Surveys on Solution Methods for Inverse Problems
Contributors: David Colton (Editor); Heinz W. Engl (Editor); Alfred K. Louis (Editor); Joyce R. McLaughlin (Editor); William Rundell (Editor)
Edition: 1 edition
Publisher: Springer
Published: June 20, 2000
Language: eng
Format: Paperback
Number of pages: 275
ISBN-13: 9783211834701
Subjects: Mathematical logic; Probability & Statistics - General; General; Differential Equations; Numerical Analysis; Mathematics; Science/Mathematics; Number Systems; Mathematical Analysis; Applied; Ill-posed problems; Mathematics / Number Systems; geophysics; image processing; regularization methods; scattering theory; tomography
First sentence: It has only been since the mid-1960s that inverse problems has been identified as a proper subfield of mathematics.
Description: 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.