{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,3,26]],"date-time":"2025-03-26T21:13:23Z","timestamp":1743023603611,"version":"3.40.3"},"publisher-location":"Dordrecht","reference-count":12,"publisher":"Springer Netherlands","isbn-type":[{"type":"print","value":"9789400767379"},{"type":"electronic","value":"9789400767386"}],"license":[{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/www.springernature.com\/gp\/researchers\/text-and-data-mining"},{"start":{"date-parts":[[2013,1,1]],"date-time":"2013-01-01T00:00:00Z","timestamp":1356998400000},"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":[[2013]]},"DOI":"10.1007\/978-94-007-6738-6_127","type":"book-chapter","created":{"date-parts":[[2013,5,2]],"date-time":"2013-05-02T15:22:19Z","timestamp":1367508139000},"page":"1031-1038","update-policy":"https:\/\/doi.org\/10.1007\/springer_crossmark_policy","source":"Crossref","is-referenced-by-count":0,"title":["A Numerical Approach to Solve Point Kinetic Equations Using Taylor-Lie Series and the Adomian Decomposition Method"],"prefix":"10.1007","author":[{"given":"Hag-Tae","family":"Kim","sequence":"first","affiliation":[]},{"family":"Ganduulga","sequence":"additional","affiliation":[]},{"given":"Dong Pyo","family":"Hong","sequence":"additional","affiliation":[]},{"given":"Kil To","family":"Chong","sequence":"additional","affiliation":[]}],"member":"297","published-online":{"date-parts":[[2013,5,3]]},"reference":[{"doi-asserted-by":"crossref","unstructured":"Nahla AA (2011) Taylor\u2019s series method for solving the nonlinear point kinetics equations. Nucl Eng Des","key":"127_CR1","DOI":"10.1016\/j.nucengdes.2011.02.016"},{"key":"127_CR2","doi-asserted-by":"crossref","first-page":"94","DOI":"10.13182\/NSE89-A23663","volume":"103","author":"J Sanchez","year":"1989","unstructured":"Sanchez J (1989) On the numerical solution of the point kinetics equations by generalized Runge\u2013Kutta methods. Nucl Sci Eng 103:94\u201399","journal-title":"Nucl Sci Eng"},{"key":"127_CR3","doi-asserted-by":"publisher","first-page":"1039","DOI":"10.1016\/j.anucene.2003.12.008","volume":"31","author":"M Kinard","year":"2003","unstructured":"Kinard M, Allen EJ (2003) Efficient numerical solution of the point kinetics equations in nuclear reactor dynamics. Ann Nucl Energy 31:1039\u20131051","journal-title":"Ann Nucl Energy"},{"key":"127_CR4","doi-asserted-by":"publisher","first-page":"246","DOI":"10.1016\/j.anucene.2008.11.005","volume":"36","author":"T Sathiyasheela","year":"2008","unstructured":"Sathiyasheela T (2008) Power series solution method for solving point kinetics equations with lumped model temperature and feedback. Ann Nucl Energy 36:246\u2013250","journal-title":"Ann Nucl Energy"},{"key":"127_CR5","doi-asserted-by":"publisher","first-page":"57","DOI":"10.1016\/0898-1221(91)90013-T","volume":"22","author":"G Adomian","year":"1991","unstructured":"Adomian G, Rach R, Meyers R (1991) Numerical algorithms and decomposition. Comput Math Appl 22:57\u201361","journal-title":"Comput Math Appl"},{"key":"127_CR6","doi-asserted-by":"publisher","first-page":"101","DOI":"10.1016\/0898-1221(91)90220-X","volume":"21","author":"G Adomian","year":"1991","unstructured":"Adomian G (1991) A review of the decomposition method and some recent results on nonlinear equations. Comput Math Appl 21:101\u2013127","journal-title":"Comput Math Appl"},{"doi-asserted-by":"crossref","unstructured":"Adomian G (1993) Solving frontier problems of physics: The decomposition method. Springer, London","key":"127_CR7","DOI":"10.1007\/978-94-015-8289-6"},{"key":"127_CR8","doi-asserted-by":"crossref","first-page":"103","DOI":"10.1016\/0895-7177(93)90233-O","volume":"18","author":"Y Cherruault","year":"1993","unstructured":"Cherruault Y, Adomian G (1993) Decomposition methods. In: A new proof of convergence. Math Comput Model 18:103\u2013106","journal-title":"Math Comput Model"},{"key":"127_CR9","doi-asserted-by":"publisher","first-page":"227","DOI":"10.1006\/jmaa.2001.7741","volume":"266","author":"E Deeba","year":"2002","unstructured":"Deeba E, Yoon JM (2002) A decomposition method for solving nonlinear systems of compartment models. J Math Anal Appl 266:227\u2013236","journal-title":"J Math Anal Appl"},{"key":"127_CR10","volume-title":"Dynamics of nuclear reactors","author":"DL Hetrick","year":"1971","unstructured":"Hetrick DL (1971) Dynamics of nuclear reactors. The University of Chicago Press, Chicago"},{"key":"127_CR11","doi-asserted-by":"crossref","first-page":"1091","DOI":"10.1016\/j.pnucene.2011.01.001","volume":"53","author":"CZ Petersen","year":"2011","unstructured":"Petersen CZ, Dulla S, Vilhena MTMB, Ravetto P (2011) An analytical solution of the point kinetics equations with time-variable reactivity by the decomposition method. Prog Nucl Energy 53:1091\u20131094","journal-title":"Prog Nucl Energy"},{"key":"127_CR12","doi-asserted-by":"publisher","first-page":"153","DOI":"10.1115\/1.1870046","volume":"127","author":"N Kazantzis","year":"2005","unstructured":"Kazantzis N, Chong KT, Park JH, Parlos AG (2005) Control-relevant discretization of nonlinear systems with time-delay using Taylor-Lie series. J Dyn Syst Meas Contr 127:153\u2013159","journal-title":"J Dyn Syst Meas Contr"}],"container-title":["Lecture Notes in Electrical Engineering","Multimedia and Ubiquitous Engineering"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/link.springer.com\/content\/pdf\/10.1007\/978-94-007-6738-6_127","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2023,2,19]],"date-time":"2023-02-19T11:33:31Z","timestamp":1676806411000},"score":1,"resource":{"primary":{"URL":"https:\/\/link.springer.com\/10.1007\/978-94-007-6738-6_127"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2013]]},"ISBN":["9789400767379","9789400767386"],"references-count":12,"URL":"https:\/\/doi.org\/10.1007\/978-94-007-6738-6_127","relation":{},"ISSN":["1876-1100","1876-1119"],"issn-type":[{"type":"print","value":"1876-1100"},{"type":"electronic","value":"1876-1119"}],"subject":[],"published":{"date-parts":[[2013]]},"assertion":[{"value":"3 May 2013","order":1,"name":"first_online","label":"First Online","group":{"name":"ChapterHistory","label":"Chapter History"}}]}}