{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,7]],"date-time":"2024-09-07T21:41:43Z","timestamp":1725745303998},"publisher-location":"Cham","reference-count":10,"publisher":"Springer International Publishing","isbn-type":[{"type":"print","value":"9783319022963"},{"type":"electronic","value":"9783319022970"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2013]]},"DOI":"10.1007\/978-3-319-02297-0_10","type":"book-chapter","created":{"date-parts":[[2013,8,14]],"date-time":"2013-08-14T11:37:38Z","timestamp":1376480258000},"page":"130-135","source":"Crossref","is-referenced-by-count":0,"title":["From the Product Example to PDE Adjoints, Algorithmic Differentiation and Its Application (Invited Talk)"],"prefix":"10.1007","author":[{"given":"Andreas","family":"Griewank","sequence":"first","affiliation":[]}],"member":"297","reference":[{"key":"10_CR1","series-title":"International Series of Numerical Mathematics","doi-asserted-by":"publisher","first-page":"99","DOI":"10.1007\/978-3-0348-0133-1_6","volume-title":"Constrained optimization and optimal control for partial differential equations","author":"N. Gauger","year":"2012","unstructured":"Gauger, N., et al.: In: Leugering, G., Engell, S., Griewank, A., Hinze, M., Rannacher, R., Schulz, V., Ulbrich, M., Ulbrich, S. (eds.) Constrained optimization and optimal control for partial differential equations. International Series of Numerical Mathematics, pp. 99\u2013122. Springer, Heidelberg (2012)"},{"key":"10_CR2","doi-asserted-by":"publisher","first-page":"313","DOI":"10.1006\/jcph.1996.0096","volume":"125","author":"L.L. Green","year":"1996","unstructured":"Green, L.L., Newman, P.A., Haigler, K.J.: Sensitivity derivatives for advanced CFD algorithm and viscous modeling parameters via automatic differentiation. J. Comp. Physics\u00a0125, 313\u2013325 (1996)","journal-title":"J. Comp. Physics"},{"key":"10_CR3","unstructured":"Gress, O.O.: Rsic peripheral shielding routine collection. Technical report, Oak Ridge National Laboratory, Oak Ridge National Labority, Oak Ridge, Tennessee (February 1989)"},{"key":"10_CR4","doi-asserted-by":"crossref","first-page":"389","DOI":"10.4171\/dms\/6\/38","volume-title":"Optimization Stories","author":"A. Griewank","year":"2012","unstructured":"Griewank, A.: Who invented the reverse mode of differentiation. In: Gr\u00f6tschel, M. (ed.) Optimization Stories, pp. 389\u2013400. Deutsche Mathematikervereinigung, Bielefeld (2012)"},{"key":"10_CR5","unstructured":"Griewank, A., Walther, A.: Principles and Techniques of Algorithmic Differentiation, 2nd edn. SIAM (2008)"},{"issue":"4-5","key":"10_CR6","doi-asserted-by":"publisher","first-page":"687","DOI":"10.1080\/10556780802614051","volume":"24","author":"R.B. Kearfott","year":"2009","unstructured":"Kearfott, R.B.: GlobSol user guide. Optimization Methods and Software\u00a024(4-5), 687\u2013708 (2009)","journal-title":"Optimization Methods and Software"},{"key":"10_CR7","unstructured":"Kaltofen, E., Singer, M.F.: Size efficient parallel algebraic circuits for partial derivatives. In: Shirkov, D.V., Rostovtsev, V.A., Gerdt, V.P. (eds.) IV International Conference on Computer Algebra in Physical Research, pp. 133\u2013145. World Scientific Publ. (1991)"},{"key":"10_CR8","doi-asserted-by":"crossref","unstructured":"Miller, W., Wrathall, C.: Software for Roundoff Analysis of Matrix Algorithms. Academic Press (1980)","DOI":"10.1016\/B978-0-12-497250-6.50007-8"},{"issue":"1","key":"10_CR9","doi-asserted-by":"publisher","first-page":"121","DOI":"10.1007\/s10543-006-0106-8","volume":"47","author":"N.S. Nedialkov","year":"2007","unstructured":"Nedialkov, N.S., Pryce, J.D.: Solving differential-algebraic equations by Taylor series\u00a0(I): Computing the system jacobian. BIT\u00a047(1), 121\u2013135 (2007)","journal-title":"BIT"},{"key":"10_CR10","unstructured":"Phipps, E.T.: Taylor Series Integration of Differential-Algebraic Equations: Automatic Differentiation as a Tool for Simulating Rigid Body Mechanical Systems. PhD thesis, Cornell University (2003)"}],"container-title":["Lecture Notes in Computer Science","Computer Algebra in Scientific Computing"],"original-title":[],"link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-02297-0_10","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,7,3]],"date-time":"2023-07-03T21:19:55Z","timestamp":1688419195000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/978-3-319-02297-0_10"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9783319022963","9783319022970"],"references-count":10,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-02297-0_10","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"type":"print","value":"0302-9743"},{"type":"electronic","value":"1611-3349"}],"subject":[],"published":{"date-parts":[[2013]]}}}