Frontmatter -- Introduction -- Contents -- 1. Modulus of continuity of the inverse operator and methods for solving ill-posed problems -- 2. Lavrent'ev methods for constructing approximate solutions of linear operator equations of the first kind -- 3. Tikhonov regularization method -- 4. Projection-regularization method -- 5. Inverse heat exchange problems -- References -- Index.
Summary
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. ContentsModulus 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 kindTikhonov regularization methodProjection-regularization methodInverse heat exchange problems.
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