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Introduction to Inverse Problems for Differential Equations (Hardcover, 2nd ed. 2021)
Loot Price: R4,074
Discovery Miles 40 740
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Introduction to Inverse Problems for Differential Equations (Hardcover, 2nd ed. 2021)
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Total price: R4,094
Discovery Miles: 40 940
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This book presents a systematic exposition of the main ideas and
methods in treating inverse problems for PDEs arising in basic
mathematical models, though it makes no claim to being exhaustive.
Mathematical models of most physical phenomena are governed by
initial and boundary value problems for PDEs, and inverse problems
governed by these equations arise naturally in nearly all branches
of science and engineering. The book's content, especially in the
Introduction and Part I, is self-contained and is intended to also
be accessible for beginning graduate students, whose mathematical
background includes only basic courses in advanced calculus, PDEs
and functional analysis. Further, the book can be used as the
backbone for a lecture course on inverse and ill-posed problems for
partial differential equations. In turn, the second part of the
book consists of six nearly-independent chapters. The choice of
these chapters was motivated by the fact that the inverse
coefficient and source problems considered here are based on the
basic and commonly used mathematical models governed by PDEs. These
chapters describe not only these inverse problems, but also main
inversion methods and techniques. Since the most distinctive
features of any inverse problems related to PDEs are hidden in the
properties of the corresponding solutions to direct problems,
special attention is paid to the investigation of these properties.
For the second edition, the authors have added two new chapters
focusing on real-world applications of inverse problems arising in
wave and vibration phenomena. They have also revised the whole text
of the first edition.
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