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The versatile Arbitrary-DERivative (ADER) scheme is cast in a multilevelframework (ML-ADER) for fast solution of system of linear hyperbolic partialdifferential equations. The solution is cycled through spatial operators ofvarying accuracy while retaining highest-order accuracy by the use of a forcingfunction. Accuracy analysis of the multilevel framework including in theML-ADER form is carried out in time-domain as well as frequency-domain. Resultsare obtained for benchmark problems in computational aeroacoustics at a muchreduced computational cost.

Higher-Order Multilevel Framework for ADER Scheme in Computational Aeroacoustics