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For this purpose, we present a method using patches decomposing the phase domain, each patch being devoted to a processor. Some Hermite boundary conditions allow for the reconstruction of a good approximation of the global solution. Several numerical results demonstrate the accuracy and the good scalability of the method with up to 64 processors. This work is a part of the CALVI project.<\/jats:p>","DOI":"10.2478\/v10006-007-0028-x","type":"journal-article","created":{"date-parts":[[2007,10,12]],"date-time":"2007-10-12T14:22:52Z","timestamp":1192198972000},"page":"335-349","source":"Crossref","is-referenced-by-count":21,"title":["Hermite Spline Interpolation on Patches for Parallelly Solving the Vlasov-Poisson Equation"],"prefix":"10.61822","volume":"17","author":[{"given":"Nicolas","family":"Crouseilles","sequence":"first","affiliation":[]},{"given":"Guillaume","family":"Latu","sequence":"additional","affiliation":[]},{"given":"Eric","family":"Sonnendr\u00fccker","sequence":"additional","affiliation":[]}],"member":"37438","reference":[{"key":"1","doi-asserted-by":"crossref","first-page":"163","DOI":"10.1007\/BF01385720","article-title":"Analysis of an algorithm for the Galerkin-characteristic method","volume":"60","author":"R Bermejo","year":"1991","journal-title":"Numerische Mathematik"},{"key":"2","doi-asserted-by":"crossref","first-page":"341","DOI":"10.1016\/S0021-9991(03)00318-8","article-title":"Semi-Lagrangian schemes for the Vlasov equation on an unstructured mesh of phase space","volume":"191","author":"N. 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