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D.  Akrivis,\nFinite difference discretization of the Kuramoto\u2013Sivashinsky equation,\nNumer. Math. 63 (1992), no. 1, 1\u201311.","DOI":"10.1007\/BF01385844"},{"key":"2023033113095726216_j_cmam-2022-0046_ref_002","doi-asserted-by":"crossref","unstructured":"D. M.  Ambrose and A. L.  Mazzucato,\nGlobal existence and analyticity for the 2D Kuramoto\u2013Sivashinsky equation,\nJ. Dynam. Differential Equations 31 (2019), no. 3, 1525\u20131547.","DOI":"10.1007\/s10884-018-9656-0"},{"key":"2023033113095726216_j_cmam-2022-0046_ref_003","doi-asserted-by":"crossref","unstructured":"D.  Armbruster, J.  Guckenheimer and P.  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Math. 49 (1989), no. 3, 676\u2013691.","DOI":"10.1137\/0149039"},{"key":"2023033113095726216_j_cmam-2022-0046_ref_005","doi-asserted-by":"crossref","unstructured":"M.  Bene\u0161, J.  Kratochv\u00edl, J.  K\u0159i\u0161tan, V.  Min\u00e1rik and P.  Pau\u0161,\nA parametric simulation method for discrete dislocation dynamics,\nEur. Phys. J-Spec. Top. 177 (2009), 177\u2013192.","DOI":"10.1140\/epjst\/e2009-01174-7"},{"key":"2023033113095726216_j_cmam-2022-0046_ref_006","doi-asserted-by":"crossref","unstructured":"H. P.  Bhatt and A.  Chowdhury,\nA high-order implicit-explicit Runge\u2013Kutta type scheme for the numerical solution of the Kuramoto\u2013Sivashinsky equation,\nInt. J. Comput. Math. 98 (2021), no. 6, 1254\u20131273.","DOI":"10.1080\/00207160.2020.1814262"},{"key":"2023033113095726216_j_cmam-2022-0046_ref_007","doi-asserted-by":"crossref","unstructured":"F. E.  Browder,\nExistence and uniqueness theorems for solutions of nonlinear boundary value problems,\nProc. Sympos. 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