{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,3,18]],"date-time":"2026-03-18T02:22:50Z","timestamp":1773800570736,"version":"3.50.1"},"publisher-location":"Cham","reference-count":7,"publisher":"Springer International Publishing","isbn-type":[{"value":"9783319202389","type":"print"},{"value":"9783319202396","type":"electronic"}],"license":[{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2015,1,1]],"date-time":"2015-01-01T00:00:00Z","timestamp":1420070400000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2015]]},"DOI":"10.1007\/978-3-319-20239-6_9","type":"book-chapter","created":{"date-parts":[[2015,6,16]],"date-time":"2015-06-16T06:20:53Z","timestamp":1434435653000},"page":"96-103","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":3,"title":["Time Step for Numerically Solving Parabolic Problems"],"prefix":"10.1007","author":[{"given":"Petr N.","family":"Vabishchevich","sequence":"first","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2015,6,17]]},"reference":[{"key":"9_CR1","doi-asserted-by":"crossref","unstructured":"Ascher, U.M., Petzold, L.R.: Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations. Society for Industrial and Applied Mathematics (1998)","DOI":"10.1137\/1.9781611971392"},{"key":"9_CR2","unstructured":"Gear, C.W.: Numerical initial value problems in ordinary differential equations. Prentice Hall (1971)"},{"key":"9_CR3","doi-asserted-by":"publisher","DOI":"10.1007\/978-3-662-12607-3","volume-title":"Solving Ordinary Differential Equations I: Nonstiff Problems","author":"E Hairer","year":"1987","unstructured":"Hairer, E., Norsett, S.P., Wanner, G.: Solving Ordinary Differential Equations I: Nonstiff Problems. Springer, Heidelberg (1987)"},{"key":"9_CR4","doi-asserted-by":"publisher","DOI":"10.1201\/9780203908518","volume-title":"The Theory of Difference Schemes","author":"AA Samarskii","year":"2001","unstructured":"Samarskii, A.A.: The Theory of Difference Schemes. Marcel Dekker, New York (2001)"},{"key":"9_CR5","doi-asserted-by":"publisher","DOI":"10.1137\/1.9780898717839","volume-title":"Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-state and Time-dependent Problems","author":"RJ LeVeque","year":"2007","unstructured":"LeVeque, R.J.: Finite Difference Methods for Ordinary and Partial Differential Equations: Steady-state and Time-dependent Problems. Society for Industrial and Applied Mathematics, Philadelphia (2007)"},{"key":"9_CR6","volume-title":"Galerkin Finite Element Methods for Parabolic Problems","author":"V Thom\u00e9e","year":"2010","unstructured":"Thom\u00e9e, V.: Galerkin Finite Element Methods for Parabolic Problems. Springer-Verlag, Heidelberg (2010)"},{"key":"9_CR7","doi-asserted-by":"publisher","first-page":"424","DOI":"10.1016\/j.amc.2014.10.124","volume":"250","author":"PN Vabishchevich","year":"2015","unstructured":"Vabishchevich, P.N.: A priori estimation of a time step for numerically solving parabolic problems. Appl. Math. Comput. 250, 424\u2013431 (2015)","journal-title":"Appl. Math. Comput."}],"container-title":["Lecture Notes in Computer Science","Finite Difference Methods,Theory and Applications"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-3-319-20239-6_9","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,1,24]],"date-time":"2023-01-24T13:24:01Z","timestamp":1674566641000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-3-319-20239-6_9"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2015]]},"ISBN":["9783319202389","9783319202396"],"references-count":7,"URL":"https:\/\/doi.org\/10.1007\/978-3-319-20239-6_9","relation":{},"ISSN":["0302-9743","1611-3349"],"issn-type":[{"value":"0302-9743","type":"print"},{"value":"1611-3349","type":"electronic"}],"subject":[],"published":{"date-parts":[[2015]]},"assertion":[{"value":"17 June 2015","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}