Call number:
AWI G8-96-0082
In:
Mathematical research
Description / Table of Contents:
Contents: Preface. - General considerations regarding inverse and related problems. - Basic principles of inverse problems. - A regularization method for the moment problem. - Decomposition principles for linear source problems. - Pseudo-harmonic analysis of gravity gradients in space: regional geopotential recovery from gravity gradiometry data. - An approach to inverse problems based on [epsilon]-Entropy. - The inverse problem of algebroprojective photogrammetry. - The monitoring of human or animal bone marrow by electromagnetic waves. - Inversion from redundant data. - The geoid as an inverse problem to be regularized. - The identifiability of the unknown parameters in Quasilinear and linear differential equations. - Regularization of nonlinear problems and the degree of Ill-posedness. - Regularization for high resoulution gravity field recovery by future satellite techniques. - Prospecting discontinuities by boundary measurements. - Causes of temporal variations of earth rotation. - New approaches to inverse problems in vibrational spectroscopy. - Zeros of non-negative sub-biharmonic functions and extremal problems in the inverse source problem for the biharmonic potential. - Inverse obstacle scattering. - Maximum entropy distributions for mass anomalies inside the earth subject to spectral gravity field constraints. - Tomography with few data. - On the approximate solution of Illposed Cauchy problems for parabolic equations. - On-line inversion of control systems. - Impedance tomography and layer stripping. - Sounding for underground gas sources by surface physico-chemical methods.
Description / Table of Contents:
In science, technology, and medicine one is constantly confronted with the necessity to interprete measurements. Such interpretation is particularly difficult in geophysics, medicine, and astrophysics. The problem is here to determine, on the basis of the measured data, internal parameters inaccessible to measurement. Such problems are briefly called inverse problems; in medicine and technology the term diagnostics is also frequently used. Inverse problems are rarely easy, usually difficult, sometimes unsolvable, but always fascinating. Since 1980 great progress has been made in inverse problems. The volume presents the general results of a unique attempt to bring together mathematicians and specialists from many fields of applications. Inverse problems may be considered among the pressing problems of current mathematical research. Fundamental research for such problems is highly necessary.
Type of Medium:
Monograph available for loan
Pages:
328 S. : graph. Darst
Edition:
1. ed
ISBN:
3055015797
Series Statement:
Mathematical research 74
Branch Library:
AWI Library
