There are many ways to solve partial differential equations numerically. The most popular methods are: finite differencing, finite elements, and spectral methods. This chapter describes the main ideas behind finite differencing methods, since this is the most commonly used approach in numerical relativity. It focuses on methods for the numerical solution of systems of evolution equations of essentially ‘hyperbolic’ type, and does not deal with the solution of elliptic equations, such as those needed for obtaining initial data.
Oxford Scholarship Online requires a subscription or purchase to access the full text of books within the service. Public users can however freely search the site and view the abstracts and keywords for each book and chapter.
If you think you should have access to this title, please contact your librarian.