Format:
1 Online-Ressource (xiii, 227 Seiten)
ISBN:
0898711983
,
9780898711981
Series Statement:
SIAM studies in applied mathematics 7
Note:
Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader
,
Includes bibliographies and index
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Some applications of Volterra equations -- Linear Volterra equations of the second kind -- Nonlinear equations of the second kind -- Equations of the first kind -- Convolution equations -- The numerical solution of equations of the second kind -- Product integration methods for equations of the second kind -- Equations of the first kind with differentiable kernels -- Equations of the Abel type -- Integrodifferential equations -- Some computer programs -- Case studies
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Presents an aspect of activity in integral equations methods for the solution of Volterra equations for those who need to solve real-world problems. Since there are few known analytical methods leading to closed-form solutions, the emphasis is on numerical techniques. The major points of the analytical methods used to study the properties of the solution are presented in the first part of the book. These techniques are important for gaining insight into the qualitative behavior of the solutions and for designing effective numerical methods. The second part of the book is devoted entirely to numerical methods. The author has chosen the simplest possible setting for the discussion, the space of real functions of real variables. The text is supplemented by examples and exercises
Additional Edition:
Erscheint auch als Druckausgabe ISBN 0898711983
Additional Edition:
Erscheint auch als Druckausgabe ISBN 9780898711981
Language:
English
Subjects:
Mathematics
Keywords:
Volterra-Integralgleichung
;
Numerisches Verfahren
;
Integralgleichung
;
Volterra-Integralgleichung
;
Volterra-Gleichungen
DOI:
10.1137/1.9781611970852
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