Optimal Methods for Ill-Posed Problems : With Applications to Heat Conduction
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| Title: | Optimal Methods for Ill-Posed Problems : With Applications to Heat Conduction |
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| Description: | 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 problemsLavrent'ev methods for constructing approximate solutions of linear operator equations of the first kindTikhonov regularization methodProjection-regularization methodInverse heat exchange problems |
| Authors: | Vitalii P. Tanana, Anna I. Sidikova |
| Resource Type: | eBook. |
| Subjects: | Inverse problems (Differential equations), Numerical analysis--Improperly posed problems |
| Categories: | MATHEMATICS / Differential Equations / Partial, MATHEMATICS / Applied, MATHEMATICS / Mathematical Analysis, MATHEMATICS / Numerical Analysis |
| Database: | eBook Collection (EBSCOhost) |
| Abstract: | 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 problemsLavrent'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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| ISBN: | 9783110575736 9783110575835 9783110577211 9783110577228 |
