Recently Viewed

New

Regularization of Ill-Posed Problems by Iteration Methods by S.F. Gilyazov 9780792361312

No reviews yet Write a Review
Booksplease Price: £46.22

  Bookmarks: Included free with every order
  Delivery: We ship to over 200 countries from the UK
  Range: Millions of books available
  Reviews: Booksplease rated "Excellent" on Trustpilot

  FREE UK DELIVERY: When You Buy 3 or More Books - Use code: FREEUKDELIVERY in your cart!

SKU:
9780792361312
MPN:
9780792361312
Available from Booksplease!
Global delivery available
Global delivery available
Global delivery available
Global delivery available
Global delivery available
Availability: Usually dispatched within 4 working days

Frequently Bought Together:

Total: Inc. VAT
Total: Ex. VAT

Description

Iteration regularization, i.e., utilization of iteration methods of any form for the stable approximate solution of ill-posed problems, is one of the most important but still insufficiently developed topics of the new theory of ill-posed problems. In this monograph, a general approach to the justification of iteration regulari zation algorithms is developed, which allows us to consider linear and nonlinear methods from unified positions. Regularization algorithms are the 'classical' iterative methods (steepest descent methods, conjugate direction methods, gradient projection methods, etc.) complemented by the stopping rule depending on level of errors in input data. They are investigated for solving linear and nonlinear operator equations in Hilbert spaces. Great attention is given to the choice of iteration index as the regularization parameter and to estimates of errors of approximate solutions. Stabilizing properties such as smoothness and shape constraints imposed on the solution are used. On the basis of these investigations, we propose and establish efficient regularization algorithms for stable numerical solution of a wide class of ill-posed problems. In particular, descriptive regularization algorithms, utilizing a priori information about the qualitative behavior of the sought solution and ensuring a substantial saving in computational costs, are considered for model and applied problems in nonlinear thermophysics. The results of calculations for important applications in various technical fields (a continuous casting, the treatment of materials and perfection of heat-protective systems using laser and composite technologies) are given.

Book Information
ISBN 9780792361312
Author S.F. Gilyazov
Format Hardback
Page Count 342
Imprint Springer
Publisher Springer
Weight(grams) 1490g

Reviews

No reviews yet Write a Review

Booksplease  Reviews