Dynamical Systems Method (DSM) is a powerful general method for solving operator equations. These equations can be linear or nonlinear, wellposed or illposed. 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 illconditioned 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 illposed problems wellposed problems linear illposed problems inequalities monotone operators general nonlinear operator equations operators satisfying a spectral assumption Banach spaces Newtontype 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 illconditioned linear algebraic systems.
About Alexander G. Ramm
Alexander G. Ramm, PhD, is Professor in the Department ofMathematics at Kansas State University. Dr. Ramm serves asassociate editor for several journals.Nguyen S. Hoang, PhD, is Visiting Assistant Professor inthe Department of Mathematics at the University of Oklahoma. He haspublished numerous journal articles in the areas of numericalanalysis, operator theory, ordinary and partial differentialequations, optimization, and inverse and illposed problems.
Details Book
Author  :  Alexander G. Ramm 
Publisher  :  John Wiley 
Data Published  :  27 January 2012 
ISBN  :  1118024281 
EAN  :  9781118024287 
Format Book  :  PDF, Epub, DOCx, TXT 
Number of Pages  :  576 pages 
Age +  :  15 years 
Language  :  English 
Rating  : 
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