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Computation of cusp singularities for operator equations and their discretizations
ArticleAbstract: We discuss the direct calculation of cusp singularities as solutions of a minimally augmented definiPalabras claves:cubic turning point, fold defining system, minimal augmentation, Newton's method, Numerical bifurcation, projection discretization, reduced system, winged cuspAutores:Andreas Griewank, Reddien G.Fuentes:scopusCHARACTERIZATION AND COMPUTATION OF GENERALIZED TURNING POINTS.
ArticleAbstract: A minimal set of augmenting equations is given so that general parameter dependent problems togetherPalabras claves:Autores:Andreas Griewank, Reddien G.Fuentes:scopusThe approximate solution of defining equations for generalized turning points
ArticleAbstract: A set of defining equations for turning points is shown to produce a test function that can be compuPalabras claves:Newton's method, Singularities, Turning pointsAutores:Andreas Griewank, Reddien G.Fuentes:scopusThe approximation of generalized turning points by projection methods with superconvergence to the critical parameter
ArticleAbstract: A procedure is given that generates characterizations of singular manifolds for mildly nonlinear mapPalabras claves:Subject Classifications: AMS (MOS): 65H10, CR: G1.5Autores:Andreas Griewank, Reddien G.Fuentes:scopusThe calculation of hopf points by a direct method
ArticleAbstract: A non-singular system is given that enables one to compute Hopf points for ordinary differential equPalabras claves:Autores:Andreas Griewank, Reddien G.Fuentes:scopus