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Inverse problems for partial differential equations 3ed
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Inverse problems for partial differential equations 3ed

Inverse problems for partial differential equations 3ed

Isakov - Collection Yellow Sale 2024

Résumé

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.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 and Stationary Waves.- Integral Geometry and Tomography.- Hyperbolic Problems.- Inverse Parabolic Problems.- Some Numerical Methods.- Appendix: Functional Spaces.

Caractéristiques techniques

  PAPIER
Éditeur(s) Springer
Auteur(s) Isakov
Collection Yellow Sale 2024
EAN13 9783319516578

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