{ "id": "1205.3157", "version": "v1", "published": "2012-05-12T08:17:15.000Z", "updated": "2012-05-12T08:17:15.000Z", "title": "Multi-Adaptive Galerkin Methods for ODEs II: Implementation and Applications", "authors": [ "Anders Logg" ], "journal": "SIAM Journal on Scientific Computing 27(3), pp. 741-758 (2003)", "doi": "10.1137/S1064827501389734", "categories": [ "math.NA" ], "abstract": "Continuing the discussion of the multi-adaptive Galerkin methods mcG(q) and mdG(q) presented in [A. Logg, SIAM J. Sci. Comput., 24 (2003), pp. 1879-1902], we present adaptive algorithms for global error control, iterative solution methods for the discrete equations, features of the implementation Tanganyika, and computational results for a variety of ODEs. Examples include the Lorenz system, the solar system, and a number of time-dependent PDEs.", "revisions": [ { "version": "v1", "updated": "2012-05-12T08:17:15.000Z" } ], "analyses": { "subjects": [ "65L05", "65L07", "65L20", "65L50", "65L60", "65L70", "65L80" ], "keywords": [ "applications", "multi-adaptive galerkin methods mcg", "global error control", "solar system", "lorenz system" ], "tags": [ "journal article" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable", "adsabs": "2012arXiv1205.3157L" } } }