# Computational Methods For Integral Equations

by L. M. Delves /
1988 / English / PDF

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Integral equations form an important class of problems, arising
frequently in engineering, and in mathematical and scientific
analysis. This textbook provides a readable account of techniques
for their numerical solution. The authors devote their attention
primarily to efficient techniques using high order approximations,
taking particular account of situations where singularities are
present. The classes of problems which arise frequently in
practice, Fredholm of the first and second kind and eigenvalue
problems, are dealt with in depth. Volterra equations, although
attractive to treat theoretically, arise less often in practical
problems and so have been given less emphasis. Some knowledge of
numerical methods and linear algebra is assumed, but the book
includes introductory sections on numerical quadrature and function
space concepts. This book should serve as a valuable text for final
year undergraduate or postgraduate courses, and as an introduction
or reference work for practising computational mathematicians,
scientists and engineers.

Integral equations form an important class of problems, arising
frequently in engineering, and in mathematical and scientific
analysis. This textbook provides a readable account of techniques
for their numerical solution. The authors devote their attention
primarily to efficient techniques using high order approximations,
taking particular account of situations where singularities are
present. The classes of problems which arise frequently in
practice, Fredholm of the first and second kind and eigenvalue
problems, are dealt with in depth. Volterra equations, although
attractive to treat theoretically, arise less often in practical
problems and so have been given less emphasis. Some knowledge of
numerical methods and linear algebra is assumed, but the book
includes introductory sections on numerical quadrature and function
space concepts. This book should serve as a valuable text for final
year undergraduate or postgraduate courses, and as an introduction
or reference work for practising computational mathematicians,
scientists and engineers.