3-319-02089-1.
Rozza, G.; Huynh, D. B. P.; Patera, A. T. (2008-05-21). "Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations". Archives of Computational Methods in Engineering. 15 (3): 229–275. doi:10.1007/s11831-008-9019-9. ISSN 1134-3060. S2CID 13511413.
Antoulas, A.C. (July 2004). "Approximation of Large-Scale Dynamical Systems: An Overview". IFAC Proceedings Volumes. 37 (11): 19–28. CiteSeerX 10.1.1.29.3565. doi:10.1016/S1474-6670(17)31584-7.
Ovchinnikov, Alexey; Pérez Verona, Isabel; Pogudin, Gleb; Tribastone, Mirco (2021-07-19). Valencia, Alfonso (ed.). "CLUE: exact maximal reduction of kinetic models by constrained lumping of differential equations". Bioinformatics. 37 (12): 1732–1738. arXiv:2004.11961. doi:10.1093/bioinformatics/btab010. ISSN 1367-4803. PMID 33532849.
Silva, João M. S.; Villena, Jorge Fernández; Flores, Paulo; Silveira, L. Miguel (2007), "Outstanding Issues in Model Order Reduction", Scientific Computing in Electrical Engineering, Springer Berlin Heidelberg, pp. 139–152, doi:10.1007/978-3-540-71980-9_13, ISBN 978-3-540-71979-3{{citation}}: CS1 maint: work parameter with ISBN (link)
Kerschen, Gaetan; Golinval, Jean-claude; VAKAKIS, ALEXANDER F.; BERGMAN, LAWRENCE A. (2005). "The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview". Nonlinear Dynamics. 41 (1–3): 147–169. Bibcode:2005NonDy..41..147K. CiteSeerX 10.1.1.530.8349. doi:10.1007/s11071-005-2803-2. ISSN 0924-090X. S2CID 17625377.
Choi, Youngsoo; Brown, Peter; Arrighi, William; Anderson, Robert; Huynh, Kevin (2021). "Space--time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems". Journal of Computational Physics. 424 109845. arXiv:1910.01260. Bibcode:2021JCoPh.42409845C. doi:10.1016/j.jcp.2020.109845. ISSN 0021-9991. S2CID 203641768.
Fu, Jinlong; Xiao, Dunhui; Fu, Rui; Li, Chenfeng; Zhu, Chuanhua; Arcucci, Rossella; Navon, Ionel M. (2023). "Physics-data combined machine learning for parametric reduced-order modelling of nonlinear dynamical systems in small-data regimes". Computer Methods in Applied Mechanics and Engineering. 404 115771. doi:10.1016/j.cma.2022.115771.
Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T. (16 October 2010). "Reduced Basis Techniques for Stochastic Problems". Archives of Computational Methods in Engineering. 17 (4): 435–454. arXiv:1004.0357. doi:10.1007/s11831-010-9056-z. hdl:1721.1/63915. S2CID 446613.
Moore, B.C. (1981). "Principal component analysis in linear systems: controllability, observability, and model reduction". IEEE Transactions on Automatic Control. 26 (1): 17–32. doi:10.1109/TAC.1981.1102568.
Benner, Peter; Gugercin, Serkan; Willcox, Karen (2015). "A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems" (PDF). SIAM Review. 57 (4): 483–531. doi:10.1137/130932715. hdl:1721.1/100939. ISSN 0036-1445. S2CID 16186635.
Peherstorfer, B. (2022). "Breaking the Kolmogorov Barrier with Nonlinear Model Reduction". Notices of the American Mathematical Society. 69 (5): 725–733. doi:10.1090/noti2475.
Chinesta, Francisco; Ladeveze, Pierre; Cueto, Elías (11 October 2011). "A Short Review on Model Order Reduction Based on Proper Generalized Decomposition" (PDF). Archives of Computational Methods in Engineering. 18 (4): 395–404. doi:10.1007/s11831-011-9064-7. S2CID 54512292.
Choi, Youngsoo; Boncoraglio, Gabriele; Spenser, Anderson; Amsallem, David; Farhat, Charbel (2020). "Gradient-based constrained optimization using a database of linear reduced-order models". Journal of Computational Physics. 423 109787. arXiv:1506.07849. Bibcode:2020JCoPh.42309787C. doi:10.1016/j.jcp.2020.109787. S2CID 60788542.
Bai, Zhaojun (2002). "Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems". Applied Numerical Mathematics. 43 (1–2): 9–44. CiteSeerX 10.1.1.131.8251. doi:10.1016/S0168-9274(02)00116-2.
Rowley, C.W.; Marsden, J.E. (2000). "Reconstruction equations and the Karhunen–Loève expansion for systems with symmetry". Physica D: Nonlinear Phenomena. 142 (1–2): 1–19. Bibcode:2000PhyD..142....1R. doi:10.1016/S0167-2789(00)00042-7.
Ohlberger, M.; Rave, S. (2013). "Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing". Comptes Rendus Mathematique. 351 (23–24): 901–906. arXiv:1304.4513. Bibcode:2013CRMat.351..901O. doi:10.1016/j.crma.2013.10.028.
Reiss, J.; Schulze, P.; Sesterhenn, J.; Mehrmann, V. (2018). "The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena". SIAM Journal on Scientific Computing. 40 (3): A1322–A1344. arXiv:1512.01985. Bibcode:2018SJSC...40A1322R. doi:10.1137/17M1140571.
Kim, Youngkyu; Choi, Youngsoo; Widemann, David; Zohdi, Tarek (2021). "A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder". Journal of Computational Physics. 451 110841. arXiv:2009.11990. doi:10.1016/j.jcp.2021.110841. S2CID 221949087.
Zhu, Chuanhua; Xiao, Dunhui; Fu, Jinlong; Feng, Yuntian; Fu, Rui; Wang, Jinsheng. (2024). "A data-driven computational framework for non-intrusive reduced-order modelling of turbulent flows passing around bridge piers". Ocean Engineering. 308 118308. doi:10.1016/j.oceaneng.2024.118308.
Peherstorfer, B. (2020). "Model Reduction for Transport-Dominated Problems via Online Adaptive Bases and Adaptive Sampling". SIAM Journal on Scientific Computing. 42 (5): A2803–A2836. arXiv:1812.02094. Bibcode:2020SJSC...42A2803P. doi:10.1137/19M1257275.
Hesthaven, J.S.; Pagliantini, C.; Rozza, G. (2022). "Reduced basis methods for time-dependent problems". Acta Numerica. 31: 265–345. doi:10.1017/S0962492922000058. hdl:11568/1169931.
Rowley, C.W.; Mezic, I.; Bagheri, S.; Schlatter, P.; Henningson, D.S. (2009). "Spectral analysis of nonlinear flows". Journal of Fluid Mechanics. 641: 115–127. Bibcode:2009JFM...641..115R. doi:10.1017/S0022112009992059.
Schmidt, P.J. (2010). "Dynamic mode decomposition of numerical and experimental data". Journal of Fluid Mechanics. 656: 5–28. Bibcode:2010JFM...656....5S. doi:10.1017/S0022112010001217.
Tu, Jonathan H.; Rowley, Clarence W.; Luchtenburg, Dirk M.; Brunton, Steven L.; Kutz, J. Nathan (2014). "On dynamic mode decomposition: Theory and applications". Journal of Computational Dynamics. 1 (2): 391–421. arXiv:1312.0041. doi:10.3934/jcd.2014.1.391.
Peherstorfer, B.; Willcox, K. (2016). "Data-driven operator inference for nonintrusive projection-based model reduction". Computer Methods in Applied Mechanics and Engineering. 306: 196–215. Bibcode:2016CMAME.306..196P. doi:10.1016/j.cma.2016.03.025.
Kramer, B.; Peherstorfer, B.; Willcox, K. (2024). "Learning Nonlinear Reduced Models from Data with Operator Inference". Annual Review of Fluid Mechanics. 56: 521–548. doi:10.1146/annurev-fluid-121021-025220.
Mayo, A.J.; Antoulas, A.C. (2007). "A framework for the solution of the generalized realization problem". Linear Algebra and Its Applications. 425 (2–3): 634–662. doi:10.1016/j.laa.2007.03.008.
Hahn, J.; Edgar, T.F. (2002). "An improved method for nonlinear model reduction using balancing of empirical gramians". Computers & Chemical Engineering. 26 (10): 1379–1397. doi:10.1016/S0098-1354(02)00120-5.
Umunnakwe, Chisom Bernhard; Zawra, Ibrahim; Niessner, Martin; Rudnyi, Evgenii; Hohlfeld, Dennis; Bechtold, Tamara (2023). "Compact modelling of a thermo-mechanical finite element model of a microelectronic package". Microelectronics Reliability. 151 (115238) 115238. Bibcode:2023MiRe..15115238U. doi:10.1016/j.microrel.2023.115238.
Holmes, Philip; Lumley, John L.; Berkooz, Gal (1996). Turbulence, Coherent Structures, Dynamical Systems and Symmetry. Cambridge: Cambridge University Press. doi:10.1017/cbo9780511622700. ISBN 978-0-511-62270-0.
Copeland, Dylan; Cheung, Siu Wun; Huynh, Kevin; Choi, Youngsoo (2021). "Reduced order models for Lagrangian hydrodynamics". Computer Methods in Applied Mechanics and Engineering. 388 114259. arXiv:2104.11404. doi:10.1016/j.cma.2021.114259. ISSN 0045-7825. S2CID 233388014.
McBane, Sean; Choi, Youngsoo (1 August 2021). "Component-wise reduced order model lattice-type structure design". Computer Methods in Applied Mechanics and Engineering. 381 113813. arXiv:2010.10770. Bibcode:2021CMAME.381k3813M. doi:10.1016/j.cma.2021.113813. S2CID 224818337.
Walton, S.; Hassan, O.; Morgan, K. (2013). "Reduced order modelling for unsteady fluid flow using proper orthogonal decomposition and radial basis functions". Applied Mathematical Modelling. 37 (20–21): 8930–8945. doi:10.1016/j.apm.2013.04.025. ISSN 0307-904X.
Lieu, T.; Farhat, C.; Lesoinne, M. (2006). "Reduced-order fluid/structure modeling of a complete aircraft configuration". Computer Methods in Applied Mechanics and Engineering. 195 (41–43): 5730–5742. Bibcode:2006CMAME.195.5730L. doi:10.1016/j.cma.2005.08.026. ISSN 0045-7825.
Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C.C.; Navon, I.M. (2016). "Non-intrusive reduced order modelling of fluid–structure interactions" (PDF). Computer Methods in Applied Mechanics and Engineering. 303: 35–54. Bibcode:2016CMAME.303...35X. doi:10.1016/j.cma.2015.12.029. ISSN 0045-7825.
Colciago, C.M.; Deparis, S.; Quarteroni, A. (2014). "Comparisons between reduced order models and full 3D models for fluid–structure interaction problems in haemodynamics". Journal of Computational and Applied Mathematics. 265: 120–138. doi:10.1016/j.cam.2013.09.049. ISSN 0377-0427.

elsevier.com (Global: 610^th place; English: 704^th place)

authors.elsevier.com

Copeland, Dylan; Cheung, Siu Wun; Huynh, Kevin; Choi, Youngsoo (2021). "Reduced order models for Lagrangian hydrodynamics". Computer Methods in Applied Mechanics and Engineering. 388 114259. arXiv:2104.11404. doi:10.1016/j.cma.2021.114259. ISSN 0045-7825. S2CID 233388014.
McBane, Sean; Choi, Youngsoo (1 August 2021). "Component-wise reduced order model lattice-type structure design". Computer Methods in Applied Mechanics and Engineering. 381 113813. arXiv:2010.10770. Bibcode:2021CMAME.381k3813M. doi:10.1016/j.cma.2021.113813. S2CID 224818337.

epfl.ch (Global: 4,521^st place; English: 4,877^th place)

infoscience.epfl.ch

Rozza, G.; Huynh, D. B. P.; Patera, A. T. (2008-05-21). "Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations". Archives of Computational Methods in Engineering. 15 (3): 229–275. doi:10.1007/s11831-008-9019-9. ISSN 1134-3060. S2CID 13511413.

hal.science (Global: low place; English: low place)

polytechnique.hal.science

Schmidt, P.J. (2010). "Dynamic mode decomposition of numerical and experimental data". Journal of Fluid Mechanics. 656: 5–28. Bibcode:2010JFM...656....5S. doi:10.1017/S0022112010001217.

handle.net (Global: 102^nd place; English: 76^th place)

hdl.handle.net

Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T. (16 October 2010). "Reduced Basis Techniques for Stochastic Problems". Archives of Computational Methods in Engineering. 17 (4): 435–454. arXiv:1004.0357. doi:10.1007/s11831-010-9056-z. hdl:1721.1/63915. S2CID 446613.
Benner, Peter; Gugercin, Serkan; Willcox, Karen (2015). "A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems" (PDF). SIAM Review. 57 (4): 483–531. doi:10.1137/130932715. hdl:1721.1/100939. ISSN 0036-1445. S2CID 16186635.
Hesthaven, J.S.; Pagliantini, C.; Rozza, G. (2022). "Reduced basis methods for time-dependent problems". Acta Numerica. 31: 265–345. doi:10.1017/S0962492922000058. hdl:11568/1169931.

harvard.edu (Global: 18^th place; English: 17^th place)

ui.adsabs.harvard.edu

Kerschen, Gaetan; Golinval, Jean-claude; VAKAKIS, ALEXANDER F.; BERGMAN, LAWRENCE A. (2005). "The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview". Nonlinear Dynamics. 41 (1–3): 147–169. Bibcode:2005NonDy..41..147K. CiteSeerX 10.1.1.530.8349. doi:10.1007/s11071-005-2803-2. ISSN 0924-090X. S2CID 17625377.
Choi, Youngsoo; Brown, Peter; Arrighi, William; Anderson, Robert; Huynh, Kevin (2021). "Space--time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems". Journal of Computational Physics. 424 109845. arXiv:1910.01260. Bibcode:2021JCoPh.42409845C. doi:10.1016/j.jcp.2020.109845. ISSN 0021-9991. S2CID 203641768.
Choi, Youngsoo; Boncoraglio, Gabriele; Spenser, Anderson; Amsallem, David; Farhat, Charbel (2020). "Gradient-based constrained optimization using a database of linear reduced-order models". Journal of Computational Physics. 423 109787. arXiv:1506.07849. Bibcode:2020JCoPh.42309787C. doi:10.1016/j.jcp.2020.109787. S2CID 60788542.
Rowley, C.W.; Marsden, J.E. (2000). "Reconstruction equations and the Karhunen–Loève expansion for systems with symmetry". Physica D: Nonlinear Phenomena. 142 (1–2): 1–19. Bibcode:2000PhyD..142....1R. doi:10.1016/S0167-2789(00)00042-7.
Ohlberger, M.; Rave, S. (2013). "Nonlinear reduced basis approximation of parameterized evolution equations via the method of freezing". Comptes Rendus Mathematique. 351 (23–24): 901–906. arXiv:1304.4513. Bibcode:2013CRMat.351..901O. doi:10.1016/j.crma.2013.10.028.
Reiss, J.; Schulze, P.; Sesterhenn, J.; Mehrmann, V. (2018). "The Shifted Proper Orthogonal Decomposition: A Mode Decomposition for Multiple Transport Phenomena". SIAM Journal on Scientific Computing. 40 (3): A1322–A1344. arXiv:1512.01985. Bibcode:2018SJSC...40A1322R. doi:10.1137/17M1140571.
Peherstorfer, B. (2020). "Model Reduction for Transport-Dominated Problems via Online Adaptive Bases and Adaptive Sampling". SIAM Journal on Scientific Computing. 42 (5): A2803–A2836. arXiv:1812.02094. Bibcode:2020SJSC...42A2803P. doi:10.1137/19M1257275.
Rowley, C.W.; Mezic, I.; Bagheri, S.; Schlatter, P.; Henningson, D.S. (2009). "Spectral analysis of nonlinear flows". Journal of Fluid Mechanics. 641: 115–127. Bibcode:2009JFM...641..115R. doi:10.1017/S0022112009992059.
Schmidt, P.J. (2010). "Dynamic mode decomposition of numerical and experimental data". Journal of Fluid Mechanics. 656: 5–28. Bibcode:2010JFM...656....5S. doi:10.1017/S0022112010001217.
Peherstorfer, B.; Willcox, K. (2016). "Data-driven operator inference for nonintrusive projection-based model reduction". Computer Methods in Applied Mechanics and Engineering. 306: 196–215. Bibcode:2016CMAME.306..196P. doi:10.1016/j.cma.2016.03.025.
Umunnakwe, Chisom Bernhard; Zawra, Ibrahim; Niessner, Martin; Rudnyi, Evgenii; Hohlfeld, Dennis; Bechtold, Tamara (2023). "Compact modelling of a thermo-mechanical finite element model of a microelectronic package". Microelectronics Reliability. 151 (115238) 115238. Bibcode:2023MiRe..15115238U. doi:10.1016/j.microrel.2023.115238.
McBane, Sean; Choi, Youngsoo (1 August 2021). "Component-wise reduced order model lattice-type structure design". Computer Methods in Applied Mechanics and Engineering. 381 113813. arXiv:2010.10770. Bibcode:2021CMAME.381k3813M. doi:10.1016/j.cma.2021.113813. S2CID 224818337.
Lieu, T.; Farhat, C.; Lesoinne, M. (2006). "Reduced-order fluid/structure modeling of a complete aircraft configuration". Computer Methods in Applied Mechanics and Engineering. 195 (41–43): 5730–5742. Bibcode:2006CMAME.195.5730L. doi:10.1016/j.cma.2005.08.026. ISSN 0045-7825.
Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C.C.; Navon, I.M. (2016). "Non-intrusive reduced order modelling of fluid–structure interactions" (PDF). Computer Methods in Applied Mechanics and Engineering. 303: 35–54. Bibcode:2016CMAME.303...35X. doi:10.1016/j.cma.2015.12.029. ISSN 0045-7825.

mit.edu (Global: 415^th place; English: 327^th place)

dspace.mit.edu

Benner, Peter; Gugercin, Serkan; Willcox, Karen (2015). "A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems" (PDF). SIAM Review. 57 (4): 483–531. doi:10.1137/130932715. hdl:1721.1/100939. ISSN 0036-1445. S2CID 16186635.

nih.gov (Global: 4^th place; English: 4^th place)

pubmed.ncbi.nlm.nih.gov

Ovchinnikov, Alexey; Pérez Verona, Isabel; Pogudin, Gleb; Tribastone, Mirco (2021-07-19). Valencia, Alfonso (ed.). "CLUE: exact maximal reduction of kinetic models by constrained lumping of differential equations". Bioinformatics. 37 (12): 1732–1738. arXiv:2004.11961. doi:10.1093/bioinformatics/btab010. ISSN 1367-4803. PMID 33532849.

oup.com (Global: 485^th place; English: 440^th place)

academic.oup.com

Ovchinnikov, Alexey; Pérez Verona, Isabel; Pogudin, Gleb; Tribastone, Mirco (2021-07-19). Valencia, Alfonso (ed.). "CLUE: exact maximal reduction of kinetic models by constrained lumping of differential equations". Bioinformatics. 37 (12): 1732–1738. arXiv:2004.11961. doi:10.1093/bioinformatics/btab010. ISSN 1367-4803. PMID 33532849.

psu.edu (Global: 207^th place; English: 136^th place)

citeseerx.ist.psu.edu

Antoulas, A.C. (July 2004). "Approximation of Large-Scale Dynamical Systems: An Overview". IFAC Proceedings Volumes. 37 (11): 19–28. CiteSeerX 10.1.1.29.3565. doi:10.1016/S1474-6670(17)31584-7.
Kerschen, Gaetan; Golinval, Jean-claude; VAKAKIS, ALEXANDER F.; BERGMAN, LAWRENCE A. (2005). "The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview". Nonlinear Dynamics. 41 (1–3): 147–169. Bibcode:2005NonDy..41..147K. CiteSeerX 10.1.1.530.8349. doi:10.1007/s11071-005-2803-2. ISSN 0924-090X. S2CID 17625377.
Bai, Zhaojun (2002). "Krylov subspace techniques for reduced-order modeling of large-scale dynamical systems". Applied Numerical Mathematics. 43 (1–2): 9–44. CiteSeerX 10.1.1.131.8251. doi:10.1016/S0168-9274(02)00116-2.

sciencedirect.com (Global: 149^th place; English: 178^th place)

Choi, Youngsoo; Brown, Peter; Arrighi, William; Anderson, Robert; Huynh, Kevin (2021). "Space--time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems". Journal of Computational Physics. 424 109845. arXiv:1910.01260. Bibcode:2021JCoPh.42409845C. doi:10.1016/j.jcp.2020.109845. ISSN 0021-9991. S2CID 203641768.
Choi, Youngsoo; Boncoraglio, Gabriele; Spenser, Anderson; Amsallem, David; Farhat, Charbel (2020). "Gradient-based constrained optimization using a database of linear reduced-order models". Journal of Computational Physics. 423 109787. arXiv:1506.07849. Bibcode:2020JCoPh.42309787C. doi:10.1016/j.jcp.2020.109787. S2CID 60788542.
Kim, Youngkyu; Choi, Youngsoo; Widemann, David; Zohdi, Tarek (2021). "A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder". Journal of Computational Physics. 451 110841. arXiv:2009.11990. doi:10.1016/j.jcp.2021.110841. S2CID 221949087.

semanticscholar.org (Global: 11^th place; English: 8^th place)

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Rozza, G.; Huynh, D. B. P.; Patera, A. T. (2008-05-21). "Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations". Archives of Computational Methods in Engineering. 15 (3): 229–275. doi:10.1007/s11831-008-9019-9. ISSN 1134-3060. S2CID 13511413.
Kerschen, Gaetan; Golinval, Jean-claude; VAKAKIS, ALEXANDER F.; BERGMAN, LAWRENCE A. (2005). "The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview". Nonlinear Dynamics. 41 (1–3): 147–169. Bibcode:2005NonDy..41..147K. CiteSeerX 10.1.1.530.8349. doi:10.1007/s11071-005-2803-2. ISSN 0924-090X. S2CID 17625377.
Choi, Youngsoo; Brown, Peter; Arrighi, William; Anderson, Robert; Huynh, Kevin (2021). "Space--time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems". Journal of Computational Physics. 424 109845. arXiv:1910.01260. Bibcode:2021JCoPh.42409845C. doi:10.1016/j.jcp.2020.109845. ISSN 0021-9991. S2CID 203641768.
Boyaval, S.; Le Bris, C.; Lelièvre, T.; Maday, Y.; Nguyen, N. C.; Patera, A. T. (16 October 2010). "Reduced Basis Techniques for Stochastic Problems". Archives of Computational Methods in Engineering. 17 (4): 435–454. arXiv:1004.0357. doi:10.1007/s11831-010-9056-z. hdl:1721.1/63915. S2CID 446613.
Benner, Peter; Gugercin, Serkan; Willcox, Karen (2015). "A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems" (PDF). SIAM Review. 57 (4): 483–531. doi:10.1137/130932715. hdl:1721.1/100939. ISSN 0036-1445. S2CID 16186635.
Chinesta, Francisco; Ladeveze, Pierre; Cueto, Elías (11 October 2011). "A Short Review on Model Order Reduction Based on Proper Generalized Decomposition" (PDF). Archives of Computational Methods in Engineering. 18 (4): 395–404. doi:10.1007/s11831-011-9064-7. S2CID 54512292.
Choi, Youngsoo; Boncoraglio, Gabriele; Spenser, Anderson; Amsallem, David; Farhat, Charbel (2020). "Gradient-based constrained optimization using a database of linear reduced-order models". Journal of Computational Physics. 423 109787. arXiv:1506.07849. Bibcode:2020JCoPh.42309787C. doi:10.1016/j.jcp.2020.109787. S2CID 60788542.
Kim, Youngkyu; Choi, Youngsoo; Widemann, David; Zohdi, Tarek (2021). "A fast and accurate physics-informed neural network reduced order model with shallow masked autoencoder". Journal of Computational Physics. 451 110841. arXiv:2009.11990. doi:10.1016/j.jcp.2021.110841. S2CID 221949087.
Copeland, Dylan; Cheung, Siu Wun; Huynh, Kevin; Choi, Youngsoo (2021). "Reduced order models for Lagrangian hydrodynamics". Computer Methods in Applied Mechanics and Engineering. 388 114259. arXiv:2104.11404. doi:10.1016/j.cma.2021.114259. ISSN 0045-7825. S2CID 233388014.
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swan.ac.uk (Global: low place; English: low place)

cronfa.swan.ac.uk

Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C.C.; Navon, I.M. (2016). "Non-intrusive reduced order modelling of fluid–structure interactions" (PDF). Computer Methods in Applied Mechanics and Engineering. 303: 35–54. Bibcode:2016CMAME.303...35X. doi:10.1016/j.cma.2015.12.029. ISSN 0045-7825.

whiterose.ac.uk (Global: 4,124^th place; English: 2,320^th place)

eprints.whiterose.ac.uk

Lassila, Toni; Manzoni, Andrea; Quarteroni, Alfio; Rozza, Gianluigi (2014). "Model Order Reduction in Fluid Dynamics: Challenges and Perspectives". Reduced Order Methods for Modeling and Computational Reduction (PDF). pp. 235–273. doi:10.1007/978-3-319-02090-7_9. ISBN 978-3-319-02089-1.

worldcat.org (Global: 5^th place; English: 5^th place)

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Rozza, G.; Huynh, D. B. P.; Patera, A. T. (2008-05-21). "Reduced Basis Approximation and a Posteriori Error Estimation for Affinely Parametrized Elliptic Coercive Partial Differential Equations". Archives of Computational Methods in Engineering. 15 (3): 229–275. doi:10.1007/s11831-008-9019-9. ISSN 1134-3060. S2CID 13511413.
Ovchinnikov, Alexey; Pérez Verona, Isabel; Pogudin, Gleb; Tribastone, Mirco (2021-07-19). Valencia, Alfonso (ed.). "CLUE: exact maximal reduction of kinetic models by constrained lumping of differential equations". Bioinformatics. 37 (12): 1732–1738. arXiv:2004.11961. doi:10.1093/bioinformatics/btab010. ISSN 1367-4803. PMID 33532849.
Kerschen, Gaetan; Golinval, Jean-claude; VAKAKIS, ALEXANDER F.; BERGMAN, LAWRENCE A. (2005). "The Method of Proper Orthogonal Decomposition for Dynamical Characterization and Order Reduction of Mechanical Systems: An Overview". Nonlinear Dynamics. 41 (1–3): 147–169. Bibcode:2005NonDy..41..147K. CiteSeerX 10.1.1.530.8349. doi:10.1007/s11071-005-2803-2. ISSN 0924-090X. S2CID 17625377.
Choi, Youngsoo; Brown, Peter; Arrighi, William; Anderson, Robert; Huynh, Kevin (2021). "Space--time reduced order model for large-scale linear dynamical systems with application to Boltzmann transport problems". Journal of Computational Physics. 424 109845. arXiv:1910.01260. Bibcode:2021JCoPh.42409845C. doi:10.1016/j.jcp.2020.109845. ISSN 0021-9991. S2CID 203641768.
Benner, Peter; Gugercin, Serkan; Willcox, Karen (2015). "A Survey of Projection-Based Model Reduction Methods for Parametric Dynamical Systems" (PDF). SIAM Review. 57 (4): 483–531. doi:10.1137/130932715. hdl:1721.1/100939. ISSN 0036-1445. S2CID 16186635.
Copeland, Dylan; Cheung, Siu Wun; Huynh, Kevin; Choi, Youngsoo (2021). "Reduced order models for Lagrangian hydrodynamics". Computer Methods in Applied Mechanics and Engineering. 388 114259. arXiv:2104.11404. doi:10.1016/j.cma.2021.114259. ISSN 0045-7825. S2CID 233388014.
Walton, S.; Hassan, O.; Morgan, K. (2013). "Reduced order modelling for unsteady fluid flow using proper orthogonal decomposition and radial basis functions". Applied Mathematical Modelling. 37 (20–21): 8930–8945. doi:10.1016/j.apm.2013.04.025. ISSN 0307-904X.
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Xiao, D.; Yang, P.; Fang, F.; Xiang, J.; Pain, C.C.; Navon, I.M. (2016). "Non-intrusive reduced order modelling of fluid–structure interactions" (PDF). Computer Methods in Applied Mechanics and Engineering. 303: 35–54. Bibcode:2016CMAME.303...35X. doi:10.1016/j.cma.2015.12.029. ISSN 0045-7825.
Colciago, C.M.; Deparis, S.; Quarteroni, A. (2014). "Comparisons between reduced order models and full 3D models for fluid–structure interaction problems in haemodynamics". Journal of Computational and Applied Mathematics. 265: 120–138. doi:10.1016/j.cam.2013.09.049. ISSN 0377-0427.

Model order reduction (English Wikipedia)

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