Research Catalog

Title

Dynamical systems method for solving operator equations / Alexander G. Ramm.

Author

Ramm, A. G. (Alexander G.)

Publication

Boston : Elsevier, 2007.

Items in the Library & Off-site

Details

Description

x, 289 p.; 24 cm.

Series Statement

Mathematics in science and engineering ; 0076-5392 ; v. 208

Uniform Title

Mathematics in science and engineering v. 208.

Subject

• Operator equations
• Differentiable dynamical systems

Bibliography (note)

• Includes bibliographical references and index.

Contents

1. Introduction -- 1.1. What this book is about -- 1.2. What the DSM (Dynamical Systems Method) is -- 1.3. The scope of the DSM -- 1.4. A discussion of DSM -- 1.5. Motivations -- 2. Ill-posed problems -- 2.1. Basic definitions. Examples -- 2.2. Variational regularization -- 2.3. Quasisolutions -- 2.4. Iterative regularization -- 2.5. Quasiinversion -- 2.6. Dynamical systems method (DSM) -- 2.7. Variational regularization for nonlinear equations -- 3. DSM for well-posed problems -- 3.1. Every solvable well-posed problem can be solved by DSM -- 3.2. DSM and Newton-type methods -- 3.3. DSM and the modified Newton's method -- 3.4. DSM and Gauss-Newton-type methods -- 3.5. DSM and the gradient method

ISBN

• 9780444527950
• 0444527958

LCCN

^^2006050750

OCLC

• 71210345
• SCSB-13130865

Owning Institutions

Harvard Library