Custom cover image
Custom cover image

Collocation methods for Volterra integral and related functional differential equations / Hermann Brunner

By: Resource type: Ressourcentyp: Buch (Online)Book (Online)Language: English Series: Cambridge monographs on applied and computational mathematics ; 15Publisher: Cambridge : Cambridge University Press, 2004Description: 1 Online-Ressource (xiv, 597 pages) : digital, PDF file(s)ISBN:
  • 9780511543234
Other title:
  • Collocation Methods for Volterra Integral & Related Functional Differential Equations
Subject(s): Additional physical formats: 9780521806152. | Erscheint auch als: 9780521806152 Druck-AusgabeDDC classification:
  • 515/.45 22
MSC: MSC: *65R20 | 65-02 | 45D05 | 45E10 | 45G10 | 45J05LOC classification:
  • QA431
DOI: DOI: 10.1017/CBO9780511543234Online resources: Summary: 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.PPN: PPN: 883375729Package identifier: Produktsigel: ZDB-20-CTM | ZDB-20-CBO
No physical items for this record
KIT – The University in the Helmholtz Association                         Home | Impressum | Datenschutz | Barrierefreiheit | KIT