A comprehensive, up-to-date, and accessible introduction to the numerical solution of a large class of integral equations, this book builds an important foundation for the numerical analysis of these equations. It provides a general framework for the degenerate kernel, projection, and Nyström methods and includes an introduction to the numerical solution of boundary integral equations (also known as boundary element methods). It is an excellent resource for graduate students and researchers trying to solve integral equation problems and for engineers using boundary element methods.
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Editorial Reviews
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' This outstanding monograph ... represents a major milestone in the list of books on the numerical solution of integral equations ... deserves to be on the shelf of any researcher and graduate student interested in the numerical solution of elliptic boundary-value problems.' H. Brunner, Mathematics Abstracts 'It will become the standard reference in the area.' Zietschrift fur Angwandte Mathematik und Physik
Book Description
A comprehensive, up-to-date, and highly-readable introduction to the numerical solution of a large class of integral equations, this book lays an important foundation for the numerical analysis of these equations. It provides a general framework for the degenerate kernel, projection, and Nyström methods and includes an introduction to the numerical solution of boundary integral equations (also known as boundary element methods). It is an excellent resource for graduate students and researchers trying to solve intergral equation problems and for engineers using boundary element methods.
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1.0 out of 5 stars
Very poor quality binding,
By academic reader (South Africa) - See all my reviews
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This review is from: The Numerical Solution of Integral Equations of the Second Kind (Cambridge Monographs on Applied and Computational Mathematics) (Hardcover)
The binding of this book is a glue-only construction of extremely low quality --- no stitching, just a stack of pages glued together. The book cannot lie open, nor close properly. Print quality is also very low. The lack of quality in construction of this book is not consistent with its price.
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Inside This Book
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First Sentence:
The theory and application of integral equations is an important subject within applied mathematics. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
collocation node points, discrete collocation methods, geometric series theorem, kind boundary integral equations, quadrature node points, numerical integral operator, degenerate kernel methods, iterated collocation solution, odd function property, symmetric triangulations, degenerate kernel approximation, solving boundary integral equations, double layer potential equation, equation reformulations, collectively compact operator approximations, wedge operator, using piecewise linear interpolation, given boundary function, parametrization functions, collective compactness, interpolatory projection, piecewise polynomial collocation, piecewise quadratic interpolation, original integral equation, boundary integral operators Key Phrases - Capitalized Phrases (CAPs): (learn more)
Examples of Galerkin New!
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Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
The theory and application of integral equations is an important subject within applied mathematics. Read the first page Key Phrases - Statistically Improbable Phrases (SIPs): (learn more)
collocation node points, discrete collocation methods, geometric series theorem, kind boundary integral equations, quadrature node points, numerical integral operator, degenerate kernel methods, iterated collocation solution, odd function property, symmetric triangulations, degenerate kernel approximation, solving boundary integral equations, double layer potential equation, equation reformulations, collectively compact operator approximations, wedge operator, using piecewise linear interpolation, given boundary function, parametrization functions, collective compactness, interpolatory projection, piecewise polynomial collocation, piecewise quadratic interpolation, original integral equation, boundary integral operators Key Phrases - Capitalized Phrases (CAPs): (learn more)
Examples of Galerkin New!
Books on Related Topics | Concordance | Text Stats Browse Sample Pages:
Front Cover | Table of Contents | First Pages | Index | Back Cover | Surprise Me!
Citations (learn more)
This book cites 95
books:
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30
books
cite this book:
See all 30 books citing this book
- Numerical Solution of Integral Equations (Mathematical Concepts and Methods in Science and Engineering) by Michael A. Golberg on 5 pages
- Partial Differential Equations (Applied Mathematical Sciences) (v. 1) by Fritz John on 5 pages
- Treatment of Integral Equations by Numerical Methods by Christopher T. H. Baker in Back Matter (1), Back Matter (2), and Back Matter (3)
- The State of the Art in Numerical Analysis (Institute of Mathematics and Its Applications Conference Series New Series) by A. Iserles in Back Matter (1), Back Matter (2), and Back Matter (3)
- Numerical Analysis 1999 (Chapman & Hall/CRC Research Notes in Mathematics Series) by G.A. Watson in Back Matter (1), Back Matter (2), and Back Matter (3)
See all 95 books this book cites
- Collocation Methods for Volterra Integral and Related Functional Differential Equations (Cambridge Monographs on Applied and Computational Mathematics) by Hermann Brunner in Front Matter, and Back Matter
- Ordinary Differential Equations and Integral Equations, Volume 6 (Numerical Analysis 2000) by C.T.H. Baker on page 435, and page 458
- The Theory of Composites (Cambridge Monographs on Applied and Computational Mathematics) by Graeme W. Milton in Front Matter
- Practical Extrapolation Methods: Theory and Applications (Cambridge Monographs on Applied and Computational Mathematics) by Avram Sidi in Front Matter
- Reviews in Fluorescence 2004 by Chris D. Geddes on page 333
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