{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,7,15]],"date-time":"2026-07-15T06:10:47Z","timestamp":1784095847946,"version":"3.55.0"},"reference-count":60,"publisher":"Springer Science and Business Media LLC","issue":"6","license":[{"start":{"date-parts":[[2015,6,5]],"date-time":"2015-06-05T00:00:00Z","timestamp":1433462400000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["J Nonlinear Sci"],"published-print":{"date-parts":[[2015,12]]},"DOI":"10.1007\/s00332-015-9258-5","type":"journal-article","created":{"date-parts":[[2015,6,4]],"date-time":"2015-06-04T10:27:37Z","timestamp":1433413657000},"page":"1307-1346","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1810,"title":["A Data\u2013Driven Approximation of the Koopman Operator: Extending Dynamic Mode Decomposition"],"prefix":"10.1007","volume":"25","author":[{"ORCID":"https:\/\/orcid.org\/0000-0002-9896-2958","authenticated-orcid":false,"given":"Matthew O.","family":"Williams","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"Ioannis G.","family":"Kevrekidis","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-9099-5739","authenticated-orcid":false,"given":"Clarence W.","family":"Rowley","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]}],"member":"297","published-online":{"date-parts":[[2015,6,5]]},"reference":[{"key":"9258_CR1","doi-asserted-by":"crossref","unstructured":"Bagheri, S.: Effects of weak noise on oscillating flows: linking quality factor, Floquet modes and Koopman spectrum. Phys. Fluids. 26, 094104 (2014)","DOI":"10.1063\/1.4895898"},{"key":"9258_CR2","doi-asserted-by":"crossref","first-page":"596","DOI":"10.1017\/jfm.2013.249","volume":"726","author":"S Bagheri","year":"2013","unstructured":"Bagheri, S.: Koopman-mode decomposition of the cylinder wake. J. Fluid Mech. 726, 596\u2013623 (2013)","journal-title":"J. Fluid Mech."},{"issue":"1","key":"9258_CR3","doi-asserted-by":"crossref","first-page":"3","DOI":"10.1016\/S0045-7825(96)01078-X","volume":"139","author":"T Belytschko","year":"1996","unstructured":"Belytschko, T., Krongauz, Y., Organ, D., Fleming, M., Krysl, P.: Meshless methods: an overview and recent developments. Comput. Methods Appl. Mech. Eng. 139(1), 3\u201347 (1996)","journal-title":"Comput. Methods Appl. Mech. Eng."},{"key":"9258_CR4","unstructured":"Bishop, C.M., et al.: Pattern Recognition and Machine Learning (Information Science and Statistics), Springer-Verlag, New York (2006)"},{"key":"9258_CR5","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611972641","volume-title":"Applied and Computational Measurable Dynamics","author":"EM Bollt","year":"2013","unstructured":"Bollt, E.M., Santitissadeekorn, N.: Applied and Computational Measurable Dynamics. SIAM, Philadelphia (2013)"},{"key":"9258_CR6","volume-title":"Chebyshev and Fourier Spectral Methods","author":"JP Boyd","year":"2013","unstructured":"Boyd, J.P.: Chebyshev and Fourier Spectral Methods. Courier Dover Publications, New York (2013)"},{"issue":"4","key":"9258_CR7","doi-asserted-by":"crossref","first-page":"047510","DOI":"10.1063\/1.4772195","volume":"22","author":"M Budi\u0161i\u0107","year":"2012","unstructured":"Budi\u0161i\u0107, M., Mohr, R., Mezi\u0107, I.: Applied Koopmanism. Chaos Interdiscip. J. Nonlinear Sci. 22(4), 047510 (2012)","journal-title":"Chaos Interdiscip. J. Nonlinear Sci."},{"key":"9258_CR8","doi-asserted-by":"crossref","first-page":"1255","DOI":"10.1016\/j.physd.2012.04.006","volume":"241","author":"M Budisic","year":"2012","unstructured":"Budisic, M., Mezic, I.: Geometry of the ergodic quotient reveals coherent structures in flows. Phys. D 241, 1255\u20131269 (2012)","journal-title":"Phys. D"},{"issue":"6","key":"9258_CR9","doi-asserted-by":"crossref","first-page":"887","DOI":"10.1007\/s00332-012-9130-9","volume":"22","author":"KK Chen","year":"2012","unstructured":"Chen, K.K., Tu, J.H., Rowley, C.W.: Variants of dynamic mode decomposition: boundary condition, Koopman, and Fourier analyses. J. Nonlinear Sci. 22(6), 887\u2013915 (2012)","journal-title":"J. Nonlinear Sci."},{"issue":"1","key":"9258_CR10","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1016\/j.acha.2006.04.006","volume":"21","author":"RR Coifman","year":"2006","unstructured":"Coifman, R.R., Lafon, S.: Diffusion maps. Appl. Comput. Harmonic Anal. 21(1), 5\u201330 (2006)","journal-title":"Appl. Comput. Harmonic Anal."},{"issue":"1","key":"9258_CR11","doi-asserted-by":"crossref","first-page":"107","DOI":"10.1145\/1327452.1327492","volume":"51","author":"J Dean","year":"2008","unstructured":"Dean, J., Ghemawat, S.: MapReduce: simplified data processing on large clusters. Commun. ACM 51(1), 107\u2013113 (2008)","journal-title":"Commun. ACM"},{"key":"9258_CR12","doi-asserted-by":"crossref","unstructured":"Dellnitz, M., Froyland, G., Junge, O.: The algorithms behind GAIO\u2014set oriented numerical methods for dynamical systems. In: Bernold Fiedler (ed.) Ergodic Theory, Analysis, and Efficient Simulation of Dynamical Systems, pp. 145\u2013174, Springer, Berlin (2001)","DOI":"10.1007\/978-3-642-56589-2_7"},{"issue":"18","key":"9258_CR13","doi-asserted-by":"crossref","first-page":"184109","DOI":"10.1063\/1.4828457","volume":"139","author":"CJ Dsilva","year":"2013","unstructured":"Dsilva, C.J., Talmon, R., Rabin, N., Coifman, R.R., Kevrekidis, I.G.: Nonlinear intrinsic variables and state reconstruction in multiscale simulations. J. Chem. Phys. 139(18), 184109 (2013)","journal-title":"J. Chem. Phys."},{"key":"9258_CR14","unstructured":"Eisenhower, B., Maile, T., Fischer, M., Mezi\u0107, I.: Decomposing building system data for model validation and analysis using the Koopman operator. In: Proceedings of the National IBPSAUSA Conference, New York, USA (2010)"},{"issue":"15","key":"9258_CR15","doi-asserted-by":"crossref","first-page":"155103","DOI":"10.1063\/1.2718529","volume":"126","author":"R Erban","year":"2007","unstructured":"Erban, R., Frewen, T.A., Wang, X., Elston, T.C., Coifman, R., Nadler, B., Kevrekidis, I.G.: Variable-free exploration of stochastic models: a gene regulatory network example. J. Chem. Phys. 126(15), 155103 (2007)","journal-title":"J. Chem. Phys."},{"key":"9258_CR16","doi-asserted-by":"crossref","unstructured":"Froyland, G., Gottwald, G.A., Hammerlindl, A.: A computational method to extract macroscopic variables and their dynamics in multiscale systems. SIAM J. Appl. Dyn. Sys. 13(4), 1816\u20131846 (2014)","DOI":"10.1137\/130943637"},{"issue":"3","key":"9258_CR17","doi-asserted-by":"crossref","first-page":"205","DOI":"10.1016\/j.physd.2004.11.008","volume":"200","author":"G Froyland","year":"2005","unstructured":"Froyland, G.: Statistically optimal almost-invariant sets. Phys. D Nonlinear Phenom. 200(3), 205\u2013219 (2005)","journal-title":"Phys. D Nonlinear Phenom."},{"issue":"22","key":"9258_CR18","doi-asserted-by":"crossref","first-page":"224503","DOI":"10.1103\/PhysRevLett.98.224503","volume":"98","author":"G Froyland","year":"2007","unstructured":"Froyland, G., Padberg, K., England, M.H., Treguier, A.M.: Detection of coherent oceanic structures via transfer operators. Phys. Rev. Lett. 98(22), 224503 (2007)","journal-title":"Phys. Rev. Lett."},{"issue":"16","key":"9258_CR19","doi-asserted-by":"crossref","first-page":"1507","DOI":"10.1016\/j.physd.2009.03.002","volume":"238","author":"G Froyland","year":"2009","unstructured":"Froyland, G., Padberg, K.: Almost-invariant sets and invariant manifolds\u2014connecting probabilistic and geometric descriptions of coherent structures in flows. Phys. D Nonlinear Phenom. 238(16), 1507\u20131523 (2009)","journal-title":"Phys. D Nonlinear Phenom."},{"issue":"1","key":"9258_CR20","doi-asserted-by":"crossref","first-page":"74","DOI":"10.1103\/PhysRevE.51.74","volume":"51","author":"P Gaspard","year":"1995","unstructured":"Gaspard, P., Nicolis, G., Provata, A., Tasaki, S.: Spectral signature of the pitchfork bifurcation: Liouville equation approach. Phys. Rev. E 51(1), 74 (1995)","journal-title":"Phys. Rev. E"},{"issue":"5","key":"9258_CR21","doi-asserted-by":"crossref","first-page":"056232","DOI":"10.1103\/PhysRevE.64.056232","volume":"64","author":"P Gaspard","year":"2001","unstructured":"Gaspard, P., Tasaki, S.: Liouvillian dynamics of the Hopf bifurcation. Phys. Rev. E 64(5), 056232 (2001)","journal-title":"Phys. Rev. E"},{"issue":"6","key":"9258_CR22","doi-asserted-by":"crossref","first-page":"R55","DOI":"10.1088\/0951-7715\/17\/6\/R01","volume":"17","author":"D Givon","year":"2004","unstructured":"Givon, D., Kupferman, R., Stuart, A.: Extracting macroscopic dynamics: model problems and algorithms. Nonlinearity 17(6), R55 (2004)","journal-title":"Nonlinearity"},{"issue":"3","key":"9258_CR23","doi-asserted-by":"crossref","first-page":"503","DOI":"10.1137\/0911028","volume":"11","author":"PC Hansen","year":"1990","unstructured":"Hansen, P.C.: Truncated singular value decomposition solutions to discrete ill-posed problems with ill-determined numerical rank. SIAM J. Sci. Stat. Comput. 11(3), 503\u2013518 (1990)","journal-title":"SIAM J. Sci. Stat. Comput."},{"issue":"3","key":"9258_CR24","doi-asserted-by":"crossref","first-page":"525","DOI":"10.1137\/S0036144500378302","volume":"43","author":"DJ Higham","year":"2001","unstructured":"Higham, D.J.: An algorithmic introduction to numerical simulation of stochastic differential equations. SIAM Rev. 43(3), 525\u2013546 (2001)","journal-title":"SIAM Rev."},{"key":"9258_CR25","unstructured":"Hirsch, C.: Numerical computation of internal and external flows: The fundamentals of computational fluid dynamics vol. 1, Butterworth-Heinemann (2007)"},{"key":"9258_CR26","volume-title":"Turbulence, Coherent Structures, Dynamical Systems and Symmetry","author":"P Holmes","year":"1998","unstructured":"Holmes, P., Lumley, J.L., Berkooz, G.: Turbulence, Coherent Structures, Dynamical Systems and Symmetry. Cambridge University Press, Cambridge (1998)"},{"key":"9258_CR27","doi-asserted-by":"crossref","unstructured":"Jovanovi\u0107, M.R., Schmid, P.J., Nichols, J.W.: Sparsity-promoting dynamic mode decomposition. Phys. Fluids 26, 024103 (2014)","DOI":"10.1063\/1.4863670"},{"key":"9258_CR28","volume-title":"Applied System Identification","author":"J-N Juang","year":"1994","unstructured":"Juang, J.-N.: Applied System Identification. Prentice Hall, Englewood Cliffs (1994)"},{"key":"9258_CR29","volume-title":"Spectral\/Hp Element Methods for Computational Fluid Dynamics","author":"G Karniadakis","year":"2013","unstructured":"Karniadakis, G., Sherwin, S.: Spectral\/Hp Element Methods for Computational Fluid Dynamics. Oxford University Press, Oxford (2013)"},{"key":"9258_CR30","doi-asserted-by":"crossref","unstructured":"Kloeden, P.E., Platen, E.: Numerical solution of stochastic differential equations. Springer, Berlin (1992)","DOI":"10.1007\/978-3-662-12616-5"},{"issue":"5","key":"9258_CR31","doi-asserted-by":"crossref","first-page":"315","DOI":"10.1073\/pnas.17.5.315","volume":"17","author":"BO Koopman","year":"1931","unstructured":"Koopman, B.O.: Hamiltonian systems and transformation in Hilbert space. Proc. Natl. Acad. Sci. U. S. A. 17(5), 315 (1931)","journal-title":"Proc. Natl. Acad. Sci. U. S. A."},{"issue":"3","key":"9258_CR32","doi-asserted-by":"crossref","first-page":"255","DOI":"10.1073\/pnas.18.3.255","volume":"18","author":"BO Koopman","year":"1932","unstructured":"Koopman, B.O., Neumann, J.V.: Dynamical systems of continuous spectra. Proc. Natl. Acad. Sci. U. S. A. 18(3), 255 (1932)","journal-title":"Proc. Natl. Acad. Sci. U. S. A."},{"key":"9258_CR33","doi-asserted-by":"crossref","DOI":"10.1007\/978-0-387-39351-3","volume-title":"Nonlinear Dimensionality Reduction","author":"JA Lee","year":"2007","unstructured":"Lee, J.A., Verleysen, M.: Nonlinear Dimensionality Reduction. Springer, Berlin (2007)"},{"key":"9258_CR34","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898719628","volume-title":"ARPACK users\u2019 guide: Solution of large-scale eigenvalue problems","author":"RB Lehoucq","year":"1998","unstructured":"Lehoucq, R.B., Sorensen, D.C., Yang, C.: ARPACK users\u2019 guide: Solution of large-scale eigenvalue problems. SIAM, Philadelphia (1998)"},{"key":"9258_CR35","volume-title":"Meshfree methods: Moving beyond the finite element method","author":"G-R Liu","year":"2010","unstructured":"Liu, G.-R.: Meshfree methods: Moving beyond the finite element method. CRC Press, Boca Raton (2010)"},{"issue":"2","key":"9258_CR36","doi-asserted-by":"crossref","first-page":"242","DOI":"10.1137\/0140020","volume":"40","author":"B Matkowsky","year":"1981","unstructured":"Matkowsky, B., Schuss, Z.: Eigenvalues of the Fokker-Planck operator and the approach to equilibrium for diffusions in potential fields. SIAM J. Appl. Math. 40(2), 242\u2013254 (1981)","journal-title":"SIAM J. Appl. Math."},{"key":"9258_CR37","doi-asserted-by":"crossref","unstructured":"Mauroy, A., Mezic, I.: A spectral operator-theoretic framework for global stability. In: Decision and Control (CDC), 2013 IEEE 52nd Annual Conference on, pp. 5234\u20135239 (2013)","DOI":"10.1109\/CDC.2013.6760712"},{"key":"9258_CR38","doi-asserted-by":"crossref","first-page":"19","DOI":"10.1016\/j.physd.2013.06.004","volume":"261","author":"A Mauroy","year":"2013","unstructured":"Mauroy, A., Mezi\u0107, I., Moehlis, J.: Isostables, isochrons, and Koopman spectrum for the action-angle representation of stable fixed point dynamics. Phys. D Nonlinear Phenom. 261, 19\u201330 (2013)","journal-title":"Phys. D Nonlinear Phenom."},{"issue":"3","key":"9258_CR39","doi-asserted-by":"crossref","first-page":"033112","DOI":"10.1063\/1.4736859","volume":"22","author":"A Mauroy","year":"2012","unstructured":"Mauroy, A., Mezi\u0107, I.: On the use of Fourier averages to compute the global isochrons of (quasi) periodic dynamics. Chaos Interdiscip. J. Nonlinear Sci. 22(3), 033112 (2012)","journal-title":"Chaos Interdiscip. J. Nonlinear Sci."},{"issue":"1\u20133","key":"9258_CR40","doi-asserted-by":"crossref","first-page":"309","DOI":"10.1007\/s11071-005-2824-x","volume":"41","author":"I Mezi\u0107","year":"2005","unstructured":"Mezi\u0107, I.: Spectral properties of dynamical systems, model reduction and decompositions. Nonlinear Dyn. 41(1\u20133), 309\u2013325 (2005)","journal-title":"Nonlinear Dyn."},{"key":"9258_CR41","doi-asserted-by":"crossref","first-page":"543","DOI":"10.1146\/annurev.aa.30.090192.002551","volume":"30","author":"JJ Monaghan","year":"1992","unstructured":"Monaghan, J.J.: Smoothed particle hydrodynamics. Annu. Rev. Astron. Astrophys. 30, 543\u2013574 (1992)","journal-title":"Annu. Rev. Astron. Astrophys."},{"key":"9258_CR42","doi-asserted-by":"crossref","first-page":"87","DOI":"10.1016\/j.compfluid.2011.12.012","volume":"57","author":"TW Muld","year":"2012","unstructured":"Muld, T.W., Efraimsson, G., Henningson, D.S.: Flow structures around a high-speed train extracted using proper orthogonal decomposition and dynamic mode decomposition. Comput. Fluids 57, 87\u201397 (2012)","journal-title":"Comput. Fluids"},{"key":"9258_CR43","unstructured":"Nadler, B., Lafon, S., Kevrekidis, I.G., Coifman, R.R.: Diffusion maps, spectral clustering and eigenfunctions of Fokker-Planck operators. Adv Neural Inf Process Syst. 18, 955\u2013962 (2005)"},{"issue":"1","key":"9258_CR44","doi-asserted-by":"crossref","first-page":"113","DOI":"10.1016\/j.acha.2005.07.004","volume":"21","author":"B Nadler","year":"2006","unstructured":"Nadler, B., Lafon, S., Coifman, R.R., Kevrekidis, I.G.: Diffusion maps, spectral clustering and reaction coordinates of dynamical systems. Appl. Comput. Harmonic Anal. 21(1), 113\u2013127 (2006)","journal-title":"Appl. Comput. Harmonic Anal."},{"key":"9258_CR45","doi-asserted-by":"crossref","first-page":"115","DOI":"10.1017\/S0022112009992059","volume":"641","author":"CW Rowley","year":"2009","unstructured":"Rowley, C.W., Mezi\u0107, I., Bagheri, S., Schlatter, P., Henningson, D.S.: Spectral analysis of nonlinear flows. J. Fluid Mech. 641, 115\u2013127 (2009)","journal-title":"J. Fluid Mech."},{"issue":"2","key":"9258_CR46","doi-asserted-by":"crossref","first-page":"023126","DOI":"10.1063\/1.2742932","volume":"17","author":"N Santitissadeekorn","year":"2007","unstructured":"Santitissadeekorn, N., Bollt, E.: The infinitesimal operator for the semigroup of the Frobenius-Perron operator from image sequence data: vector fields and transport barriers from movies. Chaos Interdiscip. J. Nonlinear Sci. 17(2), 023126 (2007)","journal-title":"Chaos Interdiscip. J. Nonlinear Sci."},{"issue":"6","key":"9258_CR47","doi-asserted-by":"crossref","first-page":"5","DOI":"10.1017\/S0022112010001217","volume":"65","author":"PJ Schmid","year":"2010","unstructured":"Schmid, P.J.: Dynamic mode decomposition of numerical and experimental data. J. Fluid Mech. 65(6), 5\u201328 (2010)","journal-title":"J. Fluid Mech."},{"issue":"1\u20134","key":"9258_CR48","doi-asserted-by":"crossref","first-page":"249","DOI":"10.1007\/s00162-010-0203-9","volume":"25","author":"P Schmid","year":"2011","unstructured":"Schmid, P., Li, L., Juniper, M., Pust, O.: Applications of the dynamic mode decomposition. Theor. Comput. Fluid Dyn. 25(1\u20134), 249\u2013259 (2011)","journal-title":"Theor. Comput. Fluid Dyn."},{"issue":"6","key":"9258_CR49","doi-asserted-by":"crossref","first-page":"1567","DOI":"10.1007\/s00348-012-1266-8","volume":"52","author":"PJ Schmid","year":"2012","unstructured":"Schmid, P.J., Violato, D., Scarano, F.: Decomposition of time-resolved tomographic PIV. Exp. Fluids 52(6), 1567\u20131579 (2012)","journal-title":"Exp. Fluids"},{"issue":"6","key":"9258_CR50","doi-asserted-by":"crossref","first-page":"1098","DOI":"10.1016\/j.ijheatfluidflow.2011.09.008","volume":"32","author":"A Seena","year":"2011","unstructured":"Seena, A., Sung, H.J.: Dynamic mode decomposition of turbulent cavity flows for self-sustained oscillations. Int. J. Heat Fluid Flow 32(6), 1098\u20131110 (2011)","journal-title":"Int. J. Heat Fluid Flow"},{"issue":"2","key":"9258_CR51","doi-asserted-by":"crossref","first-page":"568","DOI":"10.1016\/j.jcp.2005.01.024","volume":"207","author":"S Sirisup","year":"2005","unstructured":"Sirisup, S., Karniadakis, G.E., Xiu, D., Kevrekidis, I.G.: Equation-free\/Galerkin-free POD-assisted computation of incompressible flows. J. Comput. Phys. 207(2), 568\u2013587 (2005)","journal-title":"J. Comput. Phys."},{"key":"9258_CR52","volume-title":"Optimal Control and Estimation","author":"RF Stengel","year":"2012","unstructured":"Stengel, R.F.: Optimal Control and Estimation. Courier Dover Publications, New York (2012)"},{"key":"9258_CR53","doi-asserted-by":"crossref","unstructured":"Susuki, Y., Mezic, I.: Nonlinear Koopman modes and power system stability assessment without models. IEEE Trans. Power Syst. 29(2), 899\u2013907 (2014)","DOI":"10.1109\/TPWRS.2013.2287235"},{"issue":"4","key":"9258_CR54","doi-asserted-by":"crossref","first-page":"1894","DOI":"10.1109\/TPWRS.2010.2103369","volume":"26","author":"Y Susuki","year":"2011","unstructured":"Susuki, Y., Mezi\u0107, I.: Nonlinear Koopman modes and coherency identification of coupled swing dynamics. IEEE Trans. Power Syst. 26(4), 1894\u20131904 (2011)","journal-title":"IEEE Trans. Power Syst."},{"issue":"3","key":"9258_CR55","doi-asserted-by":"crossref","first-page":"1182","DOI":"10.1109\/TPWRS.2012.2183625","volume":"27","author":"Y Susuki","year":"2012","unstructured":"Susuki, Y., Mezi\u0107, I.: Nonlinear Koopman modes and a precursor to power system swing instabilities. Power Syst. IEEE Trans. 27(3), 1182\u20131191 (2012)","journal-title":"Power Syst. IEEE Trans."},{"key":"9258_CR56","doi-asserted-by":"crossref","unstructured":"Todorov, E.: Optimal control theory. In: Bayesian brain: Probabilistic approaches to neural coding, Kenji Doya (Editor), pp. 269\u2013298. MIT Press, Cambridge (2007)","DOI":"10.7551\/mitpress\/9780262042383.003.0012"},{"key":"9258_CR57","doi-asserted-by":"crossref","DOI":"10.1137\/1.9780898719598","volume-title":"Spectral Methods in MATLAB","author":"LN Trefethen","year":"2000","unstructured":"Trefethen, L.N.: Spectral Methods in MATLAB, vol. 10. SIAM, Philadelphia (2000)"},{"key":"9258_CR58","doi-asserted-by":"crossref","unstructured":"Tu, J.H., Rowley, C.W., Luchtenburg, D.M., Brunton, S.L., Kutz, J.N.: On dynamic mode decomposition: Theory and applications. J Comput Dyn. 1(2), 391\u2013421 (2014)","DOI":"10.3934\/jcd.2014.1.391"},{"issue":"228","key":"9258_CR59","doi-asserted-by":"crossref","first-page":"1521","DOI":"10.1090\/S0025-5718-99-01102-3","volume":"68","author":"H Wendland","year":"1999","unstructured":"Wendland, H.: Meshless Galerkin methods using radial basis functions. Math. Comput. Am. Math. Soc. 68(228), 1521\u20131531 (1999)","journal-title":"Math. Comput. Am. Math. Soc."},{"key":"9258_CR60","doi-asserted-by":"crossref","first-page":"473","DOI":"10.1017\/jfm.2013.426","volume":"733","author":"A Wynn","year":"2013","unstructured":"Wynn, A., Pearson, D., Ganapathisubramani, B., Goulart, P.: Optimal mode decomposition for unsteady flows. J. Fluid Mech. 733, 473\u2013503 (2013)","journal-title":"J. Fluid Mech."}],"container-title":["Journal of Nonlinear Science"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00332-015-9258-5.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00332-015-9258-5\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00332-015-9258-5","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,8,26]],"date-time":"2019-08-26T00:06:40Z","timestamp":1566778000000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00332-015-9258-5"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015,6,5]]},"references-count":60,"journal-issue":{"issue":"6","published-print":{"date-parts":[[2015,12]]}},"alternative-id":["9258"],"URL":"https:\/\/doi.org\/10.1007\/s00332-015-9258-5","relation":{},"ISSN":["0938-8974","1432-1467"],"issn-type":[{"value":"0938-8974","type":"print"},{"value":"1432-1467","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015,6,5]]}}}