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Inverse Problems for Partial Differential Equations

By: Isakov, Victor [author.].
Contributor(s): SpringerLink (Online service).
Material type: materialTypeLabelBookSeries: Applied Mathematical Sciences: 127Publisher: New York, NY : Springer New York, 2006.Edition: Second Edition.Description: XIV, 346 p. online resource.Content type: text Media type: computer Carrier type: online resourceISBN: 9780387321837.Subject(s): Mathematics | Mathematical analysis | Analysis (Mathematics) | Computer mathematics | Physics | Mathematics | Analysis | Computational Mathematics and Numerical Analysis | Theoretical, Mathematical and Computational PhysicsDDC classification: 515 Online resources: Click here to access online
Contents:
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.
In: Springer eBooksSummary: 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 techniques. It also reflects new changes since the first edition, including some corrections. This edition is considerably expanded, with some concepts such as pseudo-convexity, and proofs simplified. New material is added to reflect recent progress in theory of inverse problems. This book is intended for mathematicians working with partial differential equations and their applications, and physicists, geophysicists and engineers involved with experiments in nondestructive evaluation, seismic exploration, remote sensing and tomography.
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Item type Current location Call number Status Date due Barcode Item holds
E books E books PK Kelkar Library, IIT Kanpur
Available EBK7739
Total holds: 0

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.

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 techniques. It also reflects new changes since the first edition, including some corrections. This edition is considerably expanded, with some concepts such as pseudo-convexity, and proofs simplified. New material is added to reflect recent progress in theory of inverse problems. This book is intended for mathematicians working with partial differential equations and their applications, and physicists, geophysicists and engineers involved with experiments in nondestructive evaluation, seismic exploration, remote sensing and tomography.

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