Inverse Methods in Action

Modelling or Solving Inverse Problems?.- I Tomographic Inverse Problems.- Tomography with Diffusion,.- Medical Imaging: State-of-the-Art and Future Development.- Inverse Problems for Discrete Evolution Models.- Recent Developments in Electrical Impedance Tomography.- Two Inverse Problems for the Exponential Radon Transform.- Tomographic Image Reconstruction from a Limited Set of Projections Using a Natural Pixel Decomposition.- Application of the Simulated Annealing Technique to Microwave Tomography: Preliminary Results.- Elastic Wave Diffraction Tomography.- II Distributed Parameters Inverse Problems.- Non-linear Least-Square Theory for Inverse Problems.- Circulant Preconditioners for Non-negatively Constrained Deconvolution Problems.- Tikhonov Regularization of Nonlinear Differential-Algebraic Equations.- On the Choice of the Regularization Parameter Using Model Functions.- Exact Reconstruction Procedures for Some Multidimensional Inverse Scattering and Inverse Boundary Value Problems.- On the Discretization and Regularization of Selfadjoint Ill-Posed Problems.- Age Structured Population Dynamics.- Ball Stabilization in Inverse Problems.- III Spectral Inverse Problems.- Algorithms for Solving Inverse Eigenvalue Problems for Sturm-Liouville Equations.- Inverse Problem in the Coupling Constant.- Examples of Inverse Nodal Problems.- Conditions on the Data in Inverse Problems in Vibration.- An Inverse Eigenvalue Problem and an Extremal Eigenvalue Problem.- IV Scattering Inverse Problems (Exact Methods).- Scattering by Black-Hole for Electromagnetic Fields.- Phase Space and Functional Integral Methods in Direct and Inverse Scattering.- New Results on 3D Schrödinger Inverse Scattering.- Electromagnetic Inverse Problems at Low Frequencies.- Retrieval of a Time-Dependent Source in an Acoustic Propagation Problem.- Inverse Scattering Problems for the Wave Equation with Time Dependent Impurities.- Wave Splitting and the Reflection Operator for the Wave Equation.- Multidimensional Inverse Quantum Scattering Problem and Wiener-Hopf Factorization.- The Direct and Inverse Scattering Transforms for a Sturm-Liouville Equation on Finite Interval as Smooth Maps. The Geometry of a Set of Finitely-Zoned Potentials.- V Theoretical Imaging.- Application of Singular Systems to Some Data Reduction Problems in Modern Optics.- Temporal Homogenization.- Reciprocity, Discretization, and the Numerical Solution of Direct and Inverse Acoustic Radiation and Scattering Problems.- A Quadratic Inverse Problem: The Phase Retrieval.- VI Wave Propagation and Scattering Problems (Imaging and Numerical Methods).- Numerical Investigation of the Probing of Sea-Bottoms Using Exact and Approximate Methods.- Quantitative Reconstruction of Complex Permittivity Distributions by Means of Microwave Tomography.- Some Asymptotic Results on Coherent-State Matrix Elements.- Inverse Problems for Dispersive Biological Media.- Image Estimation from Scattered Field Data (at 10 GHz) Using the Distorted Wave Born Approximation and Other Prior Knowledge.- Phase Equivalence Between Nonlocal and Local Potentials Using Inversion and Supersymmetry.- Inverse Scattering Theory for Phase-Conjugate Reflection Coefficients: Application to Optical Switching.- An Inverse Problem in Propellant Combustion.- Inversion of Three-Quark Spectral Data.- Stability and Convergence in the ID Time-Dependent Problem.- Inverse Profiling for an Inhomogeneous, Plane-Stratified Lossy Causal Medium.- VII Miscellaneous Problems.- Some Remarks on the Relationship Between Mathematics and Physics and on Inverse Problems.- Variational Averaging of Problems with Stochastic Data.- Some High Energy Cross Sections from an Inverse Point of View.- Exact Shock Wave Solutions for an 8v? Discrete Boltzmann Model with Temperature.- Teaching Direct and Inverse Problems by Means of User Friendly Interfaces: A Status Report.- Quantum Inverse Scattering Theory and Nucleon-Nucleon Potentials.- Generalized Backus-Gilbert Methods.- Inversion of Ionospheric Sounding Data from an HF Backscatter Radar.- Generalized Bargmann-Type Potentials.- Rigorous Computer Solutions of Infinite-Dimensional Inverse Problems.- Seismic Waveform Inversion Using a Layer-Stripping Method.- Highly Dimensional, Highly Non-linear Inverse Problems in Geophysics.- Numerical Construction of Nonlinear Wave Train Solutions of the Periodic Korteweg-de Vries Equation.- VIII Inverse Methods and Applications to Nonlinear Problems.- The Meld Factorization in Relation to Various Problems in Mathematical Physics.- Some Ideas on Nonlinear Evolution Equations.- Painlevé Singular Manifold Equation and Integrability.- The Davey-Stewartson 1 Equation: A Class of Explicit Solutions Including the Special Case of the Dromions.- The "IST" as a Diagnostic Tool for Perturbed Nonlinear Schrödinger Systems.- Gaps of One-Dimensional Periodic AKNS Systems.- Combinatorial Aspects of Some Classes of Linearizable and Bilinearizable NLPDEs.- An Integrable Model for Small Amplitude Nonlinear Coupled Waves Produced During Laser-Plasma Interaction.- On the Spectral Theory of the Davey-Stewartson Equation.- Multidimensional Solitons in Terms of Fermions.- On the AMCP Functional Equation for the Solvable Chiral Potts Model.- Painlevé-Darboux Transformation in Nonlinear PDEs.- Solitons and Spectral Transform for the Kadomtsev-Petviashvili Equation.- Dromions, a New Manifestation in Nonlinear Phenomena.- The Phoenix Equation.- On the Dressing Method.- Index of Contributors.- Conference Program.