| 书目名称 | Inverse Problems | | 副标题 | Basics, Theory and A | | 编辑 | Mathias Richter | | 视频video | | | 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 | | 丛书名称 | Lecture Notes in Geosystems Mathematics and Computing | | 图书封面 |  | | 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 | | 关键词 | inverse problems geophysical applications; inverse problems numerical analysis; inverse problems gravi | | 版次 | 2 | | doi | https://doi.org/10.1007/978-3-030-59317-9 | | isbn_softcover | 978-3-030-59316-2 | | isbn_ebook | 978-3-030-59317-9Series ISSN 2730-5996 Series E-ISSN 2512-3211 | | issn_series | 2730-5996 | | copyright | The Editor(s) (if applicable) and The Author(s), under exclusive license to Springer Nature Switzerl |
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发表于 2025-3-21 18:23:54
