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Inverse problemsbasics, theory and a...

Richter, Mathias.

Inverse problemsbasics, theory and applications in geophysics /

紀錄類型:	書目-電子資源 : Monograph/item
正題名/作者:	Inverse problemsby Mathias Richter.
其他題名:	basics, theory and applications in geophysics /
作者:	Richter, Mathias.
出版者:	Cham :Springer International Publishing :2016.
面頁冊數:	xii, 240 p. :ill. (some col.), digital ;24 cm.
Contained By:	Springer eBooks
標題:	Inverse problems (Differential equations)
電子資源:	http://dx.doi.org/10.1007/978-3-319-48384-9
ISBN:	9783319483849$q(electronic bk.)

Inverse problemsbasics, 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$q(electronic bk.)

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

189581
Inverse problems (Differential equations)

LC Class. No.: QA371

Dewey Class. No.: 515.357

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