{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,1,30]],"date-time":"2026-01-30T22:03:58Z","timestamp":1769810638109,"version":"3.49.0"},"reference-count":7,"publisher":"Springer Science and Business Media LLC","issue":"4","license":[{"start":{"date-parts":[[2008,8,19]],"date-time":"2008-08-19T00:00:00Z","timestamp":1219104000000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"},{"start":{"date-parts":[[2008,8,19]],"date-time":"2008-08-19T00:00:00Z","timestamp":1219104000000},"content-version":"vor","delay-in-days":0,"URL":"https:\/\/www.springer.com\/tdm"}],"content-domain":{"domain":["link.springer.com"],"crossmark-restriction":false},"short-container-title":["Numer. Math."],"published-print":{"date-parts":[[2008,10]]},"DOI":"10.1007\/s00211-008-0173-7","type":"journal-article","created":{"date-parts":[[2008,8,18]],"date-time":"2008-08-18T10:09:39Z","timestamp":1219054179000},"page":"539-559","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":36,"title":["Convergence analysis of sectional methods for solving breakage population balance equations-II: the cell average technique"],"prefix":"10.1007","volume":"110","author":[{"given":"Jitendra","family":"Kumar","sequence":"first","affiliation":[]},{"given":"Gerald","family":"Warnecke","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2008,8,19]]},"reference":[{"key":"173_CR1","doi-asserted-by":"publisher","first-page":"72","DOI":"10.1016\/j.jcis.2006.10.044","volume":"306","author":"M. Kostoglou","year":"2007","unstructured":"Kostoglou M.: Extended cell average technique for the solution of coagulation equation. J. Colloid Interface Sci. 306, 72\u201381 (2007)","journal-title":"J. Colloid Interface Sci."},{"key":"173_CR2","unstructured":"Kumar, J.: Numerical approximations of population balance equations in particulate systems. Phd Thesis, Otto-von-Guericke-University Magdeburg (2006)"},{"key":"173_CR3","first-page":"205","volume":"179","author":"J. Kumar","year":"2007","unstructured":"Kumar J., Peglow M., Warnecke G., Heinrich S.: An efficient numerical technique for solving population balance equation involving aggregation, breakage, growth and nucleation. Powder Technol. 179, 205\u2013228 (2007)","journal-title":"Powder Technol."},{"key":"173_CR4","doi-asserted-by":"publisher","first-page":"3327","DOI":"10.1016\/j.ces.2005.12.014","volume":"61","author":"J. Kumar","year":"2006","unstructured":"Kumar J., Peglow M., Warnecke G., Heinrich S., M\u00f6rl L.: Improved accuracy and convergence of discretized population balance for aggregation: The cell average technique. Chem. Eng. Sci. 61, 3327\u20133342 (2006)","journal-title":"Chem. Eng. Sci."},{"key":"173_CR5","doi-asserted-by":"crossref","unstructured":"Kumar, J., Warnecke, G.: Convergence analysis of sectional methods for solving breakage population balance equation-I. The fixed pivot technique. Numerische Math. (2008) (in press)","DOI":"10.1007\/s00211-008-0174-6"},{"key":"173_CR6","doi-asserted-by":"publisher","first-page":"1311","DOI":"10.1016\/0009-2509(96)88489-2","volume":"51","author":"S. Kumar","year":"1996","unstructured":"Kumar S., Ramkrishna D.: On the solution of population balance equations by discretization-I. A fixed pivot technique. Chem. Eng. Sci. 51, 1311\u20131332 (1996)","journal-title":"Chem. Eng. Sci."},{"key":"173_CR7","doi-asserted-by":"publisher","first-page":"4659","DOI":"10.1016\/S0009-2509(97)00307-2","volume":"52","author":"S. Kumar","year":"1997","unstructured":"Kumar S., Ramkrishna D.: On the solution of population balance equations by discretization-III. Nucleation, growth and aggregation of particles. Chem. Eng. Sci. 52, 4659\u20134679 (1997)","journal-title":"Chem. Eng. Sci."}],"container-title":["Numerische Mathematik"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-008-0173-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"text-mining"},{"URL":"https:\/\/link.springer.com\/article\/10.1007\/s00211-008-0173-7\/fulltext.html","content-type":"text\/html","content-version":"vor","intended-application":"text-mining"},{"URL":"http:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-008-0173-7","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"},{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/s00211-008-0173-7.pdf","content-type":"application\/pdf","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2022,5,16]],"date-time":"2022-05-16T05:03:10Z","timestamp":1652677390000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/s00211-008-0173-7"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2008,8,19]]},"references-count":7,"journal-issue":{"issue":"4","published-print":{"date-parts":[[2008,10]]}},"alternative-id":["173"],"URL":"https:\/\/doi.org\/10.1007\/s00211-008-0173-7","relation":{},"ISSN":["0029-599X","0945-3245"],"issn-type":[{"value":"0029-599X","type":"print"},{"value":"0945-3245","type":"electronic"}],"subject":[],"published":{"date-parts":[[2008,8,19]]},"assertion":[{"value":"6 November 2007","order":1,"name":"received","label":"Received","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"8 July 2008","order":2,"name":"revised","label":"Revised","group":{"name":"ArticleHistory","label":"Article History"}},{"value":"19 August 2008","order":3,"name":"first_online","label":"First Online","group":{"name":"ArticleHistory","label":"Article History"}}]}}