Accepted Manuscript Application of the Rosenbrock methods to the solution of unsteady 3D incompressible Navier-Stokes equations Simone Deparis, Michel O. Deville, Filippo Menghini, Luca Pegolotti, Alfio Quarteroni PII: S0045-7930(18)30721-7 DOI: https://doi.org/10.1016/j.compfluid.2018.10.005 Reference: CAF 4022 To appear in: Computers and Fluids Received date: 2 November 2017 Revised date: 28 September 2018 Accepted date: 3 October 2018 Please cite this article as: Simone Deparis, Michel O. Deville, Filippo Menghini, Luca Pegolotti, Alfio Quarteroni, Application of the Rosenbrock methods to the solution of un- steady 3D incompressible Navier-Stokes equations, Computers and Fluids (2018), doi: https://doi.org/10.1016/j.compfluid.2018.10.005 This is a PDF file of an unedited manuscript that has been accepted for publication. As a service to our customers we are providing this early version of the manuscript. The manuscript will undergo copyediting, typesetting, and review of the resulting proof before it is published in its final form. Please note that during the production process errors may be discovered which could affect the content, and all legal disclaimers that apply to the journal pertain.