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Integral equations: from spectral theory to applications

✍ Scribed by David Porter, David S. G. Stirling

Book ID
127419407
Publisher
Cambridge University Press
Year
1991
Tongue
English
Weight
2 MB
Series
Cambridge Texts in Applied Mathematics
Edition
1
Category
Library
ISBN
052133151X

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✦ Synopsis

This book gives a rigorous and practical treatment of integral equations and aims to tackle the solution of integral equations using a blend of abstract structural results and more direct, down-to-earth mathematics. The interplay between these two approaches is a central feature of the text, and it allows a thorough account to be given of many of the types of integral equation that arise, particularly in numerical analysis and fluid mechanics. Because it is not always possible to find explicit solutions to the problems posed, much attention is devoted to obtaining qualitative information and approximations and the associated error estimates.

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This book gives a rigorous and practical treatment of integral equations. These are significant because they occur in many problems in mathematics, physics and engineering and they offer a powerful (sometimes the only) technique for solving these problems. The book aims to tackle the solution of int

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1. A Survey of Numerical Methods for Integral Equations.- 2. A Method for Accelerating the Iterative Solution of a Class of Fredholm Integral Equations.- 3. The Approximate Solution of Singular Integral Equations.- 4. Numerical Solution of a Class of Integral Equations Arising in Two-Dimensional Aer