Dynamical Systems Method and Applications - Theoretical Developments and Numerical Examples

Szerző: Alexander G. Ramm, Nguyen S. Hoang

Nyelv:

Kötés: Kemény kötésű

Kiadó: John Wiley & Sons Inc

Elérhetőség: 50 % esély

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

Információk a könyvről

Szerző

Alexander G. Ramm, Nguyen S. Hoang

Nyelv

Angol

Kötés

Könyv - Kemény kötésű

Kiadva

2012

oldal

576

EAN

9781118024287

ISBN

1118024281

Enbook ID

04949662

Kiadó

John Wiley & Sons Inc

Súly

942

Méretek

162 x 243 x 34

Teljes leírás

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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