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Newton methods for nonlinear problems. Affine invariance and adaptive algorithms. Softcover reprint of the 2006 2nd corrected printing. (English) Zbl 1226.65043
Springer Series in Computational Mathematics 35. Berlin: Springer (ISBN 978-3-642-23898-7/pbk; 978-3-642-23899-4/ebook). xii, 424 p. (2011).
See the review of the first edition (2004; Zbl 1056.65051).

MSC:
65H10 Numerical computation of solutions to systems of equations
65-02 Research exposition (monographs, survey articles) pertaining to numerical analysis
65L05 Numerical methods for initial value problems
65L10 Numerical solution of boundary value problems involving ordinary differential equations
65N30 Finite element, Rayleigh-Ritz and Galerkin methods for boundary value problems involving PDEs
65J15 Numerical solutions to equations with nonlinear operators (do not use 65Hxx)
47J25 Iterative procedures involving nonlinear operators
34A34 Nonlinear ordinary differential equations and systems, general theory
34B15 Nonlinear boundary value problems for ordinary differential equations
35J65 Nonlinear boundary value problems for linear elliptic equations
Software:
NewtonLib; NITSOL
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