A projection method for computing turning points of nonlinear equations
type: Item
instance of: scholarly article
title: A projection method for computing turning points of nonlinear equations
zbMATH Open document ID: 0769.65032
DOI: 10.1007/BF02310529
published in: Computing
publication date: 1993-01-11T00:00:00Z
review text: Let \(H\) be a real Hilbert space, \(\mathbb{R}\) the set of all real numbers and \(T: H\times \mathbb{R} \to H\) a sufficiently smooth mapping. A direct method for determining simple turning points of nonlinear equations of the type \(F(u,\lambda) = u-T(u,\lambda) = 0\), \(u\in H\), \(\lambda \in \mathbb{R}\), is presented with applications and numerical examples.
Mathematics Subject Classification ID: 65J15
Mathematics Subject Classification ID: 47J25
zbMATH DE Number: 86179
zbMATH Keywords: projection method
zbMATH Keywords: Hilbert space
zbMATH Keywords: turning points
zbMATH Keywords: numerical examples
author: Igor Moret
reviewed by: Olga Hadžić
describes a project that uses: PLTMGC
MaRDI profile type: Publication
cites work: An efficient algorithm for the determination of certain bifurcation points
cites work: Q4073917
cites work: A Mesh-Independence Principle for Operator Equations and Their Discretizations
cites work: Stability Regions in the Numerical Treatment of Volterra Integral Equations
cites work: Q3219724
cites work: Finite dimensional approximation of nonlinear problems. II: Limit points
cites work: Generalized Deflated Block-Elimination
cites work: The Local Convergence of Broyden-Like Methods on Lipschitzian Problems in Hilbert Spaces
cites work: Q3470840
cites work: Folds in Solutions of Two Parameter Systems and Their Calculation. Part I
cites work: Superconvergence of a Collocation-Type Method for Simple Turning Points of Hammerstein Equations
cites work: Efficient Computation of Singular Points
cites work: The Calculation of Turning Points of Nonlinear Equations
cites work: The Convergence of Operator Approximations at Turning Points
cites work: A continuation procedure based on projected Newton steps
cites work: An Iterative Variant of the Degenerate Kernel Method for Solving Fredholm Integral Equations
cites work: A quasi-Newton method for solving fixed point problems in Hilbert spaces
cites work: Une méthode numérique pour le calcul des points de retournement. Application à un problème aux limites non-linéaire. I: Étude théorique et experimentation de la méthode
cites work: Computing turning points of curves implicitly defined by nonlinear equations depending on a parameter
cites work: Q3873024
cites work: Q5531981
full work available at URL: https://doi.org/10.1007/bf02310529
OpenAlex ID: W67320968
description: scientific article; zbMATH DE number 86179