With cedram.org version française Home Presentation Advanced Search All online articles Latest articles Search for an article Table of contents for this volume | Previous article | Next article Martin Campos Pinto; Frédérique CharlesFrom particle methods to forward-backward Lagrangian schemesSMAI-Journal of computational mathematics, 4 (2018), p. 121-150, doi: 10.5802/smai-jcm.31 Article PDF AbstractIn this article we study a novel method for improving the accuracy of density reconstructions based on markers pushed forward by some available particle code. The method relies on the backward Lagrangian representation of the transported density, and it evaluates the backward flow using the current position of point particles seen as flow markers. Compared to existing smooth particle methods with either fixed or transformed shapes, the proposed reconstruction achieves higher locality and accuracy. 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