TY - BOOK A1 - Van Leeuwen, Peter Jan A1 - Cheng, Yuan A1 - Reich, Sebastian T1 - Nonlinear data assimilation T2 - Frontiers in applied dynamical systems: reviews and tutorials ; 2 N2 - This book contains two review articles on nonlinear data assimilation that deal with closely related topics but were written and can be read independently. Both contributions focus on so-called particle filters. The first contribution by Jan van Leeuwen focuses on the potential of proposal densities. It discusses the issues with present-day particle filters and explorers new ideas for proposal densities to solve them, converging to particle filters that work well in systems of any dimension, closing the contribution with a high-dimensional example. The second contribution by Cheng and Reich discusses a unified framework for ensemble-transform particle filters. This allows one to bridge successful ensemble Kalman filters with fully nonlinear particle filters, and allows a proper introduction of localization in particle filters, which has been lacking up to now. Y1 - 2015 UR - https://publishup.uni-potsdam.de/frontdoor/index/index/docId/54441 SN - 978-3-319-18346-6 SN - 978-3-319-18347-3 PB - Springer CY - Cham ER -