{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,13]],"date-time":"2025-07-13T03:40:08Z","timestamp":1752378008863,"version":"3.41.2"},"reference-count":18,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2003,1,1]],"date-time":"2003-01-01T00:00:00Z","timestamp":1041379200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2003,1,1]],"date-time":"2003-01-01T00:00:00Z","timestamp":1041379200000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computational Optimization and Applications"],"published-print":{"date-parts":[[2003,1]]},"DOI":"10.1023\/a:1021858217693","type":"journal-article","created":{"date-parts":[[2003,3,21]],"date-time":"2003-03-21T18:56:02Z","timestamp":1048272962000},"page":"117-133","source":"Crossref","is-referenced-by-count":1,"title":["Exploiting Intermediate Sparsity in Computing Derivatives for a Leapfrog Scheme"],"prefix":"10.1007","volume":"24","author":[{"given":"Christian H.","family":"Bischof","sequence":"first","affiliation":[]},{"given":"H. Martin","family":"B\u00fccker","sequence":"additional","affiliation":[]},{"given":"Po-Ting","family":"Wu","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"issue":"2","key":"5110708_CR1","doi-asserted-by":"crossref","first-page":"285","DOI":"10.1137\/0915020","volume":"15","author":"B. Averick","year":"1994","unstructured":"B. Averick, J. Mor\u00e9, C. Bischof, A. Carle, and A. Griewank, \u201cComputing large sparse Jacobian matrices using automatic differentiation,\u201d SIAM Journal on Scientific Computing, vol. 15, no. 2, pp. 285\u2013294, 1994.","journal-title":"SIAM Journal on Scientific Computing"},{"key":"5110708_CR2","unstructured":"M. Berz, C. Bischof, G. Corliss, and A. Griewank, Computational Differentiation: Techniques, Applications, and Tools, SIAM: Philadelphia, 1996."},{"issue":"2","key":"5110708_CR3","doi-asserted-by":"crossref","first-page":"185","DOI":"10.1287\/ijoc.9.2.185","volume":"9","author":"C. Bischof","year":"1997","unstructured":"C. Bischof, A. Bouaricha, P. Khademi, and J. Mor\u00e9, \u201cComputing gradients in large-scale optimization using automatic differentiation,\u201d INFORMS Journal on Computing, vol. 9, no. 2, pp. 185\u2013194, 1997.","journal-title":"INFORMS Journal on Computing"},{"issue":"1","key":"5110708_CR4","doi-asserted-by":"crossref","first-page":"11","DOI":"10.1155\/1992\/717832","volume":"1","author":"C. Bischof","year":"1992","unstructured":"C. Bischof, A. Carle, G. Corliss, A. Griewank, and P. Hovland, \u201cADIFOR: Generating derivative codes from Fortran programs,\u201d Scientific Programming, vol. 1, no. 1, pp. 11\u201329, 1992.","journal-title":"Scientific Programming"},{"issue":"3","key":"5110708_CR5","doi-asserted-by":"crossref","first-page":"18","DOI":"10.1109\/99.537089","volume":"3","author":"C. Bischof","year":"1996","unstructured":"C. Bischof, A. Carle, P. Khademi, and A. Mauer, \u201cADIFOR 2.0: Automatic differentiation of Fortran 77 programs,\u201d IEEE Computational Science & Engineering, vol. 3, no. 3, pp. 18\u201332, 1996.","journal-title":"IEEE Computational Science & Engineering"},{"key":"5110708_CR6","doi-asserted-by":"crossref","unstructured":"C. Bischof, A. Carle, P. Khademi, A. Mauer, and P. Hovland, \u201cADIFOR 2.0 user's guide (revision C),\u201d Technical Memorandum ANL\/MCS-TM-192, Mathematics and Computer Science Division, Argonne National Laboratory, 1995 (also CRPC Technical Report CRPC-95516-S).","DOI":"10.2172\/93483"},{"issue":"1","key":"5110708_CR7","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1080\/10556789608805642","volume":"7","author":"C. Bischof","year":"1996","unstructured":"C. Bischof, P. Khademi, A. Bouaricha, and A. Carle, \u201cEfficient computation of gradients and Jacobians by transparent exploitation of sparsity in automatic differentiation,\u201d Optimization Methods and Software, vol. 7, no. 1, pp. 1\u201339, 1996.","journal-title":"Optimization Methods and Software"},{"issue":"12","key":"5110708_CR8","first-page":"1427","volume":"27","author":"C. Bischof","year":"1997","unstructured":"C. Bischof, L. Roh, and A. Mauer, \u201cADIC-An extensible automatic differentiation tool for ANSI-C,\u201d Software: Practice and Experience, vol. 27, no. 12, pp. 1427\u20131456, 1997.","journal-title":"Software: Practice and Experience"},{"key":"5110708_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-1-4613-0075-5","volume-title":"Automatic Differentiation of Algorithms: From Simulation to Optimization","author":"G. Corliss","year":"2002","unstructured":"G. Corliss, C. Faure, A. Griewank, L. Hasco\u00ebt, and U. Naumann, Automatic Differentiation of Algorithms: From Simulation to Optimization, Springer: New York, 2002."},{"key":"5110708_CR10","unstructured":"U. Geitner, J. Utke, and A. Griewank, \u201cAutomatic computation of sparse Jacobians by applying the method of Newsam and Ramsdell,\u201d in Computational Differentiation: Techniques, Applications, and Tools, M. Berz, C. Bischof, G. Corliss, and A. Griewank (Eds.), SIAM, Philadelphia, 1996, pp. 161\u2013172."},{"key":"5110708_CR11","doi-asserted-by":"crossref","DOI":"10.1137\/1.9781611970937","volume-title":"Iterative Methods for Solving Linear Systems","author":"A. Greenbaum","year":"1997","unstructured":"A. Greenbaum, Iterative Methods for Solving Linear Systems. SIAM: Philadelphia, PA, 1997."},{"key":"5110708_CR12","volume-title":"Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation","author":"A. Griewank","year":"2000","unstructured":"A. Griewank, Evaluating Derivatives: Principles and Techniques of Algorithmic Differentiation. SIAM: Philadelphia, 2000."},{"key":"5110708_CR13","volume-title":"Automatic Differentiation of Algorithms","author":"A. Griewank","year":"1991","unstructured":"A. Griewank and G. Corliss, Automatic Differentiation of Algorithms. SIAM: Philadelphia, 1991."},{"key":"5110708_CR14","volume-title":"Fundamentals of Computational Fluid Dynamics","author":"P. Roache","year":"1998","unstructured":"P. Roache, Fundamentals of Computational Fluid Dynamics. Hermosa Publishers: Albuquerque, NM, 1998."},{"key":"5110708_CR15","volume-title":"Iterative Methods for Sparse Linear Systems","author":"Y. Saad","year":"1996","unstructured":"Y. Saad, Iterative Methods for Sparse Linear Systems. PWS Publishing Company: Boston, 1996."},{"key":"5110708_CR16","volume-title":"Computational Fluid Dynamics and Heat Transfer","author":"J.C. Tannehill","year":"1997","unstructured":"J.C. Tannehill, D.A. Anderson, and R.H. Pletcher, Computational Fluid Dynamics and Heat Transfer. 2nd edn., Taylor & Francis: Washington, DC, 1997.","edition":"2nd edn."},{"key":"5110708_CR17","unstructured":"Z. Wang, \u201cVariational data assimilation with 2-D shallow water equations and 3-D FSU global spectral models,\u201d Technical Report FSU-SCRI-93T-149, Florida State University, Department of Mathematics, 1993."},{"key":"5110708_CR18","doi-asserted-by":"crossref","first-page":"241","DOI":"10.1007\/BF01300873","volume":"4","author":"Z. Wang","year":"1995","unstructured":"Z. Wang, I.M. Navon, X. Zou, and F. LeDimet, \u201cA truncated Newton optimization algorithm in meteorology applications with analytic Hessian\/vector products,\u201d Computational Optimization and Applications, vol. 4, pp. 241\u2013262, 1995.","journal-title":"Computational Optimization and Applications"}],"container-title":["Computational Optimization and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1021858217693.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1023\/A:1021858217693\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1023\/A:1021858217693.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2025,7,13]],"date-time":"2025-07-13T03:24:05Z","timestamp":1752377045000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1023\/A:1021858217693"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2003,1]]},"references-count":18,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2003,1]]}},"alternative-id":["5110708"],"URL":"https:\/\/doi.org\/10.1023\/a:1021858217693","relation":{},"ISSN":["0926-6003","1573-2894"],"issn-type":[{"type":"print","value":"0926-6003"},{"type":"electronic","value":"1573-2894"}],"subject":[],"published":{"date-parts":[[2003,1]]}}}