{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,25]],"date-time":"2025-03-25T14:26:19Z","timestamp":1742912779189,"version":"3.40.3"},"publisher-location":"Cham","reference-count":8,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319107042"},{"type":"electronic","value":"9783319107059"}],"license":[{"start":{"date-parts":[[2014,10,31]],"date-time":"2014-10-31T00:00:00Z","timestamp":1414713600000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2014,10,31]],"date-time":"2014-10-31T00:00:00Z","timestamp":1414713600000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-3-319-10705-9_40","type":"book-chapter","created":{"date-parts":[[2014,12,2]],"date-time":"2014-12-02T14:51:54Z","timestamp":1417531914000},"page":"409-417","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":1,"title":["Reduced Order Optimal Control Using Proper Orthogonal Decomposition Sensitivities"],"prefix":"10.1007","author":[{"given":"Tu\u011fba","family":"Akman","sequence":"first","affiliation":[]},{"given":"B\u00fclent","family":"Karas\u00f6zen","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2014,10,31]]},"reference":[{"issue":"3","key":"40_CR1","doi-asserted-by":"publisher","first-page":"703","DOI":"10.1007\/s10589-013-9601-4","volume":"57","author":"T. Akman","year":"2014","unstructured":"T. Akman, H. Y\u00fccel, B. Karas\u00f6zen, A priori error analysis of the upwind symmetric interior penalty galerkin (SIPG) method for the optimal control problems governed by unsteady convection diffusion equations. Comput. Optim. Appl. 57(3), 703\u2013729 (2014)","journal-title":"Comput. Optim. Appl."},{"key":"40_CR2","doi-asserted-by":"crossref","unstructured":"D.N. Arnold, F. Brezzi, B. Cockburn, L.D. Marini, Unified analysis of discontinuous Galerkin methods for elliptic problems. SIAM J. Numer. Anal. 39(5), 1749\u20131779 (2001\/2002)","DOI":"10.1137\/S0036142901384162"},{"key":"40_CR3","doi-asserted-by":"publisher","first-page":"41","DOI":"10.1017\/S0022112009006363","volume":"629","author":"A. Hay","year":"2009","unstructured":"A. Hay, J.T. Borggaard, D. Pelletier, Local improvements to reduced-order models using sensitivity analysis of the proper orthogonal decomposition. J. Fluid Mech. 629, 41\u201372 (2009)","journal-title":"J. Fluid Mech."},{"key":"40_CR4","doi-asserted-by":"crossref","unstructured":"M. Hinze, S. Volkwein, Proper orthogonal decomposition surrogate models for nonlinear dynamical systems: error estimates and suboptimal control, in Dimension Reduction of Large-Scale Systems, ed. by P. Benner, V. Mehrmann, D.C. Sorensen. Lecture Notes in Computational Science and Engineering, vol. 45 (Springer, Berlin, 2005), pp. 261\u2013306","DOI":"10.1007\/3-540-27909-1_10"},{"issue":"3","key":"40_CR5","doi-asserted-by":"publisher","first-page":"319","DOI":"10.1007\/s10589-007-9058-4","volume":"39","author":"M. Hinze","year":"2008","unstructured":"M. Hinze, S. Volkwein, Error estimates for abstract linear-quadratic optimal control problems using proper orthogonal decomposition. Comput. Optim. Appl. 39(3), 319\u2013345 (2008)","journal-title":"Comput. Optim. Appl."},{"key":"40_CR6","doi-asserted-by":"crossref","unstructured":"A. Quarteroni, G. Rozza, A. Manzoni, Certified reduced basis approximation for parametrized partial differential equations and applications. J. Math. Ind. 1, Art. 3, 44 (2011)","DOI":"10.1186\/2190-5983-1-3"},{"key":"40_CR7","unstructured":"V. Thom\u00e9e, Galerkin Finite Element Methods for Parabolic Problems. Springer Series in Computational Mathematics, vol. 25, 2nd edn. (Springer, Berlin, 2006)"},{"key":"40_CR8","doi-asserted-by":"crossref","unstructured":"F. Tr\u00f6ltzsch, Optimal Control of Partial Differential Equations: Theory, Methods and Applications. Graduate Studies in Mathematics, vol. 112 (American Mathematical Society, Providence, 2010)","DOI":"10.1090\/gsm\/112\/07"}],"container-title":["Lecture Notes in Computational Science and Engineering","Numerical Mathematics and Advanced Applications - ENUMATH 2013"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-10705-9_40","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,10]],"date-time":"2023-02-10T04:08:31Z","timestamp":1676002111000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-10705-9_40"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2014,10,31]]},"ISBN":["9783319107042","9783319107059"],"references-count":8,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-10705-9_40","relation":{},"ISSN":["1439-7358","2197-7100"],"issn-type":[{"type":"print","value":"1439-7358"},{"type":"electronic","value":"2197-7100"}],"subject":[],"published":{"date-parts":[[2014,10,31]]},"assertion":[{"value":"31 October 2014","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}