{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2024,9,4]],"date-time":"2024-09-04T02:48:52Z","timestamp":1725418132630},"reference-count":17,"publisher":"IEEE","content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":[],"published-print":{"date-parts":[[2007,7]]},"DOI":"10.1109\/acc.2007.4282977","type":"proceedings-article","created":{"date-parts":[[2007,8,8]],"date-time":"2007-08-08T12:01:54Z","timestamp":1186574514000},"page":"1045-1050","source":"Crossref","is-referenced-by-count":1,"title":["A Homotopic Approach to Domain Determination and Solution Refinement for the Fokker-Planck Equation"],"prefix":"10.1109","author":[{"given":"Mrinal","family":"Kumar","sequence":"first","affiliation":[]},{"given":"Suman","family":"Chakravorty","sequence":"additional","affiliation":[]},{"given":"John L.","family":"Junkins","sequence":"additional","affiliation":[]}],"member":"263","reference":[{"doi-asserted-by":"publisher","key":"ref10","DOI":"10.1016\/S0020-7462(00)00085-8"},{"doi-asserted-by":"publisher","key":"ref11","DOI":"10.1016\/S0020-7462(96)00134-5"},{"doi-asserted-by":"publisher","key":"ref12","DOI":"10.1016\/S0266-8920(02)00034-6"},{"key":"ref13","article-title":"High Fidelity Numerical Solutions of the FPE","author":"wojtkiewicz","year":"1997","journal-title":"Proc ICOSSAR 7th Intl Conf on Structural Safety and Reliability"},{"key":"ref14","first-page":"290","article-title":"FE and FD Solutions to the Transient FPE","author":"johnson","year":"1997","journal-title":"Proc of a Workshop Nonlinear and Stochastic Beam Dynamics in Accelerators"},{"doi-asserted-by":"publisher","key":"ref15","DOI":"10.1016\/j.cma.2004.06.041"},{"doi-asserted-by":"publisher","key":"ref16","DOI":"10.1016\/S0022-460X(85)80037-7"},{"doi-asserted-by":"publisher","key":"ref17","DOI":"10.1002\/(SICI)1097-0207(19970228)40:4<727::AID-NME86>3.0.CO;2-N"},{"key":"ref4","article-title":"A Semianlytic Meshless Approach to the Fokker-Planck Equation with Application to Hybrid Systems","author":"kumar","year":"2007","journal-title":"IEEE Conference on Decision and Control"},{"doi-asserted-by":"publisher","key":"ref3","DOI":"10.1080\/00207176908905786"},{"doi-asserted-by":"publisher","key":"ref6","DOI":"10.1016\/j.probengmech.2008.07.006"},{"key":"ref5","article-title":"A Homotopic Approach to the Solution of the Fokker-Planck-Kolmogorov Equation","author":"chakravorty","year":"0","journal-title":"SIAM J App Math"},{"year":"2003","author":"roberts","article-title":"Random Vibration and Statistical Linearization","key":"ref8"},{"doi-asserted-by":"publisher","key":"ref7","DOI":"10.1016\/S0045-7825(98)00145-5"},{"doi-asserted-by":"publisher","key":"ref2","DOI":"10.2514\/6.2006-6285"},{"key":"ref1","doi-asserted-by":"crossref","DOI":"10.1007\/978-3-642-61544-3","article-title":"The Fokker Planck Equation: Methods of Solution and Applications","author":"risken","year":"1989","journal-title":"Springer Series in Synergetics"},{"key":"ref9","article-title":"Nonlinear Mapping of Gaussian State Uncertainties: Theory and Applications to Spacecraft Control and Navigation","author":"park","year":"2005","journal-title":"AAS\/AIAA Astrodynamics Specialist Conference"}],"event":{"name":"2007 American Control Conference","start":{"date-parts":[[2007,7,9]]},"location":"New York, NY, USA","end":{"date-parts":[[2007,7,13]]}},"container-title":["2007 American Control Conference"],"original-title":[],"link":[{"URL":"http:\/\/xplorestaging.ieee.org\/ielx5\/4282134\/4282135\/04282977.pdf?arnumber=4282977","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2017,6,17]],"date-time":"2017-06-17T17:49:55Z","timestamp":1497721795000},"score":1,"resource":{"primary":{"URL":"http:\/\/ieeexplore.ieee.org\/document\/4282977\/"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2007,7]]},"references-count":17,"URL":"https:\/\/doi.org\/10.1109\/acc.2007.4282977","relation":{},"ISSN":["0743-1619"],"issn-type":[{"type":"print","value":"0743-1619"}],"subject":[],"published":{"date-parts":[[2007,7]]}}}