Abstract
We deal with the problem y″ = -λ (Ly + Hy), respectively with the inverse integral equation y = G (L + K) y which has a triangular kernel. There is L linear and Hy = o (∥y∥). For numerical computation the solution is brought to functional dependence on a parameter. Turning points are regular solution points. In the special NAEV-method the completely continuous and nonlinear integral operator is approximated by a sum operator. Therefore we get a collectively compact family. By Newton-linearization of the approximating problem and approximation of the inverse of the F-derivative we get a class of Newton-like methods as a corrector component of the NAEV-method.
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Wiesweg, U. (1980). Eine Numerische Behandlung von Primären Bifurkationszweigen. In: Mittelmann, H.D., Weber, H. (eds) Bifurcation Problems and their Numerical Solution. ISNM: International Series of Numerical Mathematics / Internationale Schriftenreihe zur Numerischen Mathematik / Série internationale d’Analyse numérique, vol 54. Birkhäuser, Basel. https://doi.org/10.1007/978-3-0348-6294-3_12
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DOI: https://doi.org/10.1007/978-3-0348-6294-3_12
Publisher Name: Birkhäuser, Basel
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