Haller, George; Kaszás, Bálint Data-driven linearization of dynamical systems. (English) Zbl 07924694 Nonlinear Dyn. 112, No. 21, 18639-18663 (2024). MSC: 37M99 65K05 65K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Song, Huailing; Ba, Yuming; Chen, Dongqin; Li, Qiuqi A model reduction method for parametric dynamical systems defined on complex geometries. (English) Zbl 07843826 J. Comput. Phys. 506, Article ID 112923, 19 p. (2024). MSC: 65Nxx 65Mxx 37Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Russo, Benjamin P.; Laiu, M. Paul Convergence of weak-SINDy surrogate models. (English) Zbl 1541.37096 SIAM J. Appl. Dyn. Syst. 23, No. 2, 1017-1051 (2024). MSC: 37M99 37N35 65G99 93B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Meng, Yuhuang; Huang, Jianguo; Qiu, Yue Koopman operator learning using invertible neural networks. (English) Zbl 07829517 J. Comput. Phys. 501, Article ID 112795, 16 p. (2024). MSC: 37Mxx 65Pxx 68Txx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rains, Jacob; Wang, Yi; House, Alec; Kaminsky, Andrew L.; Tison, Nathan A.; Korivi, Vamshi M. Constrained optimized dynamic mode decomposition with control for physically stable systems with exogeneous inputs. (English) Zbl 07808003 J. Comput. Phys. 496, Article ID 112604, 29 p. (2024). MSC: 93Bxx 37Nxx 37Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Colbrook, Matthew J.; Townsend, Alex Rigorous data-driven computation of spectral properties of Koopman operators for dynamical systems. (English) Zbl 1533.37165 Commun. Pure Appl. Math. 77, No. 1, 221-283 (2024). MSC: 37M99 37A05 65P99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Meng; Jiang, Lijian Data-driven probability density forecast for stochastic dynamical systems. (English) Zbl 07742908 J. Comput. Phys. 492, Article ID 112422, 25 p. (2023). MSC: 37Mxx 60Hxx 37Nxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Andreuzzi, Francesco; Demo, Nicola; Rozza, Gianluigi A dynamic mode decomposition extension for the forecasting of parametric dynamical systems. (English) Zbl 1527.37094 SIAM J. Appl. Dyn. Syst. 22, No. 3, 2432-2458 (2023). MSC: 37M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Rosenfeld, Joel A.; Kamalapurkar, Rushikesh Singular dynamic mode decomposition. (English) Zbl 1527.37096 SIAM J. Appl. Dyn. Syst. 22, No. 3, 2357-2381 (2023). MSC: 37M99 46E22 47B32 93B30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Morandin, Riccardo; Nicodemus, Jonas; Unger, Benjamin Port-Hamiltonian dynamic mode decomposition. (English) Zbl 1523.37086 SIAM J. Sci. Comput. 45, No. 4, A1690-A1710 (2023). MSC: 37M99 37N35 65P10 93B30 93C05 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Wilson, Dan Koopman operator inspired nonlinear system identification. (English) Zbl 1523.37088 SIAM J. Appl. Dyn. Syst. 22, No. 2, 1445-1471 (2023). MSC: 37M99 37N35 93B30 × Cite Format Result Cite Review PDF Full Text: DOI
Iwata, Tomoharu; Kawahara, Yoshinobu Neural dynamic mode decomposition for end-to-end modeling of nonlinear dynamics. (English) Zbl 1522.37090 J. Comput. Dyn. 10, No. 2, 268-280 (2023). MSC: 37M99 68T07 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Ding, Weiyang; Li, Jie Higher order extended dynamic mode decomposition based on the structured total least squares. (English) Zbl 1517.37088 SIAM J. Sci. Comput. 45, No. 2, A985-A1011 (2023). MSC: 37M99 × Cite Format Result Cite Review PDF Full Text: DOI
Katrutsa, Aleksandr; Utyuzhnikov, Sergey; Oseledets, Ivan Extension of dynamic mode decomposition for dynamic systems with incomplete information based on t-model of optimal prediction. (English) Zbl 07652793 J. Comput. Phys. 476, Article ID 111913, 10 p. (2023). MSC: 37Mxx 37Nxx 65Pxx × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huhn, Quincy A.; Tano, Mauricio E.; Ragusa, Jean C.; Choi, Youngsoo Parametric dynamic mode decomposition for reduced order modeling. (English) Zbl 07649273 J. Comput. Phys. 475, Article ID 111852, 20 p. (2023). MSC: 65Mxx 37Mxx 65-XX × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Amor, Christian; Schlatter, Philipp; Vinuesa, Ricardo; Le Clainche, Soledad Higher-order dynamic mode decomposition on-the-fly: a low-order algorithm for complex fluid flows. (English) Zbl 07649270 J. Comput. Phys. 475, Article ID 111849, 25 p. (2023). MSC: 76Dxx 76Exx 37Mxx × Cite Format Result Cite Review PDF Full Text: DOI
Gibson, Andrew J.; Calvisi, Michael L.; Yee, Xin C. Koopman linear quadratic regulator using complex eigenfunctions for nonlinear dynamical systems. (English) Zbl 1509.37121 SIAM J. Appl. Dyn. Syst. 21, No. 4, 2463-2486 (2022). MSC: 37M99 37N35 × Cite Format Result Cite Review PDF Full Text: DOI
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 1524.62464 Comput. Math. Appl. 116, 194-211 (2022). MSC: 62M20 93E11 37N10 65C05 37M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Brunton, Steven L.; Budišić, Marko; Kaiser, Eurika; Kutz, J. Nathan Modern Koopman theory for dynamical systems. (English) Zbl 1497.37105 SIAM Rev. 64, No. 2, 229-340 (2022). MSC: 37M99 37C10 37N35 47A35 47B33 34A34 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jiang, Lijian; Liu, Ningxin Correcting noisy dynamic mode decomposition with Kalman filters. (English) Zbl 07525169 J. Comput. Phys. 461, Article ID 111175, 23 p. (2022). MSC: 37Mxx 76Mxx 37Nxx × Cite Format Result Cite Review PDF Full Text: DOI
Kirsten, Gerhard Multilinear POD-DEIM model reduction for 2D and 3D semilinear systems of differential equations. (English) Zbl 1497.37106 J. Comput. Dyn. 9, No. 2, 159-183 (2022). MSC: 37M99 65N06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Gao, Zhen; Lin, Yifan; Sun, Xiang; Zeng, Xueying A reduced order method for nonlinear parameterized partial differential equations using dynamic mode decomposition coupled with \(k\)-nearest-neighbors regression. (English) Zbl 07517736 J. Comput. Phys. 452, Article ID 110907, 18 p. (2022). MSC: 37Mxx 65Mxx 65Pxx × Cite Format Result Cite Review PDF Full Text: DOI
Rosenfeld, Joel A.; Kamalapurkar, Rushikesh; Gruss, L. Forest; Johnson, Taylor T. Dynamic mode decomposition for continuous time systems with the Liouville operator. (English) Zbl 1497.37108 J. Nonlinear Sci. 32, No. 1, Paper No. 5, 30 p. (2022). MSC: 37M99 46E22 47B33 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Lin, Yen Ting; Tian, Yifeng; Livescu, Daniel; Anghel, Marian Data-driven learning for the Mori-Zwanzig formalism: a generalization of the Koopman learning framework. (English) Zbl 1489.37096 SIAM J. Appl. Dyn. Syst. 20, No. 4, 2558-2601 (2021). MSC: 37M99 65P99 82C31 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Hassani, H.; Machado, J. A. Tenreiro; Mehrabi, S. An optimization technique for solving a class of nonlinear fractional optimal control problems: application in cancer treatment. (English) Zbl 1481.49037 Appl. Math. Modelling 93, 868-884 (2021). MSC: 49N90 92C50 93C10 49K21 49M27 × Cite Format Result Cite Review PDF Full Text: DOI
Reiss, Julius Optimization-based modal decomposition for systems with multiple transports. (English) Zbl 07364388 SIAM J. Sci. Comput. 43, No. 3, A2079-A2101 (2021). MSC: 65Z05 35Q35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sapam, Sobita; Sinha, Bikas Kumar Graeco Latin square designs with neighbor effects. (English) Zbl 1458.62165 J. Stat. Theory Pract. 15, No. 1, Paper No. 4, 9 p. (2021). MSC: 62K10 05B15 × Cite Format Result Cite Review PDF Full Text: DOI
Črnjarić-Žic, Nelida; Maćešić, Senka; Mezić, Igor Koopman operator spectrum for random dynamical systems. (English) Zbl 1467.37084 J. Nonlinear Sci. 30, No. 5, 2007-2056 (2020). MSC: 37M99 37H10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Parker, Jeremy P.; Page, Jacob Koopman analysis of isolated fronts and solitons. (English) Zbl 1465.37097 SIAM J. Appl. Dyn. Syst. 19, No. 4, 2803-2828 (2020). MSC: 37M99 37K40 35Q51 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Slipantschuk, Julia; Bandtlow, Oscar F.; Just, Wolfram Dynamic mode decomposition for analytic maps. (English) Zbl 1452.37087 Commun. Nonlinear Sci. Numer. Simul. 84, Article ID 105179, 9 p. (2020). MSC: 37M99 37C30 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Fathi, Mojtaba F.; Baghaie, Ahmadreza; Bakhshinejad, Ali; Sacho, Raphael H.; D’Souza, Roshan M. Time-resolved denoising using model order reduction, dynamic mode decomposition, and Kalman filter and smoother. (English) Zbl 1448.37112 J. Comput. Dyn. 7, No. 2, 469-487 (2020). MSC: 37M99 65T60 68U01 × Cite Format Result Cite Review PDF Full Text: DOI
Alfatlawi, Mustaffa; Srivastava, Vaibhav An incremental approach to online dynamic mode decomposition for time-varying systems with applications to EEG data modeling. (English) Zbl 1450.37080 J. Comput. Dyn. 7, No. 2, 209-241 (2020). MSC: 37M99 68U01 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chernozhukov, Victor; Fernández-Val, Iván; Melly, Blaise; Wüthrich, Kaspar Generic inference on quantile and quantile effect functions for discrete outcomes. (English) Zbl 1437.62139 J. Am. Stat. Assoc. 115, No. 529, 123-137 (2020). MSC: 62G08 62G10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Link
Yeung, Melissa; Cohen-Steiner, David; Desbrun, Mathieu Material coherence from trajectories via Burau eigenanalysis of braids. (English) Zbl 1477.37095 Chaos 30, No. 3, 033122, 11 p. (2020). Reviewer: Jinrong Jiang (Beijing) MSC: 37N10 37C35 37E30 37M99 76B47 76U60 03D15 65Y20 20F36 × Cite Format Result Cite Review PDF Full Text: DOI HAL
Matthies, Hermann G.; Ohayon, Roger Analysis of parametric models. Linear methods and approximations. (English) Zbl 1444.47080 Adv. Comput. Math. 45, No. 5-6, 2555-2586 (2019). Reviewer: Adhemar Bultheel (Leuven) MSC: 47N70 93C30 00A71 47A68 46E22 35B30 37M99 41A45 41A63 60G20 60G60 65J99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Crannell, Annalisa; Frantz, Marc; Futamura, Fumiko Factoring a homography to analyze projective distortion. (English) Zbl 1446.51007 J. Math. Imaging Vis. 61, No. 7, 967-989 (2019). MSC: 51N15 14N05 51M35 × Cite Format Result Cite Review PDF Full Text: DOI
Lou, Zhilan; Shao, Jun; Yu, Menggang Optimal treatment assignment of multiple treatments with analysis of variance decomposition. (English) Zbl 1502.62100 Stat. Interface 12, No. 3, 355-363 (2019). MSC: 62P10 62G05 × Cite Format Result Cite Review PDF Full Text: DOI
de Leeuw, Bart; Dubinkina, Svetlana; Frank, Jason; Steyer, Andrew; Tu, Xuemin; Van Vleck, Erik Projected shadowing-based data assimilation. (English) Zbl 1406.37060 SIAM J. Appl. Dyn. Syst. 17, No. 4, 2446-2477 (2018). MSC: 37M99 37N99 68P20 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Mao, Qibo A comparison of the after-treatment techniques for Adomian modified decomposition method. (Chinese. English summary) Zbl 1413.65314 Chin. J. Comput. Mech. 34, No. 4, 517-522 (2017). MSC: 65L99 × Cite Format Result Cite Review PDF Full Text: DOI
Maasoumi, Esfandiar; Wang, Le What can we learn about the racial gap in the presence of sample selection? (English) Zbl 1388.62370 J. Econom. 199, No. 2, 117-130 (2017). MSC: 62P20 62G05 91B40 × Cite Format Result Cite Review PDF Full Text: DOI
Ågren, Göran I.; Barrandon, Matthieu; Saint-André, Laurent; Sainte-Marie, Julien Analysis of integro-differential equations modeling the vertical decomposition of soil organic matter. (English) Zbl 1349.35384 Q. Appl. Math. 75, No. 1, 131-153 (2017). MSC: 35R09 92F99 65M06 45K05 × Cite Format Result Cite Review PDF Full Text: DOI
Kutz, J. Nathan; Brunton, Steven L.; Brunton, Bingni W.; Proctor, Joshua L. Dynamic mode decomposition. Data-driven modeling of complex systems. (English) Zbl 1365.65009 Other Titles in Applied Mathematics 149. Philadelphia, PA: Society for Industrial and Applied Mathematics (SIAM) (ISBN 978-1-61197-449-2/pbk). xvi, 234 p. (2016). Reviewer: Seenith Sivasundaram (Daytona Beach) MSC: 65C20 65K10 65-02 65P99 37M99 37N99 47A70 93B07 93B30 92D30 92C20 91G10 65Z05 65T60 × Cite Format Result Cite Review PDF
Munthe-Kaas, Hans; Verdier, Olivier Integrators on homogeneous spaces: isotropy choice and connections. (English) Zbl 1351.22011 Found. Comput. Math. 16, No. 4, 899-939 (2016). Reviewer: Kanakadurga Sivakumar (Chennai) MSC: 22F30 53C30 14M15 65Pxx 37Mxx 65L06 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kuraz, Michal; Mayer, Petr; Pech, Pavel Solving the nonlinear and nonstationary Richards equation with two-level adaptive domain decomposition (\(dd\)-adaptivity). (English) Zbl 1410.76431 Appl. Math. Comput. 267, 207-222 (2015). MSC: 76S05 76M10 65M60 × Cite Format Result Cite Review PDF Full Text: DOI
Shcherbakov, Dmitry; Ehrhardt, Matthias; Günther, Michael; Peardon, Michael Force-gradient nested multirate methods for Hamiltonian systems. (English) Zbl 1348.65177 Comput. Phys. Commun. 187, 91-97 (2015). MSC: 65P10 65D30 37M99 34C60 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Kutz, J. Nathan; Tu, Jonathan H.; Proctor, Joshua L.; Brunton, Steven L. Compressed sensing and dynamic mode decomposition. (English) Zbl 1347.94012 J. Comput. Dyn. 2, No. 2, 165-191 (2015). MSC: 94A12 65P99 37M99 37M10 76M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Benner, Peter; Gugercin, Serkan; Willcox, Karen A survey of projection-based model reduction methods for parametric dynamical systems. (English) Zbl 1339.37089 SIAM Rev. 57, No. 4, 483-531 (2015). MSC: 37M99 35B30 41A05 65K99 93A15 93C05 × Cite Format Result Cite Review PDF Full Text: DOI Link
Commenges, Daniel; Gégout-Petit, Anne The stochastic system approach for estimating dynamic treatments effect. (English) Zbl 1333.62098 Lifetime Data Anal. 21, No. 4, 561-578 (2015). MSC: 62G05 62P10 60G42 × Cite Format Result Cite Review PDF Full Text: DOI
Kuraz, Michal; Mayer, Petr; Pech, Pavel Solving the nonlinear Richards equation model with adaptive domain decomposition. (English) Zbl 1446.76161 J. Comput. Appl. Math. 270, 2-11 (2014). MSC: 76S05 65M55 74F10 × Cite Format Result Cite Review PDF Full Text: DOI
Kline, Patrick A note on variance estimation for the Oaxaca estimator of average treatment effects. (English) Zbl 1293.62035 Econ. Lett. 122, No. 3, 428-431 (2014). MSC: 62E20 62F35 × Cite Format Result Cite Review PDF Full Text: DOI Link
Braverman, Alexander; Kazhdan, David Cartan decomposition for complex loop groups. (English) Zbl 1294.22018 Transform. Groups 19, No. 2, 303-311 (2014). Reviewer: Walter Freyn (Augsburg) MSC: 22E67 22E10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Guo, Yuzhu; Guo, L. Z.; Billings, S. A.; Coca, Daniel; Lang, Z. Q. Volterra series approximation of a class of nonlinear dynamical systems using the Adomian decomposition method. (English) Zbl 1281.37027 Nonlinear Dyn. 74, No. 1-2, 359-371 (2013). MSC: 37M99 65Q30 44A35 70K99 45D05 × Cite Format Result Cite Review PDF Full Text: DOI
Ragulskis, Minvydas; Navickas, Zenonas; Palivonaite, Rita; Landauskas, Mantas Algebraic approach for the exploration of the onset of chaos in discrete nonlinear dynamical systems. (English) Zbl 1254.37051 Commun. Nonlinear Sci. Numer. Simul. 17, No. 11, 4304-4315 (2012). MSC: 37M99 37M20 × Cite Format Result Cite Review PDF Full Text: DOI
Kottwitz, Robert; Viehmann, Eva Generalized affine Springer fibres. (English) Zbl 1287.22007 J. Inst. Math. Jussieu 11, No. 3, 569-609 (2012). Reviewer: Dongwen Liu (Storrs) MSC: 22E67 11F85 20G25 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Dorfmeister, Josef F. Open Iwasawa cells and applications to surface theory. (English) Zbl 1252.22011 Bielawski, Roger (ed.) et al., Variational problems in differential geometry. Proceedings of the workshop, Leeds, UK, March 30–April 2, 2009. Cambridge: Cambridge University Press (ISBN 978-0-521-28274-1/pbk). London Mathematical Society Lecture Note Series 394, 56-67 (2012). Reviewer: Hubert Gollek (Berlin) MSC: 22E67 53C40 22E46 × Cite Format Result Cite Review PDF
Mulaik, Stanley A. Foundations of factor analysis. 2nd ed. (English) Zbl 1188.62185 Chapman & Hall/CRC Statistics in the Social and Behavioral Sciences Series. Boca Raton, FL: CRC Press (ISBN 978-1-4200-9961-4/hbk). xxiii, 524 p. (2010). Reviewer: Yuehua Wu (Toronto) MSC: 62H25 62-02 62-01 62P15 × Cite Format Result Cite Review PDF
De Medts, Tom; Gramlich, Ralf; Horn, Max Iwasawa decompositions of split Kac-Moody groups. (English) Zbl 1253.22013 J. Lie Theory 19, No. 2, 311-337 (2009). MSC: 22E67 20G44 20E42 51E24 × Cite Format Result Cite Review PDF Full Text: arXiv Link
Arai, Zin; Kalies, William; Kokubu, Hiroshi; Mischaikow, Konstantin; Oka, Hiroe; Pilarczyk, Paweł A database schema for the analysis of global dynamics of multiparameter systems. (English) Zbl 1186.37021 SIAM J. Appl. Dyn. Syst. 8, No. 3, 757-789 (2009). Reviewer: Jorge F. Yazlle (Salta) MSC: 37B35 37B30 37M99 37N25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Dorfmeister, Josef; Wu, Hongyou Unitarizations of loop group representations of fundamental groups. (English) Zbl 1135.22020 Nagoya Math. J. 187, 1-33 (2007). Reviewer: Hubert Gollek (Berlin) MSC: 22E67 53A05 53C42 46J10 × Cite Format Result Cite Review PDF Full Text: DOI
Cafagna, Donato; Grassi, Giuseppe Decomposition method for studying smooth Chua’s equation with application to hyperchaotic multiscroll attractors. (English) Zbl 1117.37017 Int. J. Bifurcation Chaos Appl. Sci. Eng. 17, No. 1, 209-226 (2007). MSC: 37D45 34C28 94C05 65M70 37M99 × Cite Format Result Cite Review PDF Full Text: DOI
Gruau, Cyril; Coupez, Thierry 3D tetrahedral, unstructured and anisotropic mesh generation with adaptation to natural and multidomain metric. (English) Zbl 1102.65122 Comput. Methods Appl. Mech. Eng. 194, No. 48-49, 4951-4976 (2005). Reviewer: Michael Jung (Dresden) MSC: 65N50 65N30 65N55 × Cite Format Result Cite Review PDF Full Text: DOI
Adams, B. M.; Banks, H. T.; Davidian, M.; Kwon, Hee-Dae; Tran, H. T.; Wynne, S. N.; Rosenberg, E. S. HIV dynamics: Modeling, data analysis, and optimal treatment protocols. (English) Zbl 1075.92030 J. Comput. Appl. Math. 184, No. 1, 10-49 (2005). MSC: 92C50 62P10 49N90 92C60 49J15 × Cite Format Result Cite Review PDF Full Text: DOI Link
Xiang, Xinmin The long-time behaviour for nonlinear Schrödinger equation and its rational pseudospectral approximation. (English) Zbl 1181.37114 Discrete Contin. Dyn. Syst., Ser. B 5, No. 2, 469-488 (2005). MSC: 37M99 65M70 65N55 × Cite Format Result Cite Review PDF Full Text: DOI
Kellersch, Peter The Iwasawa decomposition for the untwisted loop group of semisimple Lie groups. (Eine Verallgemeinerung der Iwasawa Zerlegung in Loop Gruppen.) (German) Zbl 1112.22006 DGDS. Differential Geometry - Dynamical Systems. Monographs 4. Bucharest: Geometry Balkan Press; München: Tech. Univ. (Dissertation 1999). 134 p., electronic only, open access (2004). MSC: 22E67 22-02 × Cite Format Result Cite Review PDF Full Text: Link
Carletti, Timoteo The \(1/2\)-complex Bruno function and the Yoccoz function: a numerical study of the Marmi-Moussa-Yoccoz conjecture. (English) Zbl 1173.37324 Exp. Math. 12, No. 4, 491-506 (2003). MSC: 37F50 11A55 42B25 37A45 37F10 37M99 × Cite Format Result Cite Review PDF Full Text: DOI arXiv Euclid EuDML
Rathinam, Muruhan; Petzold, Linda R. A new look at proper orthogonal decomposition. (English) Zbl 1053.65106 SIAM J. Numer. Anal. 41, No. 5, 1893-1925 (2003). MSC: 65Y20 37M99 × Cite Format Result Cite Review PDF Full Text: DOI
Bălan, Vladimir Birkhoff and Iwasawa loop group splittings in the Willmore DPW framework. (English) Zbl 1056.53041 An. Univ. Timiș., Ser. Mat.-Inform. 39, Spec. Iss. Mat., 21-29 (2001). MSC: 53C43 53A30 22E67 53C42 58E20 × Cite Format Result Cite Review PDF
Borac, Silviu; Seiler, Ruedi Loop group factorization of biorthogonal wavelet bases. (English) Zbl 0974.42029 Gesztesy, Fritz (ed.) et al., Stochastic processes, physics and geometry: New interplays. II. A volume in honor of Sergio Albeverio. Proceedings of the conference on infinite dimensional (stochastic) analysis and quantum physics, Leipzig, Germany, January 18-22, 1999. Providence, RI: American Mathematical Society (AMS). CMS Conf. Proc. 29, 59-73 (2000). Reviewer: Manfred Tasche (Rostock) MSC: 42C40 22E67 43A80 94A11 × Cite Format Result Cite Review PDF
Balan, Vladimir; Dorfmeister, Josef A Weierstrass-type representation for harmonic maps from Riemann surfaces to general Lie groups. (English) Zbl 0958.58012 Balkan J. Geom. Appl. 5, No. 1, 7-37 (2000). Reviewer: Shen Yi-Bing (Hangzhou) MSC: 58E20 53C43 22E67 30F15 × Cite Format Result Cite Review PDF Full Text: EuDML EMIS
Fatone, Lorella; Gervasio, Paola; Quarteroni, Alfio Multimodels for incompressible flows. (English) Zbl 0962.76021 J. Math. Fluid Mech. 2, No. 2, 126-150 (2000). MSC: 76D05 76D07 65M55 76M10 76M22 × Cite Format Result Cite Review PDF Full Text: DOI
Balan, V. Loop group decompositions in the generalized \(DPW\) method. (English) Zbl 0999.22022 Novi Sad J. Math. 29, No. 3, 55-63 (1999). Reviewer: Neda Bokan (Beograd) MSC: 22E67 22E60 53C35 49Q05 × Cite Format Result Cite Review PDF Full Text: EuDML
Rao, Bhaskar D. Unified treatment of LS, TLS, and truncated SVD methods using a weighted TLS framework. (English) Zbl 0892.62054 Van Huffel, Sabine (ed.), Recent advances in total least squares techniques and errors-in-variables modeling. Proceedings of the 2nd international workshop on total least squares and errors-in-variables modeling, Leuven, Belgium, August 21-24, 1996. Philadelphia, PA: Society for Industrial and Applied Mathematics, SIAM. 11-20 (1997). MSC: 62J99 62H12 65C99 × Cite Format Result Cite Review PDF
Guest, Martin A. Harmonic maps, loop groups, and integrable systems. (English) Zbl 0898.58010 London Mathematical Society Student Texts. 38. Cambridge: Cambridge University Press. xiii, 194 p. (1997). Reviewer: Th.M.Rassias (Athens) MSC: 58E20 22E67 37J35 37K10 37-02 × Cite Format Result Cite Review PDF
Garland, H. A Cartan decomposition for \(p\)-adic loop groups. (English) Zbl 0837.22013 Math. Ann. 302, No. 1, 151-175 (1995). Reviewer: V.L.Popov (Moskva) MSC: 22E67 22E65 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Heinrichs, Wilhelm Efficient iterative solution of spectral systems for the Navier-Stokes equations. (English) Zbl 0886.76073 Wissenschaftliche Schriftenreihe Mathematik. 2. Berlin: Verlag Dr. Köster. Düsseldorf: Univ. Düsseldorf, Z3, 110 p. (1994). MSC: 76M25 76D05 76-02 65M70 × Cite Format Result Cite Review PDF
Mejza, Stanisław On some aspects of general balance in designed experiments. (English) Zbl 0770.62060 Statistica 52, No. 2, 263-278 (1992). MSC: 62K10 × Cite Format Result Cite Review PDF
Bourlard, H.; Kamp, Y. Auto-association by multilayer perceptrons and singular value decomposition. (English) Zbl 0651.92006 Biol. Cybern. 59, No. 4-5, 291-294 (1988). MSC: 92Cxx 92F05 68T99 × Cite Format Result Cite Review PDF Full Text: DOI Link
Porat, Moshe; Zeevi, Yehoshua Y. The generalized Gabor scheme of image representation in biological and machine vision. (English) Zbl 0645.92026 IEEE Trans. Pattern Anal. Mach. Intell. 10, No. 4, 452-468 (1988). MSC: 92F05 94A99 68T10 91E30 × Cite Format Result Cite Review PDF Full Text: DOI
Bailey, R. A.; Rowley, C. A. Valid randomization. (English) Zbl 0612.62110 Proc. R. Soc. Lond., Ser. A 410, 105-124 (1987). Reviewer: D.V.Chopra MSC: 62K99 × Cite Format Result Cite Review PDF Full Text: DOI
Natterer, F. The mathematics of computerized tomography. (English) Zbl 0617.92001 Stuttgart: B. G. Teubner; Chichester etc.: John Wiley & Sons. X, 222 p. DM 72.00 (1986). Reviewer: R.Bürger MSC: 92-02 92C50 44-02 78A70 78-02 92F05 × Cite Format Result Cite Review PDF
Bailey, R. A.; Speed, T. P. Rectangular lattice designs: Efficiency factors and analysis. (English) Zbl 0598.62089 Ann. Stat. 14, 874-895 (1986). Reviewer: P.Reichensperger MSC: 62K10 05B15 × Cite Format Result Cite Review PDF Full Text: DOI
Yamada, Katsuya Regular precession in Jacobi’s decomposition theorem. (English) Zbl 0589.70006 J. Math. Phys. 26, 1228-1233 (1985). MSC: 70E05 × Cite Format Result Cite Review PDF Full Text: DOI
El Mossadeq, A.; Kobilinsky, A.; Collombier, D. Construction d’orthogonaux dans les groupes abéliens finis et confusions d’effets dans les plans factoriels. (French) Zbl 0586.62124 Linear Algebra Appl. 70, 303-320 (1985). Reviewer: D.V.Chopra MSC: 62K15 20K01 05B05 × Cite Format Result Cite Review PDF Full Text: DOI
Louis, A. K. Laguerre and computerized tomography: consistency conditions and stability of the Radon transform. (English) Zbl 0582.44001 Polynômes orthogonaux et applications, Proc. Laguerre Symp., Bar-le- Duc/France 1984, Lect. Notes Math. 1171, 524-531 (1985). Reviewer: N.Köckler MSC: 44A15 45P05 85A99 92F05 × Cite Format Result Cite Review PDF
Houtman, A.; Speed, T. P. The analysis of multistrata designed experiments with incomplete data. (English) Zbl 0572.62063 Aust. J. Stat. 26, 227-246 (1984). Reviewer: J.S.Murty MSC: 62K10 62K99 62J10 × Cite Format Result Cite Review PDF Full Text: DOI
Cohen, Michael A.; Grossberg, Stephen Absolute stability of global pattern formation and parallel memory storage by competitive neural networks. (English) Zbl 0553.92009 IEEE Trans. Syst. Man Cybern. 13, 815-826 (1983). Reviewer: W.Pedrycz MSC: 92Cxx 93D05 92F05 37-XX 93C15 × Cite Format Result Cite Review PDF Full Text: DOI
Krzakala, Gerard; Aubrun, Michel Équilibrage hierarchise de bilans de mesures pour une classe usuelle de modeles. (French) Zbl 0519.93009 RAIRO, Autom. Syst. Anal. Control 17, 61-86 (1983). MSC: 93A13 62N99 93C10 49M27 49M29 62A01 93A15 × Cite Format Result Cite Review PDF
Roebruck, P. Zur Optimalitaet des F-Testes für lineare Hypothesen über lineare Modelle mit gemischten Effekten. (German) Zbl 0519.62055 Metrika 30, 85-91 (1983). MSC: 62J10 × Cite Format Result Cite Review PDF Full Text: DOI EuDML
Chao, B. Fend Excitation of normal modes on non-rotating and rotating earth models. (English) Zbl 0566.73084 Geophys. J. R. Astron. Soc. 68, 295-315 (1982). MSC: 74L05 47A10 47A70 47B40 47A05 × Cite Format Result Cite Review PDF
Agusti, Jaume; Villanueva, Juan J.; Aguilo, Jordi Modularity grade of the neural networks synthesized with z-FIVEX formal neurones. (English) Zbl 0527.92030 Cybernetics and systems research, Proc. 6th Eur. Meet., Vienna/ Austria 1982, 333-338 (1982). MSC: 92F05 94C99 92Cxx × Cite Format Result Cite Review PDF
Tar, Laszlo A generalized model of the Latin square design. II. (English) Zbl 0482.62063 Publ. Math. Debr. 28, 163-172 (1981). MSC: 62K10 05B15 15A24 × Cite Format Result Cite Review PDF
Kimmel, Marek Cellular population dynamics. II. Investigation of solutions. (English) Zbl 0425.92004 Math. Biosci. 48, 225-239 (1980). MSC: 92Cxx 34K05 60G55 49K99 93C30 × Cite Format Result Cite Review PDF Full Text: DOI
Bergkvist, Hans Brittle crack propagation at non-uniform velocity. (English) Zbl 0422.73089 Numerical methods in fracture mechanics, Proc. 1st int. Conf., Swansea 1978, 685-695 (1978). MSC: 74R05 74B99 74H99 × Cite Format Result Cite Review PDF
Bendixson, J. Some theorems in the theory of sets of points. (Quelques théorèmes de la théorie des ensembles de points.) (French) JFM 15.0455.01 Act. Math. II, 415-429 (1883). Reviewer: Schlegel, Dr. (Waren) MSC: 51M35 57M20 × Cite Format Result Cite Review PDF Full Text: DOI