Dynamical Systems Method and Applications - Theoretical Developments and Numerical Examples

Autor: Alexander G. Ramm, Nguyen S. Hoang

Limbă:

Legare: Copertă tare

Editura: John Wiley & Sons Inc

Disponibilitate: În depozitul extern

Expediem în 14-20 zile

794.55 lei

Dynamical Systems Method (DSM) is a powerful general method for solving operator equations. These eq...

Informații despre carte

Autor

Alexander G. Ramm, Nguyen S. Hoang

Limbă

engleză

Legare

Carte - Copertă tare

Publicat

2012

Pagini

576

EAN

9781118024287

ISBN

1118024281

Enbook ID

04949662

Editura

John Wiley & Sons Inc

Greutate

942

Dimensiuni

162 x 243 x 34

Descriere completă

Dynamical Systems Method (DSM) is a powerful general method for solving operator equations. These equations can be linear or nonlinear, well-posed or ill-posed. The book presents a systematic development of the DSM, and theoretical results are illustrated by a number of numerical examples, which are of independent interest. These include: stable differentiation of noisy data, stable solution of ill-conditioned linear algebraic systems, stable solution of Fredholm and Volterra integral equations of the first kind, stable inversion of the Laplace transform from the real axis, solution of nonlinear integral equations, and other examples. Chapter coverage includes ill-posed problems; well-posed problems; linear ill-posed problems; inequalities; monotone operators; general nonlinear operator equations; operators satisfying a spectral assumption; Banach spaces; Newton-type methods without inversion of the derivative; unbound operators; nonsmooth operators; DSM as a theoretical tool; iterative methods; numerical problems arising in applications; auxiliary results from analysis; a discrepancy principle for solving equations with monotone operators; solving linear equations; stable numerical differentiation; deconvolution problems; numerical implementation; and stable solution to ill-conditioned linear algebraic systems.

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Dynamical Systems Method and Applications - Theoretical Developments and Numerical Examples

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