Numerical Methods for Solving Inverse Problems of Mathematical Physics
โ Scribed by Samarskii, A. A.
- Publisher
- Walter de Gruyter
- Year
- 2007
- Tongue
- English
- Leaves
- 453
- Series
- Inverse and Ill-Posed Problems
- Edition
- 1
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Synopsis
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.
โฆ Table of Contents
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
๐ SIMILAR VOLUMES
<p>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.</p>
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.
Developing an approach to the question of existence, uniqueness and stability of solutions, this work presents a systematic elaboration of the theory of inverse problems for all principal types of partial differential equations. It covers up-to-date methods of linear and nonlinear analysis, the theo