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This work is a collection of papers on electromagnetic nondestructive evaluation. It discusses developments in the growing field of electromagnetic nondestructive evaluation methods. Topics include evaluation of degradation mechanism in magnetic materials.

Nondestructive testing --- Magnetic testing --- Eddy currents (Electric) --- Electric currents --- Capteurs, senseurs, detecteurs --- Essai de materiaux electromagnetiques --- Problemes inverses (physique theorique)

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Spectral theory of bounded linear operators teams up with von Neumann’s theory of unbounded operators in this monograph to provide a general framework for the study of stable methods for the evaluation of unbounded operators. An introductory chapter provides numerous illustrations of unbounded linear operators that arise in various inverse problems of mathematical physics. Before the general theory of stabilization methods is developed, an extensive exposition of the necessary background material from the theory of operators on Hilbert space is provided. Several specific stabilization methods are studied in detail, with particular attention to the Tikhonov-Morozov method and its iterated version.

Operatortheorie. --- Numerieke methoden. --- Linear operators. --- Inverse problems (Differential equations) --- Operator theory. --- Approximation theory. --- Opérateurs linéaires --- Problèmes inversés (Equations différentielles) --- Théorie des opérateurs --- Théorie de l'approximation --- Algebras, Linear. --- Electronic books. -- local. --- Linear operators --- Operator theory --- Approximation theory --- Mathematical Theory --- Calculus --- Mathematics --- Physical Sciences & Mathematics --- Linear algebra --- Linear maps --- Maps, Linear --- Operators, Linear --- Mathematics. --- Numerical analysis. --- Operator Theory. --- Numerical Analysis. --- Mathematical analysis --- Functional analysis --- Math --- Science --- Algebra, Universal --- Generalized spaces --- Calculus of operations --- Line geometry --- Topology --- Problèmes inversés (Équations différentielles) --- Opérateurs, Théorie des. --- Opérateurs linéaires. --- Approximation, Théorie de l'. --- Differential equations --- Theory of approximation --- Functions --- Polynomials --- Chebyshev systems

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Inverse scattering theory has been a particularly active and successful field in applied mathematics and engineering for the past twenty years. The increasing demands of imaging and target identification require new powerful and flexible techniques besides the existing weak scattering approximation or nonlinear optimization methods. One class of such methods comes under the general description of qualitative methods in inverse scattering theory. This textbook is an easily-accessible "class-tested" introduction to the field. It is accessible also to readers who are not professional mathematicians, thus making these new mathematical ideas in inverse scattering theory available to the wider scientific and engineering community.

Inverse problems (Differential equations) --- Scattering (Mathematics) --- Qualitative research. --- Problèmes inversés (Equations différentielles) --- Dispersion (Mathématiques) --- Recherche qualitative --- Engineering. --- Mathematics. --- Electrodynamics. --- Engineering mathematics. --- Materials. --- Appl.Mathematics/Computational Methods of Engineering. --- Applications of Mathematics. --- Continuum Mechanics and Mechanics of Materials. --- Classical Electrodynamics, Wave Phenomena. --- Electronic and Computer Engineering. --- Differential equations --- Calculus --- Applied Mathematics --- Civil Engineering --- Engineering & Applied Sciences --- Civil & Environmental Engineering --- Mathematics --- Physical Sciences & Mathematics --- Qualitative theory --- Qualitative theory. --- Scattering theory (Mathematics) --- 517.91 Differential equations --- Mathematical analysis. --- Analysis (Mathematics). --- Applied mathematics. --- Optics. --- Continuum mechanics. --- Electrical engineering. --- Analysis. --- Optics and Electrodynamics. --- Electrical Engineering. --- Electric engineering --- Engineering --- Mechanics of continua --- Elasticity --- Mechanics, Analytic --- Field theory (Physics) --- Dynamics --- Physics --- Light --- Engineering analysis --- Mathematical analysis --- 517.1 Mathematical analysis --- Math --- Science --- Boundary value problems --- Differential equations, Partial --- Scattering operator --- Global analysis (Mathematics). --- Mechanics. --- Mechanics, Applied. --- Computer engineering. --- Mathematical and Computational Engineering. --- Solid Mechanics. --- Classical Electrodynamics. --- Computers --- Classical mechanics --- Newtonian mechanics --- Quantum theory --- Applied mechanics --- Engineering, Mechanical --- Engineering mathematics --- Analysis, Global (Mathematics) --- Differential topology --- Functions of complex variables --- Geometry, Algebraic --- Design and construction