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J. Wavelets Multiresolut Inf. Process."],"published-print":{"date-parts":[[2020,5]]},"abstract":"<jats:p> In this paper, a cascadic Newton\u2019s method is designed to solve the Monge\u2013Amp\u00e8re equation. In the process of implementing the cascadic multigrid, we use the Full-Local type interpolation as prolongation operator and Newton iteration as smoother. In order to obtain Full-Local type interpolation, we provide several finite difference stencils. Especially, the skewed finite difference methods are first applied by us for the elliptic Monge\u2013Amp\u00e8re equation. Based on Full-Local interpolation techniques and cascade principle, the new algorithm can save a large amount of computation time. 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