Inverse Problems for Partial Differential Equations
Seiten
2010
|
Softcover reprint of hardcover 2nd ed. 2006
Springer-Verlag New York Inc.
978-1-4419-2054-6 (ISBN)
Springer-Verlag New York Inc.
978-1-4419-2054-6 (ISBN)
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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, ultrasonic, and magnetic measurement. By presenting the data in a readable and informative manner, the book introduces both scientific and engineering researchers as well as graduate students to the significant work done in this area in recent years, relating it to broader themes in mathematical analysis.
Inverse Problems.- Ill-Posed Problems and Regularization.- Uniqueness and Stability in the Cauchy Problem.- Elliptic Equations: Single Boundary Measurements.- Elliptic Equations: Many Boundary Measurements.- Scattering Problems.- Integral Geometry and Tomography.- Hyperbolic Problems.- Inverse parabolic problems.- Some Numerical Methods.
| Erscheint lt. Verlag | 29.11.2010 |
|---|---|
| Reihe/Serie | Applied Mathematical Sciences ; 127 |
| Zusatzinfo | biography |
| Verlagsort | New York, NY |
| Sprache | englisch |
| Maße | 156 x 234 mm |
| Gewicht | 551 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| ISBN-10 | 1-4419-2054-4 / 1441920544 |
| ISBN-13 | 978-1-4419-2054-6 / 9781441920546 |
| Zustand | Neuware |
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