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Titlebook: Inverse Problems; Basics, Theory and A Mathias Richter Textbook 2020Latest edition The Editor(s) (if applicable) and The Author(s), under e

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書(shū)目名稱Inverse Problems
副標(biāo)題Basics, Theory and A
編輯Mathias Richter
視頻videohttp://file.papertrans.cn/475/474681/474681.mp4
概述Provides an introduction to inverse problems that delivers a rigorous treatment of the area without requiring familiarity with functional analysis.Emphasizes numerical analysis and geophysical applica
叢書(shū)名稱Lecture Notes in Geosystems Mathematics and Computing
圖書(shū)封面Titlebook: Inverse Problems; Basics, Theory and A Mathias Richter Textbook 2020Latest edition The Editor(s) (if applicable) and The Author(s), under e
描述This textbook is an introduction to the subject of inverse problems with an emphasis on practical solution methods and applications from geophysics. The treatment is mathematically rigorous, relying on calculus and linear algebra only; familiarity with more advanced mathematical theories like functional analysis is not required. Containing up-to-date methods, this book will provide readers with the tools necessary to compute regularized solutions of inverse problems. A variety of practical examples from geophysics are used to motivate the presentation of abstract mathematical ideas, thus assuring an accessible approach..Beginning with four examples of inverse problems, the opening chapter establishes core concepts, such as formalizing these problems as equations in vector spaces and addressing the key issue of ill-posedness. Chapter Two then moves on to the discretization of inverse problems, which is a prerequisite for solving them on computers. Readers will be well-prepared for the final chapters that present regularized solutions of inverse problems in finite-dimensional spaces, with Chapter Three covering linear problems and Chapter Four studying nonlinear problems. Model probl
出版日期Textbook 2020Latest edition
關(guān)鍵詞inverse problems geophysical applications; inverse problems numerical analysis; inverse problems gravi
版次2
doihttps://doi.org/10.1007/978-3-030-59317-9
isbn_softcover978-3-030-59316-2
isbn_ebook978-3-030-59317-9Series ISSN 2730-5996 Series E-ISSN 2512-3211
issn_series 2730-5996
copyrightThe Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl
The information of publication is updating

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Characterization of Inverse Problems,n Sects. 1.3 and 1.4, we formulate four model problems from inverse gravimetry and full-waveform seismic inversion, which will be taken up in later chapters to illustrate the methods presented in this book.
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Inverse Problems978-3-030-59317-9Series ISSN 2730-5996 Series E-ISSN 2512-3211
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Lecture Notes in Geosystems Mathematics and Computinghttp://image.papertrans.cn/i/image/474681.jpg
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