Optimal Methods for Ill-Posed Problems: With Applications to Heat Conduction (Inverse and Ill-Posed Problems)

by Vitalii P. Tanana and Anna I. Sidikova

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The book covers fundamentals of the theory of optimal methods for solving ill-posed problems, as well as ways to obtain accurate and accurate-by-order error estimates for these methods. The methods described in the current book are used to solve a number of inverse problems in mathematical physics.



Contents
Modulus of continuity of the inverse operator and methods for solving ill-posed problems
Lavrent'ev methods for constructing approximate solutions of linear operator equations of the first kind
Tikhonov regularization method
Projection-regularization method
Inverse heat exchange problems
  • ISBN10 3110577216
  • ISBN13 9783110577211
  • Publish Date 19 March 2018
  • Publish Status Active
  • Publish Country DE
  • Imprint De Gruyter