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Inverse Problems = Basics, Theory and Applications in Geophysics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
正題名/作者:	Inverse Problems / by Mathias Richter.
其他題名:	Basics, Theory and Applications in Geophysics /
作者:	Richter, Mathias.
面頁冊數:	XII, 240 p. 52 illus., 32 illus. in color.online resource. :
Contained By:	Springer Nature eBook
標題:	Numerical analysis. -
電子資源:	https://doi.org/10.1007/978-3-319-48384-9
ISBN:	9783319483849

Inverse Problems = Basics, Theory and Applications in Geophysics /
Richter, Mathias.

Inverse Problems Basics, Theory and Applications in Geophysics /[electronic resource] :by Mathias Richter. - 1st ed. 2016. - XII, 240 p. 52 illus., 32 illus. in color.online resource. - Lecture Notes in Geosystems Mathematics and Computing,2730-5996. - 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:

527939
Numerical analysis.

LC Class. No.: QA297-299.4

Dewey Class. No.: 518

Inverse Problems = Basics, Theory and Applications in Geophysics /
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