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Dynamical Systems Method for Solving Nonlinear Operator Equations: Mathematics in Science and Engineering, cartea 208

Autor Alexander G. Ramm
en Limba Engleză Hardback – 25 sep 2006
Dynamical Systems Method for Solving Nonlinear Operator Equations is of interest to graduate students in functional analysis, numerical analysis, and ill-posed and inverse problems especially. The book presents a general method for solving operator equations, especially nonlinear and ill-posed. It requires a fairly modest background and is essentially self-contained. All the results are proved in the book, and some of the background material is also included. The results presented are mostly obtained by the author.

  • Contains a systematic development of a novel general method, the dynamical systems method, DSM for solving operator equations, especially nonlinear and ill-posed
  • Self-contained, suitable for wide audience
  • Can be used for various courses for graduate students and partly for undergraduates (especially for RUE classes)
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Specificații

ISBN-13: 9780444527950
ISBN-10: 0444527958
Pagini: 304
Dimensiuni: 152 x 229 x 17 mm
Greutate: 0.63 kg
Editura: ELSEVIER SCIENCE
Seria Mathematics in Science and Engineering


Public țintă

Mathematicians, numerical analysists, specialists in scientific computing, engineers and others interested in solving operator equations, ill-posed and inverse problems.

Cuprins

1. Introduction2. Ill-posed problems3. DSM for well-posed problems4. DSM and linear ill-posed problems5. Some inequalities6. DSM for monotone operators7. DSM for general nonlinear operator equations8 DSM for operators satisfying a spectral assumption9. DSM in Banach spaces10. DSM and Newton-type methods without inversion of the derivative11. DSM and unbounded operators12. DSM and nonsmooth operators13. DSM as a theoretical tool14. DSM and iterative methods15. Numerical problems arising in applications16. Auxiliary results from analysis