SummaryThis work constitutes a fraction of a more extensive effort, which ultimate objective is the development of advanced aeroacoustics hybrid methods. Within this framework, we here focus on the interpolation step, on which generally rely all coupling processes that link altogether the various stages constituting any given hybrid method. In that regard, previous works by the present authors had revealed the intrinsic limitations and subsequent side effects (e.g., signal degradation) that weight on usual high‐order interpolation schemes, whether the latter are of centered or noncentered nature, as well as optimized in an acoustic sense or not. Based on the outcomes of such study, here, a novel optimization technique for interpolation schemes is proposed. Such a technique, which is designed hereafter as theinterpolation by parts (IBP), allows interpolating accurately a given signal, while minimizing its possible degradation. As a result, compared with its standard counterpart, anyIBP‐optimized interpolation scheme exhibits improved characteristics, such as a spurious modes generation that is greatly reduced (up to a 99%factor). Such improved characteristics are here validated on the basis of three test cases (of 1D, 2Dand 3Dnature), which illustrates the potentialities offered by the IBP optimization technique. Copyright © 2015 John Wiley & Sons, Ltd.