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100 1 a| Schuster, Thomas,d| 1971-=| ^A720088;

245 14 a| The method of approximate inverseh| [electronic resource] :b| theory and applications /c| Thomas Schuster.;

260 a| Berlin ;a| New York :b| Springer,;

300 a| xiii, 198 p. :b| ill. ;c| 24 cm.;

490 1 a| Lecture notes in mathematics,x| 0075-8434 ;v| 1906;

500 a| Revised habilitation - Universität des Saarlandes, Saarbrücken, 2004.;

504 a| Includes bibliographical references (p. [189]-195).;

505 0 a| pt. I. Inverse and semi-discrete problems -- Ill-posed problems and regularization methods -- Approximate inverse L2-spaces -- Approximate inverse in Hilbert spaces -- Approximate inverse in distribution spaces -- Conclusion and perspectives-- pt. II 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 -- pt. III Application to the spherical mean operator -- Design a mollifier -- Computation of reconstruction kernels -- Numerical experiments -- Conclusion and perspectives -- pt. IV. Further applications -- Approximate inverse and X-ray diffractometry -- A filtered back projection algorithm for thermoacoustic computerized tomography (TCT) -- Computation of reconstruction of reconstruction kernels in 3D computerized tomography -- Conclusion and perspectives.;

506 a| Available only to authorized users.;

538 a| Mode of access: World Wide Web;

650 0 a| Inverse problems (Differential equations)=| ^A53925;

650 0 a| Tomography.=| ^A5880;

650 6 a| Problèmes inverses (Équations différentielles);

650 6 a| Tomographie.;

650 17 a| Inverse problemen.2| gtt;

650 7 a| Problemas inversos.2| larpcal;

650 7 a| Análise numérica.2| larpcal;

650 7 a| Equações diferenciais.2| larpcal;

650 07 a| Approximative Inverse.2| swd;

655 0 a| Electronic books.=| ^A491897;

830 0 a| Lecture notes in mathematics (Springer-Verlag)v| 1906.=| ^A496146;

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The method of approximate inverse theory and applications / Thomas Schuster.

Author/creator	Schuster, Thomas, 1971-
Format	Electronic
Publication Info	Berlin ; New York : Springer,
Description	xiii, 198 p. : ill. ; 24 cm.
Supplemental Content	Full text available from SpringerLINK Lecture Notes in Mathematics Contemporary (1997-present)
Subjects	Inverse problems (Differential equations) Tomography. Problèmes inverses (Équations différentielles) Tomographie.

Series	Lecture notes in mathematics, 0075-8434 ; 1906 Lecture notes in mathematics (Springer-Verlag) 1906. ^A496146
Contents	pt. I. Inverse and semi-discrete problems -- Ill-posed problems and regularization methods -- Approximate inverse L2-spaces -- Approximate inverse in Hilbert spaces -- Approximate inverse in distribution spaces -- Conclusion and perspectives-- pt. II 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 -- pt. III Application to the spherical mean operator -- Design a mollifier -- Computation of reconstruction kernels -- Numerical experiments -- Conclusion and perspectives -- pt. IV. Further applications -- Approximate inverse and X-ray diffractometry -- A filtered back projection algorithm for thermoacoustic computerized tomography (TCT) -- Computation of reconstruction of reconstruction kernels in 3D computerized tomography -- Conclusion and perspectives.
General note	Revised habilitation - Universität des Saarlandes, Saarbrücken, 2004.
Bibliography note	Includes bibliographical references (p. [189]-195).
Access restriction	Available only to authorized users.
Technical details	Mode of access: World Wide Web
Genre/form	Electronic books.
LCCN	2007922352
ISBN	9783540712268 (pbk. : alk. paper)
ISBN	3540712267 (pbk. : alk. paper)

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