Multigrid Methods

1. Auflage 2019
ISBN: 978-0-367-44971-1
Verlag: Taylor & Francis Ltd

Buch, Englisch, 174 Seiten, Format (B × H): 174 mm x 246 mm, Gewicht: 322 g

Reihe: Chapman & Hall/CRC Research Notes in Mathematics Series

Multigrid methods are among the most efficient iterative methods for the solution of linear systems which arise in many large scale scientific calculations. Every researcher working with the numerical solution of partial differential equations should at least be familiar with this powerful technique. This invaluable book presents results concerning the rates of convergence of multigrid iterations.

Zielgruppe

Professional

Autoren/Hrsg.

Bramble, James H.

Fachgebiete

• Mathematik | Informatik Mathematik Mathematische Analysis Differentialrechnungen und -gleichungen

Inhaltsverzeichnis

1. Introduction to Iterative Methods 2. Model problems and Sobolev spaces 3. Abstract Multilevel Algorithms 4. Multigrid Algorithms with Nonnested Spaces and Varying Forms 5. Construction of Classes of Smoothers 6. Application to Second Order Elliptic Problems 7. Perturbation of Forms 8. Pseudodifferential operators of order minus one 9. Application to fourth order problems 10. Implementation, work estimates and full multigrid

Über Autor(innen)

Bramble, James H