Optimal Methods for Ill-Posed Problems: With Applications to Heat Conduction

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

• 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