A wavelet adaptive two-step Newton type method

DOI10.1016/j.jfranklin.2011.02.006zbMath1223.65037OpenAlexW1996578542MaRDI QIDQ548429

Sonia Busquier, Fernando Manzano, Antonio Escudero, Sergio Amat

Publication date: 28 June 2011

Published in: Journal of the Franklin Institute (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfranklin.2011.02.006

zbMATH Keywords

Sobolev spacewaveletsemilocal convergencetwo-step Newton type method

Mathematics Subject Classification ID

Iterative procedures involving nonlinear operators (47J25) Numerical methods for wavelets (65T60) Numerical solutions to equations with nonlinear operators (65J15)

Cites Work

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• Kantorovich-type convergence criterion for inexact Newton methods
• Multilevel decompositions of functional spaces
• Stability of multiscale transformations
• A wavelet adaptive Newton method for the solution of nonlinear equations
• Convergence of a nonlinear wavelet algorithm for the solution of PDEs
• Inexact Newton Methods
• Adaptive wavelet methods for elliptic operator equations: Convergence rates
• Tree approximation and optimal encoding

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