Surveys on Solution Methods for Inverse Problems

David Colton, Heinz W. Engl, Alfred K. Louis, Joyce McLaughlin, William Rundell (Herausgeber)

Buch | Softcover

V, 275 Seiten

2000 | 1. Softcover reprint of the original 1st ed. 2000
Springer Wien (Verlag)
978-3-211-83470-1 (ISBN)

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Inverse problems are concerned with determining causes for observed or desired effects. Problems of this type appear in many application fields both in science and in engineering. The mathematical modelling of inverse problems usually leads to ill-posed problems, i.e., problems where solutions need not exist, need not be unique or may depend discontinuously on the data. For this reason, numerical methods for solving inverse problems are especially difficult, special methods have to be developed which are known under the term "regularization methods". This volume contains twelve survey papers about solution methods for inverse and ill-posed problems and about their application to specific types of inverse problems, e.g., in scattering theory, in tomography and medical applications, in geophysics and in image processing. The papers have been written by leading experts in the field and provide an up-to-date account of solution methods for inverse problems.

Convergence Rates Results for Iterative Methods for Solving Nonlinear III-Posed Problems.- Iterative Regularization Techniques in Image Reconstruction.- A Survey of Regularization Methods for First-Kind Volterra Equations.- Layer Stripping.- The Linear Sampling Method in Inverse Scattering Theory.- Carleman Estimates and Inverse Problems in the Last Two Decades.- Local Tomographic Methods in Sonar.- Efficient Methods in Hyperthermia Treatment Planning.- Solving Inverse Problems with Spectral Data.- Low Frequency Electromagnetic Fields in High Contrast Media.- Inverse Scattering in Anisotropic Media.- Inverse Problems as Statistics.

Erscheint lt. Verlag	23.5.2000
Zusatzinfo	V, 275 p.
Verlagsort	Vienna
Sprache	englisch
Gewicht	540 g
Themenwelt	Mathematik / Informatik ► Informatik ► Theorie / Studium
	Mathematik / Informatik ► Mathematik ► Analysis
	Mathematik / Informatik ► Mathematik ► Angewandte Mathematik
	Mathematik / Informatik ► Mathematik ► Logik / Mengenlehre
	Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
Schlagworte	Geophysics • ill-posed problems • Image Processing • Inverse Scattering Theory • regularization methods • scattering theory • Tomography
ISBN-10	3-211-83470-2 / 3211834702
ISBN-13	978-3-211-83470-1 / 9783211834701
Zustand	Neuware