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The Method of Approximate Inverse: Theory and Applications (Record no. 12157)

MARC details
000 -LEADER
fixed length control field	04008nam a22005175i 4500
001 - CONTROL NUMBER
control field	978-3-540-71227-5
003 - CONTROL NUMBER IDENTIFIER
control field	DE-He213
005 - DATE AND TIME OF LATEST TRANSACTION
control field	20190213151851.0
007 - PHYSICAL DESCRIPTION FIXED FIELD--GENERAL INFORMATION
fixed length control field	cr nn 008mamaa
008 - FIXED-LENGTH DATA ELEMENTS--GENERAL INFORMATION
fixed length control field	111207s2007 gw \| s \|\|\|\| 0\|eng d
020 ## - INTERNATIONAL STANDARD BOOK NUMBER
International Standard Book Number	9783540712275
--	978-3-540-71227-5
024 7# - OTHER STANDARD IDENTIFIER
Standard number or code	10.1007/978-3-540-71227-5
Source of number or code	doi
050 #4 - LIBRARY OF CONGRESS CALL NUMBER
Classification number	QA184-205
072 #7 - SUBJECT CATEGORY CODE
Subject category code	PBF
Source	bicssc
072 #7 - SUBJECT CATEGORY CODE
Subject category code	MAT002050
Source	bisacsh
072 #7 - SUBJECT CATEGORY CODE
Subject category code	PBF
Source	thema
082 04 - DEWEY DECIMAL CLASSIFICATION NUMBER
Classification number	512.5
Edition number	23
100 1# - MAIN ENTRY--PERSONAL NAME
Personal name	Schuster, Thomas.
Relator term	author.
Relator code	aut
--	http://id.loc.gov/vocabulary/relators/aut
245 14 - TITLE STATEMENT
Title	The Method of Approximate Inverse: Theory and Applications
Medium	[electronic resource] /
Statement of responsibility, etc	by Thomas Schuster.
264 #1 -
--	Berlin, Heidelberg :
--	Springer Berlin Heidelberg,
--	2007.
300 ## - PHYSICAL DESCRIPTION
Extent	XIV, 202 p. 35 illus.
Other physical details	online resource.
336 ## -
--	text
--	txt
--	rdacontent
337 ## -
--	computer
--	c
--	rdamedia
338 ## -
--	online resource
--	cr
--	rdacarrier
347 ## -
--	text file
--	PDF
--	rda
490 1# - SERIES STATEMENT
Series statement	Lecture Notes in Mathematics,
International Standard Serial Number	0075-8434 ;
Volume number/sequential designation	1906
505 0# - FORMATTED CONTENTS NOTE
Formatted contents note	Inverse and Semi-discrete Problems -- Ill-posed problems and regularization methods -- Approximate inverse in L 2-spaces -- Approximate inverse in Hilbert spaces -- Approximate inverse in distribution spaces -- Conclusion and perspectives -- Application to 3D Doppler Tomography -- A semi-discrete setup for Doppler tomography -- Solving the semi-discrete problem -- Convergence and stability -- Approaches for defect correction -- Conclusion and perspectives -- Application to the spherical mean operator -- The spherical mean operator -- Design of a mollifier -- Computation of reconstruction kernels -- Numerical experiments -- Conclusion and perspectives -- Further Applications -- Approximate inverse and X-ray diffractometry -- A filtered backprojection algorithm -- Computation of reconstruction kernels in 3D computerized tomography -- Conclusion and perspectives.
520 ## - SUMMARY, ETC.
Summary, etc	Inverse problems arise whenever one tries to calculate a required quantity from given measurements of a second quantity that is associated to the first one. Besides medical imaging and non-destructive testing, inverse problems also play an increasing role in other disciplines such as industrial and financial mathematics. Hence, there is a need for stable and efficient solvers. The book is concerned with the method of approximate inverse which is a regularization technique for stably solving inverse problems in various settings such as L2-spaces, Hilbert spaces or spaces of distributions. The performance and functionality of the method is demonstrated on several examples from medical imaging and non-destructive testing such as computerized tomography, Doppler tomography, SONAR, X-ray diffractometry and thermoacoustic computerized tomography. The book addresses graduate students and researchers interested in the numerical analysis of inverse problems and regularization techniques or in efficient solvers for the applications mentioned above.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Matrix theory.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Differential equations, partial.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Integral equations.
650 #0 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Numerical analysis.
650 14 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Linear and Multilinear Algebras, Matrix Theory.
--	http://scigraph.springernature.com/things/product-market-codes/M11094
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Partial Differential Equations.
--	http://scigraph.springernature.com/things/product-market-codes/M12155
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Integral Equations.
--	http://scigraph.springernature.com/things/product-market-codes/M12090
650 24 - SUBJECT ADDED ENTRY--TOPICAL TERM
Topical term or geographic name as entry element	Numerical Analysis.
--	http://scigraph.springernature.com/things/product-market-codes/M14050
710 2# - ADDED ENTRY--CORPORATE NAME
Corporate name or jurisdiction name as entry element	SpringerLink (Online service)
773 0# - HOST ITEM ENTRY
Title	Springer eBooks
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text	Printed edition:
International Standard Book Number	9783540836032
776 08 - ADDITIONAL PHYSICAL FORM ENTRY
Display text	Printed edition:
International Standard Book Number	9783540712268
830 #0 - SERIES ADDED ENTRY--UNIFORM TITLE
Uniform title	Lecture Notes in Mathematics,
--	0075-8434 ;
Volume number/sequential designation	1906
856 40 - ELECTRONIC LOCATION AND ACCESS
Uniform Resource Identifier	https://doi.org/10.1007/978-3-540-71227-5
912 ## -
--	ZDB-2-SMA
912 ## -
--	ZDB-2-LNM

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