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Inverse Problems

  • Kartonierter Einband
  • 196 Seiten
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The present volume contains manuscripts of lectures or topics related to the lectures which were given at the conference on "... Weiterlesen
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Beschreibung

The present volume contains manuscripts of lectures or topics related to the lectures which were given at the conference on "Inverse Problems" at the mathematical Research Institute at Oberwolfach. The conference took place during the week of May 18-24, 1986, and was managed by the editors. Recalling Professor Joseph Keller's paper entitled Inverse Problems, American Mathematical Monthly, 83 (1976), we give two direct quotes. "We call two problems inverses of one another if the formulation of each involves all or part of the solution of the other. Often, for historical reasons, one of the two problems has been studied extensively for some time, while the other is newer and not so well understood. In such cases, the former is called the direct problem, while the latter is called the inverse problem. " "The main sources of inverse problems are science and engineering. Often these problems concern the determination of the properties of some inaccess ible regions from observations on the boundary of that region. " Often, inverse problems are not well posed. This increases the difficulty in their analysis and numerical solution. As can be seen from the table of content of this volume, the conference covered inverse problems in scattering theory, seismology, tomography, estimation of coefficients and source terms in parabolic and elliptic differential equations, the inverse Sturm-Liouville problem, and numerical methods. The editors wish to thank Professor M. Barner and his co-workers of the Mathematical Research Institute for their help in creating the conference.

Inhalt

The linear functional strategy for improperly posed problems.- Determination of a source term in a linear parabolic differential equation with mixed boundary conditions.- Inverse problems for parabolic partial differential equations.- Three-dimensional inverse scattering.- On isospectral gradient flows - solving matrix eigenproblems using differential equations.- On an integral equation of the first kind in inverse acoustic scattering.- Approximation of discrete probability distributions in spherical stereology.- Parameter estimation for distributed systems arising in fluid flow problems via time series methods.- Analytic solutions to the inverse problem of the Newtonian potential.- A note on an inverse problem related to the 3-D heat equation.- Undetermined coefficient problems for nonlinear elliptic and parabolic equations.- The method of 'generalized interpolation' for approximate solution of ill-posed problems.- Gel'fand-Levitan's theory and related inverse problems.- Reconstruction ambiguities of inverse scattering on the line.

Produktinformationen

Titel: Inverse Problems
Untertitel: Proceedings of the Conference held at the Mathematical Research Institute at Oberwolfach, Black Forest, May 18-24,1986
Autor:
EAN: 9783034870160
ISBN: 3034870167
Format: Kartonierter Einband
Anzahl Seiten: 196
Gewicht: 347g
Größe: H244mm x B170mm x T10mm
Jahr: 2012
Auflage: Softcover reprint of the original 1st ed. 1986

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