Kanevsky, AlexCarpenter, Mark H.Hesthaven, Jan S.2013-11-122013-11-122013-11-12200610.1016/j.jcp.2006.05.014https://infoscience.epfl.ch/handle/20.500.14299/96935WOS:000243079600004The comparison of numerical results for implicit-explicit and fully explicit Runge-Kutta time integration methods for a nozzle flow problem shows that filtering can significantly degrade the accuracy of the numerical solution for long-time integration problems. We demonstrate analytically and numerically that filtering-in-time errors become additive for parallel to u(N)(x, t + k Delta t) - u(N)(x, t)parallel to << parallel to u(N)(x, t)parallel to when nonidempotent filters are used, and suggest the development and implementation of idempotent filters. (c) 2006 Elsevier Inc. All rights reserved.idempotentmodal filtersspectral methodsimplicit-explicit (IMEX) Runge-Kuttatext::journal::journal article::research article