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Numerical Methods for Solving Inverse Problems of Mathematical Physics (Inverse and Ill-Posed Problems)

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The main classes of inverse problems for equations of mathematical physics and their numerical solution methods are considered in this book which is intended for graduate students and experts in applied mathematics, computational mathematics, and mathematical modelling.

Author(s): Alexander A. Samarskii, Peter N. Vabishchevich
Series: Inverse and Ill-Posed Problems
Edition: 1
Publisher: Walter de Gruyter
Year: 2007

Language: English
Pages: 453
Tags: Математика;Математическая физика;

Frontmatter......Page 2
Contents......Page 10
1 Inverse mathematical physics problems......Page 16
2 Boundary value problems for ordinary differential equations......Page 34
3 Boundary value problems for elliptic equations......Page 64
4 Boundary value problems for parabolic equations......Page 105
5 Solution methods for ill-posed problems......Page 142
6 Right-hand side identification......Page 172
7 Evolutionary inverse problems......Page 255
8 Other problems......Page 360
Backmatter......Page 450