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

SKU: 9783110575736

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Optimal Methods for Ill-Posed Problems: With Applications to Heat Conduction (Inverse and Ill-Posed Problems Series), Jack, 9783110575736

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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 Vitalii P. Tanana and Anna I. Sidikova, South Ural State University, Russia.

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