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The Factorization Method for Inverse Problems.

The Factorization Method for Inverse Problems.

・ISBN 978-0-19-921353-5 hard GB£ 112.50

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電子版あり 大学・学術機関向け電子ブック(eBook)ISBN 978-0-19-170762-9

著者・編者Kirsch, Andreas / Grinberg, Natalia,
シリーズOxford Lecture Series in Mathematics and Its Applications
出版社(Oxford University Press, UK)
出版年月2007
ページ数216 pp.
言語ENG
ニュース番号<M25-12411>

解説

The factorization method is a relatively new method for solving certain types of inverse scattering problems and problems in tomography. Aimed at students and researchers in Applied Mathematics, Physics and Engineering, this text introduces the reader to this promising approach for solving important classes of inverse problems. The wide applicability of this method is discussed by choosing typical examples, such as inverse scattering problems for the scalar Helmholtz equation, a scattering problem for Maxwell's equation, and a problem in impedance and optical tomography. The last section of the book compares the Factorization Method to established sampling methods (the Linear Sampling Method, the Singular Source Method, and the Probe Method).