The approximation of generalized turning points by projection methods with superconvergence to the critical parameter |
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Authors: | A Griewank G W Reddien |
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Institution: | (1) Department of Mathematics, Southern Methodist University, 75275 Dallas, TX, USA |
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Abstract: | Summary A procedure is given that generates characterizations of singular manifolds for mildly nonlinear mappings between Banach spaces. This characterization is used to develop a method for determining generalized turning points by using projection methods as a discretization. Applications are given to parameter dependent two-point boundary value problems. In particular, collocation at Gauss points is shown to achieve superconvergence in approximating the parameter at simple turning points. |
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Keywords: | AMS (MOS): 65H10 CR: G1 5 |
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