{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,9,30]],"date-time":"2026-09-30T08:50:44Z","timestamp":1790758244725,"version":"4.1.0"},"reference-count":25,"publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"3","funder":[{"DOI":"10.13039\/100000015","name":"U.S. Department of Energy","doi-asserted-by":"publisher","award":["DE-AC02-05CH11231"],"award-info":[{"award-number":["DE-AC02-05CH11231"]}],"id":[{"id":"10.13039\/100000015","id-type":"DOI","asserted-by":"publisher"}]}],"content-domain":{"domain":[],"crossmark-restriction":false},"short-container-title":["SIAM J. Sci. Comput."],"published-print":{"date-parts":[[2017,1]]},"abstract":"<jats:p>Numerical solutions to the Vlasov--Poisson system of equations have important applications to both plasma physics and cosmology. In this paper, we present a new particle-in-cell (PIC) method for solving this system that is 4th-order accurate in both space and time. Our method is a high-order extension of one presented previously [B. Wang, G. H. Miller, and P. Colella, SIAM J. Sci. Comput., 33 (2011), pp. 3509--3537]. It treats all of the stages of the standard PIC update---charge deposition, force interpolation, the field solve, and the particle push---with 4th-order accuracy, and includes a 6th-order accurate phase-space remapping step for controlling particle noise. We demonstrate the convergence of our method on a series of one- and two- dimensional electrostatic plasma test problems, comparing its accuracy to that of a 2nd-order method. As expected, the 4th-order method can achieve accuracy comparable to that of the 2nd-order method and with considerably fewer resolution elements.<\/jats:p>","DOI":"10.1137\/16m105962x","type":"journal-article","created":{"date-parts":[[2017,5,9]],"date-time":"2017-05-09T11:44:34Z","timestamp":1494330274000},"page":"B467-B485","source":"Crossref","is-referenced-by-count":28,"title":["A 4th-Order Particle-in-Cell Method with Phase-Space Remapping for the Vlasov--Poisson Equation"],"prefix":"10.1137","volume":"39","author":[{"given":"A.","family":"Myers","sequence":"first","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"P.","family":"Colella","sequence":"additional","affiliation":[],"role":[{"vocabulary":"crossref","role":"author"}]},{"given":"B. 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Adams, P. Colella, D. T. Graves, J. N. Johnson, N. D. Keen, T. J. Ligocki, D. F. Martin, P. W. McCorquodale, D. Modiano, P. O. Schwartz, T. D. Sternberg, and B. Van Straalen,\n                      Chombo Software Package for AMR Applications-Design Document\n                      , Technical Report LBNL-6616E, Lawrence Berkeley National Laboratory, Berkeley, CA, 2015."},{"key":"atypb22","doi-asserted-by":"publisher","DOI":"10.1016\/j.jcp.2007.07.035"},{"key":"atypb23","doi-asserted-by":"publisher","DOI":"10.1016\/0167-7977(85)90010-3"},{"key":"atypb24","volume-title":"U.S. Government Printing Office Washington","author":"Abramowitz M.","year":"1972"},{"key":"atypb25","doi-asserted-by":"publisher","DOI":"10.3847\/0004-637X\/816\/2\/56"}],"container-title":["SIAM Journal on Scientific Computing"],"original-title":[],"language":"en","link":[{"URL":"https:\/\/epubs.siam.org\/doi\/pdf\/10.1137\/16M105962X","content-type":"unspecified","content-version":"vor","intended-application":"similarity-checking"}],"deposited":{"date-parts":[[2026,8,21]],"date-time":"2026-08-21T15:42:28Z","timestamp":1787326948000},"score":1,"resource":{"primary":{"URL":"https:\/\/epubs.siam.org\/doi\/10.1137\/16M105962X"}},"subtitle":[],"short-title":[],"issued":{"date-parts":[[2017,1]]},"references-count":25,"journal-issue":{"issue":"3","published-print":{"date-parts":[[2017,1]]}},"alternative-id":["10.1137\/16M105962X"],"URL":"https:\/\/doi.org\/10.1137\/16m105962x","relation":{},"ISSN":["1064-8275","1095-7197"],"issn-type":[{"value":"1064-8275","type":"print"},{"value":"1095-7197","type":"electronic"}],"subject":[],"published":{"date-parts":[[2017,1]]}}}