A comprehensive description of the current theoretical and numerical aspects of inverse problems in partial differential equations. Applications include recovery of inclusions from anomalies of their gravity fields, reconstruction of the interior of the human body from exterior electrical, ultrasoni
Inverse Problems for Partial Differential Equations
โ Scribed by Victor Isakov (auth.)
- Publisher
- Springer New York
- Year
- 1998
- Tongue
- English
- Leaves
- 296
- Series
- Applied Mathematical Sciences 127
- Category
- Library
No coin nor oath required. For personal study only.
โฆ Table of Contents
Front Matter....Pages i-xi
Inverse Problems....Pages 1-19
Ill-Posed Problems and Regularization....Pages 20-38
Uniqueness and Stability in the Cauchy Problem....Pages 39-72
Elliptic Equations. Single Boundary Measurements....Pages 73-104
Elliptic Equations: Many Boundary Measurements....Pages 105-143
Scattering problems....Pages 144-162
Integral Geometry and Tomography....Pages 163-183
Hyperbolic Problems....Pages 184-217
Inverse parabolic problems....Pages 218-246
Some Numerical Methods....Pages 247-264
Back Matter....Pages 265-286
โฆ Subjects
Analysis;Computational Mathematics and Numerical Analysis;Theoretical, Mathematical and Computational Physics
๐ SIMILAR VOLUMES
<p><P>The topic of the inverse problems is of substantial and rapidly growing interest for many scientists and engineers. The second edition covers most important recent developments in the field of inverse problems, describing theoretical and computational methods, and emphasizing new ideas and tec
<p>This monograph is devoted to identification problems of coefficients in equations of mathematical physics. It invesitgates the existence and uniqueness of the solutions for identification coefficient problems in parabolic and hyperbolic equations and equation systems of composite type. The proble
A comprehensive description of the current theoretical and numerical aspects of inverse problems in partial differential equations. Applications include recovery of inclusions from anomalies of their gravity fields, reconstruction of the interior of the human body from exterior electrical, ultrasoni
<p><p>This third edition expands upon the earlier edition by adding nearly 40 pages of new material reflecting the analytical and numerical progress in inverse problems in last 10 years. As in the second edition, the emphasis is on new ideas and methods rather than technical improvements. These new