{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,2,28]],"date-time":"2026-02-28T16:40:49Z","timestamp":1772296849438,"version":"3.50.1"},"reference-count":13,"publisher":"Springer Science and Business Media LLC","issue":"1","license":[{"start":{"date-parts":[[2007,10,1]],"date-time":"2007-10-01T00:00:00Z","timestamp":1191196800000},"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":[[2007,10]]},"DOI":"10.1007\/s00607-007-0240-4","type":"journal-article","created":{"date-parts":[[2007,10,9]],"date-time":"2007-10-09T11:12:07Z","timestamp":1191928327000},"page":"91-106","source":"Crossref","is-referenced-by-count":28,"title":["Numerical fixed grid methods for differential inclusions"],"prefix":"10.1007","volume":"81","author":[{"given":"W.-J.","family":"Beyn","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"J.","family":"Rieger","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"297","published-online":{"date-parts":[[2007,10,12]]},"reference":[{"key":"240_CR1","volume-title":"Differential inclusions. Grundlehren der mathematischen Wissenschaften, vol. 264","author":"J.P. Aubin","year":"1984","unstructured":"Aubin J.P. and Cellina A. (1984). Differential inclusions. Grundlehren der mathematischen Wissenschaften, vol. 264. Springer, Berlin"},{"key":"240_CR2","first-page":"3","volume":"67","author":"I.A. Chahma","year":"2003","unstructured":"Chahma I.A. (2003). Set-valued discrete approximation of state-constrained differential inclusions. Bayreuth Math Schr 67: 3\u2013161","journal-title":"Bayreuth Math Schr"},{"key":"240_CR3","doi-asserted-by":"crossref","first-page":"349","DOI":"10.1007\/BF02241223","volume":"41","author":"A. Dontchev","year":"1988","unstructured":"Dontchev A. and Farkhi E. (1988). Error estimates for discretized differential inclusions. Computing 41: 349\u2013358","journal-title":"Computing"},{"issue":"2","key":"240_CR4","doi-asserted-by":"crossref","first-page":"263","DOI":"10.1137\/1034050","volume":"34","author":"A. Dontchev","year":"1992","unstructured":"Dontchev A. and Lempio F. (1992). Difference methods for differential inclusions: a survey. SIAM Rev 34(2): 263\u2013294","journal-title":"SIAM Rev"},{"key":"240_CR5","doi-asserted-by":"crossref","first-page":"1","DOI":"10.1023\/A:1021981217050","volume":"11","author":"G. Grammel","year":"2003","unstructured":"Grammel G. (2003). Towards fully discretized differential inclusions. Set-Valued Anal 11: 1\u20138","journal-title":"Set-Valued Anal"},{"key":"240_CR6","doi-asserted-by":"crossref","DOI":"10.1007\/b83677","volume-title":"Asymptotic behavior of dynamical systems and control systems under perturbation and discretization","author":"L. Gr\u00fcne","year":"2002","unstructured":"Gr\u00fcne L. (2002). Asymptotic behavior of dynamical systems and control systems under perturbation and discretization. Springer, Heidelberg"},{"key":"240_CR7","doi-asserted-by":"crossref","first-page":"169","DOI":"10.1016\/j.sysconle.2004.08.005","volume":"54","author":"L. Gr\u00fcne","year":"2005","unstructured":"Gr\u00fcne L. and Junge O. (2005). A set oriented approach to optimal feedback stabilization. Sys Control Lett 54: 169\u2013180","journal-title":"Sys Control Lett"},{"key":"240_CR8","doi-asserted-by":"crossref","first-page":"259","DOI":"10.1051\/cocv:2004006","volume":"10","author":"O. Junge","year":"2004","unstructured":"Junge O. and Osinga H. (2004). A set oriented approach to global optimal control. ESAIM Control Optim Calc Var 10: 259\u2013270","journal-title":"ESAIM Control Optim Calc Var"},{"issue":"1","key":"240_CR9","first-page":"109","volume":"31","author":"V.A. Komarov","year":"1991","unstructured":"Komarov V.A. and Pevchikh K.E. (1991). A method of approximating attainability sets for differential inclusions with a prescribed accuracy. USSR Comput Math Math Phys 31(1): 109\u2013112","journal-title":"USSR Comput Math Math Phys"},{"key":"240_CR10","first-page":"149","volume":"54","author":"F. Lempio","year":"1998","unstructured":"Lempio F. and Veliov V. (1998). Discrete approximations of differential inclusions. Bayreuth Math Schr 54: 149\u2013232","journal-title":"Bayreuth Math Schr"},{"key":"240_CR11","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-662-08539-4","volume-title":"Mathematical biology","author":"J.D. Murray","year":"1989","unstructured":"Murray J.D. (1989). Mathematical biology. Springer, Berlin"},{"issue":"3","key":"240_CR12","doi-asserted-by":"crossref","first-page":"361","DOI":"10.3934\/dcdsb.2003.3.361","volume":"3","author":"D. Szolnoki","year":"2003","unstructured":"Szolnoki D. (2003). Set oriented methods for computing reachable sets and control sets. Discrete Contin Dyn Sys Ser B 3(3): 361\u2013382","journal-title":"Discrete Contin Dyn Sys Ser B"},{"key":"240_CR13","volume-title":"Optimal control of differential and functional equations","author":"J. Warga","year":"1972","unstructured":"Warga J. (1972). Optimal control of differential and functional equations. Academic Press, New York"}],"container-title":["Computing"],"original-title":[],"language":"en","link":[{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00607-007-0240-4.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/article\/10.1007\/s00607-007-0240-4\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00607-007-0240-4","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2019,5,29]],"date-time":"2019-05-29T14:30:20Z","timestamp":1559140220000},"score":1,"resource":{"primary":{"URL":"http:\/\/link.springer.com\/10.1007\/s00607-007-0240-4"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,10]]},"references-count":13,"journal-issue":{"issue":"1","published-print":{"date-parts":[[2007,10]]}},"alternative-id":["240"],"URL":"https:\/\/doi.org\/10.1007\/s00607-007-0240-4","relation":{},"ISSN":["0010-485X","1436-5057"],"issn-type":[{"value":"0010-485X","type":"print"},{"value":"1436-5057","type":"electronic"}],"subject":[],"published":{"date-parts":[[2007,10]]}}}