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
General
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