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Spline Collocation Methods for Partial Differential Equations (With Applications in R) by Schiesser, William E. is a scholarly article available to read on EtoBox.

What is Spline Collocation Methods for Partial Differential Equations (With Applications in R) about?

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 method for numerical integration of PDEs when it is used with the MOL in which spatial (boundary value) derivatives are approximated with splines, including the boundary conditions. R, an open-source scientific programming system, is used throughout for programming the PDEs and numerical algorithms, and each section of code is clearly explained. As a result, readers gain a complete picture of the model and its computer implementation without having to fill in the details of the numerical analysis, algorithms, or programming. The presentation is not heavily mathematical, and in place of theorems and proofs, detailed example applications are provided. Appropriate for scien

Author

Schiesser, William E.

Publisher

John Wiley & Sons, Incorporated

Published

2017

Language

EN

ISBN

9781119301035