Cover Image

Dynamical systems method and applications : theoretical developments and numerical examples /

Bibliographic Details
Main Author: Ramm, A. G. (Alexander G.)
Other Authors: Hoang, Nguyen S., 1980-
Format: eBook
Language:English
Published: Hoboken, N.J. : Wiley, [2012]
Series:Wiley Online Library.
Subjects:
Differentiable dynamical systems.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Front Matter
  • Introduction
  • Ill-Posed Problems
  • DSM for Well-Posed Problems
  • DSM and Linear Ill-Posed Problems
  • Some Inequalities
  • DSM for Monotone Operators
  • DSM for General Nonlinear Operator Equations
  • DSM for Operators Satisfying a Spectral Assumption
  • DSM in Banach Spaces
  • DSM and Newton-Type Methods without Inversion of the Derivative
  • DSM and Unbounded Operators
  • DSM and Nonsmooth Operators
  • DSM as a Theoretical Tool
  • DSM and Iterative Methods
  • Numerical Problems Arising in Applications
  • Solving Linear Operator Equations by a Newton-Type DSM
  • DSM of Gradient Type for Solving Linear Operator Equations
  • DSM for Solving Linear Equations with Finite-Rank Operators
  • A Discrepancy Principle for Equations with Monotone Continuous Operators
  • DSM of Newton-Type for Solving Operator Equations with Minimal Smoothness Assumptions
  • DSM of Gradient Type
  • DSM of Simple Iteration Type
  • DSM for Solving Nonlinear Operator Equations in Banach Spaces
  • Numerical Experiments. Solving Linear Operator Equations by the DSM
  • Stable Solutions of Hammerstein-Type Integral Equations
  • Inversion of the Laplace Transform from the Real Axis using an Adaptive Iterative Method
  • Appendix A: Auxiliary Results from Analysis
  • Appendix B: Bibliographical Notes
  • References
  • Index.