Computational Methods for Integral Equations - Couverture souple

Delves, L. M.

 
9780521357968: Computational Methods for Integral Equations

Synopsis

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.

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Présentation de l'éditeur

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.

Revue de presse

Review of the hardback: 'The material within the book is clear, readable, and well-presented and the task of reading the book proved to be no task at all. Delves and Mohamed's enjoyment of the topic, tempered by their concern for the user's needs, is evident on every page.' Applied Mathematical Modelling

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Autres éditions populaires du même titre

9780521266291: Computational Methods for Integral Equations

Edition présentée

ISBN 10 :  0521266297 ISBN 13 :  9780521266291
Editeur : Cambridge University Press, 1985
Couverture rigide