Tanana, Vitalii P. / Sidikova, Anna I.
Optimal Methods for Ill-Posed Problems
With Applications to Heat Conduction
Series:Inverse and Ill-Posed Problems Series 62
- A compact and up-to-date overview of optimal methods for solving ill-posed problems
- Covers error estimates and applications to heat conduction problems
- Of interest to reseachers and graduate students in applied mathematics and engineering
Aims and Scope
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.
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
Inverse heat exchange problems
- viii, 130 pages
- Type of Publication: