{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,15]],"date-time":"2026-01-15T14:57:25Z","timestamp":1768489045565,"version":"3.49.0"},"reference-count":17,"publisher":"Springer Science and Business Media LLC","issue":"3-4","license":[{"start":{"date-parts":[[1993,9,1]],"date-time":"1993-09-01T00:00:00Z","timestamp":746841600000},"content-version":"tdm","delay-in-days":0,"URL":"http:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["Computing"],"published-print":{"date-parts":[[1993,9]]},"DOI":"10.1007\/bf02238534","type":"journal-article","created":{"date-parts":[[2005,11,14]],"date-time":"2005-11-14T17:32:11Z","timestamp":1131989531000},"page":"209-236","source":"Crossref","is-referenced-by-count":40,"title":["A parallel shooting technique for solving dissipative ODE's","Eine parallele \u201cshooting\u201d Technik zur L\u00f6sung dissipativer gew\u00f6hnlicher Differentialgleichungen"],"prefix":"10.1007","volume":"51","author":[{"given":"P.","family":"Chartier","sequence":"first","affiliation":[]},{"given":"B.","family":"Philippe","sequence":"additional","affiliation":[]}],"member":"297","reference":[{"key":"BF02238534_CR1","doi-asserted-by":"crossref","first-page":"277","DOI":"10.1016\/0377-0427(90)90170-5","volume":"31","author":"A. Bellen","year":"1990","unstructured":"Bellen, A., Vermiglio, R., Zennaro, M.: Parallel ODE-solvers with step-size control. J. Comp. Appl. Math.31, 277\u2013293 (1990).","journal-title":"J. Comp. Appl. Math."},{"key":"BF02238534_CR2","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1016\/0377-0427(89)90037-X","volume":"25","author":"A. Bellen","year":"1989","unstructured":"Bellen, A., Zennaro, M.: Parallel algorithms for initial value problems. J. Comp. Appl. Math.25, 341\u2013350 (1989).","journal-title":"J. Comp. Appl. Math."},{"key":"BF02238534_CR3","doi-asserted-by":"crossref","first-page":"299","DOI":"10.1109\/TC.1987.1676902","volume":"36","author":"L. Birta","year":"1987","unstructured":"Birta, L., Abou-Rabia, O.: Parallel block predictor-corrector methods for ODE's. IEEE Transactions on ComputersC-36, 299\u2013311 (1987).","journal-title":"IEEE Transactions on Computers C"},{"key":"BF02238534_CR4","series-title":"Research Report 593","volume-title":"Application of Bellen's method to ODE's with dissipative right-hand side","author":"P. Chartier","year":"1991","unstructured":"Chartier, P.: Application of Bellen's method to ODE's with dissipative right-hand side. Research Report 593, IRISA, Campus de Beaulieu, Rennes, France, 1991."},{"key":"BF02238534_CR5","doi-asserted-by":"crossref","unstructured":"Chartier, P.: L-stable parallel one-block methods for ordinary differential equations. SIAM J. Numer. Anal. (1993) (to appear).","DOI":"10.1137\/0731030"},{"key":"BF02238534_CR6","doi-asserted-by":"crossref","first-page":"413","DOI":"10.1109\/TC.1978.1675121","volume":"27","author":"M. Franklin","year":"1978","unstructured":"Franklin, M.: Parallel solution of ordinary differential equations. IEEE Transactions on ComputersC-27, 413\u2013420 (1978).","journal-title":"IEEE Transactions on Computers C"},{"key":"BF02238534_CR7","series-title":"Research R-87-1369","volume-title":"Parallel methods for ordinary differential equations","author":"C. Gear","year":"1986","unstructured":"Gear, C.: Parallel methods for ordinary differential equations. Research R-87-1369, University of Illinois, Urbana, IL, 1986."},{"key":"BF02238534_CR8","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-12607-3","volume-title":"Solving ordinary differential equations. I. Nonstiff problems, vol. 1","author":"E. Hairer","year":"1987","unstructured":"Hairer, E., Norsett, S., Wanner, G.: Solving ordinary differential equations. I. Nonstiff problems, vol. 1. Berlin, Heidelberg: Springer 1987."},{"key":"BF02238534_CR9","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-09947-6","volume-title":"Solving ordinary differential equations. II. Stiff and differential-algebraic problems, vol. 2","author":"E. Hairer","year":"1991","unstructured":"Hairer, E., Wanner, G.: Solving ordinary differential equations. II. Stiff and differential-algebraic problems, vol. 2. Berlin, Heidelberg, New York, Tokyo: Springer 1991."},{"key":"BF02238534_CR10","doi-asserted-by":"crossref","first-page":"10","DOI":"10.1145\/1218052.1218054","volume":"15","author":"A. Hindmarsh","year":"1980","unstructured":"Hindmarsh, A.: LSODE and LSODI, two new initial value ordinary equation solvers. ACM\/SIGNUM Newsletter15, 10\u201311 (1980).","journal-title":"ACM\/SIGNUM Newsletter"},{"key":"BF02238534_CR11","doi-asserted-by":"crossref","first-page":"267","DOI":"10.1016\/0022-5193(71)90054-3","volume":"30","author":"R. Lefever","year":"1971","unstructured":"Lefever, R., Nicolis, G.: Chemical instabilities and sustained oscillations. J. Theor. Biol.30, 267\u2013284 (1971).","journal-title":"J. Theor. Biol."},{"key":"BF02238534_CR12","volume-title":"Iterative solution of nonlinear equations in several variables","author":"J. Ortega","year":"1970","unstructured":"Ortega, J., Rheinbolt, W.: Iterative solution of nonlinear equations in several variables. New York, San Francisco, London: Academic Press, 1970."},{"key":"BF02238534_CR13","doi-asserted-by":"crossref","first-page":"145","DOI":"10.1090\/S0025-5718-1974-0331793-2","volume":"28","author":"A. Prothero","year":"1974","unstructured":"Prothero, A., Robinson, A.: On the stability and accuracy of one-step methods for solving stiff systems of ordinary differential equations. Math. Comput.28, 145\u2013162 (1974).","journal-title":"Math. Comput."},{"key":"BF02238534_CR14","doi-asserted-by":"crossref","first-page":"252","DOI":"10.1007\/BF01932819","volume":"12","author":"L. Shampine","year":"1972","unstructured":"Shampine, L., Watts, H.: A-stable implicit one-step methods. BIT12, 252\u2013266 (1972).","journal-title":"BIT"},{"key":"BF02238534_CR15","volume-title":"A-stable parallel block methods for ordinary and integro-differential equations","author":"B. Sommeijer","year":"1992","unstructured":"Sommeijer, B., Couzy, W., Houwen, P. van der: A-stable parallel block methods for ordinary and integro-differential equations. PhD thesis, Universiteit van Amsterdam, CWI, Amsterdam, 1992."},{"key":"BF02238534_CR16","doi-asserted-by":"crossref","first-page":"1000","DOI":"10.1137\/0912054","volume":"12","author":"P. Houwen van der","year":"1991","unstructured":"Houwen, P. van der, Sommeijer, B.: Iterated Runge-Kutta methods on parallel computers. SIAM J. Sci. Statist. Comput.12, 1000\u20131028 (1991).","journal-title":"SIAM J. Sci. Statist. Comput."},{"key":"BF02238534_CR17","unstructured":"Vermiglio, R.: Parallel step methods for difference and differential equations. Tech. Rep., C.N.R. Progetto Finaizzato \u201cSistemi Informatici e Calcolo Parallelo\u201d, 1989."}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02238534.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/BF02238534\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/BF02238534","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2020,4,10]],"date-time":"2020-04-10T21:29:24Z","timestamp":1586554164000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/BF02238534"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[1993,9]]},"references-count":17,"journal-issue":{"issue":"3-4","published-print":{"date-parts":[[1993,9]]}},"alternative-id":["BF02238534"],"URL":"https:\/\/doi.org\/10.1007\/bf02238534","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[1993,9]]}}}