{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,5]],"date-time":"2024-09-05T21:54:03Z","timestamp":1725573243343},"publisher-location":"Berlin, Heidelberg","reference-count":15,"publisher":"Springer Berlin Heidelberg","isbn-type":[{"type":"print","value":"9783540319948"},{"type":"electronic","value":"9783540319955"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2006]]},"DOI":"10.1007\/11666806_38","type":"book-chapter","created":{"date-parts":[[2006,2,15]],"date-time":"2006-02-15T03:09:49Z","timestamp":1139972989000},"page":"339-346","source":"Crossref","is-referenced-by-count":0,"title":["Adjoint Computations in Data Assimilation Problems Using a 4-Stage Rosenbrock Method"],"prefix":"10.1007","author":[{"given":"Gabriel","family":"Dimitriu","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","reference":[{"key":"38_CR1","first-page":"39","volume":"105","author":"J. Bartholy","year":"2001","unstructured":"Bartholy, J., Farag\u00f3, I., Havasi, \u00c1.: Splitting Method and its Application in Air Pollution Modeling. Id\u00f6j\u00e1r\u00e1s\u00a0105, 39\u201358 (2001)","journal-title":"Id\u00f6j\u00e1r\u00e1s"},{"key":"38_CR2","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"295","DOI":"10.1007\/978-3-540-24588-9_33","volume-title":"Large-Scale Scientific Computing","author":"M. Botchev","year":"2004","unstructured":"Botchev, M., Farag\u00f3, I., Havasi, \u00c1.: Testing Weighted Splitting Schemes on a One-Column Transport-Chemstry Model. In: Lirkov, I., Margenov, S., Wa\u015bniewski, J., Yalamov, P. (eds.) LSSC 2003. LNCS, vol.\u00a02907, pp. 295\u2013302. Springer, Heidelberg (2004)"},{"issue":"2","key":"38_CR3","doi-asserted-by":"publisher","first-page":"496","DOI":"10.1006\/jcph.2000.6622","volume":"165","author":"D. Daescu","year":"2000","unstructured":"Daescu, D., Carmichael, G.R., Sandu, A.: Adjoint Implementation of Rosenbrock Methods Applied to Variational Data Assimilation Problems. J. Comput. Phys.\u00a0165(2), 496\u2013510 (2000)","journal-title":"J. Comput. Phys."},{"key":"38_CR4","unstructured":"Damian-Iordache, V., Sandu, A.: KPP - A symbolic preprocessor for chemistry kinetics - User\u2019s guide. Tech. Rep., Univ. of Iowa, Department of Mathematics (1995)"},{"key":"38_CR5","unstructured":"Dimitriu, G.: Parameter identification for some classes of nonlinear systems. PhD thesis (1999) (in Romanian)"},{"key":"38_CR6","first-page":"127","volume":"44","author":"I. Dimov","year":"2001","unstructured":"Dimov, I., Farag\u00f3, I., Havasi, \u00c1., Zlatev, Z.: L-commutativity of the operators in splitting methods for air pollution models. Annales Univ. Sci. Sec. Math.\u00a044, 127\u2013148 (2001)","journal-title":"Annales Univ. Sci. Sec. Math."},{"key":"38_CR7","doi-asserted-by":"crossref","unstructured":"Giering, R., Kaminski, T.: Recipes for Adjoint Code Construction. ACM Trans. Math. Software (1998)","DOI":"10.1145\/293686.293695"},{"key":"38_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-05221-7","volume-title":"Solving Ordinary Differential Equations I. Nonstiff Problems","author":"E. Hairer","year":"1996","unstructured":"Hairer, E., Norsett, S.P., Wanner, G.: Solving Ordinary Differential Equations I. Nonstiff Problems. Springer, Heidelberg (1996)"},{"key":"38_CR9","volume-title":"Stiff and Differential-Algebraic Problems","author":"E. Hairer","year":"1996","unstructured":"Hairer, E., Wanner, G.: Solving Ordinary Differential Equations II. In: Stiff and Differential-Algebraic Problems. Springer, Heidelberg (1996)"},{"issue":"4","key":"38_CR10","doi-asserted-by":"publisher","first-page":"731","DOI":"10.1023\/A:1021900219772","volume":"41","author":"J. Lang","year":"2001","unstructured":"Lang, J., Verwer, J.: ROS3P \u2013 An accurate third-order Rosenbrock solver designed for parabolic problems. BIT\u00a041(4), 731\u2013738 (2001)","journal-title":"BIT"},{"key":"38_CR11","volume-title":"Adjoint Equations and Perturbation Algorithms in Nonlinear Problems","author":"G.I. Marchuk","year":"1996","unstructured":"Marchuk, G.I., Agoshkov, I.V., Shutyaev, P.V.: Adjoint Equations and Perturbation Algorithms in Nonlinear Problems. CRC Press, Boca Raton (1996)"},{"key":"38_CR12","series-title":"Lecture Notes in Computer Science","doi-asserted-by":"publisher","first-page":"545","DOI":"10.1007\/3-540-36487-0_62","volume-title":"Numerical Methods and Applications","author":"T. Ostromsky","year":"2003","unstructured":"Ostromsky, T., Zlatev, Z.: Flexible Two-Level Parallel Implementation of a Large Air Pollution Model. In: Dimov, I.T., Lirkov, I., Margenov, S., Zlatev, Z. (eds.) NMA 2002. LNCS, vol.\u00a02542, pp. 545\u2013554. Springer, Heidelberg (2003)"},{"key":"38_CR13","doi-asserted-by":"publisher","first-page":"3459","DOI":"10.1016\/S1352-2310(97)83212-8","volume":"31","author":"A. Sandu","year":"1997","unstructured":"Sandu, A., Verwer, J.G., Blom, J.G., Spee, E.J., Carmichael, G.R.: Benchmarking stiff ODE solvers for atmospheric chemistry problems II: Rosenbrock solvers. Atmos. Environ.\u00a031, 3459\u20133472 (1997)","journal-title":"Atmos. Environ."},{"key":"38_CR14","doi-asserted-by":"publisher","first-page":"506","DOI":"10.1137\/0705041","volume":"5","author":"G. Strang","year":"1968","unstructured":"Strang, G.: On the construction and comparison of difference schemes. SIAM Journal on Numerical Analysis\u00a05, 506\u2013517 (1968)","journal-title":"SIAM Journal on Numerical Analysis"},{"issue":"576","key":"38_CR15","doi-asserted-by":"publisher","first-page":"2181","DOI":"10.1002\/qj.49712757616","volume":"127","author":"K.Y. Wang","year":"2001","unstructured":"Wang, K.Y., Lary, D.J., Shallcross, D.E., Hall, S.M., Pyle, J.A.: A review on the use of the adjoint method in four-dimensional atmospheric-chemistry data assimilation. Q.J.R. Meteorol. Soc.\u00a0127(576), Part B, 2181\u20132204 (2001)","journal-title":"Q.J.R. Meteorol. Soc."}],"container-title":["Lecture Notes in Computer Science","Large-Scale Scientific Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/11666806_38.pdf","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2021,4,27]],"date-time":"2021-04-27T07:13:15Z","timestamp":1619507595000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/11666806_38"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2006]]},"ISBN":["9783540319948","9783540319955"],"references-count":15,"URL":"https:\/\/doi.org\/10.1007\/11666806_38","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2006]]}}}