Collocation Methods for Volterra Integral and Related Functional - Differential Equation

Klappentext This is the first comprehensive introduction to collocation methods for the numerical solution of initial-value problems for ordinary differential equations, Volterra integral and integro-differential equations, and various classes of more general functional equations. It guides the reader from the "basics" to the current state-of-the-art level of the field, describes important problems and directions for future research, and highlights methods. The analysis includes numerous exercises and applications to the modelling of physical and biological phenomena. Zusammenfassung The first comprehensive guide to the analysis of collocation methods for a wide class of initial-value problems! including equations with delay arguments. It describes important problems and directions for future research. Also includes numerous exercises! a vast bibliography with historical commentary! and important applications to modelling biological and physical phenomena. Inhaltsverzeichnis 1. The collocation method for ODEs: an introduction; 2. Volterra integral equations with smooth kernels; 3. Volterra integro-differential equations with smooth kernels; 4. Initial-value problems with non-vanishing delays; 5. Initial-value problems with proportional (vanishing) delays; 6. Volterra integral equations with weakly singular kernels; 7. VIDEs with weakly singular kernels; 8. Outlook: integral-algebraic equations and beyond; 9. Epilogue.

Product details

• Authors: H. Brunner, Hermann Brunner, Hermann (Memorial University of Newfoundl Brunner, Hermann (Memorial University of Newfoundland) Brunner, Brunner Hermann
• Assisted by: M. J. Ablowitz (Editor)
• Publisher: Cambridge University Press ELT
• Languages: English
• Product format: Hardback
• Released: 15.11.2004
• EAN: 9780521806152
• ISBN: 978-0-521-80615-2
• No. of pages: 612
• Series: Cambridge Monographs on Applie; Cambridge Monographs on Applied and Computational Mathematics; Cambridge Monographs on Applie
• Subjects: Natural sciences, medicine, IT, technology > Mathematics > Analysis; MATHEMATICS / Calculus, Integral calculus & equations, Integral calculus and equations