國立虎尾科技大學 |

Inverse problems = basics, theory and applications in geophysics /

Record Type:	Language materials, printed : Monograph/item
Title/Author:	Inverse problems/ by Mathias Richter.
Reminder of title:	basics, theory and applications in geophysics /
Author:	Richter, Mathias.
Published:	Cham :Springer International Publishing : : 2016.,
Description:	xii, 240 p. :ill. (some col.), digital ; : 24 cm.;
Contained By:	Springer eBooks
Subject:	Inverse problems (Differential equations) -
Online resource:	http://dx.doi.org/10.1007/978-3-319-48384-9
ISBN:	9783319483849

Inverse problems = basics, theory and applications in geophysics /
Richter, Mathias.

Inverse problemsbasics, theory and applications in geophysics /[electronic resource] :by Mathias Richter. - Cham :Springer International Publishing :2016. - xii, 240 p. :ill. (some col.), digital ;24 cm. - Lecture notes in geosystems mathematics and computing. - Lecture notes in geosystems mathematics and computing..

1.Characterization of Inverse Problems -- 2.Discretization of Inverse Problems -- 3.Regularization of Linear Inverse Problems -- 4.Regularization of Nonlinear Inverse Problems -- Appendix: A.Results from Linear Algebra -- B.Function Spaces -- C.The Fourier Transform -- D.Proofs of Theorems from Chapter 3.

The overall goal of the book is to provide access to the regularized solution of inverse problems relevant in geophysics without requiring more mathematical knowledge than is taught in undergraduate math courses for scientists and engineers. From abstract analysis only the concept of functions as vectors is needed. Function spaces are introduced informally in the course of the text, when needed. Additionally, a more detailed, but still condensed introduction is given in Appendix B. A second goal is to elaborate the single steps to be taken when solving an inverse problem: discretization, regularization and practical solution of the regularized optimization problem. These steps are shown in detail for model problems from the fields of inverse gravimetry and seismic tomography. The intended audience is mathematicians, physicists and engineers having a good working knowledge of linear algebra and analysis at the upper undergraduate level.

ISBN: 9783319483849

Standard No.: 10.1007/978-3-319-48384-9doiSubjects--Topical Terms:

528596
Inverse problems (Differential equations)

LC Class. No.: QA371

Dewey Class. No.: 515.357

Inverse problems = basics, theory and applications in geophysics /
LDR:02317nam a2200337 a 4500 001 868312
003 DE-He213
005 20161125164745.0
006 m d
007 cr nn 008maaau
008 170720s2016 gw s 0 eng d
020 $a 9783319483849 $q (electronic bk.)
020 $a 9783319483832 $q (paper)
024 7 $a 10.1007/978-3-319-48384-9 $2 doi
035 $a 978-3-319-48384-9
040 $a GP $c GP
041 0 $a eng
050 4 $a QA371
072 7 $a PBKS $2 bicssc
072 7 $a MAT021000 $2 bisacsh
072 7 $a MAT006000 $2 bisacsh
082 0 4 $a 515.357 $2 23
090 $a QA371 $b .R536 2016
100 1 $a Richter, Mathias. $3 1115841
245 1 0 $a Inverse problems $h [electronic resource] : $b basics, theory and applications in geophysics / $c by Mathias Richter.
260 $a Cham : $c 2016. $b Springer International Publishing : $b Imprint: Birkhauser,
300 $a xii, 240 p. : $b ill. (some col.), digital ; $c 24 cm.
490 1 $a Lecture notes in geosystems mathematics and computing
505 0 $a 1.Characterization of Inverse Problems -- 2.Discretization of Inverse Problems -- 3.Regularization of Linear Inverse Problems -- 4.Regularization of Nonlinear Inverse Problems -- Appendix: A.Results from Linear Algebra -- B.Function Spaces -- C.The Fourier Transform -- D.Proofs of Theorems from Chapter 3.
520 $a The overall goal of the book is to provide access to the regularized solution of inverse problems relevant in geophysics without requiring more mathematical knowledge than is taught in undergraduate math courses for scientists and engineers. From abstract analysis only the concept of functions as vectors is needed. Function spaces are introduced informally in the course of the text, when needed. Additionally, a more detailed, but still condensed introduction is given in Appendix B. A second goal is to elaborate the single steps to be taken when solving an inverse problem: discretization, regularization and practical solution of the regularized optimization problem. These steps are shown in detail for model problems from the fields of inverse gravimetry and seismic tomography. The intended audience is mathematicians, physicists and engineers having a good working knowledge of linear algebra and analysis at the upper undergraduate level.
650 0 $a Inverse problems (Differential equations) $3 528596
650 0 $a Geophysics $x Mathematics. $3 670755
650 1 4 $a Mathematics. $3 527692
650 2 4 $a Numerical Analysis. $3 671433
650 2 4 $a Numerical and Computational Physics, Simulation. $3 1112293
650 2 4 $a Geophysics/Geodesy. $3 668510
710 2 $a SpringerLink (Online service) $3 593884
773 0 $t Springer eBooks
830 0 $a Lecture notes in geosystems mathematics and computing. $3 1067377
856 4 0 $u http://dx.doi.org/10.1007/978-3-319-48384-9
950 $a Mathematics and Statistics (Springer-11649)