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Collocation Methods for Volterra Integral and Related Functional Differential Equations

Jazyk AngličtinaAngličtina
Kniha Pevná
Kniha Collocation Methods for Volterra Integral and Related Functional Differential Equations Hermann (Memorial University of Newfoundland) Brunner
Libristo kód: 02044179
Nakladateľstvo Cambridge University Press, november 2004
Collocation based on piecewise polynomial approximation represents a powerful class of methods for t... Celý popis
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Collocation based on piecewise polynomial approximation represents a powerful class of methods for the numerical solution of initial-value problems for functional differential and integral equations arising in a wide spectrum of applications, including biological and physical phenomena. The present book introduces the reader to the general principles underlying these methods and then describes in detail their convergence properties when applied to ordinary differential equations, functional equations with (Volterra type) memory terms, delay equations, and differential-algebraic and integral-algebraic equations. Each chapter starts with a self-contained introduction to the relevant theory of the class of equations under consideration. Numerous exercises and examples are supplied, along with extensive historical and bibliographical notes utilising the vast annotated reference list of over 1300 items. In sum, Hermann Brunner has written a treatise that can serve as an introduction for students, a guide for users, and a comprehensive resource for experts.

Informácie o knihe

Celý názov Collocation Methods for Volterra Integral and Related Functional Differential Equations
Jazyk Angličtina
Väzba Kniha - Pevná
Dátum vydania 2004
Počet strán 612
EAN 9780521806152
ISBN 0521806151
Libristo kód 02044179
Nakladateľstvo Cambridge University Press
Váha 1378
Rozmery 166 x 236 x 38
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