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Field name	Details
Dewey Class	515.35
Title	The factorization method for inverse problems ([Ebook]) / Andreas Kirsch and Natalia Grinberg.
Author	Kirsch, Andreas
Added Personal Name	Grinberg, Natalia
Other name(s)	Oxford Scholarship Online
Publication	Oxford : Oxford University Press , 2008
Physical Details	1 online resource
ISBN	9780191707629
Note	Print publication date: 2007. - Published to Oxford Scholarship Online: September 2008
Summary Note	This book is devoted to problems of shape identification in the context of (inverse) scattering problems and problems of impedance tomography. In contrast to traditional methods which are based on iterative schemes of solving sequences of corresponding direct problems, this book presents a completely different method. The Factorization Method avoids the need to solve the (time consuming) direct problems. Furthermore, no a-priori information about the type of scatterer (penetrable or impenetrable), type of boundary condition, or number of components is needed. The Factorization Method can be considered as an example of a Sampling Method. The book aims to construct a binary criterium on the known data to decide whether or not a given point z is inside or outside the unknown domain D. By choosing a grid of sampling points z in a region known to contain D, the characteristic function of D can be computed (in the case of finite data only approximately). The book also introduces some alternative Sampling Methods.:
Mode of acces to digital resource	Electronic reproduction. Oxford : Oxford University Press, 2008. - Mode of access: World Wide Web. System requirements: Internet Explorer 6.0 (or higher) or Firefox 2.0 (or higher)
System details note	Online access restricted to subscribing institutions through IP address (only for SISSA users)
Internet Site	http://dx.doi.org/10.1093/acprof:oso/9780199213535.001.0001
Links to Related Works	Subject References: Factorization (Mathematics) . Inverse problems (Differential equations) . Scattering (Mathematics) . Authors: Grinberg, Natalia . Kirsch, Andreas . Corporate Authors: Oxford Scholarship Online . Classification: 515.35 . 515.35 (DDC 23) .

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The factorization method for inverse problems

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