Dynamical Systems Method and Applications - Theoretical Developments and Numerical Examples

Autor: Alexander G. Ramm, Nguyen S. Hoang

Jazyk:

Väzba: Pevná

Vydavateľ: John Wiley & Sons Inc

Dostupnosť: Skladom u dodávateľa

Odosielame za 14-20 dní

151.33 €

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

Informácie o knihe

Autor

Alexander G. Ramm, Nguyen S. Hoang

Jazyk

Angličtina

Väzba

Kniha - Pevná

Vydalo

2012

Stránok

576

EAN

9781118024287

ISBN

1118024281

Enbook ID

04949662

Vydavateľ

John Wiley & Sons Inc

Hmotnosť

942

Rozmery

162 x 243 x 34

Kompletný popis

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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