Collocation Methods for Volterra Integral and Related Functional Differential Equations
Title: Collocation Methods for Volterra Integral and Related Functional Differential Equations | Author(s): Hermann Brunner | Publisher: Cambridge University Press | Year: 2004 | Language: English | Pages : 612 | Size: 29 MB | Extension: pdf
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…
Spline collocation methods for partial differential equations : with applications in R
Title: Spline collocation methods for partial differential equations : with applications in R | Author(s): Schiesser, W. E | Publisher: John Wiley & Sons | Year: 2017 | Language: English | Pages : 552 | Size: 5 MB | Extension: pdf
A comprehensive approach to numerical partial differential equations
Spline Collocation Methods for Partial Differential Equations combines the collocation analysis of partial differential equations (PDEs) with the method of lines (MOL) in order to simplify the solution process. Using a series of example applications, the author delineates the main features of the approach in detail, including an established mathematical framework. The book also clearly demonstrates that spline collocation can offer a comprehensive…