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Augmented Systems for the Computation of Singular Points in Banach Space Problems
Author(s) -
Hermann Martin,
Middelmann Wolfgang,
Kunkel Peter
Publication year - 1998
Publication title -
zamm ‐ journal of applied mathematics and mechanics / zeitschrift für angewandte mathematik und mechanik
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 51
eISSN - 1521-4001
pISSN - 0044-2267
DOI - 10.1002/(sici)1521-4001(199801)78:1<39::aid-zamm39>3.0.co;2-j
Subject(s) - banach space , equivalence (formal languages) , singular point of a curve , mathematics , singular solution , class (philosophy) , point (geometry) , computation , space (punctuation) , boundary value problem , singular value , mathematical analysis , pure mathematics , computer science , geometry , algorithm , artificial intelligence , eigenvalues and eigenvectors , physics , quantum mechanics , operating system
We give a family of augmented systems as well as minimally extended systems which are suitable for the numerical detection and determination of singular points of Banach space problems. The systems are constructed in such a way that they only differ in a small part which must be adapted to the equivalence class to which the desired singular point belongs. The presented general results are specialized to the case of two‐point boundary value problems.