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cover of the book Optimal Methods for Ill-Posed Problems: With Applications to Heat Conduction

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

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01.03.2024
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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

  • 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
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