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Inverse problems[electronic resource] :basics, theory and applications in geophysics /

紀錄類型:	書目-語言資料,印刷品 : Monograph/item
杜威分類號:	515.357
書名/作者:	Inverse problems : basics, theory and applications in geophysics // by Mathias Richter.
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) - Congresses.
標題:	Geophysics - Mathematics.
標題:	Mathematics.
標題:	Numerical Analysis.
標題:	Numerical and Computational Physics, Simulation.
標題:	Geophysics/Geodesy.
ISBN:	9783319483849
ISBN:	9783319483832
內容註:	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.
摘要、提要註:	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.
電子資源:	http://dx.doi.org/10.1007/978-3-319-48384-9

Inverse problems[electronic resource] :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:

486545
Inverse problems (Differential equations)
--Congresses.

LC Class. No.: QA371

Dewey Class. No.: 515.357

Inverse problems[electronic resource] :basics, theory and applications in geophysics /
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